[{"data":1,"prerenderedAt":78778},["ShallowReactive",2],{"theory-content":3},{"id":4,"title":5,"body":6,"description":78686,"extension":78771,"meta":78772,"navigation":78773,"path":78774,"seo":78775,"stem":78776,"__hash__":78777},"content/zh/theory.md","可靠性数据分析",{"type":7,"value":8,"toc":78685},"minimark",[9,12,16,20,24,27,30,34,40,51,54,58,61,67,70,73,78,80,83,86,89,93,96,99,109,112,190,193,196,199,203,236,335,451,455,458,610,1015,1018,1203,1206,1267,1378,1382,1384,1387,1391,1393,1396,1503,1508,1582,1585,2342,2494,2497,2615,2618,2621,3062,3065,3137,3340,3411,3528,3533,3535,3538,3541,3567,3571,3573,3576,3579,3582,3586,3589,3593,3596,3723,3727,3760,3792,3795,4210,4214,4245,4276,4279,4647,4651,4654,4657,5090,5093,5155,5504,5508,5544,5547,5550,6054,6058,6120,6397,6457,6460,6550,6829,6833,6892,7074,7133,7136,7183,7363,7818,8050,8961,8965,9024,9207,9268,9271,9274,9498,9501,9747,9750,10320,10324,10327,10330,10333,10839,10843,10905,10994,10997,11538,11541,11722,11769,11773,11832,11835,11838,12009,12011,12462,13023,13027,13058,13197,13201,13204,13207,13210,13822,13824,14014,14018,14082,14270,14274,14337,14401,14404,15073,15076,15346,15391,15395,15459,15586,15590,15653,15717,15720,15723,15893,15895,16487,17218,17221,18657,18660,18937,18940,19322,19391,19752,19755,19758,19761,19764,19775,19924,20265,20270,20418,20421,20424,20427,20745,20748,20852,20978,20982,21042,21339,21343,21345,21460,21464,21467,21694,21697,21700,21703,22171,22511,22595,22809,22882,22938,22969,22973,22975,23030,23034,23036,23039,23292,23347,23550,23636,23668,23918,23922,24151,24154,24225,24402,24705,24986,25033,25164,25171,25176,25231,25235,25463,25602,25847,25853,25857,25860,26130,26133,26212,26352,26618,27060,27062,27192,27406,27409,27529,27581,27585,27657,27661,28070,28196,28395,28399,28402,28845,28848,28851,28856,28859,28863,28866,29259,29564,29566,30274,30533,30821,31118,31191,31195,31198,31201,31204,31207,31507,31509,32211,32433,32718,33014,33085,33088,33121,34297,34299,34650,34653,34664,34668,34670,34705,34709,34712,34744,34747,34750,34753,35632,35635,36585,36591,37639,37700,37703,37707,37709,37712,38191,38194,38472,38475,38732,38735,39221,39224,39963,40555,40701,40705,40707,40816,41566,42183,42190,42193,42197,42200,42203,42207,42427,42431,42434,42437,43211,43500,43503,44200,44205,44267,45369,45372,46425,46578,46612,47162,47165,47474,47477,48098,48264,48268,48316,48378,48967,49000,49615,49620,49667,50240,50245,50251,50358,50361,50598,50601,50960,50962,51095,51222,51772,52327,52654,52983,52986,52997,53001,53062,53164,53167,53419,53526,53530,53728,53799,54207,54605,54884,54887,55159,55510,55512,56238,57135,57138,57572,57575,57684,57810,57812,57992,58131,58306,58481,58485,58570,58574,58577,58580,58583,58587,58644,58852,58855,58859,59066,59068,59261,59264,59661,60058,60060,60192,60195,60798,61275,61384,61476,61478,61665,61668,61845,61849,61881,61885,61889,61892,61895,61927,61930,62678,62680,63036,63038,63818,63866,63941,64095,64155,64609,64613,64647,64754,64786,65076,65081,65142,65146,65149,65299,65303,65335,66066,66068,66584,66702,67099,67102,67667,67750,68033,68037,68122,68126,68129,68184,68188,68190,68193,68196,68199,68231,68981,69096,69483,69485,70049,70158,70162,70165,70449,70453,70506,70510,70563,70566,70569,70572,70577,70580,70591,70595,70601,70605,70616,70619,70680,70929,70961,71147,71195,71319,71395,71714,71717,71720,71889,72140,72143,72423,72425,72672,72675,72679,73236,73240,73271,73330,73954,75110,75169,75200,75204,75235,75399,75404,75407,75411,75414,75418,75420,75423,75427,75430,75433,75538,75636,75639,75642,75903,75907,75909,75912,76114,76118,76120,76124,76177,76179,76433,76436,76844,76846,77160,77323,77532,77535,77966,77969,78157,78558,78561,78565,78568,78571,78629,78682],[10,11,5],"h1",{"id":5},[13,14,15],"h2",{"id":15},"寿命数据分析",[17,18,19],"h3",{"id":19},"简介",[21,22,23],"p",{},"寿命数据分析（Life Data Analysis，LDA）也称为威布尔分析或可靠性分析，是用于评估产品或系统失效时间数据的统计方法。它帮助工程师和决策者了解产品在失效前可能运行多长时间，从而对可靠性、可维修性和性能作出有依据的预测。通过将寿命数据拟合至威布尔、指数或对数正态等概率分布，LDA 可以得到平均失效时间（MTTF）、失效率和随时间变化的可靠度等重要指标。这些信息可用于改进产品设计、保修规划和维修安排。",[21,25,26],{},"LDA 广泛应用于航空航天、制造、电子和能源等重视运行时间与安全性的行业。它通过量化失效行为和识别主要失效模式，支持以数据为依据的决策。LDA 不仅能够处理完整失效数据，也能处理删失（不完整）数据，例如试验结束时仍在运行的样品，或因其他原因退出观察的样品。因此，它为提高系统可靠性和优化寿命周期成本提供了灵活而有力的分析框架。",[17,28,29],{"id":29},"统计学基础",[31,32,33],"h4",{"id":33},"随机变量",[21,35,36,39],{},[37,38,33],"strong",{},"是代表随机试验结果的数值。它为试验的各种可能结果赋予数值，使我们能够利用数学方法分析和描述不确定性。随机变量是概率论和统计学的基础，用于量化结果并计算其发生概率。",[21,41,42,43,46,47,50],{},"随机变量主要分为",[37,44,45],{},"离散型","和",[37,48,49],{},"连续型","两类。离散随机变量只能取可数的数值，例如试验中出现 0、1、2 或 3 次失效；它通常来自计数或分类过程。连续随机变量则可以在某个范围内取任意数值，例如某个部件的准确失效时间。连续变量通常通过测量得到，并以概率密度函数（PDF）描述；离散变量则使用概率质量函数（PMF）。",[21,52,53],{},"寿命数据分析只处理连续随机变量。",[31,55,57],{"id":56},"概率密度函数pdf","概率密度函数（PDF）",[21,59,60],{},"假设以下数据是 1,000 个轴承的失效时间（天）。",[62,63],"img",{"src":64,"alt":65,"width":66},"/media/image1.png","1,000 个轴承的失效时间",600,[21,68,69],{},"1,000 个轴承的失效时间（天）",[21,71,72],{},"以 100 天为组距绘制直方图：",[62,74],{"src":75,"alt":76,"width":77},"/media/image2.png","组距为 100 天的直方图",500,[21,79,76],{},[21,81,82],{},"假设我们要估计运行至 300 天时总体中已经失效的百分比。300 天之前有三个柱，其高度分别为 6、31 和 74，合计得到 111 次失效。",[21,84,85],{},"样本总数为 1,000 个，因此轴承在运行 300 天内失效的概率为 0.111。请注意，以这个直方图只能按照 100 天的组距查询 100、200、300 天等时点的失效概率。",[21,87,88],{},"现在在直方图上叠加一条函数曲线：",[62,90],{"src":91,"alt":92,"width":77},"/media/image3.png","在直方图上叠加概率密度曲线",[21,94,95],{},"在直方图上叠加函数曲线",[21,97,98],{},"该函数应具有以下特性：",[100,101,102,106],"ol",{},[103,104,105],"li",{},"函数轮廓反映并平滑各柱的数值。",[103,107,108],{},"函数曲线下的总面积等于 1。",[21,110,111],{},"有了这个函数，我们可以查询任意目标时间的失效概率。例如，将该函数从 0 积分至 150 天，即可求得 150 天内的失效概率。",[21,113,114,115,118,119,189],{},"这个函数称为",[37,116,117],{},"概率密度函数","（Probability Density Function，PDF），记为 ",[120,121,124,158],"span",{"className":122},[123],"katex",[120,125,128],{"className":126},[127],"katex-mathml",[129,130,132],"math",{"xmlns":131},"http://www.w3.org/1998/Math/MathML",[133,134,135,153],"semantics",{},[136,137,138,142,147,150],"mrow",{},[139,140,141],"mi",{},"f",[143,144,146],"mo",{"stretchy":145},"false","(",[139,148,149],{},"t",[143,151,152],{"stretchy":145},")",[154,155,157],"annotation",{"encoding":156},"application/x-tex","f(t)",[120,159,163],{"className":160,"ariaHidden":162},[161],"katex-html","true",[120,164,167,172,178,182,185],{"className":165},[166],"base",[120,168],{"className":169,"style":171},[170],"strut","height:1em;vertical-align:-0.25em;",[120,173,141],{"className":174,"style":177},[175,176],"mord","mathnormal","margin-right:0.10764em;",[120,179,146],{"className":180},[181],"mopen",[120,183,149],{"className":184},[175,176],[120,186,152],{"className":187},[188],"mclose","。",[62,191],{"src":192,"alt":117,"width":77},"/media/image4.png",[21,194,195],{},"概率密度函数直观描述失效时间的分布情况",[21,197,198],{},"概率密度函数是描述连续随机变量在某一数值附近出现可能性的数学函数。变量落在指定区间内的概率，由 PDF 曲线在该区间下方的面积确定。整条 PDF 曲线下的总面积恒等于 1，表示变量必然在其定义域内取某个数值。",[31,200,202],{"id":201},"累积分布函数cdf","累积分布函数（CDF）",[21,204,205,206,235],{},"PDF 可以直观显示随机变量的分布，但要直接读取函数曲线截至某个时点的面积并不方便。累积分布函数（CDF）则允许我们直接读取时间 ",[120,207,209,222],{"className":208},[123],[120,210,212],{"className":211},[127],[129,213,214],{"xmlns":131},[133,215,216,220],{},[136,217,218],{},[139,219,149],{},[154,221,149],{"encoding":156},[120,223,225],{"className":224,"ariaHidden":162},[161],[120,226,228,232],{"className":227},[166],[120,229],{"className":230,"style":231},[170],"height:0.6151em;",[120,233,149],{"className":234},[175,176]," 时的失效概率。",[21,237,238,239,285,286,331,332,189],{},"大多数经典统计教材以 ",[120,240,242,263],{"className":241},[123],[120,243,245],{"className":244},[127],[129,246,247],{"xmlns":131},[133,248,249,260],{},[136,250,251,254,256,258],{},[139,252,253],{},"F",[143,255,146],{"stretchy":145},[139,257,149],{},[143,259,152],{"stretchy":145},[154,261,262],{"encoding":156},"F(t)",[120,264,266],{"className":265,"ariaHidden":162},[161],[120,267,269,272,276,279,282],{"className":268},[166],[120,270],{"className":271,"style":171},[170],[120,273,253],{"className":274,"style":275},[175,176],"margin-right:0.13889em;",[120,277,146],{"className":278},[181],[120,280,149],{"className":281},[175,176],[120,283,152],{"className":284},[188]," 表示 CDF；可靠性教材则常用 ",[120,287,289,310],{"className":288},[123],[120,290,292],{"className":291},[127],[129,293,294],{"xmlns":131},[133,295,296,307],{},[136,297,298,301,303,305],{},[139,299,300],{},"Q",[143,302,146],{"stretchy":145},[139,304,149],{},[143,306,152],{"stretchy":145},[154,308,309],{"encoding":156},"Q(t)",[120,311,313],{"className":312,"ariaHidden":162},[161],[120,314,316,319,322,325,328],{"className":315},[166],[120,317],{"className":318,"style":171},[170],[120,320,300],{"className":321},[175,176],[120,323,146],{"className":324},[181],[120,326,149],{"className":327},[175,176],[120,329,152],{"className":330},[188],"。CDF 也称为",[37,333,334],{},"不可靠度函数",[21,336,337,338,189],{},"如下图所示，可直接从 CDF 读取：",[120,339,341,377],{"className":340},[123],[120,342,344],{"className":343},[127],[129,345,346],{"xmlns":131},[133,347,348,374],{},[136,349,350,352,354,356,359,363,367,369,371],{},[139,351,300],{},[143,353,146],{"stretchy":145},[139,355,149],{},[143,357,358],{},"=",[360,361,362],"mn",{},"300",[364,365,366],"mtext",{}," 天",[143,368,152],{"stretchy":145},[143,370,358],{},[360,372,373],{},"0.11",[154,375,376],{"encoding":156},"Q(t=300\\text{ 天})=0.11",[120,378,380,407,441],{"className":379,"ariaHidden":162},[161],[120,381,383,386,389,392,395,400,404],{"className":382},[166],[120,384],{"className":385,"style":171},[170],[120,387,300],{"className":388},[175,176],[120,390,146],{"className":391},[181],[120,393,149],{"className":394},[175,176],[120,396],{"className":397,"style":399},[398],"mspace","margin-right:0.2778em;",[120,401,358],{"className":402},[403],"mrel",[120,405],{"className":406,"style":399},[398],[120,408,410,413,416,429,432,435,438],{"className":409},[166],[120,411],{"className":412,"style":171},[170],[120,414,362],{"className":415},[175],[120,417,420,424],{"className":418},[175,419],"text",[120,421,423],{"className":422},[175]," ",[120,425,428],{"className":426},[175,427],"cjk_fallback","天",[120,430,152],{"className":431},[188],[120,433],{"className":434,"style":399},[398],[120,436,358],{"className":437},[403],[120,439],{"className":440,"style":399},[398],[120,442,444,448],{"className":443},[166],[120,445],{"className":446,"style":447},[170],"height:0.6444em;",[120,449,373],{"className":450},[175],[62,452],{"src":453,"alt":454,"width":77},"/media/image5.png","从 CDF 和 PDF 读取失效概率",[21,456,457],{},"从 CDF 和 PDF 读取失效概率（不可靠度）",[21,459,460,461,504,505,557,558,609],{},"若从 PDF 读取该数值，必须求出 ",[120,462,464,483],{"className":463},[123],[120,465,467],{"className":466},[127],[129,468,469],{"xmlns":131},[133,470,471,481],{},[136,472,473,475,477,479],{},[139,474,141],{},[143,476,146],{"stretchy":145},[139,478,149],{},[143,480,152],{"stretchy":145},[154,482,157],{"encoding":156},[120,484,486],{"className":485,"ariaHidden":162},[161],[120,487,489,492,495,498,501],{"className":488},[166],[120,490],{"className":491,"style":171},[170],[120,493,141],{"className":494,"style":177},[175,176],[120,496,146],{"className":497},[181],[120,499,149],{"className":500},[175,176],[120,502,152],{"className":503},[188]," 从 ",[120,506,508,527],{"className":507},[123],[120,509,511],{"className":510},[127],[129,512,513],{"xmlns":131},[133,514,515,524],{},[136,516,517,519,521],{},[139,518,149],{},[143,520,358],{},[360,522,523],{},"0",[154,525,526],{"encoding":156},"t=0",[120,528,530,548],{"className":529,"ariaHidden":162},[161],[120,531,533,536,539,542,545],{"className":532},[166],[120,534],{"className":535,"style":231},[170],[120,537,149],{"className":538},[175,176],[120,540],{"className":541,"style":399},[398],[120,543,358],{"className":544},[403],[120,546],{"className":547,"style":399},[398],[120,549,551,554],{"className":550},[166],[120,552],{"className":553,"style":447},[170],[120,555,523],{"className":556},[175]," 至 ",[120,559,561,579],{"className":560},[123],[120,562,564],{"className":563},[127],[129,565,566],{"xmlns":131},[133,567,568,576],{},[136,569,570,572,574],{},[139,571,149],{},[143,573,358],{},[360,575,362],{},[154,577,578],{"encoding":156},"t=300",[120,580,582,600],{"className":581,"ariaHidden":162},[161],[120,583,585,588,591,594,597],{"className":584},[166],[120,586],{"className":587,"style":231},[170],[120,589,149],{"className":590},[175,176],[120,592],{"className":593,"style":399},[398],[120,595,358],{"className":596},[403],[120,598],{"className":599,"style":399},[398],[120,601,603,606],{"className":602},[166],[120,604],{"className":605,"style":447},[170],[120,607,362],{"className":608},[175]," 天的曲线下面积，这并非简单的工作。CDF 是 PDF 的积分：",[21,611,612],{},[120,613,615,698],{"className":614},[123],[120,616,618],{"className":617},[127],[129,619,620],{"xmlns":131},[133,621,622,695],{},[136,623,624,626,628,635,637,639,642,644,646,649,655,657,659,680],{},[139,625,300],{},[143,627,146],{"stretchy":145},[629,630,631,633],"msub",{},[139,632,149],{},[360,634,523],{},[143,636,152],{"stretchy":145},[143,638,358],{},[139,640,641],{},"P",[143,643,146],{"stretchy":145},[139,645,149],{},[143,647,648],{},"≤",[629,650,651,653],{},[139,652,149],{},[360,654,523],{},[143,656,152],{"stretchy":145},[143,658,358],{},[660,661,662,665,674],"msubsup",{},[143,663,664],{},"∫",[136,666,667,670],{},[143,668,669],{},"−",[139,671,673],{"mathvariant":672},"normal","∞",[629,675,676,678],{},[139,677,149],{},[360,679,523],{},[136,681,682,684,686,688,690,693],{},[139,683,141],{},[143,685,146],{"stretchy":145},[139,687,149],{},[143,689,152],{"stretchy":145},[139,691,692],{},"d",[139,694,149],{},[154,696,697],{"encoding":156},"Q(t_{0}) = P(t \\leq t_{0}) = \\int_{- \\infty}^{t_{0}}{f(t)dt}",[120,699,701,784,808,869],{"className":700,"ariaHidden":162},[161],[120,702,704,707,710,713,772,775,778,781],{"className":703},[166],[120,705],{"className":706,"style":171},[170],[120,708,300],{"className":709},[175,176],[120,711,146],{"className":712},[181],[120,714,716,719],{"className":715},[175],[120,717,149],{"className":718},[175,176],[120,720,723],{"className":721},[722],"msupsub",[120,724,728,763],{"className":725},[726,727],"vlist-t","vlist-t2",[120,729,732,758],{"className":730},[731],"vlist-r",[120,733,737],{"className":734,"style":736},[735],"vlist","height:0.3011em;",[120,738,740,745],{"style":739},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[120,741],{"className":742,"style":744},[743],"pstrut","height:2.7em;",[120,746,752],{"className":747},[748,749,750,751],"sizing","reset-size6","size3","mtight",[120,753,755],{"className":754},[175,751],[120,756,523],{"className":757},[175,751],[120,759,762],{"className":760},[761],"vlist-s","​",[120,764,766],{"className":765},[731],[120,767,770],{"className":768,"style":769},[735],"height:0.15em;",[120,771],{},[120,773,152],{"className":774},[188],[120,776],{"className":777,"style":399},[398],[120,779,358],{"className":780},[403],[120,782],{"className":783,"style":399},[398],[120,785,787,790,793,796,799,802,805],{"className":786},[166],[120,788],{"className":789,"style":171},[170],[120,791,641],{"className":792,"style":275},[175,176],[120,794,146],{"className":795},[181],[120,797,149],{"className":798},[175,176],[120,800],{"className":801,"style":399},[398],[120,803,648],{"className":804},[403],[120,806],{"className":807,"style":399},[398],[120,809,811,814,857,860,863,866],{"className":810},[166],[120,812],{"className":813,"style":171},[170],[120,815,817,820],{"className":816},[175],[120,818,149],{"className":819},[175,176],[120,821,823],{"className":822},[722],[120,824,826,849],{"className":825},[726,727],[120,827,829,846],{"className":828},[731],[120,830,832],{"className":831,"style":736},[735],[120,833,834,837],{"style":739},[120,835],{"className":836,"style":744},[743],[120,838,840],{"className":839},[748,749,750,751],[120,841,843],{"className":842},[175,751],[120,844,523],{"className":845},[175,751],[120,847,762],{"className":848},[761],[120,850,852],{"className":851},[731],[120,853,855],{"className":854,"style":769},[735],[120,856],{},[120,858,152],{"className":859},[188],[120,861],{"className":862,"style":399},[398],[120,864,358],{"className":865},[403],[120,867],{"className":868,"style":399},[398],[120,870,872,876,990,994],{"className":871},[166],[120,873],{"className":874,"style":875},[170],"height:1.4026em;vertical-align:-0.4142em;",[120,877,880,886],{"className":878},[879],"mop",[120,881,664],{"className":882,"style":885},[879,883,884],"op-symbol","small-op","margin-right:0.19445em;position:relative;top:-0.0006em;",[120,887,889],{"className":888},[722],[120,890,892,981],{"className":891},[726,727],[120,893,895,978],{"className":894},[731],[120,896,899,917],{"className":897,"style":898},[735],"height:0.9885em;",[120,900,902,905],{"style":901},"top:-2.3442em;margin-left:-0.1945em;margin-right:0.05em;",[120,903],{"className":904,"style":744},[743],[120,906,908],{"className":907},[748,749,750,751],[120,909,911,914],{"className":910},[175,751],[120,912,669],{"className":913},[175,751],[120,915,673],{"className":916},[175,751],[120,918,920,923],{"style":919},"top:-3.2579em;margin-right:0.05em;",[120,921],{"className":922,"style":744},[743],[120,924,926],{"className":925},[748,749,750,751],[120,927,929],{"className":928},[175,751],[120,930,932,935],{"className":931},[175,751],[120,933,149],{"className":934},[175,176,751],[120,936,938],{"className":937},[722],[120,939,941,969],{"className":940},[726,727],[120,942,944,966],{"className":943},[731],[120,945,948],{"className":946,"style":947},[735],"height:0.3173em;",[120,949,951,955],{"style":950},"top:-2.357em;margin-left:0em;margin-right:0.0714em;",[120,952],{"className":953,"style":954},[743],"height:2.5em;",[120,956,960],{"className":957},[748,958,959,751],"reset-size3","size1",[120,961,963],{"className":962},[175,751],[120,964,523],{"className":965},[175,751],[120,967,762],{"className":968},[761],[120,970,972],{"className":971},[731],[120,973,976],{"className":974,"style":975},[735],"height:0.143em;",[120,977],{},[120,979,762],{"className":980},[761],[120,982,984],{"className":983},[731],[120,985,988],{"className":986,"style":987},[735],"height:0.4142em;",[120,989],{},[120,991],{"className":992,"style":993},[398],"margin-right:0.1667em;",[120,995,997,1000,1003,1006,1009,1012],{"className":996},[175],[120,998,141],{"className":999,"style":177},[175,176],[120,1001,146],{"className":1002},[181],[120,1004,149],{"className":1005},[175,176],[120,1007,152],{"className":1008},[188],[120,1010,692],{"className":1011},[175,176],[120,1013,149],{"className":1014},[175,176],[21,1016,1017],{},"反之，PDF 是 CDF 的导数：",[21,1019,1020],{},[120,1021,1023,1070],{"className":1022},[123],[120,1024,1026],{"className":1025},[127],[129,1027,1028],{"xmlns":131},[133,1029,1030,1067],{},[136,1031,1032,1034,1036,1038,1040,1042],{},[139,1033,141],{},[143,1035,146],{"stretchy":145},[139,1037,149],{},[143,1039,152],{"stretchy":145},[143,1041,358],{},[1043,1044,1045,1061],"mfrac",{},[136,1046,1047,1049,1051,1053,1055,1057,1059],{},[139,1048,692],{},[143,1050,146],{"stretchy":145},[139,1052,300],{},[143,1054,146],{"stretchy":145},[139,1056,149],{},[143,1058,152],{"stretchy":145},[143,1060,152],{"stretchy":145},[136,1062,1063,1065],{},[139,1064,692],{},[139,1066,149],{},[154,1068,1069],{"encoding":156},"f(t) = \\frac{d(Q(t))}{dt}",[120,1071,1073,1100],{"className":1072,"ariaHidden":162},[161],[120,1074,1076,1079,1082,1085,1088,1091,1094,1097],{"className":1075},[166],[120,1077],{"className":1078,"style":171},[170],[120,1080,141],{"className":1081,"style":177},[175,176],[120,1083,146],{"className":1084},[181],[120,1086,149],{"className":1087},[175,176],[120,1089,152],{"className":1090},[188],[120,1092],{"className":1093,"style":399},[398],[120,1095,358],{"className":1096},[403],[120,1098],{"className":1099,"style":399},[398],[120,1101,1103,1107],{"className":1102},[166],[120,1104],{"className":1105,"style":1106},[170],"height:1.355em;vertical-align:-0.345em;",[120,1108,1110,1114,1200],{"className":1109},[175],[120,1111],{"className":1112},[181,1113],"nulldelimiter",[120,1115,1117],{"className":1116},[1043],[120,1118,1120,1191],{"className":1119},[726,727],[120,1121,1123,1188],{"className":1122},[731],[120,1124,1127,1146,1157],{"className":1125,"style":1126},[735],"height:1.01em;",[120,1128,1130,1134],{"style":1129},"top:-2.655em;",[120,1131],{"className":1132,"style":1133},[743],"height:3em;",[120,1135,1137],{"className":1136},[748,749,750,751],[120,1138,1140,1143],{"className":1139},[175,751],[120,1141,692],{"className":1142},[175,176,751],[120,1144,149],{"className":1145},[175,176,751],[120,1147,1149,1152],{"style":1148},"top:-3.23em;",[120,1150],{"className":1151,"style":1133},[743],[120,1153],{"className":1154,"style":1156},[1155],"frac-line","border-bottom-width:0.04em;",[120,1158,1160,1163],{"style":1159},"top:-3.485em;",[120,1161],{"className":1162,"style":1133},[743],[120,1164,1166],{"className":1165},[748,749,750,751],[120,1167,1169,1172,1175,1178,1181,1184],{"className":1168},[175,751],[120,1170,692],{"className":1171},[175,176,751],[120,1173,146],{"className":1174},[181,751],[120,1176,300],{"className":1177},[175,176,751],[120,1179,146],{"className":1180},[181,751],[120,1182,149],{"className":1183},[175,176,751],[120,1185,1187],{"className":1186},[188,751],"))",[120,1189,762],{"className":1190},[761],[120,1192,1194],{"className":1193},[731],[120,1195,1198],{"className":1196,"style":1197},[735],"height:0.345em;",[120,1199],{},[120,1201],{"className":1202},[188,1113],[31,1204,1205],{"id":1205},"可靠度与不可靠度",[21,1207,1208,1209,1237,1238,1266],{},"不可靠度图（CDF）允许用户直接读取时间 ",[120,1210,1212,1225],{"className":1211},[123],[120,1213,1215],{"className":1214},[127],[129,1216,1217],{"xmlns":131},[133,1218,1219,1223],{},[136,1220,1221],{},[139,1222,149],{},[154,1224,149],{"encoding":156},[120,1226,1228],{"className":1227,"ariaHidden":162},[161],[120,1229,1231,1234],{"className":1230},[166],[120,1232],{"className":1233,"style":231},[170],[120,1235,149],{"className":1236},[175,176]," 时的失效概率。时间 ",[120,1239,1241,1254],{"className":1240},[123],[120,1242,1244],{"className":1243},[127],[129,1245,1246],{"xmlns":131},[133,1247,1248,1252],{},[136,1249,1250],{},[139,1251,149],{},[154,1253,149],{"encoding":156},[120,1255,1257],{"className":1256,"ariaHidden":162},[161],[120,1258,1260,1263],{"className":1259},[166],[120,1261],{"className":1262,"style":231},[170],[120,1264,149],{"className":1265},[175,176]," 时的可靠度为：",[21,1268,1269],{},[120,1270,1272,1308],{"className":1271},[123],[120,1273,1275],{"className":1274},[127],[129,1276,1277],{"xmlns":131},[133,1278,1279,1305],{},[136,1280,1281,1284,1286,1288,1290,1292,1295,1297,1299,1301,1303],{},[139,1282,1283],{},"R",[143,1285,146],{"stretchy":145},[139,1287,149],{},[143,1289,152],{"stretchy":145},[143,1291,358],{},[360,1293,1294],{},"1",[143,1296,669],{},[139,1298,300],{},[143,1300,146],{"stretchy":145},[139,1302,149],{},[143,1304,152],{"stretchy":145},[154,1306,1307],{"encoding":156},"R(t) = 1 - Q(t)",[120,1309,1311,1339,1360],{"className":1310,"ariaHidden":162},[161],[120,1312,1314,1317,1321,1324,1327,1330,1333,1336],{"className":1313},[166],[120,1315],{"className":1316,"style":171},[170],[120,1318,1283],{"className":1319,"style":1320},[175,176],"margin-right:0.00773em;",[120,1322,146],{"className":1323},[181],[120,1325,149],{"className":1326},[175,176],[120,1328,152],{"className":1329},[188],[120,1331],{"className":1332,"style":399},[398],[120,1334,358],{"className":1335},[403],[120,1337],{"className":1338,"style":399},[398],[120,1340,1342,1346,1349,1353,1357],{"className":1341},[166],[120,1343],{"className":1344,"style":1345},[170],"height:0.7278em;vertical-align:-0.0833em;",[120,1347,1294],{"className":1348},[175],[120,1350],{"className":1351,"style":1352},[398],"margin-right:0.2222em;",[120,1354,669],{"className":1355},[1356],"mbin",[120,1358],{"className":1359,"style":1352},[398],[120,1361,1363,1366,1369,1372,1375],{"className":1362},[166],[120,1364],{"className":1365,"style":171},[170],[120,1367,300],{"className":1368},[175,176],[120,1370,146],{"className":1371},[181],[120,1373,149],{"className":1374},[175,176],[120,1376,152],{"className":1377},[188],[62,1379],{"src":1380,"alt":1381,"width":77},"/media/image6.png","从不可靠度图读取可靠度",[21,1383,1381],{},[21,1385,1386],{},"利用上述关系可以得到可靠度曲线。",[62,1388],{"src":1389,"alt":1390,"width":77},"/media/image7.png","可靠度随时间变化曲线",[21,1392,1390],{},[31,1394,1395],{"id":1395},"失效率",[21,1397,1398,1399,1427,1428,1473,1474,1502],{},"数学上，时间 ",[120,1400,1402,1415],{"className":1401},[123],[120,1403,1405],{"className":1404},[127],[129,1406,1407],{"xmlns":131},[133,1408,1409,1413],{},[136,1410,1411],{},[139,1412,149],{},[154,1414,149],{"encoding":156},[120,1416,1418],{"className":1417,"ariaHidden":162},[161],[120,1419,1421,1424],{"className":1420},[166],[120,1422],{"className":1423,"style":231},[170],[120,1425,149],{"className":1426},[175,176]," 时的失效率 ",[120,1429,1431,1452],{"className":1430},[123],[120,1432,1434],{"className":1433},[127],[129,1435,1436],{"xmlns":131},[133,1437,1438,1449],{},[136,1439,1440,1443,1445,1447],{},[139,1441,1442],{},"λ",[143,1444,146],{"stretchy":145},[139,1446,149],{},[143,1448,152],{"stretchy":145},[154,1450,1451],{"encoding":156},"\\lambda(t)",[120,1453,1455],{"className":1454,"ariaHidden":162},[161],[120,1456,1458,1461,1464,1467,1470],{"className":1457},[166],[120,1459],{"className":1460,"style":171},[170],[120,1462,1442],{"className":1463},[175,176],[120,1465,146],{"className":1466},[181],[120,1468,149],{"className":1469},[175,176],[120,1471,152],{"className":1472},[188]," 定义为：在总体已经存活至时间 ",[120,1475,1477,1490],{"className":1476},[123],[120,1478,1480],{"className":1479},[127],[129,1481,1482],{"xmlns":131},[133,1483,1484,1488],{},[136,1485,1486],{},[139,1487,149],{},[154,1489,149],{"encoding":156},[120,1491,1493],{"className":1492,"ariaHidden":162},[161],[120,1494,1496,1499],{"className":1495},[166],[120,1497],{"className":1498,"style":231},[170],[120,1500,149],{"className":1501},[175,176]," 的条件下，单位时间内发生失效的概率。",[62,1504],{"src":1505,"alt":1506,"width":1507},"/media/image8.png","失效率示意图",400,[21,1509,1510,1511,1547,1548],{},"蓝色区域表示在 ",[120,1512,1514,1531],{"className":1513},[123],[120,1515,1517],{"className":1516},[127],[129,1518,1519],{"xmlns":131},[133,1520,1521,1528],{},[136,1522,1523,1526],{},[139,1524,1525],{"mathvariant":672},"Δ",[139,1527,149],{},[154,1529,1530],{"encoding":156},"\\Delta t",[120,1532,1534],{"className":1533,"ariaHidden":162},[161],[120,1535,1537,1541,1544],{"className":1536},[166],[120,1538],{"className":1539,"style":1540},[170],"height:0.6833em;",[120,1542,1525],{"className":1543},[175],[120,1545,149],{"className":1546},[175,176]," 内发生的失效数 ",[120,1549,1551,1567],{"className":1550},[123],[120,1552,1554],{"className":1553},[127],[129,1555,1556],{"xmlns":131},[133,1557,1558,1564],{},[136,1559,1560,1562],{},[139,1561,1525],{"mathvariant":672},[139,1563,253],{},[154,1565,1566],{"encoding":156},"\\Delta F",[120,1568,1570],{"className":1569,"ariaHidden":162},[161],[120,1571,1573,1576,1579],{"className":1572},[166],[120,1574],{"className":1575,"style":1540},[170],[120,1577,1525],{"className":1578},[175],[120,1580,253],{"className":1581,"style":275},[175,176],[21,1583,1584],{},"根据定义：",[120,1586,1589],{"className":1587},[1588],"katex-display",[120,1590,1592,1741],{"className":1591},[123],[120,1593,1595],{"className":1594},[127],[129,1596,1598],{"xmlns":131,"display":1597},"block",[133,1599,1600,1738],{},[136,1601,1602,1641,1671,1710],{},[136,1603,1604,1606,1608,1610,1612,1614],{},[139,1605,1442],{},[143,1607,146],{"stretchy":145},[139,1609,149],{},[143,1611,152],{"stretchy":145},[143,1613,358],{},[1043,1615,1616,1635],{},[1043,1617,1618,1624],{},[136,1619,1620,1622],{},[139,1621,1525],{"mathvariant":672},[139,1623,253],{},[136,1625,1626,1629,1631,1633],{},[139,1627,1628],{},"N",[143,1630,146],{"stretchy":145},[139,1632,149],{},[143,1634,152],{"stretchy":145},[136,1636,1637,1639],{},[139,1638,1525],{"mathvariant":672},[139,1640,149],{},[136,1642,1643,1645,1663,1665,1667,1669],{},[143,1644,358],{},[1043,1646,1647,1653],{},[629,1648,1649,1651],{},[139,1650,1628],{},[360,1652,523],{},[136,1654,1655,1657,1659,1661],{},[139,1656,1628],{},[143,1658,146],{"stretchy":145},[139,1660,149],{},[143,1662,152],{"stretchy":145},[139,1664,141],{},[143,1666,146],{"stretchy":145},[139,1668,149],{},[143,1670,152],{"stretchy":145},[136,1672,1673,1675,1702,1704,1706,1708],{},[143,1674,358],{},[1043,1676,1677,1683],{},[629,1678,1679,1681],{},[139,1680,1628],{},[360,1682,523],{},[136,1684,1685,1691,1694,1696,1698,1700],{},[629,1686,1687,1689],{},[139,1688,1628],{},[360,1690,523],{},[143,1692,1693],{},"∙",[139,1695,1283],{},[143,1697,146],{"stretchy":145},[139,1699,149],{},[143,1701,152],{"stretchy":145},[139,1703,141],{},[143,1705,146],{"stretchy":145},[139,1707,149],{},[143,1709,152],{"stretchy":145},[136,1711,1712,1714],{},[143,1713,358],{},[1043,1715,1716,1728],{},[136,1717,1718,1720,1722,1724,1726],{},[139,1719,141],{},[143,1721,146],{"stretchy":145},[139,1723,149],{},[143,1725,152],{"stretchy":145},[364,1727,423],{},[136,1729,1730,1732,1734,1736],{},[139,1731,1283],{},[143,1733,146],{"stretchy":145},[139,1735,149],{},[143,1737,152],{"stretchy":145},[154,1739,1740],{"encoding":156},"{\\lambda(t) = \\frac{\\frac{\\Delta F}{N(t)}}{\\Delta t}\n}{= \\frac{N_{0}}{N(t)}f(t)\n}{= \\frac{N_{0}}{N_{0} \\bullet R(t)}f(t)\n}{= \\frac{f(t)\\text{~}}{R(t)}}",[120,1742,1744],{"className":1743,"ariaHidden":162},[161],[120,1745,1747,1751,1925,2061,2245],{"className":1746},[166],[120,1748],{"className":1749,"style":1750},[170],"height:2.7183em;vertical-align:-0.936em;",[120,1752,1754,1757,1760,1763,1766,1769,1772,1775],{"className":1753},[175],[120,1755,1442],{"className":1756},[175,176],[120,1758,146],{"className":1759},[181],[120,1761,149],{"className":1762},[175,176],[120,1764,152],{"className":1765},[188],[120,1767],{"className":1768,"style":399},[398],[120,1770,358],{"className":1771},[403],[120,1773],{"className":1774,"style":399},[398],[120,1776,1778,1781,1922],{"className":1777},[175],[120,1779],{"className":1780},[181,1113],[120,1782,1784],{"className":1783},[1043],[120,1785,1787,1913],{"className":1786},[726,727],[120,1788,1790,1910],{"className":1789},[731],[120,1791,1794,1809,1817],{"className":1792,"style":1793},[735],"height:1.7823em;",[120,1795,1797,1800],{"style":1796},"top:-2.314em;",[120,1798],{"className":1799,"style":1133},[743],[120,1801,1803,1806],{"className":1802},[175],[120,1804,1525],{"className":1805},[175],[120,1807,149],{"className":1808},[175,176],[120,1810,1811,1814],{"style":1148},[120,1812],{"className":1813,"style":1133},[743],[120,1815],{"className":1816,"style":1156},[1155],[120,1818,1820,1823],{"style":1819},"top:-3.91em;",[120,1821],{"className":1822,"style":1133},[743],[120,1824,1826],{"className":1825},[175],[120,1827,1829,1832,1907],{"className":1828},[175],[120,1830],{"className":1831},[181,1113],[120,1833,1835],{"className":1834},[1043],[120,1836,1838,1898],{"className":1837},[726,727],[120,1839,1841,1895],{"className":1840},[731],[120,1842,1845,1869,1877],{"className":1843,"style":1844},[735],"height:0.8723em;",[120,1846,1847,1850],{"style":1129},[120,1848],{"className":1849,"style":1133},[743],[120,1851,1853],{"className":1852},[748,749,750,751],[120,1854,1856,1860,1863,1866],{"className":1855},[175,751],[120,1857,1628],{"className":1858,"style":1859},[175,176,751],"margin-right:0.10903em;",[120,1861,146],{"className":1862},[181,751],[120,1864,149],{"className":1865},[175,176,751],[120,1867,152],{"className":1868},[188,751],[120,1870,1871,1874],{"style":1148},[120,1872],{"className":1873,"style":1133},[743],[120,1875],{"className":1876,"style":1156},[1155],[120,1878,1880,1883],{"style":1879},"top:-3.394em;",[120,1881],{"className":1882,"style":1133},[743],[120,1884,1886],{"className":1885},[748,749,750,751],[120,1887,1889,1892],{"className":1888},[175,751],[120,1890,1525],{"className":1891},[175,751],[120,1893,253],{"className":1894,"style":275},[175,176,751],[120,1896,762],{"className":1897},[761],[120,1899,1901],{"className":1900},[731],[120,1902,1905],{"className":1903,"style":1904},[735],"height:0.52em;",[120,1906],{},[120,1908],{"className":1909},[188,1113],[120,1911,762],{"className":1912},[761],[120,1914,1916],{"className":1915},[731],[120,1917,1920],{"className":1918,"style":1919},[735],"height:0.686em;",[120,1921],{},[120,1923],{"className":1924},[188,1113],[120,1926,1928,1931,1934,2049,2052,2055,2058],{"className":1927},[175],[120,1929,358],{"className":1930},[403],[120,1932],{"className":1933,"style":399},[398],[120,1935,1937,1940,2046],{"className":1936},[175],[120,1938],{"className":1939},[181,1113],[120,1941,1943],{"className":1942},[1043],[120,1944,1946,2037],{"className":1945},[726,727],[120,1947,1949,2034],{"className":1948},[731],[120,1950,1953,1973,1981],{"className":1951,"style":1952},[735],"height:1.3603em;",[120,1954,1955,1958],{"style":1796},[120,1956],{"className":1957,"style":1133},[743],[120,1959,1961,1964,1967,1970],{"className":1960},[175],[120,1962,1628],{"className":1963,"style":1859},[175,176],[120,1965,146],{"className":1966},[181],[120,1968,149],{"className":1969},[175,176],[120,1971,152],{"className":1972},[188],[120,1974,1975,1978],{"style":1148},[120,1976],{"className":1977,"style":1133},[743],[120,1979],{"className":1980,"style":1156},[1155],[120,1982,1984,1987],{"style":1983},"top:-3.677em;",[120,1985],{"className":1986,"style":1133},[743],[120,1988,1990],{"className":1989},[175],[120,1991,1993,1996],{"className":1992},[175],[120,1994,1628],{"className":1995,"style":1859},[175,176],[120,1997,1999],{"className":1998},[722],[120,2000,2002,2026],{"className":2001},[726,727],[120,2003,2005,2023],{"className":2004},[731],[120,2006,2008],{"className":2007,"style":736},[735],[120,2009,2011,2014],{"style":2010},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[120,2012],{"className":2013,"style":744},[743],[120,2015,2017],{"className":2016},[748,749,750,751],[120,2018,2020],{"className":2019},[175,751],[120,2021,523],{"className":2022},[175,751],[120,2024,762],{"className":2025},[761],[120,2027,2029],{"className":2028},[731],[120,2030,2032],{"className":2031,"style":769},[735],[120,2033],{},[120,2035,762],{"className":2036},[761],[120,2038,2040],{"className":2039},[731],[120,2041,2044],{"className":2042,"style":2043},[735],"height:0.936em;",[120,2045],{},[120,2047],{"className":2048},[188,1113],[120,2050,141],{"className":2051,"style":177},[175,176],[120,2053,146],{"className":2054},[181],[120,2056,149],{"className":2057},[175,176],[120,2059,152],{"className":2060},[188],[120,2062,2064,2067,2070,2233,2236,2239,2242],{"className":2063},[175],[120,2065,358],{"className":2066},[403],[120,2068],{"className":2069,"style":399},[398],[120,2071,2073,2076,2230],{"className":2072},[175],[120,2074],{"className":2075},[181,1113],[120,2077,2079],{"className":2078},[1043],[120,2080,2082,2222],{"className":2081},[726,727],[120,2083,2085,2219],{"className":2084},[731],[120,2086,2088,2160,2168],{"className":2087,"style":1952},[735],[120,2089,2090,2093],{"style":1796},[120,2091],{"className":2092,"style":1133},[743],[120,2094,2096,2139,2142,2145,2148,2151,2154,2157],{"className":2095},[175],[120,2097,2099,2102],{"className":2098},[175],[120,2100,1628],{"className":2101,"style":1859},[175,176],[120,2103,2105],{"className":2104},[722],[120,2106,2108,2131],{"className":2107},[726,727],[120,2109,2111,2128],{"className":2110},[731],[120,2112,2114],{"className":2113,"style":736},[735],[120,2115,2116,2119],{"style":2010},[120,2117],{"className":2118,"style":744},[743],[120,2120,2122],{"className":2121},[748,749,750,751],[120,2123,2125],{"className":2124},[175,751],[120,2126,523],{"className":2127},[175,751],[120,2129,762],{"className":2130},[761],[120,2132,2134],{"className":2133},[731],[120,2135,2137],{"className":2136,"style":769},[735],[120,2138],{},[120,2140],{"className":2141,"style":1352},[398],[120,2143,1693],{"className":2144},[1356],[120,2146],{"className":2147,"style":1352},[398],[120,2149,1283],{"className":2150,"style":1320},[175,176],[120,2152,146],{"className":2153},[181],[120,2155,149],{"className":2156},[175,176],[120,2158,152],{"className":2159},[188],[120,2161,2162,2165],{"style":1148},[120,2163],{"className":2164,"style":1133},[743],[120,2166],{"className":2167,"style":1156},[1155],[120,2169,2170,2173],{"style":1983},[120,2171],{"className":2172,"style":1133},[743],[120,2174,2176],{"className":2175},[175],[120,2177,2179,2182],{"className":2178},[175],[120,2180,1628],{"className":2181,"style":1859},[175,176],[120,2183,2185],{"className":2184},[722],[120,2186,2188,2211],{"className":2187},[726,727],[120,2189,2191,2208],{"className":2190},[731],[120,2192,2194],{"className":2193,"style":736},[735],[120,2195,2196,2199],{"style":2010},[120,2197],{"className":2198,"style":744},[743],[120,2200,2202],{"className":2201},[748,749,750,751],[120,2203,2205],{"className":2204},[175,751],[120,2206,523],{"className":2207},[175,751],[120,2209,762],{"className":2210},[761],[120,2212,2214],{"className":2213},[731],[120,2215,2217],{"className":2216,"style":769},[735],[120,2218],{},[120,2220,762],{"className":2221},[761],[120,2223,2225],{"className":2224},[731],[120,2226,2228],{"className":2227,"style":2043},[735],[120,2229],{},[120,2231],{"className":2232},[188,1113],[120,2234,141],{"className":2235,"style":177},[175,176],[120,2237,146],{"className":2238},[181],[120,2240,149],{"className":2241},[175,176],[120,2243,152],{"className":2244},[188],[120,2246,2248,2251,2254],{"className":2247},[175],[120,2249,358],{"className":2250},[403],[120,2252],{"className":2253,"style":399},[398],[120,2255,2257,2260,2339],{"className":2256},[175],[120,2258],{"className":2259},[181,1113],[120,2261,2263],{"className":2262},[1043],[120,2264,2266,2331],{"className":2265},[726,727],[120,2267,2269,2328],{"className":2268},[731],[120,2270,2273,2293,2301],{"className":2271,"style":2272},[735],"height:1.427em;",[120,2274,2275,2278],{"style":1796},[120,2276],{"className":2277,"style":1133},[743],[120,2279,2281,2284,2287,2290],{"className":2280},[175],[120,2282,1283],{"className":2283,"style":1320},[175,176],[120,2285,146],{"className":2286},[181],[120,2288,149],{"className":2289},[175,176],[120,2291,152],{"className":2292},[188],[120,2294,2295,2298],{"style":1148},[120,2296],{"className":2297,"style":1133},[743],[120,2299],{"className":2300,"style":1156},[1155],[120,2302,2303,2306],{"style":1983},[120,2304],{"className":2305,"style":1133},[743],[120,2307,2309,2312,2315,2318,2321],{"className":2308},[175],[120,2310,141],{"className":2311,"style":177},[175,176],[120,2313,146],{"className":2314},[181],[120,2316,149],{"className":2317},[175,176],[120,2319,152],{"className":2320},[188],[120,2322,2324],{"className":2323},[175,419],[120,2325,423],{"className":2326},[175,2327],"nobreak",[120,2329,762],{"className":2330},[761],[120,2332,2334],{"className":2333},[731],[120,2335,2337],{"className":2336,"style":2043},[735],[120,2338],{},[120,2340],{"className":2341},[188,1113],[21,2343,2344,2345,2389,2390,2418,2419,2493],{},"其中，",[120,2346,2348,2368],{"className":2347},[123],[120,2349,2351],{"className":2350},[127],[129,2352,2353],{"xmlns":131},[133,2354,2355,2365],{},[136,2356,2357,2359,2361,2363],{},[139,2358,1628],{},[143,2360,146],{"stretchy":145},[139,2362,149],{},[143,2364,152],{"stretchy":145},[154,2366,2367],{"encoding":156},"N(t)",[120,2369,2371],{"className":2370,"ariaHidden":162},[161],[120,2372,2374,2377,2380,2383,2386],{"className":2373},[166],[120,2375],{"className":2376,"style":171},[170],[120,2378,1628],{"className":2379,"style":1859},[175,176],[120,2381,146],{"className":2382},[181],[120,2384,149],{"className":2385},[175,176],[120,2387,152],{"className":2388},[188]," 是时间 ",[120,2391,2393,2406],{"className":2392},[123],[120,2394,2396],{"className":2395},[127],[129,2397,2398],{"xmlns":131},[133,2399,2400,2404],{},[136,2401,2402],{},[139,2403,149],{},[154,2405,149],{"encoding":156},[120,2407,2409],{"className":2408,"ariaHidden":162},[161],[120,2410,2412,2415],{"className":2411},[166],[120,2413],{"className":2414,"style":231},[170],[120,2416,149],{"className":2417},[175,176]," 时的存活数量，",[120,2420,2422,2440],{"className":2421},[123],[120,2423,2425],{"className":2424},[127],[129,2426,2427],{"xmlns":131},[133,2428,2429,2437],{},[136,2430,2431],{},[629,2432,2433,2435],{},[139,2434,1628],{},[360,2436,523],{},[154,2438,2439],{"encoding":156},"N_{0}",[120,2441,2443],{"className":2442,"ariaHidden":162},[161],[120,2444,2446,2450],{"className":2445},[166],[120,2447],{"className":2448,"style":2449},[170],"height:0.8333em;vertical-align:-0.15em;",[120,2451,2453,2456],{"className":2452},[175],[120,2454,1628],{"className":2455,"style":1859},[175,176],[120,2457,2459],{"className":2458},[722],[120,2460,2462,2485],{"className":2461},[726,727],[120,2463,2465,2482],{"className":2464},[731],[120,2466,2468],{"className":2467,"style":736},[735],[120,2469,2470,2473],{"style":2010},[120,2471],{"className":2472,"style":744},[743],[120,2474,2476],{"className":2475},[748,749,750,751],[120,2477,2479],{"className":2478},[175,751],[120,2480,523],{"className":2481},[175,751],[120,2483,762],{"className":2484},[761],[120,2486,2488],{"className":2487},[731],[120,2489,2491],{"className":2490,"style":769},[735],[120,2492],{}," 是初始总体数量。",[31,2495,2496],{"id":2496},"条件可靠度",[21,2498,2499,2500,2556,2557,2585,2586,2614],{},"条件可靠度 ",[120,2501,2503,2529],{"className":2502},[123],[120,2504,2506],{"className":2505},[127],[129,2507,2508],{"xmlns":131},[133,2509,2510,2526],{},[136,2511,2512,2514,2516,2518,2521,2524],{},[139,2513,1283],{},[143,2515,146],{"stretchy":145},[139,2517,149],{},[139,2519,2520],{"mathvariant":672},"/",[139,2522,2523],{},"T",[143,2525,152],{"stretchy":145},[154,2527,2528],{"encoding":156},"R(t/T)",[120,2530,2532],{"className":2531,"ariaHidden":162},[161],[120,2533,2535,2538,2541,2544,2547,2550,2553],{"className":2534},[166],[120,2536],{"className":2537,"style":171},[170],[120,2539,1283],{"className":2540,"style":1320},[175,176],[120,2542,146],{"className":2543},[181],[120,2545,149],{"className":2546},[175,176],[120,2548,2520],{"className":2549},[175],[120,2551,2523],{"className":2552,"style":275},[175,176],[120,2554,152],{"className":2555},[188]," 是指：某单元已经累积运行至年龄 ",[120,2558,2560,2573],{"className":2559},[123],[120,2561,2563],{"className":2562},[127],[129,2564,2565],{"xmlns":131},[133,2566,2567,2571],{},[136,2568,2569],{},[139,2570,2523],{},[154,2572,2523],{"encoding":156},[120,2574,2576],{"className":2575,"ariaHidden":162},[161],[120,2577,2579,2582],{"className":2578},[166],[120,2580],{"className":2581,"style":1540},[170],[120,2583,2523],{"className":2584,"style":275},[175,176]," 的条件下，在随后任务时间 ",[120,2587,2589,2602],{"className":2588},[123],[120,2590,2592],{"className":2591},[127],[129,2593,2594],{"xmlns":131},[133,2595,2596,2600],{},[136,2597,2598],{},[139,2599,149],{},[154,2601,149],{"encoding":156},[120,2603,2605],{"className":2604,"ariaHidden":162},[161],[120,2606,2608,2611],{"className":2607},[166],[120,2609],{"className":2610,"style":231},[170],[120,2612,149],{"className":2613},[175,176]," 内继续存活的概率。",[62,2616],{"src":2617,"alt":2496,"width":1507},"/media/image9.png",[21,2619,2620],{},"要使某单元从 A 点存活至 C 点，它必须先从 A 点存活至 B 点，再从 B 点存活至 C 点。因此：",[120,2622,2624],{"className":2623},[1588],[120,2625,2627,2726],{"className":2626},[123],[120,2628,2630],{"className":2629},[127],[129,2631,2632],{"xmlns":131,"display":1597},[133,2633,2634,2723],{},[136,2635,2636,2678],{},[136,2637,2638,2640,2642,2644,2647,2649,2651,2653,2655,2667,2670,2672,2674,2676],{},[139,2639,1283],{},[143,2641,146],{"stretchy":145},[139,2643,2523],{},[143,2645,2646],{},"+",[139,2648,149],{},[143,2650,152],{"stretchy":145},[143,2652,358],{},[139,2654,1283],{},[136,2656,2657,2659,2665],{},[143,2658,146],{"fence":162},[1043,2660,2661,2663],{},[139,2662,149],{},[139,2664,2523],{},[143,2666,152],{"fence":162},[143,2668,2669],{},"×",[139,2671,1283],{},[143,2673,146],{"stretchy":145},[139,2675,2523],{},[143,2677,152],{"stretchy":145},[136,2679,2680,2683,2685,2687,2693,2695,2697],{},[143,2681,2682],{},"⇒",[139,2684,1283],{},[143,2686,146],{"stretchy":145},[1043,2688,2689,2691],{},[139,2690,149],{},[139,2692,2523],{},[143,2694,152],{"stretchy":145},[143,2696,358],{},[1043,2698,2699,2713],{},[136,2700,2701,2703,2705,2707,2709,2711],{},[139,2702,1283],{},[143,2704,146],{"stretchy":145},[139,2706,2523],{},[143,2708,2646],{},[139,2710,149],{},[143,2712,152],{"stretchy":145},[136,2714,2715,2717,2719,2721],{},[139,2716,1283],{},[143,2718,146],{"stretchy":145},[139,2720,2523],{},[143,2722,152],{"stretchy":145},[154,2724,2725],{"encoding":156},"{R(T + t) = R\\left( \\frac{t}{T} \\right) \\times R(T)\n}{\\Rightarrow R(\\frac{t}{T}) = \\frac{R(T + t)}{R(T)}}",[120,2727,2729],{"className":2728,"ariaHidden":162},[161],[120,2730,2732,2736,2881],{"className":2731},[166],[120,2733],{"className":2734,"style":2735},[170],"height:2.4em;vertical-align:-0.95em;",[120,2737,2739,2742,2745,2748,2751,2754,2757,2760,2763,2766,2769,2772,2775,2778,2860,2863,2866,2869,2872,2875,2878],{"className":2738},[175],[120,2740,1283],{"className":2741,"style":1320},[175,176],[120,2743,146],{"className":2744},[181],[120,2746,2523],{"className":2747,"style":275},[175,176],[120,2749],{"className":2750,"style":1352},[398],[120,2752,2646],{"className":2753},[1356],[120,2755],{"className":2756,"style":1352},[398],[120,2758,149],{"className":2759},[175,176],[120,2761,152],{"className":2762},[188],[120,2764],{"className":2765,"style":399},[398],[120,2767,358],{"className":2768},[403],[120,2770],{"className":2771,"style":399},[398],[120,2773,1283],{"className":2774,"style":1320},[175,176],[120,2776],{"className":2777,"style":993},[398],[120,2779,2782,2791,2854],{"className":2780},[2781],"minner",[120,2783,2787],{"className":2784,"style":2786},[181,2785],"delimcenter","top:0em;",[120,2788,146],{"className":2789},[2790,750],"delimsizing",[120,2792,2794,2797,2851],{"className":2793},[175],[120,2795],{"className":2796},[181,1113],[120,2798,2800],{"className":2799},[1043],[120,2801,2803,2843],{"className":2802},[726,727],[120,2804,2806,2840],{"className":2805},[731],[120,2807,2810,2821,2829],{"className":2808,"style":2809},[735],"height:1.2921em;",[120,2811,2812,2815],{"style":1796},[120,2813],{"className":2814,"style":1133},[743],[120,2816,2818],{"className":2817},[175],[120,2819,2523],{"className":2820,"style":275},[175,176],[120,2822,2823,2826],{"style":1148},[120,2824],{"className":2825,"style":1133},[743],[120,2827],{"className":2828,"style":1156},[1155],[120,2830,2831,2834],{"style":1983},[120,2832],{"className":2833,"style":1133},[743],[120,2835,2837],{"className":2836},[175],[120,2838,149],{"className":2839},[175,176],[120,2841,762],{"className":2842},[761],[120,2844,2846],{"className":2845},[731],[120,2847,2849],{"className":2848,"style":1919},[735],[120,2850],{},[120,2852],{"className":2853},[188,1113],[120,2855,2857],{"className":2856,"style":2786},[188,2785],[120,2858,152],{"className":2859},[2790,750],[120,2861],{"className":2862,"style":1352},[398],[120,2864,2669],{"className":2865},[1356],[120,2867],{"className":2868,"style":1352},[398],[120,2870,1283],{"className":2871,"style":1320},[175,176],[120,2873,146],{"className":2874},[181],[120,2876,2523],{"className":2877,"style":275},[175,176],[120,2879,152],{"className":2880},[188],[120,2882,2884,2887,2890,2893,2896,2958,2961,2964,2967,2970],{"className":2883},[175],[120,2885,2682],{"className":2886},[403],[120,2888],{"className":2889,"style":399},[398],[120,2891,1283],{"className":2892,"style":1320},[175,176],[120,2894,146],{"className":2895},[181],[120,2897,2899,2902,2955],{"className":2898},[175],[120,2900],{"className":2901},[181,1113],[120,2903,2905],{"className":2904},[1043],[120,2906,2908,2947],{"className":2907},[726,727],[120,2909,2911,2944],{"className":2910},[731],[120,2912,2914,2925,2933],{"className":2913,"style":2809},[735],[120,2915,2916,2919],{"style":1796},[120,2917],{"className":2918,"style":1133},[743],[120,2920,2922],{"className":2921},[175],[120,2923,2523],{"className":2924,"style":275},[175,176],[120,2926,2927,2930],{"style":1148},[120,2928],{"className":2929,"style":1133},[743],[120,2931],{"className":2932,"style":1156},[1155],[120,2934,2935,2938],{"style":1983},[120,2936],{"className":2937,"style":1133},[743],[120,2939,2941],{"className":2940},[175],[120,2942,149],{"className":2943},[175,176],[120,2945,762],{"className":2946},[761],[120,2948,2950],{"className":2949},[731],[120,2951,2953],{"className":2952,"style":1919},[735],[120,2954],{},[120,2956],{"className":2957},[188,1113],[120,2959,152],{"className":2960},[188],[120,2962],{"className":2963,"style":399},[398],[120,2965,358],{"className":2966},[403],[120,2968],{"className":2969,"style":399},[398],[120,2971,2973,2976,3059],{"className":2972},[175],[120,2974],{"className":2975},[181,1113],[120,2977,2979],{"className":2978},[1043],[120,2980,2982,3051],{"className":2981},[726,727],[120,2983,2985,3048],{"className":2984},[731],[120,2986,2988,3008,3016],{"className":2987,"style":2272},[735],[120,2989,2990,2993],{"style":1796},[120,2991],{"className":2992,"style":1133},[743],[120,2994,2996,2999,3002,3005],{"className":2995},[175],[120,2997,1283],{"className":2998,"style":1320},[175,176],[120,3000,146],{"className":3001},[181],[120,3003,2523],{"className":3004,"style":275},[175,176],[120,3006,152],{"className":3007},[188],[120,3009,3010,3013],{"style":1148},[120,3011],{"className":3012,"style":1133},[743],[120,3014],{"className":3015,"style":1156},[1155],[120,3017,3018,3021],{"style":1983},[120,3019],{"className":3020,"style":1133},[743],[120,3022,3024,3027,3030,3033,3036,3039,3042,3045],{"className":3023},[175],[120,3025,1283],{"className":3026,"style":1320},[175,176],[120,3028,146],{"className":3029},[181],[120,3031,2523],{"className":3032,"style":275},[175,176],[120,3034],{"className":3035,"style":1352},[398],[120,3037,2646],{"className":3038},[1356],[120,3040],{"className":3041,"style":1352},[398],[120,3043,149],{"className":3044},[175,176],[120,3046,152],{"className":3047},[188],[120,3049,762],{"className":3050},[761],[120,3052,3054],{"className":3053},[731],[120,3055,3057],{"className":3056,"style":2043},[735],[120,3058],{},[120,3060],{"className":3061},[188,1113],[31,3063,3064],{"id":3064},"均值与中位数",[21,3066,3067,3068,3136],{},"平均失效时间（MTTF）",[120,3069,3071,3091],{"className":3070},[123],[120,3072,3074],{"className":3073},[127],[129,3075,3076],{"xmlns":131},[133,3077,3078,3088],{},[136,3079,3080],{},[3081,3082,3083,3085],"mover",{"accent":162},[139,3084,2523],{},[143,3086,3087],{"stretchy":162},"‾",[154,3089,3090],{"encoding":156},"\\overline{T}",[120,3092,3094],{"className":3093,"ariaHidden":162},[161],[120,3095,3097,3101],{"className":3096},[166],[120,3098],{"className":3099,"style":3100},[170],"height:0.8833em;",[120,3102,3105],{"className":3103},[175,3104],"overline",[120,3106,3108],{"className":3107},[726],[120,3109,3111],{"className":3110},[731],[120,3112,3114,3126],{"className":3113,"style":3100},[735],[120,3115,3117,3120],{"style":3116},"top:-3em;",[120,3118],{"className":3119,"style":1133},[743],[120,3121,3123],{"className":3122},[175],[120,3124,2523],{"className":3125,"style":275},[175,176],[120,3127,3129,3132],{"style":3128},"top:-3.8033em;",[120,3130],{"className":3131,"style":1133},[743],[120,3133],{"className":3134,"style":1156},[3135],"overline-line"," 定义为：",[21,3138,3139],{},[120,3140,3142,3186],{"className":3141},[123],[120,3143,3145],{"className":3144},[127],[129,3146,3147],{"xmlns":131},[133,3148,3149,3183],{},[136,3150,3151,3157,3159,3167,3169,3171,3173,3175,3177,3179,3181],{},[3081,3152,3153,3155],{"accent":162},[139,3154,2523],{},[143,3156,3087],{"stretchy":162},[143,3158,358],{},[660,3160,3161,3163,3165],{},[143,3162,664],{},[360,3164,523],{},[139,3166,673],{"mathvariant":672},[139,3168,149],{},[143,3170,1693],{},[139,3172,141],{},[143,3174,146],{"stretchy":145},[139,3176,149],{},[143,3178,152],{"stretchy":145},[139,3180,692],{},[139,3182,149],{},[154,3184,3185],{"encoding":156},"\\overline{T} = \\int_{0}^{\\infty}t \\bullet f(t)dt",[120,3187,3189,3235,3316],{"className":3188,"ariaHidden":162},[161],[120,3190,3192,3195,3226,3229,3232],{"className":3191},[166],[120,3193],{"className":3194,"style":3100},[170],[120,3196,3198],{"className":3197},[175,3104],[120,3199,3201],{"className":3200},[726],[120,3202,3204],{"className":3203},[731],[120,3205,3207,3218],{"className":3206,"style":3100},[735],[120,3208,3209,3212],{"style":3116},[120,3210],{"className":3211,"style":1133},[743],[120,3213,3215],{"className":3214},[175],[120,3216,2523],{"className":3217,"style":275},[175,176],[120,3219,3220,3223],{"style":3128},[120,3221],{"className":3222,"style":1133},[743],[120,3224],{"className":3225,"style":1156},[3135],[120,3227],{"className":3228,"style":399},[398],[120,3230,358],{"className":3231},[403],[120,3233],{"className":3234,"style":399},[398],[120,3236,3238,3242,3301,3304,3307,3310,3313],{"className":3237},[166],[120,3239],{"className":3240,"style":3241},[170],"height:1.2151em;vertical-align:-0.3558em;",[120,3243,3245,3248],{"className":3244},[879],[120,3246,664],{"className":3247,"style":885},[879,883,884],[120,3249,3251],{"className":3250},[722],[120,3252,3254,3292],{"className":3253},[726,727],[120,3255,3257,3289],{"className":3256},[731],[120,3258,3261,3275],{"className":3259,"style":3260},[735],"height:0.8593em;",[120,3262,3263,3266],{"style":901},[120,3264],{"className":3265,"style":744},[743],[120,3267,3269],{"className":3268},[748,749,750,751],[120,3270,3272],{"className":3271},[175,751],[120,3273,523],{"className":3274},[175,751],[120,3276,3277,3280],{"style":919},[120,3278],{"className":3279,"style":744},[743],[120,3281,3283],{"className":3282},[748,749,750,751],[120,3284,3286],{"className":3285},[175,751],[120,3287,673],{"className":3288},[175,751],[120,3290,762],{"className":3291},[761],[120,3293,3295],{"className":3294},[731],[120,3296,3299],{"className":3297,"style":3298},[735],"height:0.3558em;",[120,3300],{},[120,3302],{"className":3303,"style":993},[398],[120,3305,149],{"className":3306},[175,176],[120,3308],{"className":3309,"style":1352},[398],[120,3311,1693],{"className":3312},[1356],[120,3314],{"className":3315,"style":1352},[398],[120,3317,3319,3322,3325,3328,3331,3334,3337],{"className":3318},[166],[120,3320],{"className":3321,"style":171},[170],[120,3323,141],{"className":3324,"style":177},[175,176],[120,3326,146],{"className":3327},[181],[120,3329,149],{"className":3330},[175,176],[120,3332,152],{"className":3333},[188],[120,3335,692],{"className":3336},[175,176],[120,3338,149],{"className":3339},[175,176],[21,3341,3342,3343,3410],{},"中位寿命 ",[120,3344,3346,3365],{"className":3345},[123],[120,3347,3349],{"className":3348},[127],[129,3350,3351],{"xmlns":131},[133,3352,3353,3362],{},[136,3354,3355],{},[3081,3356,3357,3359],{"accent":162},[139,3358,2523],{},[143,3360,3361],{},"˘",[154,3363,3364],{"encoding":156},"\\breve{T}",[120,3366,3368],{"className":3367,"ariaHidden":162},[161],[120,3369,3371,3375],{"className":3370},[166],[120,3372],{"className":3373,"style":3374},[170],"height:0.9468em;",[120,3376,3379],{"className":3377},[175,3378],"accent",[120,3380,3382],{"className":3381},[726],[120,3383,3385],{"className":3384},[731],[120,3386,3388,3396],{"className":3387,"style":3374},[735],[120,3389,3390,3393],{"style":3116},[120,3391],{"className":3392,"style":1133},[743],[120,3394,2523],{"className":3395,"style":275},[175,176],[120,3397,3399,3402],{"style":3398},"top:-3.2523em;",[120,3400],{"className":3401,"style":1133},[743],[120,3403,3407],{"className":3404,"style":3406},[3405],"accent-body","left:-0.1667em;",[120,3408,3361],{"className":3409},[175]," 是总体中 50% 已经失效时所对应的时间：",[21,3412,3413],{},[120,3414,3416,3447],{"className":3415},[123],[120,3417,3419],{"className":3418},[127],[129,3420,3421],{"xmlns":131},[133,3422,3423,3444],{},[136,3424,3425,3427,3439,3441],{},[139,3426,300],{},[136,3428,3429,3431,3437],{},[143,3430,146],{"fence":162},[3081,3432,3433,3435],{"accent":162},[139,3434,2523],{},[143,3436,3361],{},[143,3438,152],{"fence":162},[143,3440,358],{},[360,3442,3443],{},"0.5",[154,3445,3446],{"encoding":156},"Q\\left( \\breve{T} \\right) = 0.5",[120,3448,3450,3519],{"className":3449,"ariaHidden":162},[161],[120,3451,3453,3457,3460,3463,3510,3513,3516],{"className":3452},[166],[120,3454],{"className":3455,"style":3456},[170],"height:1.8em;vertical-align:-0.65em;",[120,3458,300],{"className":3459},[175,176],[120,3461],{"className":3462,"style":993},[398],[120,3464,3466,3473,3504],{"className":3465},[2781],[120,3467,3469],{"className":3468,"style":2786},[181,2785],[120,3470,146],{"className":3471},[2790,3472],"size2",[120,3474,3476],{"className":3475},[175,3378],[120,3477,3479],{"className":3478},[726],[120,3480,3482],{"className":3481},[731],[120,3483,3485,3493],{"className":3484,"style":3374},[735],[120,3486,3487,3490],{"style":3116},[120,3488],{"className":3489,"style":1133},[743],[120,3491,2523],{"className":3492,"style":275},[175,176],[120,3494,3495,3498],{"style":3398},[120,3496],{"className":3497,"style":1133},[743],[120,3499,3501],{"className":3500,"style":3406},[3405],[120,3502,3361],{"className":3503},[175],[120,3505,3507],{"className":3506,"style":2786},[188,2785],[120,3508,152],{"className":3509},[2790,3472],[120,3511],{"className":3512,"style":399},[398],[120,3514,358],{"className":3515},[403],[120,3517],{"className":3518,"style":399},[398],[120,3520,3522,3525],{"className":3521},[166],[120,3523],{"className":3524,"style":447},[170],[120,3526,3443],{"className":3527},[175],[62,3529],{"src":3530,"alt":3531,"width":3532},"/media/image10.png","各种分布的均值与中位数",700,[21,3534,3531],{},[31,3536,3537],{"id":3537},"可靠性数据分类",[21,3539,3540],{},"寿命数据分析使用以下主要数据类型：",[100,3542,3543,3549,3555,3561],{},[103,3544,3545,3548],{},[37,3546,3547],{},"完整（失效）数据","：每个样品均观察至失效，准确失效时间已知。这是最直接的数据类型。",[103,3550,3551,3554],{},[37,3552,3553],{},"右删失数据（暂停数据）","：样品在观察期内没有失效，只知道它至少存活至某个时间。实际试验和现场数据中经常出现这种情况。",[103,3556,3557,3560],{},[37,3558,3559],{},"区间删失数据","：准确失效时间未知，但已知失效发生在某个时间区间内，例如定期检查时发现样品在两次检查之间失效。",[103,3562,3563,3566],{},[37,3564,3565],{},"左删失数据","：已知失效发生在某个时间之前，但没有观察到准确失效时间。",[62,3568],{"src":3569,"alt":3570,"width":1507},"/media/image11.png","寿命数据分析使用的数据类型",[21,3572,3570],{},[21,3574,3575],{},"这些数据类型可以共同用于估计寿命分布和可靠性指标。",[17,3577,3578],{"id":3578},"分布模型",[21,3580,3581],{},"分布模型用于从统计角度描述部件、系统或产品的失效时间。它帮助工程师了解潜在失效行为，例如失效是随机发生、随年龄增加，还是遵循某种退化模式。将合适的分布拟合至观测失效数据后，可以估计失效率、随时间变化的可靠度和平均失效时间等关键指标，从而支持设计、维修、保修预测和风险管理方面的决策。",[31,3583,3585],{"id":3584},"指数分布λ","指数分布（λ）",[21,3587,3588],{},"指数分布通常用于描述随机且无记忆事件之间的时间，特别适用于失效率随时间保持恒定的情况。它结构简单，但在可靠性和生存分析中十分重要，并常被用作基准模型。",[3590,3591,57],"h5",{"id":3592},"概率密度函数pdf-1",[21,3594,3595],{},"指数分布的 PDF 为：",[21,3597,3598],{},[120,3599,3601,3641],{"className":3600},[123],[120,3602,3604],{"className":3603},[127],[129,3605,3606],{"xmlns":131},[133,3607,3608,3638],{},[136,3609,3610,3612,3614,3616,3618,3620],{},[139,3611,141],{},[143,3613,146],{"stretchy":145},[139,3615,149],{},[143,3617,152],{"stretchy":145},[143,3619,358],{},[3621,3622,3623,3630],"msup",{},[136,3624,3625,3627],{},[139,3626,1442],{},[139,3628,3629],{},"e",[136,3631,3632,3634,3636],{},[143,3633,669],{},[139,3635,1442],{},[139,3637,149],{},[154,3639,3640],{"encoding":156},"f(t) = {\\lambda e}^{- \\lambda t}",[120,3642,3644,3671],{"className":3643,"ariaHidden":162},[161],[120,3645,3647,3650,3653,3656,3659,3662,3665,3668],{"className":3646},[166],[120,3648],{"className":3649,"style":171},[170],[120,3651,141],{"className":3652,"style":177},[175,176],[120,3654,146],{"className":3655},[181],[120,3657,149],{"className":3658},[175,176],[120,3660,152],{"className":3661},[188],[120,3663],{"className":3664,"style":399},[398],[120,3666,358],{"className":3667},[403],[120,3669],{"className":3670,"style":399},[398],[120,3672,3674,3678],{"className":3673},[166],[120,3675],{"className":3676,"style":3677},[170],"height:0.9334em;",[120,3679,3681,3690],{"className":3680},[175],[120,3682,3684,3687],{"className":3683},[175],[120,3685,1442],{"className":3686},[175,176],[120,3688,3629],{"className":3689},[175,176],[120,3691,3693],{"className":3692},[722],[120,3694,3696],{"className":3695},[726],[120,3697,3699],{"className":3698},[731],[120,3700,3702],{"className":3701,"style":3677},[735],[120,3703,3705,3708],{"style":3704},"top:-3.1473em;margin-right:0.05em;",[120,3706],{"className":3707,"style":744},[743],[120,3709,3711],{"className":3710},[748,749,750,751],[120,3712,3714,3717,3720],{"className":3713},[175,751],[120,3715,669],{"className":3716},[175,751],[120,3718,1442],{"className":3719},[175,176,751],[120,3721,149],{"className":3722},[175,176,751],[62,3724],{"src":3725,"alt":3726,"width":77},"/media/image12.png","参数 lambda 对指数分布 PDF 的影响",[21,3728,3729,3759],{},[120,3730,3732,3746],{"className":3731},[123],[120,3733,3735],{"className":3734},[127],[129,3736,3737],{"xmlns":131},[133,3738,3739,3743],{},[136,3740,3741],{},[139,3742,1442],{},[154,3744,3745],{"encoding":156},"\\lambda",[120,3747,3749],{"className":3748,"ariaHidden":162},[161],[120,3750,3752,3756],{"className":3751},[166],[120,3753],{"className":3754,"style":3755},[170],"height:0.6944em;",[120,3757,1442],{"className":3758},[175,176]," 对指数分布 PDF 的影响",[21,3761,3762,3763,3791],{},"当 ",[120,3764,3766,3779],{"className":3765},[123],[120,3767,3769],{"className":3768},[127],[129,3770,3771],{"xmlns":131},[133,3772,3773,3777],{},[136,3774,3775],{},[139,3776,1442],{},[154,3778,3745],{"encoding":156},[120,3780,3782],{"className":3781,"ariaHidden":162},[161],[120,3783,3785,3788],{"className":3784},[166],[120,3786],{"className":3787,"style":3755},[170],[120,3789,1442],{"className":3790},[175,176]," 减小时，指数分布向右伸展。为保持 PDF 曲线下总面积恒等于 1，曲线高度会相应降低。",[3590,3793,202],{"id":3794},"累积分布函数cdf-1",[120,3796,3798],{"className":3797},[1588],[120,3799,3801,3902],{"className":3800},[123],[120,3802,3804],{"className":3803},[127],[129,3805,3806],{"xmlns":131,"display":1597},[133,3807,3808,3899],{},[136,3809,3810,3845,3879],{},[136,3811,3812,3814,3816,3818,3820,3822,3830],{},[139,3813,300],{},[143,3815,146],{"stretchy":145},[139,3817,149],{},[143,3819,152],{"stretchy":145},[143,3821,358],{},[660,3823,3824,3826,3828],{},[143,3825,664],{},[360,3827,523],{},[139,3829,149],{},[136,3831,3832,3834,3836,3839,3841,3843],{},[139,3833,141],{},[143,3835,146],{"stretchy":145},[139,3837,3838],{},"s",[143,3840,152],{"stretchy":145},[139,3842,692],{},[139,3844,3838],{},[136,3846,3847,3849],{},[143,3848,358],{},[660,3850,3851,3875,3877],{},[136,3852,3853,3856,3872],{},[143,3854,3855],{"fence":162},"[",[3621,3857,3858,3864],{},[136,3859,3860,3862],{},[143,3861,669],{},[139,3863,3629],{},[136,3865,3866,3868,3870],{},[143,3867,669],{},[139,3869,1442],{},[139,3871,3838],{},[143,3873,3874],{"fence":162},"]",[360,3876,523],{},[139,3878,149],{},[136,3880,3881,3883,3885,3887],{},[143,3882,358],{},[360,3884,1294],{},[143,3886,669],{},[3621,3888,3889,3891],{},[139,3890,3629],{},[136,3892,3893,3895,3897],{},[143,3894,669],{},[139,3896,1442],{},[139,3898,149],{},[154,3900,3901],{"encoding":156},"{Q(t) = \\int_{0}^{t}{f(s)ds}\n}{= \\left\\lbrack {- e}^{- \\lambda s} \\right\\rbrack_{0}^{t}\n}{= 1 - e^{- \\lambda t}}",[120,3903,3905],{"className":3904,"ariaHidden":162},[161],[120,3906,3908,3912,4023,4151],{"className":3907},[166],[120,3909],{"className":3910,"style":3911},[170],"height:2.4554em;vertical-align:-0.9119em;",[120,3913,3915,3918,3921,3924,3927,3930,3933,3936,3999,4002],{"className":3914},[175],[120,3916,300],{"className":3917},[175,176],[120,3919,146],{"className":3920},[181],[120,3922,149],{"className":3923},[175,176],[120,3925,152],{"className":3926},[188],[120,3928],{"className":3929,"style":399},[398],[120,3931,358],{"className":3932},[403],[120,3934],{"className":3935,"style":399},[398],[120,3937,3939,3944],{"className":3938},[879],[120,3940,664],{"className":3941,"style":3943},[879,883,3942],"large-op","margin-right:0.44445em;position:relative;top:-0.0011em;",[120,3945,3947],{"className":3946},[722],[120,3948,3950,3990],{"className":3949},[726,727],[120,3951,3953,3987],{"className":3952},[731],[120,3954,3957,3972],{"className":3955,"style":3956},[735],"height:1.5435em;",[120,3958,3960,3963],{"style":3959},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[120,3961],{"className":3962,"style":744},[743],[120,3964,3966],{"className":3965},[748,749,750,751],[120,3967,3969],{"className":3968},[175,751],[120,3970,523],{"className":3971},[175,751],[120,3973,3975,3978],{"style":3974},"top:-3.8129em;margin-right:0.05em;",[120,3976],{"className":3977,"style":744},[743],[120,3979,3981],{"className":3980},[748,749,750,751],[120,3982,3984],{"className":3983},[175,751],[120,3985,149],{"className":3986},[175,176,751],[120,3988,762],{"className":3989},[761],[120,3991,3993],{"className":3992},[731],[120,3994,3997],{"className":3995,"style":3996},[735],"height:0.9119em;",[120,3998],{},[120,4000],{"className":4001,"style":993},[398],[120,4003,4005,4008,4011,4014,4017,4020],{"className":4004},[175],[120,4006,141],{"className":4007,"style":177},[175,176],[120,4009,146],{"className":4010},[181],[120,4012,3838],{"className":4013},[175,176],[120,4015,152],{"className":4016},[188],[120,4018,692],{"className":4019},[175,176],[120,4021,3838],{"className":4022},[175,176],[120,4024,4026,4029,4032],{"className":4025},[175],[120,4027,358],{"className":4028},[403],[120,4030],{"className":4031,"style":399},[398],[120,4033,4035,4096],{"className":4034},[2781],[120,4036,4038,4044,4090],{"className":4037},[2781],[120,4039,4041],{"className":4040,"style":2786},[181,2785],[120,4042,3855],{"className":4043},[2790,959],[120,4045,4047,4056],{"className":4046},[175],[120,4048,4050,4053],{"className":4049},[175],[120,4051,669],{"className":4052},[175],[120,4054,3629],{"className":4055},[175,176],[120,4057,4059],{"className":4058},[722],[120,4060,4062],{"className":4061},[726],[120,4063,4065],{"className":4064},[731],[120,4066,4069],{"className":4067,"style":4068},[735],"height:0.8991em;",[120,4070,4072,4075],{"style":4071},"top:-3.113em;margin-right:0.05em;",[120,4073],{"className":4074,"style":744},[743],[120,4076,4078],{"className":4077},[748,749,750,751],[120,4079,4081,4084,4087],{"className":4080},[175,751],[120,4082,669],{"className":4083},[175,751],[120,4085,1442],{"className":4086},[175,176,751],[120,4088,3838],{"className":4089},[175,176,751],[120,4091,4093],{"className":4092,"style":2786},[188,2785],[120,4094,3874],{"className":4095},[2790,959],[120,4097,4099],{"className":4098},[722],[120,4100,4102,4142],{"className":4101},[726,727],[120,4103,4105,4139],{"className":4104},[731],[120,4106,4109,4124],{"className":4107,"style":4108},[735],"height:1.0826em;",[120,4110,4112,4115],{"style":4111},"top:-2.3003em;margin-right:0.05em;",[120,4113],{"className":4114,"style":744},[743],[120,4116,4118],{"className":4117},[748,749,750,751],[120,4119,4121],{"className":4120},[175,751],[120,4122,523],{"className":4123},[175,751],[120,4125,4127,4130],{"style":4126},"top:-3.352em;margin-right:0.05em;",[120,4128],{"className":4129,"style":744},[743],[120,4131,4133],{"className":4132},[748,749,750,751],[120,4134,4136],{"className":4135},[175,751],[120,4137,149],{"className":4138},[175,176,751],[120,4140,762],{"className":4141},[761],[120,4143,4145],{"className":4144},[731],[120,4146,4149],{"className":4147,"style":4148},[735],"height:0.3997em;",[120,4150],{},[120,4152,4154,4157,4160,4163,4166,4169,4172],{"className":4153},[175],[120,4155,358],{"className":4156},[403],[120,4158],{"className":4159,"style":399},[398],[120,4161,1294],{"className":4162},[175],[120,4164],{"className":4165,"style":1352},[398],[120,4167,669],{"className":4168},[1356],[120,4170],{"className":4171,"style":1352},[398],[120,4173,4175,4178],{"className":4174},[175],[120,4176,3629],{"className":4177},[175,176],[120,4179,4181],{"className":4180},[722],[120,4182,4184],{"className":4183},[726],[120,4185,4187],{"className":4186},[731],[120,4188,4190],{"className":4189,"style":4068},[735],[120,4191,4192,4195],{"style":4071},[120,4193],{"className":4194,"style":744},[743],[120,4196,4198],{"className":4197},[748,749,750,751],[120,4199,4201,4204,4207],{"className":4200},[175,751],[120,4202,669],{"className":4203},[175,751],[120,4205,1442],{"className":4206},[175,176,751],[120,4208,149],{"className":4209},[175,176,751],[62,4211],{"src":4212,"alt":4213,"width":77},"/media/image13.png","参数 lambda 对指数分布 CDF 的影响",[21,4215,4216,4244],{},[120,4217,4219,4232],{"className":4218},[123],[120,4220,4222],{"className":4221},[127],[129,4223,4224],{"xmlns":131},[133,4225,4226,4230],{},[136,4227,4228],{},[139,4229,1442],{},[154,4231,3745],{"encoding":156},[120,4233,4235],{"className":4234,"ariaHidden":162},[161],[120,4236,4238,4241],{"className":4237},[166],[120,4239],{"className":4240,"style":3755},[170],[120,4242,1442],{"className":4243},[175,176]," 对指数分布 CDF 的影响",[21,4246,3762,4247,4275],{},[120,4248,4250,4263],{"className":4249},[123],[120,4251,4253],{"className":4252},[127],[129,4254,4255],{"xmlns":131},[133,4256,4257,4261],{},[136,4258,4259],{},[139,4260,1442],{},[154,4262,3745],{"encoding":156},[120,4264,4266],{"className":4265,"ariaHidden":162},[161],[120,4267,4269,4272],{"className":4268},[166],[120,4270],{"className":4271,"style":3755},[170],[120,4273,1442],{"className":4274},[175,176]," 减小时，指数分布向右伸展。",[3590,4277,4278],{"id":4278},"失效率函数",[120,4280,4282],{"className":4281},[1588],[120,4283,4285,4371],{"className":4284},[123],[120,4286,4288],{"className":4287},[127],[129,4289,4290],{"xmlns":131,"display":1597},[133,4291,4292,4368],{},[136,4293,4294,4328,4362],{},[136,4295,4296,4298,4300,4302,4304,4306],{},[139,4297,1442],{},[143,4299,146],{"stretchy":145},[139,4301,149],{},[143,4303,152],{"stretchy":145},[143,4305,358],{},[1043,4307,4308,4318],{},[136,4309,4310,4312,4314,4316],{},[139,4311,141],{},[143,4313,146],{"stretchy":145},[139,4315,149],{},[143,4317,152],{"stretchy":145},[136,4319,4320,4322,4324,4326],{},[139,4321,1283],{},[143,4323,146],{"stretchy":145},[139,4325,149],{},[143,4327,152],{"stretchy":145},[136,4329,4330,4332],{},[143,4331,358],{},[1043,4333,4334,4350],{},[3621,4335,4336,4342],{},[136,4337,4338,4340],{},[139,4339,1442],{},[139,4341,3629],{},[136,4343,4344,4346,4348],{},[143,4345,669],{},[139,4347,1442],{},[139,4349,149],{},[3621,4351,4352,4354],{},[139,4353,3629],{},[136,4355,4356,4358,4360],{},[143,4357,669],{},[139,4359,1442],{},[139,4361,149],{},[136,4363,4364,4366],{},[143,4365,358],{},[139,4367,1442],{},[154,4369,4370],{"encoding":156},"{\\lambda(t) = \\frac{f(t)}{R(t)}\n}{= \\frac{{\\lambda e}^{- \\lambda t}}{e^{- \\lambda t}}\n}{= \\lambda}",[120,4372,4374],{"className":4373,"ariaHidden":162},[161],[120,4375,4377,4381,4485,4635],{"className":4376},[166],[120,4378],{"className":4379,"style":4380},[170],"height:2.5464em;vertical-align:-0.936em;",[120,4382,4384,4387,4390,4393,4396,4399,4402,4405],{"className":4383},[175],[120,4385,1442],{"className":4386},[175,176],[120,4388,146],{"className":4389},[181],[120,4391,149],{"className":4392},[175,176],[120,4394,152],{"className":4395},[188],[120,4397],{"className":4398,"style":399},[398],[120,4400,358],{"className":4401},[403],[120,4403],{"className":4404,"style":399},[398],[120,4406,4408,4411,4482],{"className":4407},[175],[120,4409],{"className":4410},[181,1113],[120,4412,4414],{"className":4413},[1043],[120,4415,4417,4474],{"className":4416},[726,727],[120,4418,4420,4471],{"className":4419},[731],[120,4421,4423,4443,4451],{"className":4422,"style":2272},[735],[120,4424,4425,4428],{"style":1796},[120,4426],{"className":4427,"style":1133},[743],[120,4429,4431,4434,4437,4440],{"className":4430},[175],[120,4432,1283],{"className":4433,"style":1320},[175,176],[120,4435,146],{"className":4436},[181],[120,4438,149],{"className":4439},[175,176],[120,4441,152],{"className":4442},[188],[120,4444,4445,4448],{"style":1148},[120,4446],{"className":4447,"style":1133},[743],[120,4449],{"className":4450,"style":1156},[1155],[120,4452,4453,4456],{"style":1983},[120,4454],{"className":4455,"style":1133},[743],[120,4457,4459,4462,4465,4468],{"className":4458},[175],[120,4460,141],{"className":4461,"style":177},[175,176],[120,4463,146],{"className":4464},[181],[120,4466,149],{"className":4467},[175,176],[120,4469,152],{"className":4470},[188],[120,4472,762],{"className":4473},[761],[120,4475,4477],{"className":4476},[731],[120,4478,4480],{"className":4479,"style":2043},[735],[120,4481],{},[120,4483],{"className":4484},[188,1113],[120,4486,4488,4491,4494],{"className":4487},[175],[120,4489,358],{"className":4490},[403],[120,4492],{"className":4493,"style":399},[398],[120,4495,4497,4500,4632],{"className":4496},[175],[120,4498],{"className":4499},[181,1113],[120,4501,4503],{"className":4502},[1043],[120,4504,4506,4624],{"className":4505},[726,727],[120,4507,4509,4621],{"className":4508},[731],[120,4510,4513,4561,4569],{"className":4511,"style":4512},[735],"height:1.6104em;",[120,4514,4515,4518],{"style":1796},[120,4516],{"className":4517,"style":1133},[743],[120,4519,4521],{"className":4520},[175],[120,4522,4524,4527],{"className":4523},[175],[120,4525,3629],{"className":4526},[175,176],[120,4528,4530],{"className":4529},[722],[120,4531,4533],{"className":4532},[726],[120,4534,4536],{"className":4535},[731],[120,4537,4540],{"className":4538,"style":4539},[735],"height:0.7751em;",[120,4541,4543,4546],{"style":4542},"top:-2.989em;margin-right:0.05em;",[120,4544],{"className":4545,"style":744},[743],[120,4547,4549],{"className":4548},[748,749,750,751],[120,4550,4552,4555,4558],{"className":4551},[175,751],[120,4553,669],{"className":4554},[175,751],[120,4556,1442],{"className":4557},[175,176,751],[120,4559,149],{"className":4560},[175,176,751],[120,4562,4563,4566],{"style":1148},[120,4564],{"className":4565,"style":1133},[743],[120,4567],{"className":4568,"style":1156},[1155],[120,4570,4571,4574],{"style":1983},[120,4572],{"className":4573,"style":1133},[743],[120,4575,4577],{"className":4576},[175],[120,4578,4580,4589],{"className":4579},[175],[120,4581,4583,4586],{"className":4582},[175],[120,4584,1442],{"className":4585},[175,176],[120,4587,3629],{"className":4588},[175,176],[120,4590,4592],{"className":4591},[722],[120,4593,4595],{"className":4594},[726],[120,4596,4598],{"className":4597},[731],[120,4599,4601],{"className":4600,"style":3677},[735],[120,4602,4603,4606],{"style":3704},[120,4604],{"className":4605,"style":744},[743],[120,4607,4609],{"className":4608},[748,749,750,751],[120,4610,4612,4615,4618],{"className":4611},[175,751],[120,4613,669],{"className":4614},[175,751],[120,4616,1442],{"className":4617},[175,176,751],[120,4619,149],{"className":4620},[175,176,751],[120,4622,762],{"className":4623},[761],[120,4625,4627],{"className":4626},[731],[120,4628,4630],{"className":4629,"style":1919},[735],[120,4631],{},[120,4633],{"className":4634},[188,1113],[120,4636,4638,4641,4644],{"className":4637},[175],[120,4639,358],{"className":4640},[403],[120,4642],{"className":4643,"style":399},[398],[120,4645,1442],{"className":4646},[175,176],[62,4648],{"src":4649,"alt":4650,"width":77},"/media/image14.png","指数分布的失效率",[21,4652,4653],{},"指数分布的失效率不随时间变化",[3590,4655,3067],{"id":4656},"平均失效时间mttf",[120,4658,4660],{"className":4659},[1588],[120,4661,4663,4755],{"className":4662},[123],[120,4664,4666],{"className":4665},[127],[129,4667,4668],{"xmlns":131,"display":1597},[133,4669,4670,4752],{},[136,4671,4672,4706,4742],{},[136,4673,4674,4680,4682,4690],{},[3081,4675,4676,4678],{"accent":162},[139,4677,2523],{},[143,4679,3087],{"stretchy":162},[143,4681,358],{},[660,4683,4684,4686,4688],{},[143,4685,664],{},[360,4687,523],{},[139,4689,673],{"mathvariant":672},[136,4691,4692,4694,4696,4698,4700,4702,4704],{},[139,4693,149],{},[139,4695,141],{},[143,4697,146],{"stretchy":145},[139,4699,149],{},[143,4701,152],{"stretchy":145},[139,4703,692],{},[139,4705,149],{},[136,4707,4708,4710,4718],{},[143,4709,358],{},[660,4711,4712,4714,4716],{},[143,4713,664],{},[360,4715,523],{},[139,4717,673],{"mathvariant":672},[136,4719,4720,4722,4738,4740],{},[139,4721,149],{},[3621,4723,4724,4730],{},[136,4725,4726,4728],{},[139,4727,1442],{},[139,4729,3629],{},[136,4731,4732,4734,4736],{},[143,4733,669],{},[139,4735,1442],{},[139,4737,149],{},[139,4739,692],{},[139,4741,149],{},[136,4743,4744,4746],{},[143,4745,358],{},[1043,4747,4748,4750],{},[360,4749,1294],{},[139,4751,1442],{},[154,4753,4754],{"encoding":156},"{\\overline{T} = \\int_{0}^{\\infty}{tf(t)dt}\n}{= \\int_{0}^{\\infty}{t{\\lambda e}^{- \\lambda t}dt}\n}{= \\frac{1}{\\lambda}}",[120,4756,4758],{"className":4757,"ariaHidden":162},[161],[120,4759,4761,4765,4893,5018],{"className":4760},[166],[120,4762],{"className":4763,"style":4764},[170],"height:2.3262em;vertical-align:-0.9119em;",[120,4766,4768,4799,4802,4805,4808,4866,4869],{"className":4767},[175],[120,4769,4771],{"className":4770},[175,3104],[120,4772,4774],{"className":4773},[726],[120,4775,4777],{"className":4776},[731],[120,4778,4780,4791],{"className":4779,"style":3100},[735],[120,4781,4782,4785],{"style":3116},[120,4783],{"className":4784,"style":1133},[743],[120,4786,4788],{"className":4787},[175],[120,4789,2523],{"className":4790,"style":275},[175,176],[120,4792,4793,4796],{"style":3128},[120,4794],{"className":4795,"style":1133},[743],[120,4797],{"className":4798,"style":1156},[3135],[120,4800],{"className":4801,"style":399},[398],[120,4803,358],{"className":4804},[403],[120,4806],{"className":4807,"style":399},[398],[120,4809,4811,4814],{"className":4810},[879],[120,4812,664],{"className":4813,"style":3943},[879,883,3942],[120,4815,4817],{"className":4816},[722],[120,4818,4820,4858],{"className":4819},[726,727],[120,4821,4823,4855],{"className":4822},[731],[120,4824,4827,4841],{"className":4825,"style":4826},[735],"height:1.4143em;",[120,4828,4829,4832],{"style":3959},[120,4830],{"className":4831,"style":744},[743],[120,4833,4835],{"className":4834},[748,749,750,751],[120,4836,4838],{"className":4837},[175,751],[120,4839,523],{"className":4840},[175,751],[120,4842,4843,4846],{"style":3974},[120,4844],{"className":4845,"style":744},[743],[120,4847,4849],{"className":4848},[748,749,750,751],[120,4850,4852],{"className":4851},[175,751],[120,4853,673],{"className":4854},[175,751],[120,4856,762],{"className":4857},[761],[120,4859,4861],{"className":4860},[731],[120,4862,4864],{"className":4863,"style":3996},[735],[120,4865],{},[120,4867],{"className":4868,"style":993},[398],[120,4870,4872,4875,4878,4881,4884,4887,4890],{"className":4871},[175],[120,4873,149],{"className":4874},[175,176],[120,4876,141],{"className":4877,"style":177},[175,176],[120,4879,146],{"className":4880},[181],[120,4882,149],{"className":4883},[175,176],[120,4885,152],{"className":4886},[188],[120,4888,692],{"className":4889},[175,176],[120,4891,149],{"className":4892},[175,176],[120,4894,4896,4899,4902,4959,4962],{"className":4895},[175],[120,4897,358],{"className":4898},[403],[120,4900],{"className":4901,"style":399},[398],[120,4903,4905,4908],{"className":4904},[879],[120,4906,664],{"className":4907,"style":3943},[879,883,3942],[120,4909,4911],{"className":4910},[722],[120,4912,4914,4951],{"className":4913},[726,727],[120,4915,4917,4948],{"className":4916},[731],[120,4918,4920,4934],{"className":4919,"style":4826},[735],[120,4921,4922,4925],{"style":3959},[120,4923],{"className":4924,"style":744},[743],[120,4926,4928],{"className":4927},[748,749,750,751],[120,4929,4931],{"className":4930},[175,751],[120,4932,523],{"className":4933},[175,751],[120,4935,4936,4939],{"style":3974},[120,4937],{"className":4938,"style":744},[743],[120,4940,4942],{"className":4941},[748,749,750,751],[120,4943,4945],{"className":4944},[175,751],[120,4946,673],{"className":4947},[175,751],[120,4949,762],{"className":4950},[761],[120,4952,4954],{"className":4953},[731],[120,4955,4957],{"className":4956,"style":3996},[735],[120,4958],{},[120,4960],{"className":4961,"style":993},[398],[120,4963,4965,4968,5012,5015],{"className":4964},[175],[120,4966,149],{"className":4967},[175,176],[120,4969,4971,4980],{"className":4970},[175],[120,4972,4974,4977],{"className":4973},[175],[120,4975,1442],{"className":4976},[175,176],[120,4978,3629],{"className":4979},[175,176],[120,4981,4983],{"className":4982},[722],[120,4984,4986],{"className":4985},[726],[120,4987,4989],{"className":4988},[731],[120,4990,4992],{"className":4991,"style":3677},[735],[120,4993,4994,4997],{"style":3704},[120,4995],{"className":4996,"style":744},[743],[120,4998,5000],{"className":4999},[748,749,750,751],[120,5001,5003,5006,5009],{"className":5002},[175,751],[120,5004,669],{"className":5005},[175,751],[120,5007,1442],{"className":5008},[175,176,751],[120,5010,149],{"className":5011},[175,176,751],[120,5013,692],{"className":5014},[175,176],[120,5016,149],{"className":5017},[175,176],[120,5019,5021,5024,5027],{"className":5020},[175],[120,5022,358],{"className":5023},[403],[120,5025],{"className":5026,"style":399},[398],[120,5028,5030,5033,5087],{"className":5029},[175],[120,5031],{"className":5032},[181,1113],[120,5034,5036],{"className":5035},[1043],[120,5037,5039,5079],{"className":5038},[726,727],[120,5040,5042,5076],{"className":5041},[731],[120,5043,5046,5057,5065],{"className":5044,"style":5045},[735],"height:1.3214em;",[120,5047,5048,5051],{"style":1796},[120,5049],{"className":5050,"style":1133},[743],[120,5052,5054],{"className":5053},[175],[120,5055,1442],{"className":5056},[175,176],[120,5058,5059,5062],{"style":1148},[120,5060],{"className":5061,"style":1133},[743],[120,5063],{"c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和 eta 对威布尔分布 PDF 的影响",[21,6059,6060,6088,6089,6119],{},[120,6061,6063,6076],{"className":6062},[123],[120,6064,6066],{"className":6065},[127],[129,6067,6068],{"xmlns":131},[133,6069,6070,6074],{},[136,6071,6072],{},[139,6073,5525],{},[154,6075,5528],{"encoding":156},[120,6077,6079],{"className":6078,"ariaHidden":162},[161],[120,6080,6082,6085],{"className":6081},[166],[120,6083],{"className":6084,"style":5538},[170],[120,6086,5525],{"className":6087,"style":5542},[175,176]," 和 ",[120,6090,6092,6106],{"className":6091},[123],[120,6093,6095],{"className":6094},[127],[129,6096,6097],{"xmlns":131},[133,6098,6099,6103],{},[136,6100,6101],{},[139,6102,5580],{},[154,6104,6105],{"encoding":156},"\\eta",[120,6107,6109],{"className":6108,"ariaHidden":162},[161],[120,6110,6112,6116],{"className":6111},[166],[120,6113],{"className":6114,"style":6115},[170],"height:0.625em;vertical-align:-0.1944em;",[120,6117,5580],{"className":6118,"style":5677},[175,176]," 对威布尔分布 PDF 的影响",[6121,6122,6123,6245,6299],"ul",{},[103,6124,3762,6125,6200,6201,6244],{},[120,6126,6128,6151],{"className":6127},[123],[120,6129,6131],{"className":6130},[127],[129,6132,6133],{"xmlns":131},[133,6134,6135,6148],{},[136,6136,6137,6139,6142,6144,6146],{},[360,6138,523],{},[143,6140,6141],{},"\u003C",[139,6143,5525],{},[143,6145,6141],{},[360,6147,1294],{},[154,6149,6150],{"encoding":156},"0 \u003C \\beta \u003C 1",[120,6152,6154,6173,6191],{"className":6153,"ariaHidden":162},[161],[120,6155,6157,6161,6164,6167,6170],{"className":6156},[166],[120,6158],{"className":6159,"style":6160},[170],"height:0.6835em;vertical-align:-0.0391em;",[120,6162,523],{"className":6163},[175],[120,6165],{"className":6166,"style":399},[398],[120,6168,6141],{"className":6169},[403],[120,6171],{"className":6172,"style":399},[398],[120,6174,6176,6179,6182,6185,6188],{"className":6175},[166],[120,6177],{"className":6178,"style":5538},[170],[120,6180,5525],{"className":6181,"style":5542},[175,176],[120,6183],{"className":6184,"style":399},[398],[120,6186,6141],{"className":6187},[403],[120,6189],{"className":6190,"style":399},[398],[120,6192,6194,6197],{"className":6193},[166],[120,6195],{"className":6196,"style":447},[170],[120,6198,1294],{"className":6199},[175],"：",[120,6202,6204,6223],{"className":6203},[123],[120,6205,6207],{"className":6206},[127],[129,6208,6209],{"xmlns":131},[133,6210,6211,6221],{},[136,6212,6213,6215,6217,6219],{},[139,6214,141],{},[143,6216,146],{"stretchy":145},[139,6218,149],{},[143,6220,152],{"stretchy":145},[154,6222,157],{"encoding":156},[120,6224,6226],{"className":6225,"ariaHidden":162},[161],[120,6227,6229,6232,6235,6238,6241],{"className":6228},[166],[120,6230],{"className":6231,"style":171},[170],[120,6233,141],{"className":6234,"style":177},[175,176],[120,6236,146],{"className":6237},[181],[120,6239,149],{"className":6240},[175,176],[120,6242,152],{"className":6243},[188]," 在起点为无穷大，随后迅速下降。",[103,6246,3762,6247,6298],{},[120,6248,6250,6268],{"className":6249},[123],[120,6251,6253],{"className":6252},[127],[129,6254,6255],{"xmlns":131},[133,6256,6257,6265],{},[136,6258,6259,6261,6263],{},[139,6260,5525],{},[143,6262,358],{},[360,6264,1294],{},[154,6266,6267],{"encoding":156},"\\beta = 1",[120,6269,6271,6289],{"className":6270,"ariaHidden":162},[161],[120,6272,6274,6277,6280,6283,6286],{"className":6273},[166],[120,6275],{"className":6276,"style":5538},[170],[120,6278,5525],{"className":6279,"style":5542},[175,176],[120,6281],{"className":6282,"style":399},[398],[120,6284,358],{"className":6285},[403],[120,6287],{"className":6288,"style":399},[398],[120,6290,6292,6295],{"className":6291},[166],[120,6293],{"className":6294,"style":447},[170],[120,6296,1294],{"className":6297},[175],"：呈指数分布形状。",[103,6300,3762,6301,6200,6353,6396],{},[120,6302,6304,6323],{"className":6303},[123],[120,6305,6307],{"className":6306},[127],[129,6308,6309],{"xmlns":131},[133,6310,6311,6320],{},[136,6312,6313,6315,6318],{},[139,6314,5525],{},[143,6316,6317],{},">",[360,6319,1294],{},[154,6321,6322],{"encoding":156},"\\beta > 1",[120,6324,6326,6344],{"className":6325,"ariaHidden":162},[161],[120,6327,6329,6332,6335,6338,6341],{"className":6328},[166],[120,6330],{"className":6331,"style":5538},[170],[120,6333,5525],{"className":6334,"style":5542},[175,176],[120,6336],{"className":6337,"style":399},[398],[120,6339,6317],{"className":6340},[403],[120,6342],{"className":6343,"style":399},[398],[120,6345,6347,6350],{"className":6346},[166],[120,6348],{"className":6349,"style":447},[170],[120,6351,1294],{"className":6352},[175],[120,6354,6356,6375],{"className":6355},[123],[120,6357,6359],{"className":6358},[127],[129,6360,6361],{"xmlns":131},[133,6362,6363,6373],{},[136,6364,6365,6367,6369,6371],{},[139,6366,141],{},[143,6368,146],{"stretchy":145},[139,6370,149],{},[143,6372,152],{"stretchy":145},[154,6374,157],{"encoding":156},[120,6376,6378],{"className":6377,"ariaHidden":162},[161],[120,6379,6381,6384,6387,6390,6393],{"className":6380},[166],[120,6382],{"className":6383,"style":171},[170],[120,6385,141],{"className":6386,"style":177},[175,176],[120,6388,146],{"className":6389},[181],[120,6391,149],{"className":6392},[175,176],[120,6394,152],{"className":6395},[188]," 在起点为 0，随后上升至峰值再下降。",[21,6398,3762,6399,6427,6428,6456],{},[120,6400,6402,6415],{"className":6401},[123],[120,6403,6405],{"className":6404},[127],[129,6406,6407],{"xmlns":131},[133,6408,6409,6413],{},[136,6410,6411],{},[139,6412,5525],{},[154,6414,5528],{"encoding":156},[120,6416,6418],{"className":6417,"ariaHidden":162},[161],[120,6419,6421,6424],{"className":6420},[166],[120,6422],{"className":6423,"style":5538},[170],[120,6425,5525],{"className":6426,"style":5542},[175,176]," 保持不变而 ",[120,6429,6431,6444],{"className":6430},[123],[120,6432,6434],{"className":6433},[127],[129,6435,6436],{"xmlns":131},[133,6437,6438,6442],{},[136,6439,6440],{},[139,6441,5580],{},[154,6443,6105],{"encoding":156},[120,6445,6447],{"className":6446,"ariaHidden":162},[161],[120,6448,6450,6453],{"className":6449},[166],[120,6451],{"className":6452,"style":6115},[170],[120,6454,5580],{"className":6455,"style":5677},[175,176]," 增大时，威布尔分布向右伸展。曲线整体形状保持不变，但峰值降低，以保证 PDF 曲线下总面积仍为 1。",[3590,6458,202],{"id":6459},"累积分布函数cdf-2",[21,6461,6462,6463,6506,6507,6200],{},"CDF 也称为不可靠度，通常记为 ",[120,6464,6466,6485],{"className":6465},[123],[120,6467,6469],{"className":6468},[127],[129,6470,6471],{"xmlns":131},[133,6472,6473,6483],{},[136,6474,6475,6477,6479,6481],{},[139,6476,300],{},[143,6478,146],{"stretchy":145},[139,6480,149],{},[143,6482,152],{"stretchy":145},[154,6484,309],{"encoding":156},[120,6486,6488],{"className":6487,"ariaHidden":162},[161],[120,6489,6491,6494,6497,6500,6503],{"className":6490},[166],[120,6492],{"className":6493,"style":171},[170],[120,6495,300],{"className":6496},[175,176],[120,6498,146],{"className":6499},[181],[120,6501,149],{"className":6502},[175,176],[120,6504,152],{"className":6505},[188]," 或 ",[120,6508,6510,6529],{"className":6509},[123],[120,6511,6513],{"className":6512},[127],[129,6514,6515],{"xmlns":131},[133,6516,6517,6527],{},[136,6518,6519,6521,6523,6525],{},[139,6520,253],{},[143,6522,146],{"stretchy":145},[139,6524,149],{},[143,6526,152],{"stretchy":145},[154,6528,262],{"encoding":156},[120,6530,6532],{"className":6531,"ariaHidden":162},[161],[120,6533,6535,6538,6541,6544,6547],{"className":6534},[166],[120,6536],{"className":6537,"style":171},[170],[120,6539,253],{"className":6540,"style":275},[175,176],[120,6542,146],{"className":6543},[181],[120,6545,149],{"className":6546},[175,176],[120,6548,152],{"className":6549},[188],[21,6551,6552],{},[120,6553,6555,6613],{"className":6554},[123],[120,6556,6558],{"className":6557},[127],[129,6559,6560],{"xmlns":131},[133,6561,6562,6610],{},[136,6563,6564,6566,6568,6570,6572,6574,6576,6578,6580,6582,6584,6586],{},[139,6565,300],{},[143,6567,146],{"stretchy":145},[139,6569,149],{},[143,6571,5572],{"separator":162},[139,6573,5525],{},[143,6575,5577],{"separator":162},[139,6577,5580],{},[143,6579,152],{"stretchy":145},[143,6581,358],{},[360,6583,1294],{},[143,6585,669],{},[3621,6587,6588,6590],{},[139,6589,3629],{},[136,6591,6592,6594],{},[143,6593,669],{},[3621,6595,6596,6608],{},[136,6597,6598,6600,6606],{},[143,6599,146],{"fence":162},[1043,6601,6602,6604],{},[139,6603,149],{},[139,6605,5580],{},[143,6607,152],{"fence":162},[139,6609,5525],{},[154,6611,6612],{"encoding":156},"Q(t;\\beta,\\eta) = 1 - e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}",[120,6614,6616,6661,6679],{"className":6615,"ariaHidden":162},[161],[120,6617,6619,6622,6625,6628,6631,6634,6637,6640,6643,6646,6649,6652,6655,6658],{"className":6618},[166],[120,6620],{"className":6621,"style":171},[170],[120,6623,300],{"className":6624},[175,176],[120,6626,146],{"className":6627},[181],[120,6629,149],{"className":6630},[175,176],[120,6632,5572],{"className":6633},[5661],[120,6635],{"className":6636,"style":993},[398],[120,6638,5525],{"className":6639,"style":5542},[175,176],[120,6641,5577],{"className":6642},[5661],[120,6644],{"className":6645,"style":993},[398],[120,6647,5580],{"className":6648,"style":5677},[175,176],[120,6650,152],{"className":6651},[188],[120,6653],{"className":6654,"style":399},[398],[120,6656,358],{"className":6657},[403],[120,6659],{"className":6660,"style":399},[398],[120,6662,6664,6667,6670,6673,6676],{"className":6663},[166],[120,6665],{"className":6666,"style":1345},[170],[120,6668,1294],{"className":6669},[175],[120,6671],{"className":6672,"style":1352},[398],[120,6674,669],{"className":6675},[1356],[120,6677],{"className":6678,"style":1352},[398],[120,6680,6682,6685],{"className":6681},[166],[120,6683],{"className":6684,"style":5913},[170],[120,6686,6688,6691],{"className":6687},[175],[120,6689,3629],{"className":6690},[175,176],[120,6692,6694],{"className":6693},[722],[120,6695,6697],{"className":6696},[726],[120,6698,6700],{"className":6699},[731],[120,6701,6703],{"className":6702,"style":5913},[735],[120,6704,6705,6708],{"style":5916},[120,6706],{"className":6707,"style":1133},[743],[120,6709,6711],{"className":6710},[748,749,750,751],[120,6712,6714,6717],{"className":6713},[175,751],[120,6715,669],{"className":6716},[175,751],[120,6718,6720,6803],{"className":6719},[2781,751],[120,6721,6723,6729,6797],{"className":6722},[2781,751],[120,6724,6726],{"className":6725,"style":5942},[181,748,958,5941,751,2785],[120,6727,146],{"className":6728},[751],[120,6730,6732,6735,6794],{"className":6731},[175,751],[120,6733],{"className":6734},[181,1113,748,958,5941],[120,6736,6738],{"className":6737},[1043],[120,6739,6741,6786],{"className":6740},[726,727],[120,6742,6744,6783],{"className":6743},[731],[120,6745,6747,6761,6769],{"className":6746,"style":5964},[735],[120,6748,6749,6752],{"style":5967},[120,6750],{"className":6751,"style":1133},[743],[120,6753,6755],{"className":6754},[748,958,959,751],[120,6756,6758],{"className":6757},[175,751],[120,6759,5580],{"className":6760,"style":5677},[175,176,751],[120,6762,6763,6766],{"style":5982},[120,6764],{"className":6765,"style":1133},[743],[120,6767],{"className":6768,"style":5989},[1155,751],[120,6770,6771,6774],{"style":5992},[120,6772],{"className":6773,"style":1133},[743],[120,6775,6777],{"className":6776},[748,958,959,751],[120,6778,6780],{"className":6779},[175,751],[120,6781,149],{"className":6782},[175,176,751],[120,6784,762],{"className":6785},[761],[120,6787,6789],{"className":6788},[731],[120,6790,6792],{"className":6791,"style":6014},[735],[120,6793],{},[120,6795],{"className":6796},[188,1113,748,958,5941],[120,6798,6800],{"className":6799,"style":5942},[188,748,958,5941,751,2785],[120,6801,152],{"className":6802},[751],[120,6804,6806],{"className":6805},[722],[120,6807,6809],{"className":6808},[726],[120,6810,6812],{"className":6811},[731],[120,6813,6815],{"className":6814,"style":6038},[735],[120,6816,6817,6820],{"style":6041},[120,6818],{"className":6819,"style":954},[743],[120,6821,6823],{"className":6822},[748,958,959,751],[120,6824,6826],{"className":6825},[175,751],[120,6827,5525],{"className":6828,"style":5542},[175,176,751],[62,6830],{"src":6831,"alt":6832,"width":3532},"/media/image16.png","beta 和 eta 对威布尔分布 CDF 的影响",[21,6834,6835,6088,6863,6891],{},[120,6836,6838,6851],{"className":6837},[123],[120,6839,6841],{"className":6840},[127],[129,6842,6843],{"xmlns":131},[133,6844,6845,6849],{},[136,6846,6847],{},[139,6848,5525],{},[154,6850,5528],{"encoding":156},[120,6852,6854],{"className":6853,"ariaHidden":162},[161],[120,6855,6857,6860],{"className":6856},[166],[120,6858],{"className":6859,"style":5538},[170],[120,6861,5525],{"className":6862,"style":5542},[175,176],[120,6864,6866,6879],{"className":6865},[123],[120,6867,6869],{"className":6868},[127],[129,6870,6871],{"xmlns":131},[133,6872,6873,6877],{},[136,6874,6875],{},[139,6876,5580],{},[154,6878,6105],{"encoding":156},[120,6880,6882],{"className":6881,"ariaHidden":162},[161],[120,6883,6885,6888],{"className":6884},[166],[120,6886],{"className":6887,"style":6115},[170],[120,6889,5580],{"className":6890,"style":5677},[175,176]," 对威布尔分布 CDF 的影响",[6121,6893,6894,6969,7021],{},[103,6895,3762,6896,6968],{},[120,6897,6899,6920],{"className":6898},[123],[120,6900,6902],{"className":6901},[127],[129,6903,6904],{"xmlns":131},[133,6905,6906,6918],{},[136,6907,6908,6910,6912,6914,6916],{},[360,6909,523],{},[143,6911,6141],{},[139,6913,5525],{},[143,6915,6141],{},[360,6917,1294],{},[154,6919,6150],{"encoding":156},[120,6921,6923,6941,6959],{"className":6922,"ariaHidden":162},[161],[120,6924,6926,6929,6932,6935,6938],{"className":6925},[166],[120,6927],{"className":6928,"style":6160},[170],[120,6930,523],{"className":6931},[175],[120,6933],{"className":6934,"style":399},[398],[120,6936,6141],{"className":6937},[403],[120,6939],{"className":6940,"style":399},[398],[120,6942,6944,6947,6950,6953,6956],{"className":6943},[166],[120,6945],{"className":6946,"style":5538},[170],[120,6948,5525],{"className":6949,"style":5542},[175,176],[120,6951],{"className":6952,"style":399},[398],[120,6954,6141],{"className":6955},[403],[120,6957],{"className":6958,"style":399},[398],[120,6960,6962,6965],{"className":6961},[166],[120,6963],{"className":6964,"style":447},[170],[120,6966,1294],{"className":6967},[175],"：初期迅速上升，之后逐渐趋缓。",[103,6970,3762,6971,6298],{},[120,6972,6974,6991],{"className":6973},[123],[120,6975,6977],{"className":6976},[127],[129,6978,6979],{"xmlns":131},[133,6980,6981,6989],{},[136,6982,6983,6985,6987],{},[139,6984,5525],{},[143,6986,358],{},[360,6988,1294],{},[154,6990,6267],{"encoding":156},[120,6992,6994,7012],{"className":6993,"ariaHidden":162},[161],[120,6995,6997,7000,7003,7006,7009],{"className":6996},[166],[120,6998],{"className":6999,"style":5538},[170],[120,7001,5525],{"className":7002,"style":5542},[175,176],[120,7004],{"className":7005,"style":399},[398],[120,7007,358],{"className":7008},[403],[120,7010],{"className":7011,"style":399},[398],[120,7013,7015,7018],{"className":7014},[166],[120,7016],{"className":7017,"style":447},[170],[120,7019,1294],{"className":7020},[175],[103,7022,3762,7023,7073],{},[120,7024,7026,7043],{"className":7025},[123],[120,7027,7029],{"className":7028},[127],[129,7030,7031],{"xmlns":131},[133,7032,7033,7041],{},[136,7034,7035,7037,7039],{},[139,7036,5525],{},[143,7038,6317],{},[360,7040,1294],{},[154,7042,6322],{"encoding":156},[120,7044,7046,7064],{"className":7045,"ariaHidden":162},[161],[120,7047,7049,7052,7055,7058,7061],{"className":7048},[166],[120,7050],{"className":7051,"style":5538},[170],[120,7053,5525],{"className":7054,"style":5542},[175,176],[120,7056],{"className":7057,"style":399},[398],[120,7059,6317],{"className":7060},[403],[120,7062],{"className":7063,"style":399},[398],[120,7065,7067,7070],{"className":7066},[166],[120,7068],{"className":7069,"style":447},[170],[120,7071,1294],{"className":7072},[175],"：呈 S 形，初期增长缓慢，随后快速上升。",[21,7075,3762,7076,6427,7104,7132],{},[120,7077,7079,7092],{"className":7078},[123],[120,7080,7082],{"className":7081},[127],[129,7083,7084],{"xmlns":131},[133,7085,7086,7090],{},[136,7087,7088],{},[139,7089,5525],{},[154,7091,5528],{"encoding":156},[120,7093,7095],{"className":7094,"ariaHidden":162},[161],[120,7096,7098,7101],{"className":7097},[166],[120,7099],{"className":7100,"style":5538},[170],[120,7102,5525],{"className":7103,"style":5542},[175,176],[120,7105,7107,7120],{"className":7106},[123],[120,7108,7110],{"className":7109},[127],[129,7111,7112],{"xmlns":131},[133,7113,7114,7118],{},[136,7115,7116],{},[139,7117,5580],{},[154,7119,6105],{"encoding":156},[120,7121,7123],{"className":7122,"ariaHidden":162},[161],[120,7124,7126,7129],{"className":7125},[166],[120,7127],{"className":7128,"style":6115},[170],[120,7130,5580],{"className":7131,"style":5677},[175,176]," 增大时，CDF 曲线向右伸展，整体形状不变。",[3590,7134,4278],{"id":7135},"失效率函数-1",[21,7137,7138,7139,7182],{},"失效率函数 ",[120,7140,7142,7161],{"className":7141},[123],[120,7143,7145],{"className":7144},[127],[129,7146,7147],{"xmlns":131},[133,7148,7149,7159],{},[136,7150,7151,7153,7155,7157],{},[139,7152,1442],{},[143,7154,146],{"stretchy":145},[139,7156,149],{},[143,7158,152],{"stretchy":145},[154,7160,1451],{"encoding":156},[120,7162,7164],{"className":7163,"ariaHidden":162},[161],[120,7165,7167,7170,7173,7176,7179],{"className":7166},[166],[120,7168],{"className":7169,"style":171},[170],[120,7171,1442],{"className":7172},[175,176],[120,7174,146],{"className":7175},[181],[120,7177,149],{"className":7178},[175,176],[120,7180,152],{"className":7181},[188]," 表示单位时间内发生失效的比例：",[21,7184,7185],{},[120,7186,7188,7234],{"className":7187},[123],[120,7189,7191],{"className":7190},[127],[129,7192,7193],{"xmlns":131},[133,7194,7195,7231],{},[136,7196,7197,7199,7201,7203,7205,7207],{},[139,7198,1442],{},[143,7200,146],{"stretchy":145},[139,7202,149],{},[143,7204,152],{"stretchy":145},[143,7206,358],{},[1043,7208,7209,7221],{},[136,7210,7211,7213,7215,7217,7219],{},[139,7212,141],{},[143,7214,146],{"stretchy":145},[139,7216,149],{},[143,7218,152],{"stretchy":145},[364,7220,423],{},[136,7222,7223,7225,7227,7229],{},[139,7224,1283],{},[143,7226,146],{"stretchy":145},[139,7228,149],{},[143,7230,152],{"stretchy":145},[154,7232,7233],{"encoding":156},"\\lambda(t) = \\frac{f(t)\\text{~}}{R(t)}",[120,7235,7237,7264],{"className":7236,"ariaHidden":162},[161],[120,7238,7240,7243,7246,7249,7252,7255,7258,7261],{"className":7239},[166],[120,7241],{"className":7242,"style":171},[170],[120,7244,1442],{"className":7245},[175,176],[120,7247,146],{"className":7248},[181],[120,7250,149],{"className":7251},[175,176],[120,7253,152],{"className":7254},[188],[120,7256],{"className":7257,"style":399},[398],[120,7259,358],{"className":7260},[403],[120,7262],{"className":7263,"style":399},[398],[120,7265,7267,7271],{"className":7266},[166],[120,7268],{"className":7269,"style":7270},[170],"height:1.53em;vertical-align:-0.52em;",[120,7272,7274,7277,7360],{"className":7273},[175],[120,7275],{"className":7276},[181,1113],[120,7278,7280],{"className":7279},[1043],[120,7281,7283,7352],{"className":7282},[726,727],[120,7284,7286,7349],{"className":7285},[731],[120,7287,7289,7312,7320],{"className":7288,"style":1126},[735],[120,7290,7291,7294],{"style":1129},[120,7292],{"className":7293,"style":1133},[743],[120,7295,7297],{"className":7296},[748,749,750,751],[120,7298,7300,7303,7306,7309],{"className":7299},[175,751],[120,7301,1283],{"className":7302,"style":1320},[175,176,751],[120,7304,146],{"className":7305},[181,751],[120,7307,149],{"className":7308},[175,176,751],[120,7310,152],{"className":7311},[188,751],[120,7313,7314,7317],{"style":1148},[120,7315],{"className":7316,"style":1133},[743],[120,7318],{"className":7319,"style":1156},[1155],[120,7321,7322,7325],{"style":1159},[120,7323],{"className":7324,"style":1133},[743],[120,7326,7328],{"className":7327},[748,749,750,751],[120,7329,7331,7334,7337,7340,7343],{"className":7330},[175,751],[120,7332,141],{"className":7333,"style":177},[175,176,751],[120,7335,146],{"className":7336},[181,751],[120,7338,149],{"className":7339},[175,176,751],[120,7341,152],{"className":7342},[188,751],[120,7344,7346],{"className":7345},[175,419,751],[120,7347,423],{"className":7348},[175,751,2327],[120,7350,762],{"className":7351},[761],[120,7353,7355],{"className":7354},[731],[120,7356,7358],{"className":7357,"style":1904},[735],[120,7359],{},[120,7361],{"className":7362},[188,1113],[21,7364,7365,7366],{},"代入\n",[120,7367,7369,7443],{"className":7368},[123],[120,7370,7372],{"className":7371},[127],[129,7373,7374],{"xmlns":131},[133,7375,7376,7440],{},[136,7377,7378,7380,7382,7384,7386,7388,7394,7416],{},[139,7379,141],{},[143,7381,146],{"stretchy":145},[139,7383,149],{},[143,7385,152],{"stretchy":145},[143,7387,358],{},[1043,7389,7390,7392],{},[139,7391,5525],{},[139,7393,5580],{},[3621,7395,7396,7408],{},[136,7397,7398,7400,7406],{},[143,7399,146],{"fence":162},[1043,7401,7402,7404],{},[139,7403,149],{},[139,7405,5580],{},[143,7407,152],{"fence":162},[136,7409,7410,7412,7414],{},[139,7411,5525],{},[143,7413,669],{},[360,7415,1294],{},[3621,7417,7418,7420],{},[139,7419,3629],{},[3621,7421,7422,7438],{},[136,7423,7424,7426],{},[143,7425,669],{},[136,7427,7428,7430,7436],{},[143,7429,146],{"fence":162},[1043,7431,7432,7434],{},[139,7433,149],{},[139,7435,5580],{},[143,7437,152],{"fence":162},[139,7439,5525],{},[154,7441,7442],{"encoding":156},"f(t) = \\frac{\\beta}{\\eta}\\left( \\frac{t}{\\eta} \\right)^{\\beta - 1}e^{{- \\left( \\frac{t}{\\eta} \\right)}^{\\beta}}",[120,7444,7446,7473],{"className":7445,"ariaHidden":162},[161],[120,7447,7449,7452,7455,7458,7461,7464,7467,7470],{"className":7448},[166],[120,7450],{"className":7451,"style":171},[170],[120,7453,141],{"className":7454,"style":177},[175,176],[120,7456,146],{"className":7457},[181],[120,7459,149],{"className":7460},[175,176],[120,7462,152],{"className":7463},[188],[120,7465],{"className":7466,"style":399},[398],[120,7468,358],{"className":7469},[403],[120,7471],{"className":7472,"style":399},[398],[120,7474,7476,7479,7547,7550,7668,7671],{"className":7475},[166],[120,7477],{"className":7478,"style":5696},[170],[120,7480,7482,7485,7544],{"className":7481},[175],[120,7483],{"className":7484},[181,1113],[120,7486,7488],{"className":7487},[1043],[120,7489,7491,7536],{"className":7490},[726,727],[120,7492,7494,7533],{"className":7493},[731],[120,7495,7497,7511,7519],{"className":7496,"style":5715},[735],[120,7498,7499,7502],{"style":1129},[120,7500],{"className":7501,"style":1133},[743],[120,7503,7505],{"className":7504},[748,749,750,751],[120,7506,7508],{"className":7507},[175,751],[120,7509,5580],{"className":7510,"style":5677},[175,176,751],[120,7512,7513,7516],{"style":1148},[120,7514],{"className":7515,"style":1133},[743],[120,7517],{"className":7518,"style":1156},[1155],[120,7520,7521,7524],{"style":5740},[120,7522],{"className":7523,"style":1133},[743],[120,7525,7527],{"className":7526},[748,749,750,751],[120,7528,7530],{"className":7529},[175,751],[120,7531,5525],{"className":7532,"style":5542},[175,176,751],[120,7534,762],{"className":7535},[761],[120,7537,7539],{"className":7538},[731],[120,7540,7542],{"className":7541,"style":5762},[735],[120,7543],{},[120,7545],{"className":7546},[188,1113],[120,7548],{"className":7549,"style":993},[398],[120,7551,7553,7636],{"className":7552},[2781],[120,7554,7556,7562,7630],{"className":7555},[2781],[120,7557,7559],{"className":7558,"style":2786},[181,2785],[120,7560,146],{"className":7561},[2790,3472],[120,7563,7565,7568,7627],{"className":7564},[175],[120,7566],{"className":7567},[181,1113],[120,7569,7571],{"className":7570},[1043],[120,7572,7574,7619],{"className":7573},[726,727],[120,7575,7577,7616],{"className":7576},[731],[120,7578,7580,7594,7602],{"className":7579,"style":5801},[735],[120,7581,7582,7585],{"style":1129},[120,7583],{"className":7584,"style":1133},[743],[120,7586,7588],{"className":7587},[748,749,750,751],[120,7589,7591],{"className":7590},[175,751],[120,7592,5580],{"className":7593,"style":5677},[175,176,751],[120,7595,7596,7599],{"style":1148},[120,7597],{"className":7598,"style":1133},[743],[120,7600],{"className":7601,"style":1156},[1155],[120,7603,7604,7607],{"style":1879},[120,7605],{"className":7606,"style":1133},[743],[120,7608,7610],{"className":7609},[748,749,750,751],[120,7611,7613],{"className":7612},[175,751],[120,7614,149],{"className":7615},[175,176,751],[120,7617,762],{"className":7618},[761],[120,7620,7622],{"className":7621},[731],[120,7623,7625],{"className":7624,"style":5762},[735],[120,7626],{},[120,7628],{"className":7629},[188,1113],[120,7631,7633],{"className":7632,"style":2786},[188,2785],[120,7634,152],{"className":7635},[2790,3472],[120,7637,7639],{"className":7638},[722],[120,7640,7642],{"className":7641},[726],[120,7643,7645],{"className":7644},[731],[120,7646,7648],{"className":7647,"style":5870},[735],[120,7649,7650,7653],{"style":5873},[120,7651],{"className":7652,"style":744},[743],[120,7654,7656],{"className":7655},[748,749,750,751],[120,7657,7659,7662,7665],{"className":7658},[175,751],[120,7660,5525],{"className":7661,"style":5542},[175,176,751],[120,7663,669],{"className":7664},[1356,751],[120,7666,1294],{"className":7667},[175,751],[120,7669],{"className":7670,"style":993},[398],[120,7672,7674,7677],{"className":7673},[175],[120,7675,3629],{"className":7676},[175,176],[120,7678,7680],{"className":7679},[722],[120,7681,7683],{"className":7682},[726],[120,7684,7686],{"className":7685},[731],[120,7687,7689],{"className":7688,"style":5913},[735],[120,7690,7691,7694],{"style":5916},[120,7692],{"className":7693,"style":1133},[743],[120,7695,7697],{"className":7696},[748,749,750,751],[120,7698,7700],{"className":7699},[175,751],[120,7701,7703,7792],{"className":7702},[175,751],[120,7704,7706,7709],{"className":7705},[175,751],[120,7707,669],{"className":7708},[175,751],[120,7710,7712,7718,7786],{"className":7711},[2781,751],[120,7713,7715],{"className":7714,"style":5942},[181,748,958,5941,751,2785],[120,7716,146],{"className":7717},[751],[120,7719,7721,7724,7783],{"className":7720},[175,751],[120,7722],{"className":7723},[181,1113,748,958,5941],[120,7725,7727],{"className":7726},[1043],[120,7728,7730,7775],{"className":7729},[726,727],[120,7731,7733,7772],{"className":7732},[731],[120,7734,7736,7750,7758],{"className":7735,"style":5964},[735],[120,7737,7738,7741],{"style":5967},[120,7739],{"className":7740,"style":1133},[743],[120,7742,7744],{"className":7743},[748,958,959,751],[120,7745,7747],{"className":7746},[175,751],[120,7748,5580],{"className":7749,"style":5677},[175,176,751],[120,7751,7752,7755],{"style":5982},[120,7753],{"className":7754,"style":1133},[743],[120,7756],{"className":7757,"style":5989},[1155,751],[120,7759,7760,7763],{"style":5992},[120,7761],{"className":7762,"style":1133},[743],[120,7764,7766],{"className":7765},[748,958,959,751],[120,7767,7769],{"className":7768},[175,751],[120,7770,149],{"className":7771},[175,176,751],[120,7773,762],{"className":7774},[761],[120,7776,7778],{"className":7777},[731],[120,7779,7781],{"className":7780,"style":6014},[735],[120,7782],{},[120,7784],{"className":7785},[188,1113,748,958,5941],[120,7787,7789],{"className":7788,"style":5942},[188,748,958,5941,751,2785],[120,7790,152],{"className":7791},[751],[120,7793,7795],{"className":7794},[722],[120,7796,7798],{"className":7797},[726],[120,7799,7801],{"className":7800},[731],[120,7802,7804],{"className":7803,"style":6038},[735],[120,7805,7806,7809],{"style":6041},[120,7807],{"className":7808,"style":954},[743],[120,7810,7812],{"className":7811},[748,958,959,751],[120,7813,7815],{"className":7814},[175,751],[120,7816,5525],{"className":7817,"style":5542},[175,176,751],[21,7819,7820,7821,6200],{},"和 ",[120,7822,7824,7870],{"className":7823},[123],[120,7825,7827],{"className":7826},[127],[129,7828,7829],{"xmlns":131},[133,7830,7831,7867],{},[136,7832,7833,7835,7837,7839,7841,7843],{},[139,7834,1283],{},[143,7836,146],{"stretchy":145},[139,7838,149],{},[143,7840,152],{"stretchy":145},[143,7842,358],{},[3621,7844,7845,7847],{},[139,7846,3629],{},[136,7848,7849,7851],{},[143,7850,669],{},[3621,7852,7853,7865],{},[136,7854,7855,7857,7863],{},[143,7856,146],{"fence":162},[1043,7858,7859,7861],{},[139,7860,149],{},[139,7862,5580],{},[143,7864,152],{"fence":162},[139,7866,5525],{},[154,7868,7869],{"encoding":156},"R(t) = e^{- \\left( \\frac{t}{\\eta} 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和 eta 对威布尔失效率函数的影响",[21,8966,8967,6088,8995,9023],{},[120,8968,8970,8983],{"className":8969},[123],[120,8971,8973],{"className":8972},[127],[129,8974,8975],{"xmlns":131},[133,8976,8977,8981],{},[136,8978,8979],{},[139,8980,5525],{},[154,8982,5528],{"encoding":156},[120,8984,8986],{"className":8985,"ariaHidden":162},[161],[120,8987,8989,8992],{"className":8988},[166],[120,8990],{"className":8991,"style":5538},[170],[120,8993,5525],{"className":8994,"style":5542},[175,176],[120,8996,8998,9011],{"className":8997},[123],[120,8999,9001],{"className":9000},[127],[129,9002,9003],{"xmlns":131},[133,9004,9005,9009],{},[136,9006,9007],{},[139,9008,5580],{},[154,9010,6105],{"encoding":156},[120,9012,9014],{"className":9013,"ariaHidden":162},[161],[120,9015,9017,9020],{"className":9016},[166],[120,9018],{"className":9019,"style":6115},[170],[120,9021,5580],{"className":9022,"style":5677},[175,176]," 对威布尔失效率函数的影响",[6121,9025,9026,9101,9154],{},[103,9027,3762,9028,9100],{},[120,9029,9031,9052],{"className":9030},[123],[120,9032,9034],{"className":9033},[127],[129,9035,9036],{"xmlns":131},[133,9037,9038,9050],{},[136,9039,9040,9042,9044,9046,9048],{},[360,9041,523],{},[143,9043,6141],{},[139,9045,5525],{},[143,9047,6141],{},[360,9049,1294],{},[154,9051,6150],{"encoding":156},[120,9053,9055,9073,9091],{"className":9054,"ariaHidden":162},[161],[120,9056,9058,9061,9064,9067,9070],{"className":9057},[166],[120,9059],{"className":9060,"style":6160},[170],[120,9062,523],{"className":9063},[175],[120,9065],{"className":9066,"style":399},[398],[120,9068,6141],{"className":9069},[403],[120,9071],{"className":9072,"style":399},[398],[120,9074,9076,9079,9082,9085,9088],{"className":9075},[166],[120,9077],{"className":9078,"style":5538},[170],[120,9080,5525],{"className":9081,"style":5542},[175,176],[120,9083],{"className":9084,"style":399},[398],[120,9086,6141],{"className":9087},[403],[120,9089],{"className":9090,"style":399},[398],[120,9092,9094,9097],{"className":9093},[166],[120,9095],{"className":9096,"style":447},[170],[120,9098,1294],{"className":9099},[175],"：初始失效率较高，之后随时间下降，适合描述早期失效。",[103,9102,3762,9103,9153],{},[120,9104,9106,9123],{"className":9105},[123],[120,9107,9109],{"className":9108},[127],[129,9110,9111],{"xmlns":131},[133,9112,9113,9121],{},[136,9114,9115,9117,9119],{},[139,9116,5525],{},[143,9118,358],{},[360,9120,1294],{},[154,9122,6267],{"encoding":156},[120,9124,9126,9144],{"className":9125,"ariaHidden":162},[161],[120,9127,9129,9132,9135,9138,9141],{"className":9128},[166],[120,9130],{"className":9131,"style":5538},[170],[120,9133,5525],{"className":9134,"style":5542},[175,176],[120,9136],{"className":9137,"style":399},[398],[120,9139,358],{"className":9140},[403],[120,9142],{"className":9143,"style":399},[398],[120,9145,9147,9150],{"className":9146},[166],[120,9148],{"className":9149,"style":447},[170],[120,9151,1294],{"className":9152},[175],"：失效率恒定。",[103,9155,3762,9156,9206],{},[120,9157,9159,9176],{"className":9158},[123],[120,9160,9162],{"className":9161},[127],[129,9163,9164],{"xmlns":131},[133,9165,9166,9174],{},[136,9167,9168,9170,9172],{},[139,9169,5525],{},[143,9171,6317],{},[360,9173,1294],{},[154,9175,6322],{"encoding":156},[120,9177,9179,9197],{"className":9178,"ariaHidden":162},[161],[120,9180,9182,9185,9188,9191,9194],{"className":9181},[166],[120,9183],{"className":9184,"style":5538},[170],[120,9186,5525],{"className":9187,"style":5542},[175,176],[120,9189],{"className":9190,"style":399},[398],[120,9192,6317],{"className":9193},[403],[120,9195],{"className":9196,"style":399},[398],[120,9198,9200,9203],{"className":9199},[166],[120,9201],{"className":9202,"style":447},[170],[120,9204,1294],{"className":9205},[175],"：失效率随时间上升，适合描述磨损失效。",[21,9208,9209,9210,9238,9239,9267],{},"减小 ",[120,9211,9213,9226],{"className":9212},[123],[120,9214,9216],{"className":9215},[127],[129,9217,9218],{"xmlns":131},[133,9219,9220,9224],{},[136,9221,9222],{},[139,9223,5580],{},[154,9225,6105],{"encoding":156},[120,9227,9229],{"className":9228,"ariaHidden":162},[161],[120,9230,9232,9235],{"className":9231},[166],[120,9233],{"className":9234,"style":6115},[170],[120,9236,5580],{"className":9237,"style":5677},[175,176]," 会使失效提前，因此相同时间 ",[120,9240,9242,9255],{"className":9241},[123],[120,9243,9245],{"className":9244},[127],[129,9246,9247],{"xmlns":131},[133,9248,9249,9253],{},[136,9250,9251],{},[139,9252,149],{},[154,9254,149],{"encoding":156},[120,9256,9258],{"className":9257,"ariaHidden":162},[161],[120,9259,9261,9264],{"className":9260},[166],[120,9262],{"className":9263,"style":231},[170],[120,9265,149],{"className":9266},[175,176]," 下的失效率更高。",[3590,9269,3067],{"id":9270},"平均失效时间mttf-1",[21,9272,9273],{},"威布尔分布的均值为：",[21,9275,9276],{},[120,9277,9279,9322],{"className":9278},[123],[120,9280,9282],{"className":9281},[127],[129,9283,9284],{"xmlns":131},[133,9285,9286,9319],{},[136,9287,9288,9294,9296,9298,9300,9303],{},[3081,9289,9290,9292],{"accent":162},[139,9291,2523],{},[143,9293,3087],{"stretchy":162},[143,9295,358],{},[139,9297,5580],{},[143,9299,1693],{},[139,9301,9302],{"mathvariant":672},"Γ",[136,9304,9305,9307,9313,9315,9317],{},[143,9306,146],{"fence":162},[1043,9308,9309,9311],{},[360,9310,1294],{},[139,9312,5525],{},[143,9314,2646],{},[360,9316,1294],{},[143,9318,152],{"fence":162},[154,9320,9321],{"encoding":156},"\\overline{T} = \\eta \\bullet \\Gamma\\left( \\frac{1}{\\beta} + 1 \\right)",[120,9323,9325,9371,9390],{"className":9324,"ariaHidden":162},[161],[120,9326,9328,9331,9362,9365,9368],{"className":9327},[166],[120,9329],{"className":9330,"style":3100},[170],[120,9332,9334],{"className":9333},[175,3104],[120,9335,9337],{"className":9336},[726],[120,9338,9340],{"className":9339},[731],[120,9341,9343,9354],{"className":9342,"style":3100},[735],[120,9344,9345,9348],{"style":3116},[120,9346],{"className":9347,"style":1133},[743],[120,9349,9351],{"className":9350},[175],[120,9352,2523],{"className":9353,"style":275},[175,176],[120,9355,9356,9359],{"style":3128},[120,9357],{"className":9358,"style":1133},[743],[120,9360],{"className":9361,"style":1156},[3135],[120,9363],{"className":9364,"style":399},[398],[120,9366,358],{"className":9367},[403],[120,9369],{"className":9370,"style":399},[398],[120,9372,9374,9378,9381,9384,9387],{"className":9373},[166],[120,9375],{"className":9376,"style":9377},[170],"height:0.6389em;vertical-align:-0.1944em;",[120,9379,5580],{"className":9380,"style":5677},[175,176],[120,9382],{"className":9383,"style":1352},[398],[120,9385,1693],{"className":9386},[1356],[120,9388],{"className":9389,"style":1352},[398],[120,9391,9393,9396,9399,9402],{"className":9392},[166],[120,9394],{"className":9395,"style":3456},[170],[120,9397,9302],{"className":9398},[175],[120,9400],{"className":9401,"style":993},[398],[120,9403,9405,9411,9480,9483,9486,9489,9492],{"className":9404},[2781],[120,9406,9408],{"className":9407,"style":2786},[181,2785],[120,9409,146],{"className":9410},[2790,3472],[120,9412,9414,9417,9477],{"className":9413},[175],[120,9415],{"className":9416},[181,1113],[120,9418,9420],{"className":9419},[1043],[120,9421,9423,9469],{"className":9422},[726,727],[120,9424,9426,9466],{"className":9425},[731],[120,9427,9430,9444,9452],{"className":9428,"style":9429},[735],"height:0.8451em;",[120,9431,9432,9435],{"style":1129},[120,9433],{"className":9434,"style":1133},[743],[120,9436,9438],{"className":9437},[748,749,750,751],[120,9439,9441],{"className":9440},[175,751],[120,9442,5525],{"className":9443,"style":5542},[175,176,751],[120,9445,9446,9449],{"style":1148},[120,9447],{"className":9448,"style":1133},[743],[120,9450],{"className":9451,"style":1156},[1155],[120,9453,9454,9457],{"style":1879},[120,9455],{"className":9456,"style":1133},[743],[120,9458,9460],{"className":9459},[748,749,750,751],[120,9461,9463],{"className":9462},[175,751],[120,9464,1294],{"className":9465},[175,751],[120,9467,762],{"className":9468},[761],[120,9470,9472],{"className":9471},[731],[120,9473,9475],{"className":9474,"style":5762},[735],[120,9476],{},[120,9478],{"className":9479},[188,1113],[120,9481],{"className":9482,"style":1352},[398],[120,9484,2646],{"className":9485},[1356],[120,9487],{"className":9488,"style":1352},[398],[120,9490,1294],{"className":9491},[175],[120,9493,9495],{"className":9494,"style":2786},[188,2785],[120,9496,152],{"className":9497},[2790,3472],[21,9499,9500],{},"其中：",[21,9502,9503],{},[120,9504,9506,9566],{"className":9505},[123],[120,9507,9509],{"className":9508},[127],[129,9510,9511],{"xmlns":131},[133,9512,9513,9563],{},[136,9514,9515,9517,9519,9522,9524,9526,9534],{},[139,9516,9302],{"mathvariant":672},[143,9518,146],{"stretchy":145},[139,9520,9521],{},"n",[143,9523,152],{"stretchy":145},[143,9525,358],{},[660,9527,9528,9530,9532],{},[143,9529,664],{},[360,9531,523],{},[139,9533,673],{"mathvariant":672},[136,9535,9536,9547,9559,9561],{},[3621,9537,9538,9540],{},[139,9539,3629],{},[136,9541,9542,9544],{},[143,9543,669],{},[139,9545,9546],{},"x",[3621,9548,9549,9551],{},[139,9550,9546],{},[136,9552,9553,9555,9557],{},[139,9554,9521],{},[143,9556,669],{},[360,9558,1294],{},[139,9560,692],{},[139,9562,9546],{},[154,9564,9565],{"encoding":156},"\\Gamma(n) = \\int_{0}^{\\infty}{e^{- x}x^{n - 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和 sigma 对正态分布 PDF 的影响",[21,10844,10845,6088,10874,10904],{},[120,10846,10848,10862],{"className":10847},[123],[120,10849,10851],{"className":10850},[127],[129,10852,10853],{"xmlns":131},[133,10854,10855,10859],{},[136,10856,10857],{},[139,10858,10357],{},[154,10860,10861],{"encoding":156},"\\mu",[120,10863,10865],{"className":10864,"ariaHidden":162},[161],[120,10866,10868,10871],{"className":10867},[166],[120,10869],{"className":10870,"style":6115},[170],[120,10872,10357],{"className":10873},[175,176],[120,10875,10877,10891],{"className":10876},[123],[120,10878,10880],{"className":10879},[127],[129,10881,10882],{"xmlns":131},[133,10883,10884,10888],{},[136,10885,10886],{},[139,10887,10362],{},[154,10889,10890],{"encoding":156},"\\sigma",[120,10892,10894],{"className":10893,"ariaHidden":162},[161],[120,10895,10897,10901],{"className":10896},[166],[120,10898],{"className":10899,"style":10900},[170],"height:0.4306em;",[120,10902,10362],{"className":10903,"style":5677},[175,176]," 对正态分布 PDF 的影响",[21,10906,10907,10935,10936,10964,10965,10993],{},[120,10908,10910,10923],{"className":10909},[123],[120,10911,10913],{"className":10912},[127],[129,10914,10915],{"xmlns":131},[133,10916,10917,10921],{},[136,10918,10919],{},[139,10920,10357],{},[154,10922,10861],{"encoding":156},[120,10924,10926],{"className":10925,"ariaHidden":162},[161],[120,10927,10929,10932],{"className":10928},[166],[120,10930],{"className":10931,"style":6115},[170],[120,10933,10357],{"className":10934},[175,176]," 决定分布的中心（均值）或位置；",[120,10937,10939,10952],{"className":10938},[123],[120,10940,10942],{"className":10941},[127],[129,10943,10944],{"xmlns":131},[133,10945,10946,10950],{},[136,10947,10948],{},[139,10949,10362],{},[154,10951,10890],{"encoding":156},[120,10953,10955],{"className":10954,"ariaHidden":162},[161],[120,10956,10958,10961],{"className":10957},[166],[120,10959],{"className":10960,"style":10900},[170],[120,10962,10362],{"className":10963,"style":5677},[175,176]," 控制数据围绕 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的离散程度。",[3590,10995,202],{"id":10996},"累积分布函数cdf-3",[21,10998,10999],{},[120,11000,11002,11093],{"className":11001},[123],[120,11003,11005],{"className":11004},[127],[129,11006,11007],{"xmlns":131},[133,11008,11009,11090],{},[136,11010,11011,11013,11015,11017,11019,11021,11037,11049,11085,11088],{},[139,11012,300],{},[143,11014,146],{"stretchy":145},[139,11016,149],{},[143,11018,152],{"stretchy":145},[143,11020,358],{},[1043,11022,11023,11025],{},[360,11024,1294],{},[136,11026,11027,11029],{},[139,11028,10362],{},[10376,11030,11031],{},[136,11032,11033,11035],{},[360,11034,9849],{},[139,11036,10384],{},[660,11038,11039,11041,11047],{},[143,11040,664],{},[136,11042,11043,11045],{},[143,11044,669],{},[139,11046,673],{"mathvariant":672},[139,11048,149],{},[3621,11050,11051,11053],{},[139,11052,3629],{},[136,11054,11055,11057,11063],{},[143,11056,669],{},[1043,11058,11059,11061],{},[360,11060,1294],{},[360,11062,9849],{},[3621,11064,11065,11083],{},[136,11066,11067,11069,11081],{},[143,11068,146],{"fence":162},[1043,11070,11071,11079],{},[136,11072,11073,11075,11077],{},[139,11074,9546],{},[143,11076,669],{},[139,11078,10357],{},[139,11080,10362],{},[143,11082,152],{"fence":162},[360,11084,9849],{},[139,11086,692],{"mathvariant":11087},"double-struck",[139,11089,9546],{},[154,11091,11092],{"encoding":156},"Q(t) = \\frac{1}{\\sigma\\sqrt{2\\pi}}\\int_{- \\infty}^{t}e^{- \\frac{1}{2}\\left( \\frac{x - \\mu}{\\sigma} \\right)^{2}}\\mathbb{d}x",[120,11094,11096,11123],{"className":11095,"ariaHidden":162},[161],[120,11097,11099,11102,11105,11108,11111,11114,11117,11120],{"className":11098},[166],[120,11100],{"className":11101,"style":171},[170],[120,11103,300],{"className":11104},[175,176],[120,11106,146],{"className":11107},[181],[120,11109,149],{"className":11110},[175,176],[120,11112,152],{"className":11113},[188],[120,11115],{"className":11116,"style":399},[398],[120,11118,358],{"className":11119},[403],[120,11121],{"className":11122,"style":399},[398],[120,11124,11126,11129,11247,11250,11310,11313,11532,11535],{"className":11125},[166],[120,11127],{"className":11128,"style":10478},[170],[120,11130,11132,11135,11244],{"className":11131},[175],[120,11133],{"className":11134},[181,1113],[120,11136,11138],{"className":11137},[1043],[120,11139,11141,11236],{"className":11140},[726,727],[120,11142,11144,11233],{"className":11143},[731],[120,11145,11147,11211,11219],{"className":11146,"style":9429},[735],[120,11148,11149,11152],{"style":10499},[120,11150],{"className":11151,"style":1133},[743],[120,11153,11155],{"className":11154},[748,749,750,751],[120,11156,11158,11161],{"className":11157},[175,751],[120,11159,10362],{"className":11160,"style":5677},[175,176,751],[120,11162,11164],{"className":11163},[175,10515,751],[120,11165,11167,11203],{"className":11166},[726,727],[120,11168,11170,11200],{"className":11169},[731],[120,11171,11173,11188],{"className":11172,"style":10525},[735],[120,11174,11176,11179],{"className":11175,"style":3116},[10529],[120,11177],{"className":11178,"style":1133},[743],[120,11180,11182,11185],{"className":11181,"style":10536},[175,751],[120,11183,9849],{"className":11184},[175,751],[120,11186,10384],{"className":11187,"style":5677},[175,176,751],[120,11189,11190,11193],{"style":10545},[120,11191],{"className":11192,"style":1133},[743],[120,11194,11196],{"className":11195,"style":10553},[10552,751],[10555,11197,11198],{"xmlns":10557,"width":10558,"height":10559,"viewBox":10560,"preserveAspectRatio":10561},[10563,11199],{"d":10565},[120,11201,762],{"className":11202},[761],[120,11204,11206],{"className":11205},[731],[120,11207,11209],{"className":11208,"style":10575},[735],[120,11210],{},[120,11212,11213,11216],{"style":1148},[120,11214],{"className":11215,"style":1133},[743],[120,11217],{"className":11218,"style":1156},[1155],[120,11220,11221,11224],{"style":1879},[120,11222],{"className":11223,"style":1133},[743],[120,11225,11227],{"className":11226},[748,749,750,751],[120,11228,11230],{"className":11229},[175,751],[120,11231,1294],{"className":11232},[175,751],[120,11234,762],{"className":11235},[761],[120,11237,11239],{"className":11238},[731],[120,11240,11242],{"className":11241,"style":10609},[735],[120,11243],{},[120,11245],{"className":11246},[188,1113],[120,11248],{"className":11249,"style":993},[398],[120,11251,11253,11256],{"className":11252},[879],[120,11254,664],{"className":11255,"style":885},[879,883,884],[120,11257,11259],{"className":11258},[722],[120,11260,11262,11302],{"className":11261},[726,727],[120,11263,11265,11299],{"className":11264},[731],[120,11266,11268,11285],{"className":11267,"style":898},[735],[120,11269,11270,11273],{"style":901},[120,11271],{"className":11272,"style":744},[743],[120,11274,11276],{"className":11275},[748,749,750,751],[120,11277,11279,11282],{"className":11278},[175,751],[120,11280,669],{"className":11281},[175,751],[120,11283,673],{"className":11284},[175,751],[120,11286,11287,11290],{"style":919},[120,11288],{"className":11289,"style":744},[743],[120,11291,11293],{"className":11292},[748,749,750,751],[120,11294,11296],{"className":11295},[175,751],[120,11297,149],{"className":11298},[175,176,751],[120,11300,762],{"className":11301},[761],[120,11303,11305],{"className":11304},[731],[120,11306,11308],{"className":11307,"style":987},[735],[120,11309],{},[120,11311],{"className":11312,"style":993},[398],[120,11314,11316,11319],{"className":11315},[175],[120,11317,3629],{"className":11318},[175,176],[120,11320,11322],{"className":11321},[722],[120,11323,11325],{"className":11324},[726],[120,11326,11328],{"className":11327},[731],[120,11329,11331],{"className":11330,"style":10633},[735],[120,11332,11333,11336],{"style":10636},[120,11334],{"className":11335,"style":1133},[743],[120,11337,11339],{"className":11338},[748,749,750,751],[120,11340,11342,11345,11413],{"className":11341},[175,751],[120,11343,669],{"className":11344},[175,751],[120,11346,11348,11351,11410],{"className":11347},[175,751],[120,11349],{"className":11350},[181,1113,748,958,5941],[120,11352,11354],{"className":11353},[1043],[120,11355,11357,11402],{"className":11356},[726,727],[120,11358,11360,11399],{"className":11359},[731],[120,11361,11363,11377,11385],{"className":11362,"style":10269},[735],[120,11364,11365,11368],{"style":5967},[120,11366],{"className":11367,"style":1133},[743],[120,11369,11371],{"className":11370},[748,958,959,751],[120,11372,11374],{"className":11373},[175,751],[120,11375,9849],{"className":11376},[175,751],[120,11378,11379,11382],{"style":5982},[120,11380],{"className":11381,"style":1133},[743],[120,11383],{"className":11384,"style":5989},[1155,751],[120,11386,11387,11390],{"style":5992},[120,11388],{"className":11389,"style":1133},[743],[120,11391,11393],{"className":11392},[748,958,959,751],[120,11394,11396],{"className":11395},[175,751],[120,11397,1294],{"className":11398},[175,751],[120,11400,762],{"className":11401},[761],[120,11403,11405],{"className":11404},[731],[120,11406,11408],{"className":11407,"style":10712},[735],[120,11409],{},[120,11411],{"className":11412},[188,1113,748,958,5941],[120,11414,11416,11506],{"className":11415},[2781,751],[120,11417,11419,11425,11500],{"className":11418},[2781,751],[120,11420,11422],{"className":11421,"style":5942},[181,748,958,5941,751,2785],[120,11423,146],{"className":11424},[751],[120,11426,11428,11431,11497],{"className":11427},[175,751],[120,11429],{"className":11430},[181,1113,748,958,5941],[120,11432,11434],{"className":11433},[1043],[120,11435,11437,11489],{"className":11436},[726,727],[120,11438,11440,11486],{"className":11439},[731],[120,11441,11444,11458,11466],{"className":11442,"style":11443},[735],"height:0.879em;",[120,11445,11446,11449],{"style":5967},[120,11447],{"className":11448,"style":1133},[743],[120,11450,11452],{"className":11451},[748,958,959,751],[120,11453,11455],{"className":11454},[175,751],[120,11456,10362],{"className":11457,"style":5677},[175,176,751],[120,11459,11460,11463],{"style":5982},[120,11461],{"className":11462,"style":1133},[743],[120,11464],{"className":11465,"style":5989},[1155,751],[120,11467,11468,11471],{"style":10773},[120,11469],{"className":11470,"style":1133},[743],[120,11472,11474],{"className":11473},[748,958,959,751],[120,11475,11477,11480,11483],{"className":11476},[175,751],[120,11478,9546],{"className":11479},[175,176,751],[120,11481,669],{"className":11482},[1356,751],[120,11484,10357],{"className":11485},[175,176,751],[120,11487,762],{"className":11488},[761],[120,11490,11492],{"className":11491},[731],[120,11493,11495],{"className":11494,"style":10712},[735],[120,11496],{},[120,11498],{"className":11499},[188,1113,748,958,5941],[120,11501,11503],{"className":11502,"style":5942},[188,748,958,5941,751,2785],[120,11504,152],{"className":11505},[751],[120,11507,11509],{"className":11508},[722],[120,11510,11512],{"className":11511},[726],[120,11513,11515],{"className":11514},[731],[120,11516,11518],{"className":11517,"style":10824},[735],[120,11519,11520,11523],{"style":6041},[120,11521],{"className":11522,"style":954},[743],[120,11524,11526],{"className":11525},[748,958,959,751],[120,11527,11529],{"className":11528},[175,751],[120,11530,9849],{"className":11531},[175,751],[120,11533,692],{"className":11534},[175,176],[120,11536,9546],{"className":11537},[175,176],[21,11539,11540],{},"正态 CDF 也可以用标准正态 CDF 表示：",[21,11542,11543],{},[120,11544,11546,11589],{"className":11545},[123],[120,11547,11549],{"className":11548},[127],[129,11550,11551],{"xmlns":131},[133,11552,11553,11586],{},[136,11554,11555,11557,11559,11561,11563,11565,11568],{},[139,11556,300],{},[143,11558,146],{"stretchy":145},[139,11560,149],{},[143,11562,152],{"stretchy":145},[143,11564,358],{},[139,11566,11567],{"mathvariant":672},"Φ",[136,11569,11570,11572,11584],{},[143,11571,146],{"fence":162},[1043,11573,11574,11582],{},[136,11575,11576,11578,11580],{},[139,11577,149],{},[143,11579,669],{},[139,11581,10357],{},[139,11583,10362],{},[143,11585,152],{"fence":162},[154,11587,11588],{"encoding":156},"Q(t) = \\Phi\\left( \\frac{t - \\mu}{\\sigma} \\right)",[120,11590,11592,11619],{"className":11591,"ariaHidden":162},[161],[120,11593,11595,11598,11601,11604,11607,11610,11613,11616],{"className":11594},[166],[120,11596],{"className":11597,"style":171},[170],[120,11599,300],{"className":11600},[175,176],[120,11602,146],{"className":11603},[181],[120,11605,149],{"className":11606},[175,176],[120,11608,152],{"className":11609},[188],[120,11611],{"className":11612,"style":399},[398],[120,11614,358],{"className":11615},[403],[120,11617],{"className":11618,"style":399},[398],[120,11620,11622,11626,11629,11632],{"className":11621},[166],[120,11623],{"className":11624,"style":11625},[170],"height:1.2267em;vertical-align:-0.35em;",[120,11627,11567],{"className":11628},[175],[120,11630],{"className":11631,"style":993},[398],[120,11633,11635,11641,11716],{"className":11634},[2781],[120,11636,11638],{"className":11637,"style":2786},[181,2785],[120,11639,146],{"className":11640},[2790,959],[120,11642,11644,11647,11713],{"className":11643},[175],[120,11645],{"className":11646},[181,1113],[120,11648,11650],{"className":11649},[1043],[120,11651,11653,11705],{"className":11652},[726,727],[120,11654,11656,11702],{"className":11655},[731],[120,11657,11660,11674,11682],{"className":11658,"style":11659},[735],"height:0.8767em;",[120,11661,11662,11665],{"style":1129},[120,11663],{"className":11664,"style":1133},[743],[120,11666,11668],{"className":11667},[748,749,750,751],[120,11669,11671],{"className":11670},[175,751],[120,11672,10362],{"className":11673,"style":5677},[175,176,751],[120,11675,11676,11679],{"style":1148},[120,11677],{"className":11678,"style":1133},[743],[120,11680],{"className":11681,"style":1156},[1155],[120,11683,11684,11687],{"style":5740},[120,11685],{"className":11686,"style":1133},[743],[120,11688,11690],{"className":11689},[748,749,750,751],[120,11691,11693,11696,11699],{"className":11692},[175,751],[120,11694,149],{"className":11695},[175,176,751],[120,11697,669],{"className":11698},[1356,751],[120,11700,10357],{"className":11701},[175,176,751],[120,11703,762],{"className":11704},[761],[120,11706,11708],{"className":11707},[731],[120,11709,11711],{"className":11710,"style":1197},[735],[120,11712],{},[120,11714],{"className":11715},[188,1113],[120,11717,11719],{"className":11718,"style":2786},[188,2785],[120,11720,152],{"className":11721},[2790,959],[21,11723,2344,11724,11768],{},[120,11725,11727,11747],{"className":11726},[123],[120,11728,11730],{"className":11729},[127],[129,11731,11732],{"xmlns":131},[133,11733,11734,11744],{},[136,11735,11736,11738,11740,11742],{},[139,11737,11567],{"mathvariant":672},[143,11739,146],{"stretchy":145},[143,11741,1693],{},[143,11743,152],{"stretchy":145},[154,11745,11746],{"encoding":156},"\\Phi(\\bullet)",[120,11748,11750],{"className":11749,"ariaHidden":162},[161],[120,11751,11753,11756,11759,11762,11765],{"className":11752},[166],[120,11754],{"className":11755,"style":171},[170],[120,11757,11567],{"className":11758},[175],[120,11760,146],{"className":11761},[181],[120,11763,1693],{"className":11764},[175],[120,11766,152],{"className":11767},[188]," 为标准正态 CDF。",[62,11770],{"src":11771,"alt":11772,"width":3532},"/media/image19.png","mu 和 sigma 对正态分布 CDF 的影响",[21,11774,11775,6088,11803,11831],{},[120,11776,11778,11791],{"className":11777},[123],[120,11779,11781],{"className":11780},[127],[129,11782,11783],{"xmlns":131},[133,11784,11785,11789],{},[136,11786,11787],{},[139,11788,10357],{},[154,11790,10861],{"encoding":156},[120,11792,11794],{"className":11793,"ariaHidden":162},[161],[120,11795,11797,11800],{"className":11796},[166],[120,11798],{"className":11799,"style":6115},[170],[120,11801,10357],{"className":11802},[175,176],[120,11804,11806,11819],{"className":11805},[123],[120,11807,11809],{"className":11808},[127],[129,11810,11811],{"xmlns":131},[133,11812,11813,11817],{},[136,11814,11815],{},[139,11816,10362],{},[154,11818,10890],{"encoding":156},[120,11820,11822],{"className":11821,"ariaHidden":162},[161],[120,11823,11825,11828],{"className":11824},[166],[120,11826],{"className":11827,"style":10900},[170],[120,11829,10362],{"className":11830,"style":5677},[175,176]," 对正态分布 CDF 的影响",[3590,11833,4278],{"id":11834},"失效率函数-2",[21,11836,11837],{},"正态分布的失效率为：",[21,11839,11840],{},[120,11841,11843,11887],{"className":11842},[123],[120,11844,11846],{"className":11845},[127],[129,11847,11848],{"xmlns":131},[133,11849,11850,11884],{},[136,11851,11852,11854,11856,11858,11860,11862],{},[139,11853,1442],{},[143,11855,146],{"stretchy":145},[139,11857,149],{},[143,11859,152],{"stretchy":145},[143,11861,358],{},[1043,11863,11864,11874],{},[136,11865,11866,11868,11870,11872],{},[139,11867,141],{},[143,11869,146],{"stretchy":145},[139,11871,149],{},[143,11873,152],{"stretchy":145},[136,11875,11876,11878,11880,11882],{},[139,11877,1283],{},[143,11879,146],{"stretchy":145},[139,11881,149],{},[143,11883,152],{"stretchy":145},[154,11885,11886],{"encoding":156},"\\lambda(t) = \\frac{f(t)}{R(t)}",[120,11888,11890,11917],{"className":11889,"ariaHidden":162},[161],[120,11891,11893,11896,11899,11902,11905,11908,11911,11914],{"className":11892},[166],[120,11894],{"className":11895,"style":171},[170],[120,11897,1442],{"className":11898},[175,176],[120,11900,146],{"className":11901},[181],[120,11903,149],{"className":11904},[175,176],[120,11906,152],{"className":11907},[188],[120,11909],{"className":11910,"style":399},[398],[120,11912,358],{"className":11913},[403],[120,11915],{"className":11916,"style":399},[398],[120,11918,11920,11923],{"className":11919},[166],[120,11921],{"className":11922,"style":7270},[170],[120,11924,11926,11929,12006],{"className":11925},[175],[120,11927],{"className":11928},[181,1113],[120,11930,11932],{"className":11931},[1043],[120,11933,11935,11998],{"className":11934},[726,727],[120,11936,11938,11995],{"className":11937},[731],[120,11939,11941,11964,11972],{"className":11940,"style":1126},[735],[120,11942,11943,11946],{"style":1129},[120,11944],{"className":11945,"style":1133},[743],[120,11947,11949],{"className":11948},[748,749,750,751],[120,11950,11952,11955,11958,11961],{"className":11951},[175,751],[120,11953,1283],{"className":11954,"style":1320},[175,176,751],[120,11956,146],{"className":11957},[181,751],[120,11959,149],{"className":11960},[175,176,751],[120,11962,152],{"className":11963},[188,751],[120,11965,11966,11969],{"style":1148},[120,11967],{"className":11968,"style":1133},[743],[120,11970],{"className":11971,"style":1156},[1155],[120,11973,11974,11977],{"style":1159},[120,11975],{"className":11976,"style":1133},[743],[120,11978,11980],{"className":11979},[748,749,750,751],[120,11981,11983,11986,11989,11992],{"className":11982},[175,751],[120,11984,141],{"className":11985,"style":177},[175,176,751],[120,11987,146],{"className":11988},[181,751],[120,11990,149],{"className":11991},[175,176,751],[120,11993,152],{"className":11994},[188,751],[120,11996,762],{"className":11997},[761],[120,11999,12001],{"className":12000},[731],[120,12002,12004],{"className":12003,"style":1904},[735],[120,12005],{},[120,12007],{"className":12008},[188,1113],[21,12010,9500],{},[21,12012,12013],{},[120,12014,12016,12090],{"className":12015},[123],[120,12017,12019],{"className":12018},[127],[129,12020,12021],{"xmlns":131},[133,12022,12023,12087],{},[136,12024,12025,12027,12029,12031,12033,12035,12051],{},[139,12026,141],{},[143,12028,146],{"stretchy":145},[139,12030,149],{},[143,12032,152],{"stretchy":145},[143,12034,358],{},[1043,12036,12037,12039],{},[360,12038,1294],{},[136,12040,12041,12043],{},[139,12042,10362],{},[10376,12044,12045],{},[136,12046,12047,12049],{},[360,12048,9849],{},[139,12050,10384],{},[3621,12052,12053,12055],{},[139,12054,3629],{},[136,12056,12057,12059,12065],{},[143,12058,669],{},[1043,12060,12061,12063],{},[360,12062,1294],{},[360,12064,9849],{},[3621,12066,12067,12085],{},[136,12068,12069,12071,12083],{},[143,12070,146],{"fence":162},[1043,12072,12073,12081],{},[136,12074,12075,12077,12079],{},[139,12076,149],{},[143,12078,669],{},[139,12080,10357],{},[139,12082,10362],{},[143,12084,152],{"fence":162},[360,12086,9849],{},[154,12088,12089],{"encoding":156},"f(t) = \\frac{1}{\\sigma\\sqrt{2\\pi}}e^{- \\frac{1}{2}\\left( \\frac{t - \\mu}{\\sigma} 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\\mu",[120,13094,13096,13142,13188],{"className":13095,"ariaHidden":162},[161],[120,13097,13099,13102,13133,13136,13139],{"className":13098},[166],[120,13100],{"className":13101,"style":3100},[170],[120,13103,13105],{"className":13104},[175,3104],[120,13106,13108],{"className":13107},[726],[120,13109,13111],{"className":13110},[731],[120,13112,13114,13125],{"className":13113,"style":3100},[735],[120,13115,13116,13119],{"style":3116},[120,13117],{"className":13118,"style":1133},[743],[120,13120,13122],{"className":13121},[175],[120,13123,2523],{"className":13124,"style":275},[175,176],[120,13126,13127,13130],{"style":3128},[120,13128],{"className":13129,"style":1133},[743],[120,13131],{"className":13132,"style":1156},[3135],[120,13134],{"className":13135,"style":399},[398],[120,13137,358],{"className":13138},[403],[120,13140],{"className":13141,"style":399},[398],[120,13143,13145,13148,13179,13182,13185],{"className":13144},[166],[120,13146],{"className":13147,"style":3374},[170],[120,13149,13151],{"className":13150},[175,3378],[120,13152,13154],{"className":13153},[726],[120,13155,13157],{"className":13156},[731],[120,13158,13160,13168],{"className":13159,"style":3374},[735],[120,13161,13162,13165],{"style":3116},[120,13163],{"className":13164,"style":1133},[743],[120,13166,2523],{"className":13167,"style":275},[175,176],[120,13169,13170,13173],{"style":3398},[120,13171],{"className":13172,"style":1133},[743],[120,13174,13176],{"className":13175,"style":3406},[3405],[120,13177,3361],{"className":13178},[175],[120,13180],{"className":13181,"style":399},[398],[120,13183,358],{"className":13184},[403],[120,13186],{"className":13187,"style":399},[398],[120,13189,13191,13194],{"className":13190},[166],[120,13192],{"className":13193,"style":6115},[170],[120,13195,10357],{"className":13196},[175,176],[31,13198,13200],{"id":13199},"对数正态分布μσ","对数正态分布（μ'，σ'）",[21,13202,13203],{},"对数正态分布用于描述其对数值服从正态分布的失效时间。它特别适用于失效机理由疲劳、腐蚀或化学分解等损伤或退化逐步累积所驱动的产品或系统。对数正态模型为右偏分布：多数单元在某一时间附近失效，但少数单元可以运行得更久。其特征是初始失效率较低，随后随时间上升，适合描述失效时间变异较大的磨损行为。",[3590,13205,57],{"id":13206},"概率密度函数pdf-4",[21,13208,13209],{},"对数正态分布的 PDF 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= \\frac{1}{{t \\bullet \\sigma}'\\sqrt{2\\pi}}e^{- \\frac{1}{2}\\left( \\frac{ln(t) - \\mu'}{\\sigma'} \\right)^{2}\\text{~}}",[120,13321,13323,13350],{"className":13322,"ariaHidden":162},[161],[120,13324,13326,13329,13332,13335,13338,13341,13344,13347],{"className":13325},[166],[120,13327],{"className":13328,"style":171},[170],[120,13330,141],{"className":13331,"style":177},[175,176],[120,13333,146],{"className":13334},[181],[120,13336,149],{"className":13337},[175,176],[120,13339,152],{"className":13340},[188],[120,13342],{"className":13343,"style":399},[398],[120,13345,358],{"className":13346},[403],[120,13348],{"className":13349,"style":399},[398],[120,13351,13353,13357,13515],{"className":13352},[166],[120,13354],{"className":13355,"style":13356},[170],"height:1.9547em;vertical-align:-0.538em;",[120,13358,13360,13363,13512],{"className":13359},[175],[120,13361],{"className":13362},[181,1113],[120,13364,13366],{"className":13365},[1043],[120,13367,13369,13504],{"className":13368},[726,727],[120,13370,13372,13501],{"className":13371},[731],[120,13373,13375,13479,13487],{"className":13374,"style":9429},[735],[120,13376,13377,13380],{"style":10499},[120,13378],{"className":13379,"style":1133},[743],[120,13381,13383],{"className":13382},[748,749,750,751],[120,13384,13386,13429],{"className":13385},[175,751],[120,13387,13389,13401],{"className":13388},[175,751],[120,13390,13392,13395,13398],{"className":13391},[175,751],[120,13393,149],{"className":13394},[175,176,751],[120,13396,1693],{"className":13397},[1356,751],[120,13399,10362],{"className":13400,"style":5677},[175,176,751],[120,13402,13404],{"className":13403},[722],[120,13405,13407],{"className":13406},[726],[120,13408,13410],{"className":13409},[731],[120,13411,13414],{"className":13412,"style":13413},[735],"height:0.6828em;",[120,13415,13417,13420],{"style":13416},"top:-2.786em;margin-right:0.0714em;",[120,13418],{"className":13419,"style":954},[743],[120,13421,13423],{"className":13422},[748,958,959,751],[120,13424,13426],{"className":13425},[175,751],[120,13427,13253],{"className":13428},[175,751],[120,13430,13432],{"className":13431},[175,10515,751],[120,13433,13435,13471],{"className":13434},[726,727],[120,13436,13438,13468],{"className":13437},[731],[120,13439,13441,13456],{"className":13440,"style":10525},[735],[120,13442,13444,13447],{"className":13443,"style":3116},[10529],[120,13445],{"className":13446,"style":1133},[743],[120,13448,13450,13453],{"className":13449,"style":10536},[175,751],[120,13451,9849],{"className":13452},[175,751],[120,13454,10384],{"className":13455,"style":5677},[175,176,751],[120,13457,13458,13461],{"style":10545},[120,13459],{"className":13460,"style":1133},[743],[120,13462,13464],{"className":13463,"style":10553},[10552,751],[10555,13465,13466],{"xmlns":10557,"width":10558,"height":10559,"viewBox":10560,"preserveAspectRatio":10561},[10563,13467],{"d":10565},[120,13469,762],{"className":13470},[761],[120,13472,13474],{"className":13473},[731],[120,13475,13477],{"className":13476,"style":10575},[735],[120,13478],{},[120,13480,13481,13484],{"style":1148},[120,13482],{"className":13483,"style":1133},[743],[120,13485],{"className":13486,"style":1156},[1155],[120,13488,13489,13492],{"style":1879},[120,13490],{"className":13491,"style":1133},[743],[120,13493,13495],{"className":13494},[748,749,750,751],[120,13496,13498],{"className":13497},[175,751],[120,13499,1294],{"className":13500},[175,751],[120,13502,762],{"className":13503},[761],[120,13505,13507],{"className":13506},[731],[120,13508,13510],{"className":13509,"style":10609},[735],[120,13511],{},[120,13513],{"className":13514},[188,1113],[120,13516,13518,13521],{"className":13517},[175],[120,13519,3629],{"className":13520},[175,176],[120,13522,13524],{"className":13523},[722],[120,13525,13527],{"className":13526},[726],[120,13528,13530],{"className":13529},[731],[120,13531,13534],{"className":13532,"style":13533},[735],"height:1.4167em;",[120,13535,13536,13539],{"style":9976},[120,13537],{"className":13538,"style":1133},[743],[120,13540,13542],{"className":13541},[748,749,750,751],[120,13543,13545,13548,13616,13816],{"className":13544},[175,751],[120,13546,669],{"className":13547},[175,751],[120,13549,13551,13554,13613],{"className":13550},[175,751],[120,13552],{"className":13553},[181,1113,748,958,5941],[120,13555,13557],{"className":13556},[1043],[120,13558,13560,13605],{"className":13559},[726,727],[120,13561,13563,13602],{"className":13562},[731],[120,13564,13566,13580,13588],{"className":13565,"style":10269},[735],[120,13567,13568,13571],{"style":5967},[120,13569],{"className":13570,"style":1133},[743],[120,13572,13574],{"className":13573},[748,958,959,751],[120,13575,13577],{"className":13576},[175,751],[120,13578,9849],{"className":13579},[175,751],[120,13581,13582,13585],{"style":5982},[120,13583],{"className":13584,"style":1133},[743],[120,13586],{"className":13587,"style":5989},[1155,751],[120,13589,13590,13593],{"style":5992},[120,13591],{"className":13592,"style":1133},[743],[120,13594,13596],{"className":13595},[748,958,959,751],[120,13597,13599],{"clas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的自然对数均值（对数位置参数）。",[103,13922,13923,6200,13985,14013],{},[120,13924,13926,13944],{"className":13925},[123],[120,13927,13929],{"className":13928},[127],[129,13930,13931],{"xmlns":131},[133,13932,13933,13941],{},[136,13934,13935],{},[3621,13936,13937,13939],{},[139,13938,10362],{},[143,13940,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,13942,13943],{"encoding":156},"\\sigma'",[120,13945,13947],{"className":13946,"ariaHidden":162},[161],[120,13948,13950,13953],{"className":13949},[166],[120,13951],{"className":13952,"style":13877},[170],[120,13954,13956,13959],{"className":13955},[175],[120,13957,10362],{"className":13958,"style":5677},[175,176],[120,13960,13962],{"className":13961},[722],[120,13963,13965],{"className":13964},[726],[120,13966,13968],{"className":13967},[731],[120,13969,13971],{"className":13970,"style":13877},[735],[120,13972,13973,13976],{"style":9686},[120,13974],{"className":13975,"style":744},[743],[120,13977,13979],{"className":13978},[748,749,750,751],[120,13980,13982],{"className":13981},[175,751],[120,13983,13253],{"className":13984},[175,751],[120,13986,13988,14001],{"className":13987},[123],[120,13989,13991],{"className":13990},[127],[129,13992,13993],{"xmlns":131},[133,13994,13995,13999],{},[136,13996,13997],{},[139,13998,149],{},[154,14000,149],{"encoding":156},[120,14002,14004],{"className":14003,"ariaHidden":162},[161],[120,14005,14007,14010],{"className":14006},[166],[120,14008],{"className":14009,"style":231},[170],[120,14011,149],{"className":14012},[175,176]," 的自然对数标准差（对数尺度参数）。",[62,14015],{"src":14016,"alt":14017,"width":77},"/media/image20.png","sigma 对对数正态分布 PDF 的影响",[21,14019,14020,14081],{},[120,14021,14023,14040],{"className":14022},[123],[120,14024,14026],{"className":14025},[127],[129,14027,14028],{"xmlns":131},[133,14029,14030,14038],{},[136,14031,14032],{},[3621,14033,14034,14036],{},[139,14035,10362],{},[143,14037,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14039,13943],{"encoding":156},[120,14041,14043],{"className":14042,"ariaHidden":162},[161],[120,14044,14046,14049],{"className":14045},[166],[120,14047],{"className":14048,"style":13877},[170],[120,14050,14052,14055],{"className":14051},[175],[120,14053,10362],{"className":14054,"style":5677},[175,176],[120,14056,14058],{"className":14057},[722],[120,14059,14061],{"className":14060},[726],[120,14062,14064],{"className":14063},[731],[120,14065,14067],{"className":14066,"style":13877},[735],[120,14068,14069,14072],{"style":9686},[120,14070],{"className":14071,"style":744},[743],[120,14073,14075],{"className":14074},[748,749,750,751],[120,14076,14078],{"className":14077},[175,751],[120,14079,13253],{"className":14080},[175,751]," 对对数正态分布 PDF 的影响",[21,14083,14084,14145,14146,14207,14208,14269],{},[120,14085,14087,14104],{"className":14086},[123],[120,14088,14090],{"className":14089},[127],[129,14091,14092],{"xmlns":131},[133,14093,14094,14102],{},[136,14095,14096],{},[3621,14097,14098,14100],{},[139,14099,10362],{},[143,14101,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14103,13943],{"encoding":156},[120,14105,14107],{"className":14106,"ariaHidden":162},[161],[120,14108,14110,14113],{"className":14109},[166],[120,14111],{"className":14112,"style":13877},[170],[120,14114,14116,14119],{"className":14115},[175],[120,14117,10362],{"className":14118,"style":5677},[175,176],[120,14120,14122],{"className":14121},[722],[120,14123,14125],{"className":14124},[726],[120,14126,14128],{"className":14127},[731],[120,14129,14131],{"className":14130,"style":13877},[735],[120,14132,14133,14136],{"style":9686},[120,14134],{"className":14135,"style":744},[743],[120,14137,14139],{"className":14138},[748,749,750,751],[120,14140,14142],{"className":14141},[175,751],[120,14143,13253],{"className":14144},[175,751]," 控制分布的离散程度和偏度。较大的 ",[120,14147,14149,14166],{"className":14148},[123],[120,14150,14152],{"className":14151},[127],[129,14153,14154],{"xmlns":131},[133,14155,14156,14164],{},[136,14157,14158],{},[3621,14159,14160,14162],{},[139,14161,10362],{},[143,14163,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14165,13943],{"encoding":156},[120,14167,14169],{"className":14168,"ariaHidden":162},[161],[120,14170,14172,14175],{"className":14171},[166],[120,14173],{"className":14174,"style":13877},[170],[120,14176,14178,14181],{"className":14177},[175],[120,14179,10362],{"className":14180,"style":5677},[175,176],[120,14182,14184],{"className":14183},[722],[120,14185,14187],{"className":14186},[726],[120,14188,14190],{"className":14189},[731],[120,14191,14193],{"className":14192,"style":13877},[735],[120,14194,14195,14198],{"style":9686},[120,14196],{"className":14197,"style":744},[743],[120,14199,14201],{"className":14200},[748,749,750,751],[120,14202,14204],{"className":14203},[175,751],[120,14205,13253],{"className":14206},[175,751]," 使曲线更平、更宽，表示出现很长寿命的可能性更高；较小的 ",[120,14209,14211,14228],{"className":14210},[123],[120,14212,14214],{"className":14213},[127],[129,14215,14216],{"xmlns":131},[133,14217,14218,14226],{},[136,14219,14220],{},[3621,14221,14222,14224],{},[139,14223,10362],{},[143,14225,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14227,13943],{"encoding":156},[120,14229,14231],{"className":14230,"ariaHidden":162},[161],[120,14232,14234,14237],{"className":14233},[166],[120,14235],{"className":14236,"style":13877},[170],[120,14238,14240,14243],{"className":14239},[175],[120,14241,10362],{"className":14242,"style":5677},[175,176],[120,14244,14246],{"className":14245},[722],[120,14247,14249],{"className":14248},[726],[120,14250,14252],{"className":14251},[731],[120,14253,14255],{"className":14254,"style":13877},[735],[120,14256,14257,14260],{"style":9686},[120,14258],{"className":14259,"style":744},[743],[120,14261,14263],{"className":14262},[748,749,750,751],[120,14264,14266],{"className":14265},[175,751],[120,14267,13253],{"className":14268},[175,751],"（小于 1）使曲线更窄、更高，表示失效更集中在中位寿命附近。",[62,14271],{"src":14272,"alt":14273,"width":77},"/media/image21.png","mu 对对数正态分布 PDF 的影响",[21,14275,14276,14081],{},[120,14277,14279,14296],{"className":14278},[123],[120,14280,14282],{"className":14281},[127],[129,14283,14284],{"xmlns":131},[133,14285,14286,14294],{},[136,14287,14288],{},[3621,14289,14290,14292],{},[139,14291,10357],{},[143,14293,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14295,13848],{"encoding":156},[120,14297,14299],{"className":14298,"ariaHidden":162},[161],[120,14300,14302,14305],{"className":14301},[166],[120,14303],{"className":14304,"style":13858},[170],[120,14306,14308,14311],{"className":14307},[175],[120,14309,10357],{"className":14310},[175,176],[120,14312,14314],{"className":14313},[722],[120,14315,14317],{"className":14316},[726],[120,14318,14320],{"className":14319},[731],[120,14321,14323],{"className":14322,"style":13877},[735],[120,14324,14325,14328],{"style":9686},[120,14326],{"className":14327,"style":744},[743],[120,14329,14331],{"className":14330},[748,749,750,751],[120,14332,14334],{"className":14333},[175,751],[120,14335,13253],{"className":14336},[175,751],[21,14338,14339,14400],{},[120,14340,14342,14359],{"className":14341},[123],[120,14343,14345],{"className":14344},[127],[129,14346,14347],{"xmlns":131},[133,14348,14349,14357],{},[136,14350,14351],{},[3621,14352,14353,14355],{},[139,14354,10357],{},[143,14356,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,14358,13848],{"encoding":156},[120,14360,14362],{"className":14361,"ariaHidden":162},[161],[120,14363,14365,14368],{"className":14364},[166],[120,14366],{"className":14367,"style":13858},[170],[120,14369,14371,14374],{"className":14370},[175],[120,14372,10357],{"className":14373},[175,176],[120,14375,14377],{"className":14376},[722],[120,14378,14380],{"className":14379},[726],[120,14381,14383],{"className":14382},[731],[120,14384,14386],{"className":14385,"style":13877},[735],[120,14387,14388,14391],{"style":9686},[120,14389],{"className":14390,"style":744},[743],[120,14392,14394],{"className":14393},[748,749,750,751],[120,14395,14397],{"className":14396},[175,751],[120,14398,13253],{"className":14399},[175,751]," 控制 PDF 的水平位置（时间尺度），但不改变曲线形状。",[3590,14402,202],{"id":14403},"累积分布函数cdf-4",[21,14405,14406],{},[120,14407,14409,14521],{"className":14408},[123],[120,14410,14412],{"className":14411},[127],[129,14413,14414],{"xmlns":131},[133,14415,14416,14518],{},[136,14417,14418,14420,14422,14424,14426,14428,14450,14458],{},[139,14419,300],{},[143,14421,146],{"stretchy":145},[139,14423,149],{},[143,14425,152],{"stretchy":145},[143,14427,358],{},[1043,14429,14430,14432],{},[360,14431,1294],{},[136,14433,14434,14436,14442],{},[139,14435,149],{},[3621,14437,14438,14440],{},[139,14439,10362],{},[143,14441,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[10376,14443,14444],{},[136,14445,14446,14448],{},[360,14447,9849],{},[139,14449,10384],{},[660,14451,14452,14454,14456],{},[143,14453,664],{},[360,14455,523],{},[139,14457,149],{},[136,14459,14460,14514,14516],{},[3621,14461,14462,14464],{},[139,14463,3629],{},[136,14465,14466,14468,14474,14512],{},[143,14467,669],{},[1043,14469,14470,14472],{},[360,14471,1294],{},[360,14473,9849],{},[3621,14475,14476,14510],{},[136,14477,14478,14480,14508],{},[143,14479,146],{"fence":162},[1043,14481,14482,14502],{},[136,14483,14484,14486,14488,14490,14492,14494,14496],{},[139,14485,13288],{},[139,14487,9521],{},[143,14489,146],{"stretchy":145},[139,14491,3838],{},[143,14493,152],{"stretchy":145},[143,14495,669],{},[3621,14497,14498,14500],{},[139,14499,10357],{},[143,14501,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,14503,14504,14506],{},[139,14505,10362],{},[143,14507,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,14509,152],{"fence":162},[360,14511,9849],{},[364,14513,423],{},[139,14515,692],{},[139,14517,3838],{},[154,14519,14520],{"encoding":156},"Q(t) = \\frac{1}{t\\sigma'\\sqrt{2\\pi}}\\int_{0}^{t}{e^{- \\frac{1}{2}\\left( \\frac{ln(s) - \\mu'}{\\sigma'} \\right)^{2}\\text{~}}ds}",[120,14522,14524,14551],{"className":14523,"ariaHidden":162},[161],[120,14525,14527,14530,14533,14536,14539,14542,14545,14548],{"className":14526},[166],[120,14528],{"className":14529,"style":171},[170],[120,14531,300],{"className":14532},[175,176],[120,14534,146],{"className":14535},[181],[120,14537,149],{"className":14538},[175,176],[120,14540,152],{"className":14541},[188],[120,14543],{"className":14544,"style":399},[398],[120,14546,358],{"className":14547},[403],[120,14549],{"className":14550,"style":399},[398],[120,14552,14554,14557,14707,14710,14767,14770],{"className":14553},[166],[120,14555],{"className":14556,"style":13356},[170],[120,14558,14560,14563,14704],{"className":14559},[175],[120,14561],{"className":14562},[181,1113],[120,14564,14566],{"className":14565},[1043],[120,14567,14569,14696],{"className":14568},[726,727],[120,14570,14572,14693],{"className":14571},[731],[120,14573,14575,14671,14679],{"className":14574,"style":9429},[735],[120,14576,14577,14580],{"style":10499},[120,14578],{"className":14579,"style":1133},[743],[120,14581,14583],{"className":14582},[748,749,750,751],[120,14584,14586,14589,14621],{"className":14585},[175,751],[120,14587,149],{"className":14588},[175,176,751],[120,14590,14592,14595],{"className":14591},[175,751],[120,14593,10362],{"className":14594,"style":5677},[175,176,751],[120,14596,14598],{"className":14597},[722],[120,14599,14601],{"className":14600},[726],[120,14602,14604],{"className":14603},[731],[120,14605,14607],{"className":14606,"style":13413},[735],[120,14608,14609,14612],{"style":13416},[120,14610],{"className":14611,"style":954},[743],[120,14613,14615],{"className":14614},[748,958,959,751],[120,14616,14618],{"className":14617},[175,751],[120,14619,13253],{"className":14620},[175,751],[120,14622,14624],{"className":14623},[175,10515,751],[120,14625,14627,14663],{"className":14626},[726,727],[120,14628,14630,14660],{"className":14629},[731],[120,14631,14633,14648],{"className":14632,"style":10525},[735],[120,14634,14636,14639],{"className":14635,"style":3116},[10529],[120,14637],{"className":14638,"style":1133},[743],[120,14640,14642,14645],{"className":14641,"style":10536},[175,751],[120,14643,9849],{"className":14644},[175,751],[120,14646,10384],{"className":14647,"style":5677},[175,176,751],[120,14649,14650,14653],{"style":10545},[120,14651],{"className":14652,"style":1133},[743],[120,14654,14656],{"className":14655,"style":10553},[10552,751],[10555,14657,14658],{"xmlns":10557,"width":10558,"height":10559,"viewBox":10560,"preserveAspectRatio":10561},[10563,14659],{"d":10565},[120,14661,762],{"className":14662},[761],[120,14664,14666],{"className":14665},[731],[120,14667,14669],{"className":14668,"style":10575},[735],[120,14670],{},[120,14672,14673,14676],{"style":1148},[120,14674],{"className":14675,"style":1133},[743],[120,14677],{"className":14678,"style":1156},[1155],[120,14680,14681,14684],{"style":1879},[120,14682],{"className":14683,"style":1133},[743],[120,14685,14687],{"className":14686},[748,749,750,751],[120,14688,14690],{"className":14689},[175,751],[120,14691,1294],{"className":14692},[175,751],[120,14694,762],{"className":14695},[761],[120,14697,14699],{"className":14698},[731],[120,14700,14702],{"className":14701,"style":10609},[735],[120,14703],{},[120,14705],{"className":14706},[188,1113],[120,14708],{"className":14709,"style":993},[398],[120,14711,14713,14716],{"className":14712},[879],[120,14714,664],{"className":14715,"style":885},[879,883,884],[120,14717,14719],{"className":14718},[722],[120,14720,14722,14759],{"className":14721},[726,727],[120,14723,14725,14756],{"className":14724},[731],[120,14726,14728,14742],{"className":14727,"style":898},[735],[120,14729,14730,14733],{"style":901},[120,14731],{"className":14732,"style":744},[743],[120,14734,14736],{"className":14735},[748,749,750,751],[120,14737,14739],{"className":14738},[175,751],[120,14740,523],{"className":14741},[175,751],[120,14743,14744,14747],{"style":919},[120,14745],{"className":14746,"style":744},[743],[120,14748,14750],{"className":14749},[748,749,750,751],[120,14751,14753],{"className":14752},[175,751],[120,14754,149],{"className":14755},[175,176,751],[120,14757,762],{"className":14758},[761],[120,14760,14762],{"className":14761},[731],[120,14763,14765],{"className":14764,"style":3298},[735],[120,14766],{},[120,14768],{"className":14769,"style":993},[398],[120,14771,14773,15067,15070],{"className":14772},[175],[120,14774,14776,14779],{"className":14775},[175],[120,14777,3629],{"className":14778},[175,176],[120,14780,14782],{"className":14781},[722],[120,14783,14785],{"className":14784},[726],[120,14786,14788],{"className":14787},[731],[120,14789,14791],{"className":14790,"style":13533},[735],[120,14792,14793,14796],{"style":9976},[120,14794],{"className":14795,"style":1133},[743],[120,14797,14799],{"className":14798},[748,749,750,751],[120,14800,14802,14805,14873,15061],{"className":14801},[175,751],[120,14803,669],{"className":14804},[175,751],[120,14806,14808,14811,14870],{"className":14807},[175,751],[120,14809],{"className":14810},[181,1113,748,958,5941],[120,14812,14814],{"className":14813},[1043],[120,14815,14817,14862],{"className":14816},[726,727],[120,14818,14820,14859],{"className":14819},[731],[120,14821,14823,14837,14845],{"className":14822,"style":10269},[735],[120,14824,14825,14828],{"style":5967},[120,14826],{"className":14827,"style":1133},[743],[120,14829,14831],{"className":14830},[748,958,959,751],[120,14832,14834],{"className":14833},[175,751],[120,14835,9849],{"className":14836},[175,751],[120,14838,14839,14842],{"style":5982},[120,14840],{"className":14841,"style":1133},[743],[120,14843],{"className":14844,"style":5989},[1155,751],[120,14846,14847,14850],{"style":5992},[120,14848],{"className":14849,"style":1133},[743],[120,14851,14853],{"className":14852},[748,958,959,751],[120,14854,14856],{"className":14855},[175,751],[120,14857,1294],{"className":14858},[175,751],[120,14860,762],{"className":14861},[761],[120,14863,14865],{"className":14864},[731],[120,14866,14868],{"className":14867,"style":10712},[735],[120,14869],{},[120,14871],{"className":14872},[188,1113,748,958,5941],[120,14874,14876,15035],{"className":14875},[2781,751],[120,14877,14879,14888,15026],{"className":14878},[2781,751],[120,14880,14882],{"className":14881,"style":5942},[181,748,958,5941,751,2785],[120,14883,14885],{"className":14884},[2790,959,751],[120,14886,146],{"className":14887},[751],[120,14889,14891,14894,15023],{"className":14890},[175,751],[120,14892],{"className":14893},[181,1113,748,958,5941],[120,14895,14897],{"className":14896},[1043],[120,14898,14900,15015],{"className":14899},[726,727],[120,14901,14903,15012],{"className":14902},[731],[120,14904,14906,14946,14954],{"className":14905,"style":13649},[735],[120,14907,14908,14911],{"style":13652},[120,14909],{"className":14910,"style":1133},[743],[120,14912,14914],{"className":14913},[748,958,959,751],[120,14915,14917],{"className":14916},[175,751],[120,14918,14920,14923],{"className":14919},[175,751],[120,14921,10362],{"className":14922,"style":5677},[175,176,751],[120,14924,14926],{"className":14925},[722],[120,14927,14929],{"className":14928},[726],[120,14930,14932],{"className":14931},[731],[120,14933,14935],{"className":14934,"style":13680},[735],[120,14936,14937,14940],{"style":13683},[120,14938],{"className":14939,"style":13687},[743],[120,14941,14943],{"className":14942},[175,751],[120,14944,13253],{"className":14945},[175,751],[120,14947,14948,14951],{"style":5982},[120,14949],{"className":14950,"style":1133},[743],[120,14952],{"className":14953,"style":5989},[1155,751],[120,14955,14956,14959],{"style":13704},[120,14957],{"className":14958,"style":1133},[743],[120,14960,14962],{"className":14961},[748,958,959,751],[120,14963,14965,14968,14971,14974,14977,14980,14983],{"className":14964},[175,751],[120,14966,13288],{"className":14967,"style":13717},[175,176,751],[120,14969,9521],{"className":14970},[175,176,751],[120,14972,146],{"className":14973},[181,751],[120,14975,3838],{"className":14976},[175,176,751],[120,14978,152],{"className":14979},[188,751],[120,14981,669],{"className":14982},[1356,751],[120,14984,14986,14989],{"className":14985},[175,751],[120,14987,10357],{"className":14988},[175,176,751],[120,14990,14992],{"className":14991},[722],[120,14993,14995],{"className":14994},[726],[120,14996,14998],{"className":14997},[731],[120,14999,15001],{"className":15000,"style":13751},[735],[120,15002,15003,15006],{"style":13754},[120,15004],{"className":15005,"style":13687},[743],[120,15007,15009],{"className":15008},[175,751],[120,15010,13253],{"className":15011},[175,751],[120,15013,762],{"className":15014},[761],[120,15016,15018],{"className":15017},[731],[120,15019,15021],{"className":15020,"style":13773},[735],[120,15022],{},[120,15024],{"className":15025},[188,1113,748,958,5941],[120,15027,15029],{"className":15028,"style":5942},[188,748,958,5941,751,2785],[120,15030,15032],{"className":15031},[2790,959,751],[120,15033,152],{"className":15034},[751],[120,15036,15038],{"className":15037},[722],[120,15039,15041],{"className":15040},[726],[120,15042,15044],{"className":15043},[731],[120,15045,15047],{"className":15046,"style":13800},[735],[120,15048,15049,15052],{"style":13803},[120,15050],{"className":15051,"style":954},[743],[120,15053,15055],{"className":15054},[748,958,959,751],[120,15056,15058],{"className":15057},[175,751],[120,15059,9849],{"className":15060},[175,751],[120,15062,15064],{"className":15063},[175,419,751],[120,15065,423],{"className":15066},[175,751,2327],[120,15068,692],{"className":15069},[175,176],[120,15071,3838],{"className":15072},[175,176],[21,15074,15075],{},"也可以表示为：",[21,15077,15078],{},[120,15079,15081,15139],{"className":15080},[123],[120,15082,15084],{"className":15083},[127],[129,15085,15086],{"xmlns":131},[133,15087,15088,15136],{},[136,15089,15090,15092,15094,15096,15098,15100,15102],{},[139,15091,300],{},[143,15093,146],{"stretchy":145},[139,15095,149],{},[143,15097,152],{"stretchy":145},[143,15099,358],{},[139,15101,11567],{"mathvariant":672},[136,15103,15104,15106,15134],{},[143,15105,146],{"fence":162},[1043,15107,15108,15128],{},[136,15109,15110,15112,15114,15116,15118,15120,15122],{},[139,15111,5230],{},[143,15113,5233],{},[143,15115,146],{"stretchy":145},[139,15117,149],{},[143,15119,152],{"stretchy":145},[143,15121,669],{},[3621,15123,15124,15126],{},[139,15125,10357],{},[143,15127,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,15129,15130,15132],{},[139,15131,10362],{},[143,15133,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,15135,152],{"fence":162},[154,15137,15138],{"encoding":156},"Q(t) = \\Phi\\left( \\frac{\\ln(t) - \\mu'}{\\sigma'} \\right)",[120,15140,15142,15169],{"className":15141,"ariaHidden":162},[161],[120,15143,15145,15148,15151,15154,15157,15160,15163,15166],{"className":15144},[166],[120,15146],{"className":15147,"style":171},[170],[120,15149,300],{"className":15150},[175,176],[120,15152,146],{"className":15153},[181],[120,15155,149],{"className":15156},[175,176],[120,15158,152],{"className":15159},[188],[120,15161],{"className":15162,"style":399},[398],[120,15164,358],{"className":15165},[403],[120,15167],{"className":15168,"style":399},[398],[120,15170,15172,15175,15178,15181],{"className":15171},[166],[120,15173],{"className":15174,"style":3456},[170],[120,15176,11567],{"className":15177},[175],[120,15179],{"className":15180,"style":993},[398],[120,15182,15184,15190,15340],{"className":15183},[2781],[120,15185,15187],{"className":15186,"style":2786},[181,2785],[120,15188,146],{"className":15189},[2790,3472],[120,15191,15193,15196,15337],{"className":15192},[175],[120,15194],{"className":15195},[181,1113],[120,15197,15199],{"className":15198},[1043],[120,15200,15202,15329],{"className":15201},[726,727],[120,15203,15205,15326],{"className":15204},[731],[120,15206,15209,15252,15260],{"className":15207,"style":15208},[735],"height:1.0645em;",[120,15210,15211,15214],{"style":1129},[120,15212],{"className":15213,"style":1133},[743],[120,15215,15217],{"className":15216},[748,749,750,751],[120,15218,15220],{"className":15219},[175,751],[120,15221,15223,15226],{"className":15222},[175,751],[120,15224,10362],{"className":15225,"style":5677},[175,176,751],[120,15227,15229],{"className":15228},[722],[120,15230,15232],{"className":15231},[726],[120,15233,15235],{"className":15234},[731],[120,15236,15238],{"className":15237,"style":13413},[735],[120,15239,15240,15243],{"style":13416},[120,15241],{"className":15242,"style":954},[743],[120,15244,15246],{"className":15245},[748,958,959,751],[120,15247,15249],{"className":15248},[175,751],[120,15250,13253],{"className":15251},[175,751],[120,15253,15254,15257],{"style":1148},[120,15255],{"className":15256,"style":1133},[743],[120,15258],{"className":15259,"style":1156},[1155],[120,15261,15262,15265],{"style":1159},[120,15263],{"className":15264,"style":1133},[743],[120,15266,15268],{"className":15267},[748,749,750,751],[120,15269,15271,15280,15283,15286,15289,15292],{"className":15270},[175,751],[120,15272,15274,15277],{"className":15273},[879,751],[120,15275,13288],{"className":15276},[751],[120,15278,9521],{"className":15279},[751],[120,15281,146],{"className":15282},[181,751],[120,15284,149],{"className":15285},[175,176,751],[120,15287,152],{"className":15288},[188,751],[120,15290,669],{"className":15291},[1356,751],[120,15293,15295,15298],{"className":15294},[175,751],[120,15296,10357],{"className":15297},[175,176,751],[120,15299,15301],{"className":15300},[722],[120,15302,15304],{"className":15303},[726],[120,15305,15307],{"className":15306},[731],[120,15308,15311],{"className":15309,"style":15310},[735],"height:0.8278em;",[120,15312,15314,15317],{"style":15313},"top:-2.931em;margin-right:0.0714em;",[120,15315],{"className":15316,"style":954},[743],[120,15318,15320],{"className":15319},[748,958,959,751],[120,15321,15323],{"className":15322},[175,751],[120,15324,13253],{"className":15325},[175,751],[120,15327,762],{"className":15328},[761],[120,15330,15332],{"className":15331},[731],[120,15333,15335],{"className":15334,"style":1197},[735],[120,15336],{},[120,15338],{"className":15339},[188,1113],[120,15341,15343],{"className":15342,"style":2786},[188,2785],[120,15344,152],{"className":15345},[2790,3472],[21,15347,2344,15348,11768],{},[120,15349,15351,15370],{"className":15350},[123],[120,15352,15354],{"className":15353},[127],[129,15355,15356],{"xmlns":131},[133,15357,15358,15368],{},[136,15359,15360,15362,15364,15366],{},[139,15361,11567],{"mathvariant":672},[143,15363,146],{"stretchy":145},[143,15365,1693],{},[143,15367,152],{"stretchy":145},[154,15369,11746],{"encoding":156},[120,15371,15373],{"className":15372,"ariaHidden":162},[161],[120,15374,15376,15379,15382,15385,15388],{"className":15375},[166],[120,15377],{"className":15378,"style":171},[170],[120,15380,11567],{"className":15381},[175],[120,15383,146],{"className":15384},[181],[120,15386,1693],{"className":15387},[175],[120,15389,152],{"className":15390},[188],[62,15392],{"src":15393,"alt":15394,"width":77},"/media/image22.png","sigma 对对数正态分布 CDF 的影响",[21,15396,15397,15458],{},[120,15398,15400,15417],{"className":15399},[123],[120,15401,15403],{"className":15402},[127],[129,15404,15405],{"xmlns":131},[133,15406,15407,15415],{},[136,15408,15409],{},[3621,15410,15411,15413],{},[139,15412,10362],{},[143,15414,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,15416,13943],{"encoding":156},[120,15418,15420],{"className":15419,"ariaHidden":162},[161],[120,15421,15423,15426],{"className":15422},[166],[120,15424],{"className":15425,"style":13877},[170],[120,15427,15429,15432],{"className":15428},[175],[120,15430,10362],{"className":15431,"style":5677},[175,176],[120,15433,15435],{"className":15434},[722],[120,15436,15438],{"className":15437},[726],[120,15439,15441],{"className":15440},[731],[120,15442,15444],{"className":15443,"style":13877},[735],[120,15445,15446,15449],{"style":9686},[120,15447],{"className":15448,"style":744},[743],[120,15450,15452],{"className":15451},[748,749,750,751],[120,15453,15455],{"className":15454},[175,751],[120,15456,13253],{"className":15457},[175,751]," 对对数正态分布 CDF 的影响",[21,15460,15461,15462,15523,15524,15585],{},"较大的 ",[120,15463,15465,15482],{"className":15464},[123],[120,15466,15468],{"className":15467},[127],[129,15469,15470],{"xmlns":131},[133,15471,15472,15480],{},[136,15473,15474],{},[3621,15475,15476,15478],{},[139,15477,10362],{},[143,15479,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,15481,13943],{"encoding":156},[120,15483,15485],{"className":15484,"ariaHidden":162},[161],[120,15486,15488,15491],{"className":15487},[166],[120,15489],{"className":15490,"style":13877},[170],[120,15492,15494,15497],{"className":15493},[175],[120,15495,10362],{"className":15496,"style":5677},[175,176],[120,15498,15500],{"className":15499},[722],[120,15501,15503],{"className":15502},[726],[120,15504,15506],{"className":15505},[731],[120,15507,15509],{"className":15508,"style":13877},[735],[120,15510,15511,15514],{"style":9686},[120,15512],{"className":15513,"style":744},[743],[120,15515,15517],{"className":15516},[748,749,750,751],[120,15518,15520],{"className":15519},[175,751],[120,15521,13253],{"className":15522},[175,751]," 在水平方向拉伸 CDF，表示失效分散在更宽的时间范围；较小的 ",[120,15525,15527,15544],{"className":15526},[123],[120,15528,15530],{"className":15529},[127],[129,15531,15532],{"xmlns":131},[133,15533,15534,15542],{},[136,15535,15536],{},[3621,15537,15538,15540],{},[139,15539,10362],{},[143,15541,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,15543,13943],{"encoding":156},[120,15545,15547],{"className":15546,"ariaHidden":162},[161],[120,15548,15550,15553],{"className":15549},[166],[120,15551],{"className":15552,"style":13877},[170],[120,15554,15556,15559],{"className":15555},[175],[120,15557,10362],{"className":15558,"style":5677},[175,176],[120,15560,15562],{"className":15561},[722],[120,15563,15565],{"className":15564},[726],[120,15566,15568],{"className":15567},[731],[120,15569,15571],{"className":15570,"style":13877},[735],[120,15572,15573,15576],{"style":9686},[120,15574],{"className":15575,"style":744},[743],[120,15577,15579],{"className":15578},[748,749,750,751],[120,15580,15582],{"className":15581},[175,751],[120,15583,13253],{"className":15584},[175,751]," 则压缩 CDF 并使其更陡，表示失效集中在较窄的时间区间。",[62,15587],{"src":15588,"alt":15589,"width":77},"/media/image23.png","mu 对对数正态分布 CDF 的影响",[21,15591,15592,15458],{},[120,15593,15595,15612],{"className":15594},[123],[120,15596,15598],{"className":15597},[127],[129,15599,15600],{"xmlns":131},[133,15601,15602,15610],{},[136,15603,15604],{},[3621,15605,15606,15608],{},[139,15607,10357],{},[143,15609,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,15611,13848],{"encoding":156},[120,15613,15615],{"className":15614,"ariaHidden":162},[161],[120,15616,15618,15621],{"className":15617},[166],[120,15619],{"className":15620,"style":13858},[170],[120,15622,15624,15627],{"className":15623},[175],[120,15625,10357],{"className":15626},[175,176],[120,15628,15630],{"className":15629},[722],[120,15631,15633],{"className":15632},[726],[120,15634,15636],{"className":15635},[731],[120,15637,15639],{"className":15638,"style":13877},[735],[120,15640,15641,15644],{"style":9686},[120,15642],{"className":15643,"style":744},[743],[120,15645,15647],{"className":15646},[748,749,750,751],[120,15648,15650],{"className":15649},[175,751],[120,15651,13253],{"className":15652},[175,751],[21,15654,15655,15716],{},[120,15656,15658,15675],{"className":15657},[123],[120,15659,15661],{"className":15660},[127],[129,15662,15663],{"xmlns":131},[133,15664,15665,15673],{},[136,15666,15667],{},[3621,15668,15669,15671],{},[139,15670,10357],{},[143,15672,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,15674,13848],{"encoding":156},[120,15676,15678],{"className":15677,"ariaHidden":162},[161],[120,15679,15681,15684],{"className":15680},[166],[120,15682],{"className":15683,"style":13858},[170],[120,15685,15687,15690],{"className":15686},[175],[120,15688,10357],{"className":15689},[175,176],[120,15691,15693],{"className":15692},[722],[120,15694,15696],{"className":15695},[726],[120,15697,15699],{"className":15698},[731],[120,15700,15702],{"className":15701,"style":13877},[735],[120,15703,15704,15707],{"style":9686},[120,15705],{"className":15706,"style":744},[743],[120,15708,15710],{"className":15709},[748,749,750,751],[120,15711,15713],{"className":15712},[175,751],[120,15714,13253],{"className":15715},[175,751]," 控制 CDF 的水平位置（时间尺度），但不改变其形状。",[3590,15718,4278],{"id":15719},"失效率函数-3",[21,15721,15722],{},"对数正态分布的失效率为：",[21,15724,15725],{},[120,15726,15728,15771],{"className":15727},[123],[120,15729,15731],{"className":15730},[127],[129,15732,15733],{"xmlns":131},[133,15734,15735,15769],{},[136,15736,15737,15739,15741,15743,15745,15747],{},[139,15738,1442],{},[143,15740,146],{"stretchy":145},[139,15742,149],{},[143,15744,152],{"stretchy":145},[143,15746,358],{},[1043,15748,15749,15759],{},[136,15750,15751,15753,15755,15757],{},[139,15752,141],{},[143,15754,146],{"stretchy":145},[139,15756,149],{},[143,15758,152],{"stretchy":145},[136,15760,15761,15763,15765,15767],{},[139,15762,1283],{},[143,15764,146],{"stretchy":145},[139,15766,149],{},[143,15768,152],{"stretchy":145},[154,15770,11886],{"encoding":156},[120,15772,15774,15801],{"className":15773,"ariaHidden":162},[161],[120,15775,15777,15780,15783,15786,15789,15792,15795,15798],{"className":15776},[166],[120,15778],{"className":15779,"style":171},[170],[120,15781,1442],{"className":15782},[175,176],[120,15784,146],{"className":15785},[181],[120,15787,149],{"className":15788},[175,176],[120,15790,152],{"className":15791},[188],[120,15793],{"className":15794,"style":399},[398],[120,15796,358],{"className":15797},[403],[120,15799],{"className":15800,"style":399},[398],[120,15802,15804,15807],{"className":15803},[166],[120,15805],{"className":15806,"style":7270},[170],[120,15808,15810,15813,15890],{"className":15809},[175],[120,15811],{"className":15812},[181,1113],[120,15814,15816],{"className":15815},[1043],[120,15817,15819,15882],{"className":15818},[726,727],[120,15820,15822,15879],{"className":15821},[731],[120,15823,15825,15848,15856],{"className":15824,"style":1126},[735],[120,15826,15827,15830],{"style":1129},[120,15828],{"className":15829,"style":1133},[743],[120,15831,15833],{"className":15832},[748,749,750,751],[120,15834,15836,15839,15842,15845],{"className":15835},[175,751],[120,15837,1283],{"className":15838,"style":1320},[175,176,751],[120,15840,146],{"className":15841},[181,751],[120,15843,149],{"className":15844},[175,176,751],[120,15846,152],{"className":15847},[188,751],[120,15849,15850,15853],{"style":1148},[120,15851],{"className":15852,"style":1133},[743],[120,15854],{"className":15855,"style":1156},[1155],[120,15857,15858,15861],{"style":1159},[120,15859],{"className":15860,"style":1133},[743],[120,15862,15864],{"className":15863},[748,749,750,751],[120,15865,15867,15870,15873,15876],{"className":15866},[175,751],[120,15868,141],{"className":15869,"style":177},[175,176,751],[120,15871,146],{"className":15872},[181,751],[120,15874,149],{"className":15875},[175,176,751],[120,15877,152],{"className":15878},[188,751],[120,15880,762],{"className":15881},[761],[120,15883,15885],{"className":15884},[731],[120,15886,15888],{"className":15887,"style":1904},[735],[120,15889],{},[120,15891],{"className":15892},[188,1113],[21,15894,9500],{},[21,15896,15897],{},[120,15898,15900,16001],{"className":15899},[123],[120,15901,15903],{"className":15902},[127],[129,15904,15905],{"xmlns":131},[133,15906,15907,15999],{},[136,15908,15909,15911,15913,15915,15917,15919,15945],{},[139,15910,141],{},[143,15912,146],{"stretchy":145},[139,15914,149],{},[143,15916,152],{"stretchy":145},[143,15918,358],{},[1043,15920,15921,15923],{},[360,15922,1294],{},[136,15924,15925,15937],{},[3621,15926,15927,15935],{},[136,15928,15929,15931,15933],{},[139,15930,149],{},[143,15932,1693],{},[139,15934,10362],{},[143,15936,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[10376,15938,15939],{},[136,15940,15941,15943],{},[360,15942,9849],{},[139,15944,10384],{},[3621,15946,15947,15949],{},[139,15948,3629],{},[136,15950,15951,15953,15959,15997],{},[143,15952,669],{},[1043,15954,15955,15957],{},[360,15956,1294],{},[360,15958,9849],{},[3621,15960,15961,15995],{},[136,15962,15963,15965,15993],{},[143,15964,146],{"fence":162},[1043,15966,15967,15987],{},[136,15968,15969,15971,15973,15975,15977,15979,15981],{},[139,15970,13288],{},[139,15972,9521],{},[143,15974,146],{"stretchy":145},[139,15976,149],{},[143,15978,152],{"stretchy":145},[143,15980,669],{},[3621,15982,15983,15985],{},[139,15984,10357],{},[143,15986,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,15988,15989,15991],{},[139,15990,10362],{},[143,15992,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,15994,152],{"fence":162},[360,15996,9849],{},[364,15998,423],{},[154,16000,13319],{"encoding":156},[120,16002,16004,16031],{"className":16003,"ariaHidden":162},[161],[120,16005,16007,16010,16013,16016,16019,16022,16025,16028],{"className":16006},[166],[120,16008],{"className":16009,"style":171},[170],[120,16011,141],{"className":16012,"style":177},[175,176],[120,16014,146],{"className":16015},[181],[120,16017,149],{"className":16018},[175,176],[120,16020,152],{"className":16021},[188],[120,16023],{"className":16024,"style":399},[398],[120,16026,358],{"className":16027},[403],[120,16029],{"className":16030,"style":399},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0,18611,18613],{"className":18612,"style":5942},[188,748,958,5941,751,2785],[120,18614,18616],{"className":18615},[2790,959,751],[120,18617,152],{"className":18618},[751],[120,18620,18622],{"className":18621},[722],[120,18623,18625],{"className":18624},[726],[120,18626,18628],{"className":18627},[731],[120,18629,18631],{"className":18630,"style":13800},[735],[120,18632,18633,18636],{"style":13803},[120,18634],{"className":18635,"style":954},[743],[120,18637,18639],{"className":18638},[748,958,959,751],[120,18640,18642],{"className":18641},[175,751],[120,18643,9849],{"className":18644},[175,751],[120,18646,18648],{"className":18647},[175,419,751],[120,18649,423],{"className":18650},[175,751,2327],[120,18652,692],{"className":18653},[175,176],[120,18655,149],{"className":18656},[175,176],[21,18658,18659],{},"该积分在统计学中的已知结果为：",[21,18661,18662],{},[120,18663,18665,18711],{"className":18664},[123],[120,18666,18668],{"className":18667},[127],[129,18669,18670],{"xmlns":131},[133,18671,18672,18708],{},[136,18673,18674,18680,18682],{},[3081,18675,18676,18678],{"accent":162},[139,18677,2523],{},[143,18679,3087],{"stretchy":162},[143,18681,358],{},[3621,18683,18684,18686],{},[139,18685,3629],{},[136,18687,18688,18690,18692,18698],{},[139,18689,10357],{},[143,18691,2646],{},[1043,18693,18694,18696],{},[360,18695,1294],{},[360,18697,9849],{},[3621,18699,18700,18706],{},[3621,18701,18702,18704],{},[139,18703,10362],{},[143,18705,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[360,18707,9849],{},[154,18709,18710],{"encoding":156},"\\overline{T} = e^{\\mu + \\frac{1}{2}{\\sigma'}^{2}}",[120,18712,18714,18760],{"className":18713,"ariaHidden":162},[161],[120,18715,18717,18720,18751,18754,18757],{"className":18716},[166],[120,18718],{"className":18719,"style":3100},[170],[120,18721,18723],{"className":18722},[175,3104],[120,18724,18726],{"className":18725},[726],[120,18727,18729],{"className":18728},[731],[120,18730,18732,18743],{"className":18731,"style":3100},[735],[120,18733,18734,18737],{"style":3116},[120,18735],{"className":18736,"style":1133},[743],[120,18738,18740],{"className":18739},[175],[120,18741,2523],{"className":18742,"style":275},[175,176],[120,18744,18745,18748],{"style":3128},[120,18746],{"className":18747,"style":1133},[743],[120,18749],{"className":18750,"style":1156},[3135],[120,18752],{"className":18753,"style":399},[398],[120,18755,358],{"className":18756},[403],[120,18758],{"className":18759,"style":399},[398],[120,18761,18763,18767],{"className":18762},[166],[120,18764],{"className":18765,"style":18766},[170],"height:1.0177em;",[120,18768,18770,18773],{"className":18769},[175],[120,18771,3629],{"className":18772},[175,176],[120,18774,18776],{"className":18775},[722],[120,18777,18779],{"className":18778},[726],[120,18780,18782],{"className":18781},[731],[120,18783,18785],{"className":18784,"style":18766},[735],[120,18786,18788,18791],{"style":18787},"top:-3.363em;margin-right:0.05em;",[120,18789],{"className":18790,"style":1133},[743],[120,18792,18794],{"className":18793},[748,749,750,751],[120,18795,18797,18800,18803,18871],{"className":18796},[175,751],[120,18798,10357],{"className":18799},[175,176,751],[120,18801,2646],{"className":18802},[1356,751],[120,18804,18806,18809,18868],{"className":18805},[175,751],[120,18807],{"className":18808},[181,1113,748,958,5941],[120,18810,18812],{"className":18811},[1043],[120,18813,18815,18860],{"className":18814},[726,727],[120,18816,18818,18857],{"className":18817},[731],[120,18819,18821,18835,18843],{"className":18820,"style":10269},[735],[120,18822,18823,18826],{"style":5967},[120,18824],{"className":18825,"style":1133},[743],[120,18827,18829],{"className":18828},[748,958,959,751],[120,18830,18832],{"className":18831},[175,751],[120,18833,9849],{"className":18834},[175,751],[120,18836,18837,18840],{"style":5982},[120,18838],{"className":18839,"style":1133},[743],[120,18841],{"className":18842,"style":5989},[1155,751],[120,18844,18845,18848],{"style":5992},[120,18846],{"className":18847,"style":1133},[743],[120,18849,18851],{"className":18850},[748,958,959,751],[120,18852,18854],{"className":18853},[175,751],[120,18855,1294],{"className":18856},[175,751],[120,18858,762],{"className":18859},[761],[120,18861,18863],{"className":18862},[731],[120,18864,18866],{"className":18865,"style":10712},[735],[120,18867],{},[120,18869],{"className":18870},[188,1113,748,958,5941],[120,18872,18874,18909],{"className":18873},[175,751],[120,18875,18877],{"className":18876},[175,751],[120,18878,18880,18883],{"className":18879},[175,751],[120,18881,10362],{"className":18882,"style":5677},[175,176,751],[120,18884,18886],{"className":18885},[722],[120,18887,18889],{"className":18888},[726],[120,18890,18892],{"className":18891},[731],[120,18893,18895],{"className":18894,"style":15310},[735],[120,18896,18897,18900],{"style":15313},[120,18898],{"className":18899,"style":954},[743],[120,18901,18903],{"className":18902},[748,958,959,751],[120,18904,18906],{"className":18905},[175,751],[120,18907,13253],{"className":18908},[175,751],[120,18910,18912],{"className":18911},[722],[120,18913,18915],{"className":18914},[726],[120,18916,18918],{"className":18917},[731],[120,18919,18922],{"className":18920,"style":18921},[735],"height:0.9353em;",[120,18923,18925,18928],{"style":18924},"top:-2.975em;margin-right:0.0714em;",[120,18926],{"className":18927,"style":954},[743],[120,18929,18931],{"className":18930},[748,958,959,751],[120,18932,18934],{"className":18933},[175,751],[120,18935,9849],{"className":18936},[175,751],[3590,18938,5092],{"id":18939},"中位寿命-2",[21,18941,18942],{},[120,18943,18945,19019],{"className":18944},[123],[120,18946,18948],{"className":18947},[127],[129,18949,18950],{"xmlns":131},[133,18951,18952,19016],{},[136,18953,18954,18956,18968,18970,18972,19012,19014],{},[139,18955,300],{},[136,18957,18958,18960,18966],{},[143,18959,146],{"fence":162},[3081,18961,18962,18964],{"accent":162},[139,18963,2523],{},[143,18965,3361],{},[143,18967,152],{"fence":162},[143,18969,358],{},[139,18971,11567],{"mathvariant":672},[136,18973,18974,18976,19010],{},[143,18975,146],{"fence":162},[1043,18977,18978,19004],{},[136,18979,18980,18982,18984,18996,18998],{},[139,18981,5230],{},[143,18983,5233],{},[136,18985,18986,18988,18994],{},[143,18987,146],{"fence":162},[3081,18989,18990,18992],{"accent":162},[139,18991,2523],{},[143,18993,3361],{},[143,18995,152],{"fence":162},[143,18997,669],{},[3621,18999,19000,19002],{},[139,19001,10357],{},[143,19003,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,19005,19006,19008],{},[139,19007,10362],{},[143,19009,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,19011,152],{"fence":162},[143,19013,358],{},[360,19015,3443],{},[154,19017,19018],{"encoding":156},"Q\\left( \\breve{T} \\right) = \\Phi\\left( \\frac{\\ln\\left( \\breve{T} \\right) - \\mu'}{\\sigma'} \\right) = 0.5",[120,19020,19022,19089,19313],{"className":19021,"ariaHidden":162},[161],[120,19023,19025,19028,19031,19034,19080,19083,19086],{"className":19024},[166],[120,19026],{"className":19027,"style":3456},[170],[120,19029,300],{"className":19030},[175,176],[120,19032],{"className":19033,"style":993},[398],[120,19035,19037,19043,19074],{"className":19036},[2781],[120,19038,19040],{"className":19039,"style":2786},[181,2785],[120,19041,146],{"className":19042},[2790,3472],[120,19044,19046],{"className":19045},[175,3378],[120,19047,19049],{"className":19048},[726],[120,19050,19052],{"className":19051},[731],[120,19053,19055,19063],{"className":19054,"style":3374},[735],[120,19056,19057,19060],{"style":3116},[120,19058],{"className":19059,"style":1133},[743],[120,19061,2523],{"className":19062,"style":275},[175,176],[120,19064,19065,19068],{"style":3398},[120,19066],{"className":19067,"style":1133},[743],[120,19069,19071],{"className":19070,"style":3406},[3405],[120,19072,3361],{"className":19073},[175],[120,19075,19077],{"className":19076,"style":2786},[188,2785],[120,19078,152],{"className":19079},[2790,3472],[120,19081],{"className":19082,"style":399},[398],[120,19084,358],{"className":19085},[403],[120,19087],{"className":19088,"style":399},[398],[120,19090,19092,19095,19098,19101,19304,19307,19310],{"className":19091},[166],[120,19093],{"className":19094,"style":2735},[170],[120,19096,11567],{"className":19097},[175],[120,19099],{"className":19100,"style":993},[398],[120,19102,19104,19110,19298],{"className":19103},[2781],[120,19105,19107],{"className":19106,"style":2786},[181,2785],[120,19108,146],{"className":19109},[2790,750],[120,19111,19113,19116,19295],{"className":19112},[175],[120,19114],{"className":19115},[181,1113],[120,19117,19119],{"className":19118},[1043],[120,19120,19122,19287],{"className":19121},[726,727],[120,19123,19125,19284],{"className":19124},[731],[120,19126,19129,19172,19180],{"className":19127,"style":19128},[735],"height:1.31em;",[120,19130,19131,19134],{"style":1129},[120,19132],{"className":19133,"style":1133},[743],[120,19135,19137],{"className":19136},[748,749,750,751],[120,19138,19140],{"className":19139},[175,751],[120,19141,19143,19146],{"className":19142},[175,751],[120,19144,10362],{"className":19145,"style":5677},[175,176,751],[120,19147,19149],{"className":19148},[722],[120,19150,19152],{"className":19151},[726],[120,19153,19155],{"className":19154},[731],[120,19156,19158],{"className":19157,"style":13413},[735],[120,19159,19160,19163],{"style":13416},[120,19161],{"className":19162,"style":954},[743],[120,19164,19166],{"className":19165},[748,958,959,751],[120,19167,19169],{"className":19168},[175,751],[120,19170,13253],{"className":19171},[175,751],[120,19173,19174,19177],{"style":1148},[120,19175],{"className":19176,"style":1133},[743],[120,19178],{"className":19179,"style":1156},[1155],[120,19181,19183,19186],{"style":19182},"top:-3.6125em;",[120,19184],{"className":19185,"style":1133},[743],[120,19187,19189],{"className":19188},[748,749,750,751],[120,19190,19192,19201,19249,19252],{"className":19191},[175,751],[120,19193,19195,19198],{"className":19194},[879,751],[120,19196,13288],{"className":19197},[751],[120,19199,9521],{"className":19200},[751],[120,19202,19204,19210,19243],{"className":19203},[2781,751],[120,19205,19207],{"className":19206,"style":5942},[181,748,958,5941,751,2785],[120,19208,146],{"className":19209},[751],[120,19211,19213],{"className":19212},[175,3378,751],[120,19214,19216],{"className":19215},[726],[120,19217,19219],{"className":19218},[731],[120,19220,19222,19231],{"className":19221,"style":3374},[735],[120,19223,19225,19228],{"style":19224},"top:-2.7em;",[120,19226],{"className":19227,"style":744},[743],[120,19229,2523],{"className":19230,"style":275},[175,176,751],[120,19232,19234,19237],{"style":19233},"top:-2.9523em;",[120,19235],{"className":19236,"style":744},[743],[120,19238,19240],{"className":19239,"style":3406},[3405],[120,19241,3361],{"className":19242},[175,751],[120,19244,19246],{"className":19245,"style":5942},[188,748,958,5941,751,2785],[120,19247,152],{"className":19248},[751],[120,19250,669],{"className":19251},[1356,751],[120,19253,19255,19258],{"className":19254},[175,751],[120,19256,10357],{"className":19257},[175,176,751],[120,19259,19261],{"className":19260},[722],[120,19262,19264],{"className":19263},[726],[120,19265,19267],{"className":19266},[731],[120,19268,19270],{"className":19269,"style":15310},[735],[120,19271,19272,19275],{"style":15313},[120,19273],{"className":19274,"style":954},[743],[120,19276,19278],{"className":19277},[748,958,959,751],[120,19279,19281],{"className":19280},[175,751],[120,19282,13253],{"className":19283},[175,751],[120,19285,762],{"className":19286},[761],[120,19288,19290],{"className":19289},[731],[120,19291,19293],{"className":19292,"style":1197},[735],[120,19294],{},[120,19296],{"className":19297},[188,1113],[120,19299,19301],{"className":19300,"style":2786},[188,2785],[120,19302,152],{"className":19303},[2790,750],[120,19305],{"className":19306,"style":399},[398],[120,19308,358],{"className":19309},[403],[120,19311],{"className":19312,"style":399},[398],[120,19314,19316,19319],{"className":19315},[166],[120,19317],{"className":19318,"style":447},[170],[120,19320,3443],{"className":19321},[175],[21,19323,19324,19325,6200],{},"由于 ",[120,19326,19328,19352],{"className":19327},[123],[120,19329,19331],{"className":19330},[127],[129,19332,19333],{"xmlns":131},[133,19334,19335,19349],{},[136,19336,19337,19339,19341,19343,19345,19347],{},[139,19338,11567],{"mathvariant":672},[143,19340,146],{"stretchy":145},[360,19342,523],{},[143,19344,152],{"stretchy":145},[143,19346,358],{},[360,19348,3443],{},[154,19350,19351],{"encoding":156},"\\Phi(0)=0.5",[120,19353,19355,19382],{"className":19354,"ariaHidden":162},[161],[120,19356,19358,19361,19364,19367,19370,19373,19376,19379],{"className":19357},[166],[120,19359],{"className":19360,"style":171},[170],[120,19362,11567],{"className":19363},[175],[120,19365,146],{"className":19366},[181],[120,19368,523],{"className":19369},[175],[120,19371,152],{"className":19372},[188],[120,19374],{"className":19375,"style":399},[398],[120,19377,358],{"className":19378},[403],[120,19380],{"className":19381,"style":399},[398],[120,19383,19385,19388],{"className":19384},[166],[120,19386],{"className":19387,"style":447},[170],[120,19389,3443],{"className":19390},[175],[120,19392,19394],{"className":19393},[1588],[120,19395,19397,19465],{"className":19396},[123],[120,19398,19400],{"className":19399},[127],[129,19401,19402],{"xmlns":131,"display":1597},[133,19403,19404,19462],{},[136,19405,19406,19446],{},[136,19407,19408,19442,19444],{},[1043,19409,19410,19436],{},[136,19411,19412,19414,19416,19428,19430],{},[139,19413,5230],{},[143,19415,5233],{},[136,19417,19418,19420,19426],{},[143,19419,146],{"fence":162},[3081,19421,19422,19424],{"accent":162},[139,19423,2523],{},[143,19425,3361],{},[143,19427,152],{"fence":162},[143,19429,669],{},[3621,19431,19432,19434],{},[139,19433,10357],{},[143,19435,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,19437,19438,19440],{},[139,19439,10362],{},[143,19441,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,19443,358],{},[360,19445,523],{},[136,19447,19448,19454,19456],{},[3081,19449,19450,19452],{"accent":162},[139,19451,2523],{},[143,19453,3361],{},[143,19455,358],{},[3621,19457,19458,19460],{},[139,19459,3629],{},[139,19461,10357],{},[154,19463,19464],{"encoding":156},"{\\frac{\\ln\\left( \\breve{T} \\right) - \\mu'}{\\sigma'} = 0\n}{\\breve{T} = e^{\\mu}}",[120,19466,19468],{"className":19467,"ariaHidden":162},[161],[120,19469,19471,19475,19676],{"className":19470},[166],[120,19472],{"className":19473,"style":19474},[170],"height:2.876em;vertical-align:-0.686em;",[120,19476,19478,19664,19667,19670,19673],{"className":19477},[175],[120,19479,19481,19484,19661],{"className":19480},[175],[120,19482],{"className":19483},[181,1113],[120,19485,19487],{"className":19486},[1043],[120,19488,19490,19653],{"className":19489},[726,727],[120,19491,19493,19650],{"className":19492},[731],[120,19494,19497,19539,19548],{"className":19495,"style":19496},[735],"height:2.19em;",[120,19498,19500,19504],{"style":19499},"top:-2.464em;",[120,19501],{"className":19502,"style":19503},[743],"height:3.15em;",[120,19505,19507],{"className":19506},[175],[120,19508,19510,19513],{"className":19509},[175],[120,19511,10362],{"className":19512,"style":5677},[175,176],[120,19514,19516],{"className":19515},[722],[120,19517,19519],{"className":19518},[726],[120,19520,19522],{"className":19521},[731],[120,19523,19525],{"className":19524,"style":18193},[735],[120,19526,19527,19530],{"style":4542},[120,19528],{"className":19529,"style":744},[743],[120,19531,19533],{"className":19532},[748,749,750,751],[120,19534,19536],{"className":19535},[175,751],[120,19537,13253],{"className":19538},[175,751],[120,19540,19542,19545],{"style":19541},"top:-3.38em;",[120,19543],{"className":19544,"style":19503},[743],[120,19546],{"className":19547,"style":1156},[1155],[120,19549,19551,19554],{"style":19550},"top:-4.19em;",[120,19552],{"className":19553,"style":19503},[743],[120,19555,19557,19560,19563,19609,19612,19615,19618],{"className":19556},[175],[120,19558,5230],{"className":19559},[879],[120,19561],{"className":19562,"style":993},[398],[120,19564,19566,19572,19603],{"className":19565},[2781],[120,19567,19569],{"className":19568,"style":2786},[181,2785],[120,19570,146],{"className":19571},[2790,3472],[120,19573,19575],{"className":19574},[175,3378],[120,19576,19578],{"className":19577},[726],[120,19579,19581],{"className":19580},[731],[120,19582,19584,19592],{"className":19583,"style":3374},[735],[120,19585,19586,19589],{"style":3116},[120,19587],{"className":19588,"style":1133},[743],[120,19590,2523],{"className":19591,"style":275},[175,176],[120,19593,19594,19597],{"style":3398},[120,19595],{"className":19596,"style":1133},[743],[120,19598,19600],{"className":19599,"style":3406},[3405],[120,19601,3361],{"className":19602},[175],[120,19604,19606],{"className":19605,"style":2786},[188,2785],[120,19607,152],{"className":19608},[2790,3472],[120,19610],{"className":19611,"style":1352},[398],[120,19613,669],{"className":19614},[1356],[120,19616],{"className":19617,"style":1352},[398],[120,19619,19621,19624],{"className":19620},[175],[120,19622,10357],{"className":19623},[175,176],[120,19625,19627],{"className":19626},[722],[120,19628,19630],{"className":19629},[726],[120,19631,19633],{"className":19632},[731],[120,19634,19636],{"className":19635,"style":13877},[735],[120,19637,19638,19641],{"style":9686},[120,19639],{"className":19640,"style":744},[743],[120,19642,19644],{"className":19643},[748,749,750,751],[120,19645,19647],{"className":19646},[175,751],[120,19648,13253],{"className":19649},[175,751],[120,19651,762],{"className":19652},[761],[120,19654,19656],{"className":19655},[731],[120,19657,19659],{"className":19658,"style":1919},[735],[120,19660],{},[120,19662],{"className":19663},[188,1113],[120,19665],{"className":19666,"style":399},[398],[120,19668,358],{"className":19669},[403],[120,19671],{"className":19672,"style":399},[398],[120,19674,523],{"className":19675},[175],[120,19677,19679,19710,19713,19716,19719],{"className":19678},[175],[120,19680,19682],{"className":19681},[175,3378],[120,19683,19685],{"className":19684},[726],[120,19686,19688],{"className":19687},[731],[120,19689,19691,19699],{"className":19690,"style":3374},[735],[120,19692,19693,19696],{"style":3116},[120,19694],{"className":19695,"style":1133},[743],[120,19697,2523],{"className":19698,"style":275},[175,176],[120,19700,19701,19704],{"style":3398},[120,19702],{"className":19703,"style":1133},[743],[120,19705,19707],{"className":19706,"style":3406},[3405],[120,19708,3361],{"className":19709},[175],[120,19711],{"className":19712,"style":399},[398],[120,19714,358],{"className":19715},[403],[120,19717],{"className":19718,"style":399},[398],[120,19720,19722,19725],{"className":19721},[175],[120,19723,3629],{"className":19724},[175,176],[120,19726,19728],{"className":19727},[722],[120,19729,19731],{"className":19730},[726],[120,19732,19734],{"className":19733},[731],[120,19735,19738],{"className":19736,"style":19737},[735],"height:0.7144em;",[120,19739,19740,19743],{"style":4071},[120,19741],{"className":19742,"style":744},[743],[120,19744,19746],{"className":19745},[748,749,750,751],[120,19747,19749],{"className":19748},[175,751],[120,19750,10357],{"className":19751},[175,176,751],[17,19753,19754],{"id":19754},"参数估计",[21,19756,19757],{},"参数估计的目的是确定最能描述一组观测数据的分布参数值。以下介绍两种常用方法：概率图法和极大似然估计（MLE）。它们常用于利用样本数据拟合威布尔、对数正态、正态和指数等参数分布。",[31,19759,19760],{"id":19760},"概率图法",[21,19762,19763],{},"概率图法是一种以图形方式估计理论概率分布参数（例如均值、标准差和形状参数）的方法，使所选分布尽可能拟合给定数据。",[21,19765,19766,19767,19771,19772,189],{},"以下使用数据集 ",[19768,19769,19770],"code",{},"{30, 40, 20, 50}"," 说明。首先对失效数据排序，得到 ",[19768,19773,19774],{},"{20, 30, 40, 50}",[21,19776,19777,19778,19851,19852,6200],{},"对于每个失效时间 ",[120,19779,19781,19800],{"className":19780},[123],[120,19782,19784],{"className":19783},[127],[129,19785,19786],{"xmlns":131},[133,19787,19788,19797],{},[136,19789,19790],{},[629,19791,19792,19794],{},[139,19793,149],{},[139,19795,19796],{},"i",[154,19798,19799],{"encoding":156},"t_i",[120,19801,19803],{"className":19802,"ariaHidden":162},[161],[120,19804,19806,19810],{"className":19805},[166],[120,19807],{"className":19808,"style":19809},[170],"height:0.7651em;vertical-align:-0.15em;",[120,19811,19813,19816],{"className":19812},[175],[120,19814,149],{"className":19815},[175,176],[120,19817,19819],{"className":19818},[722],[120,19820,19822,19843],{"className":19821},[726,727],[120,19823,19825,19840],{"className":19824},[731],[120,19826,19829],{"className":19827,"style":19828},[735],"height:0.3117em;",[120,19830,19831,19834],{"style":739},[120,19832],{"className":19833,"style":744},[743],[120,19835,19837],{"className":19836},[748,749,750,751],[120,19838,19796],{"className":19839},[175,176,751],[120,19841,762],{"className":19842},[761],[120,19844,19846],{"className":19845},[731],[120,19847,19849],{"className":19848,"style":769},[735],[120,19850],{},"，使用累积二项式方程计算累积概率 ",[120,19853,19855,19874],{"className":19854},[123],[120,19856,19858],{"className":19857},[127],[129,19859,19860],{"xmlns":131},[133,19861,19862,19871],{},[136,19863,19864],{},[629,19865,19866,19869],{},[139,19867,19868],{},"q",[139,19870,19796],{},[154,19872,19873],{"encoding":156},"q_i",[120,19875,19877],{"className":19876,"ariaHidden":162},[161],[120,19878,19880,19883],{"className":19879},[166],[120,19881],{"className":19882,"style":6115},[170],[120,19884,19886,19889],{"className":19885},[175],[120,19887,19868],{"className":19888,"style":5677},[175,176],[120,19890,19892],{"className":19891},[722],[120,19893,19895,19916],{"className":19894},[726,727],[120,19896,19898,19913],{"className":19897},[731],[120,19899,19901],{"className":19900,"style":19828},[735],[120,19902,19904,19907],{"style":19903},"top:-2.55em;margin-left:-0.0359em;margin-right:0.05em;",[120,19905],{"className":19906,"style":744},[743],[120,19908,19910],{"className":19909},[748,749,750,751],[120,19911,19796],{"className":19912},[175,176,751],[120,19914,762],{"className":19915},[761],[120,19917,19919],{"className":19918},[731],[120,19920,19922],{"className":19921,"style":769},[735],[120,19923],{},[21,19925,19926],{},[120,19927,19929,20003],{"className":19928},[123],[120,19930,19932],{"className":19931},[127],[129,19933,19934],{"xmlns":131},[133,19935,19936,20000],{},[136,19937,19938,19940,19942,19959],{},[360,19939,3443],{},[143,19941,358],{},[660,19943,19944,19947,19957],{},[143,19945,19946],{},"∑",[136,19948,19949,19952,19954],{},[139,19950,19951],{},"k",[143,19953,358],{},[139,19955,19956],{},"j",[139,19958,1628],{},[136,19960,19961,19974,19980,19982,19984,19986,19988],{},[136,19962,19963,19965,19972],{},[143,19964,146],{"fence":162},[1043,19966,19968,19970],{"linethickness":19967},"0px",[139,19969,1628],{},[139,19971,19951],{},[143,19973,152],{"fence":162},[3621,19975,19976,19978],{},[139,19977,19868],{},[139,19979,19951],{},[143,19981,146],{"stretchy":145},[360,19983,1294],{},[143,19985,669],{},[139,19987,19868],{},[3621,19989,19990,19992],{},[143,19991,152],{"stretchy":145},[136,19993,19994,19996,19998],{},[139,19995,1628],{},[143,19997,669],{},[139,19999,19951],{},[154,20001,20002],{"encoding":156},"0.5 = \\sum_{k = j}^{N}{\\binom{N}{k}q^{k}(1 - q)^{N - k}}",[120,20004,20006,20024],{"className":20005,"ariaHidden":162},[161],[120,20007,20009,20012,20015,20018,20021],{"className":20008},[166],[120,20010],{"className":20011,"style":447},[170],[120,20013,3443],{"className":20014},[175],[120,20016],{"className":20017,"style":399},[398],[120,20019,358],{"className":20020},[403],[120,20022],{"className":20023,"style":399},[398],[120,20025,20027,20031,20101,20104],{"className":20026},[166],[120,20028],{"className":20029,"style":20030},[170],"height:1.417em;vertical-align:-0.4358em;",[120,20032,20034,20038],{"className":20033},[879],[120,20035,19946],{"className":20036,"style":20037},[879,883,884],"position:relative;top:0em;",[120,20039,20041],{"className":20040},[722],[120,20042,20044,20092],{"className":20043},[726,727],[120,20045,20047,20089],{"className":20046},[731],[120,20048,20051,20074],{"className":20049,"style":20050},[735],"height:0.9812em;",[120,20052,20054,20057],{"style":20053},"top:-2.4003em;margin-left:0em;margin-right:0.05em;",[120,20055],{"className":20056,"style":744},[743],[120,20058,20060],{"className":20059},[748,749,750,751],[120,20061,20063,20067,20070],{"className":20062},[175,751],[120,20064,19951],{"className":20065,"style":20066},[175,176,751],"margin-right:0.03148em;",[120,20068,358],{"className":20069},[403,751],[120,20071,19956],{"className":20072,"style":20073},[175,176,751],"margin-right:0.05724em;",[120,20075,20077,20080],{"style":20076},"top:-3.2029em;margin-right:0.05em;",[120,20078],{"className":20079,"style":744},[743],[120,20081,20083],{"className":20082},[748,749,750,751],[120,20084,20086],{"className":20085},[175,751],[120,20087,1628],{"className":20088,"style":1859},[175,176,751],[120,20090,762],{"className":20091},[761],[120,20093,20095],{"className":20094},[731],[120,20096,20099],{"className":20097,"style":20098},[735],"height:0.4358em;",[120,20100],{},[120,20102],{"className":20103,"style":993},[398],[120,20105,20107,20176,20209,20212,20215,20218,20221,20224,20227],{"className":20106},[175],[120,20108,20110,20116,20170],{"className":20109},[175],[120,20111,20113],{"className":20112,"style":2786},[181,2785],[120,20114,146],{"className":20115},[2790,959],[120,20117,20119],{"className":20118},[1043],[120,20120,20122,20162],{"className":20121},[726,727],[120,20123,20125,20159],{"className":20124},[731],[120,20126,20129,20144],{"className":20127,"style":20128},[735],"height:0.9223em;",[120,20130,20132,20135],{"style":20131},"top:-2.355em;",[120,20133],{"className":20134,"style":744},[743],[120,20136,20138],{"className":20137},[748,749,750,751],[120,20139,20141],{"className":20140},[175,751],[120,20142,19951],{"className":20143,"style":20066},[175,176,751],[120,20145,20147,20150],{"style":20146},"top:-3.144em;",[120,20148],{"className":20149,"style":744},[743],[120,20151,20153],{"className":20152},[748,749,750,751],[120,20154,20156],{"className":20155},[175,751],[120,20157,1628],{"className":20158,"style":1859},[175,176,751],[120,20160,762],{"className":20161},[761],[120,20163,20165],{"className":20164},[731],[120,20166,20168],{"className":20167,"style":1197},[735],[120,20169],{},[120,20171,20173],{"className":20172,"style":2786},[188,2785],[120,20174,152],{"className":20175},[2790,959],[120,20177,20179,20182],{"className":20178},[175],[120,20180,19868],{"className":20181,"style":5677},[175,176],[120,20183,20185],{"className":20184},[722],[120,20186,20188],{"className":20187},[726],[120,20189,20191],{"className":20190},[731],[120,20192,20195],{"className":20193,"style":20194},[735],"height:0.8491em;",[120,20196,20197,20200],{"style":9686},[120,20198],{"className":20199,"style":744},[743],[120,20201,20203],{"className":20202},[748,749,750,751],[120,20204,20206],{"className":20205},[175,751],[120,20207,19951],{"className":20208,"style":20066},[175,176,751],[120,20210,146],{"className":20211},[181],[120,20213,1294],{"className":20214},[175],[120,20216],{"className":20217,"style":1352},[398],[120,20219,669],{"className":20220},[1356],[120,20222],{"className":20223,"style":1352},[398],[120,20225,19868],{"className":20226,"style":5677},[175,176],[120,20228,20230,20233],{"className":20229},[188],[120,20231,152],{"className":20232},[188],[120,20234,20236],{"className":20235},[722],[120,20237,20239],{"className":20238},[726],[120,20240,20242],{"className":20241},[731],[120,20243,20245],{"className":20244,"style":20194},[735],[120,20246,20247,20250],{"style":9686},[120,20248],{"className":20249,"style":744},[743],[120,20251,20253],{"className":20252},[748,749,750,751],[120,20254,20256,20259,20262],{"className":20255},[175,751],[120,20257,1628],{"className":20258,"style":1859},[175,176,751],[120,20260,669],{"className":20261},[1356,751],[120,20263,19951],{"className":20264,"style":20066},[175,176,751],[62,20266],{"src":20267,"alt":20268,"width":20269},"/media/image24.png","秩位置",300,[21,20271,20272,20273,20345,20346,20417],{},"每个 ",[120,20274,20276,20294],{"className":20275},[123],[120,20277,20279],{"className":20278},[127],[129,20280,20281],{"xmlns":131},[133,20282,20283,20291],{},[136,20284,20285],{},[629,20286,20287,20289],{},[139,20288,149],{},[139,20290,19956],{},[154,20292,20293],{"encoding":156},"t_j",[120,20295,20297],{"className":20296,"ariaHidden":162},[161],[120,20298,20300,20304],{"className":20299},[166],[120,20301],{"className":20302,"style":20303},[170],"height:0.9012em;vertical-align:-0.2861em;",[120,20305,20307,20310],{"className":20306},[175],[120,20308,149],{"className":20309},[175,176],[120,20311,20313],{"className":20312},[722],[120,20314,20316,20336],{"className":20315},[726,727],[120,20317,20319,20333],{"className":20318},[731],[120,20320,20322],{"className":20321,"style":19828},[735],[120,20323,20324,20327],{"style":739},[120,20325],{"className":20326,"style":744},[743],[120,20328,20330],{"className":20329},[748,749,750,751],[120,20331,19956],{"className":20332,"style":20073},[175,176,751],[120,20334,762],{"className":20335},[761],[120,20337,20339],{"className":20338},[731],[120,20340,20343],{"className":20341,"style":20342},[735],"height:0.2861em;",[120,20344],{}," 对应一个累积概率 ",[120,20347,20349,20367],{"className":20348},[123],[120,20350,20352],{"className":20351},[127],[129,20353,20354],{"xmlns":131},[133,20355,20356,20364],{},[136,20357,20358],{},[629,20359,20360,20362],{},[139,20361,19868],{},[139,20363,19956],{},[154,20365,20366],{"encoding":156},"q_j",[120,20368,20370],{"className":20369,"ariaHidden":162},[161],[120,20371,20373,20377],{"className":20372},[166],[120,20374],{"className":20375,"style":20376},[170],"height:0.7167em;vertical-align:-0.2861em;",[120,20378,20380,20383],{"className":20379},[175],[120,20381,19868],{"className":20382,"style":5677},[175,176],[120,20384,20386],{"className":20385},[722],[120,20387,20389,20409],{"className":20388},[726,727],[120,20390,20392,20406],{"className":20391},[731],[120,20393,20395],{"className":20394,"style":19828},[735],[120,20396,20397,20400],{"style":19903},[120,20398],{"className":20399,"style":744},[743],[120,20401,20403],{"className":20402},[748,749,750,751],[120,20404,19956],{"className":20405,"style":20073},[175,176,751],[120,20407,762],{"className":20408},[761],[120,20410,20412],{"className":20411},[731],[120,20413,20415],{"className":20414,"style":20342},[735],[120,20416],{},"。下一步是建立概率纸。对 X 轴和 Y 轴进行变换，使目标分布的 CDF 在概率纸上呈直线。",[21,20419,20420],{},"以下各节说明如何建立概率纸，并求解指数、威布尔、正态和对数正态分布的参数。",[3590,20422,20423],{"id":20423},"指数分布",[21,20425,20426],{},"指数分布的 CDF 为：",[120,20428,20430],{"className":20429},[1588],[120,20431,20433,20525],{"className":20432},[123],[120,20434,20436],{"className":20435},[127],[129,20437,20438],{"xmlns":131,"display":1597},[133,20439,20440,20522],{},[136,20441,20442,20470,20498],{},[136,20443,20444,20446,20448,20450,20452,20454,20456,20458],{},[139,20445,253],{},[143,20447,146],{"stretchy":145},[139,20449,149],{},[143,20451,152],{"stretchy":145},[143,20453,358],{},[360,20455,1294],{},[143,20457,669],{},[3621,20459,20460,20462],{},[139,20461,3629],{},[136,20463,20464,20466,20468],{},[143,20465,669],{},[139,20467,1442],{},[139,20469,149],{},[136,20471,20472,20474,20476,20478,20480,20482,20484,20486],{},[360,20473,1294],{},[143,20475,669],{},[139,20477,253],{},[143,20479,146],{"stretchy":145},[139,20481,149],{},[143,20483,152],{"stretchy":145},[143,20485,358],{},[3621,20487,20488,20490],{},[139,20489,3629],{},[136,20491,20492,20494,20496],{},[143,20493,669],{},[139,20495,1442],{},[139,20497,149],{},[136,20499,20500,20502,20504,20506,20508,20510],{},[139,20501,1283],{},[143,20503,146],{"stretchy":145},[139,20505,149],{},[143,20507,152],{"stretchy":145},[143,20509,358],{},[3621,20511,20512,20514],{},[139,20513,3629],{},[136,20515,20516,20518,20520],{},[143,20517,669],{},[139,20519,1442],{},[139,20521,149],{},[154,20523,20524],{"encoding":156},"{F(t) = 1 - e^{- \\lambda t}\n}{1 - F(t) = e^{- \\lambda t}\n}{R(t) = e^{- \\lambda t}}",[120,20526,20528],{"className":20527,"ariaHidden":162},[161],[120,20529,20531,20535,20609,20683],{"className":20530},[166],[120,20532],{"className":20533,"style":20534},[170],"height:1.1491em;vertical-align:-0.25em;",[120,20536,20538,20541,20544,20547,20550,20553,20556,20559,20562,20565,20568,20571],{"className":20537},[175],[120,20539,253],{"className":20540,"style":275},[175,176],[120,20542,146],{"className":20543},[181],[120,20545,149],{"className":20546},[175,176],[120,20548,152],{"className":20549},[188],[120,20551],{"className":20552,"style":399},[398],[120,20554,358],{"className":20555},[403],[120,20557],{"className":20558,"style":399},[398],[120,20560,1294],{"className":20561},[175],[120,20563],{"className":20564,"style":1352},[398],[120,20566,669],{"className":20567},[1356],[120,20569],{"className":20570,"style":1352},[398],[120,20572,20574,20577],{"className":20573},[175],[120,20575,3629],{"className":20576},[175,176],[120,20578,20580],{"className":20579},[722],[120,20581,20583],{"className":20582},[726],[120,20584,20586],{"className":20585},[731],[120,20587,20589],{"className":20588,"style":4068},[735],[120,20590,20591,20594],{"style":4071},[120,20592],{"className":20593,"style":744},[743],[120,20595,20597],{"className":20596},[748,749,750,751],[120,20598,20600,20603,20606],{"className":20599},[175,751],[120,20601,669],{"className":20602},[175,751],[120,20604,1442],{"className":20605},[175,176,751],[120,20607,149],{"className":20608},[175,176,751],[120,20610,20612,20615,20618,20621,20624,20627,20630,20633,20636,20639,20642,20645],{"className":20611},[175],[120,20613,1294],{"className":20614},[175],[120,20616],{"className":20617,"style":1352},[398],[120,20619,669],{"className":20620},[1356],[120,20622],{"className":20623,"style":1352},[398],[120,20625,253],{"className":20626,"style":275},[175,176],[120,20628,146],{"className":20629},[181],[120,20631,149],{"className":20632},[175,176],[120,20634,152],{"className":20635},[188],[120,20637],{"className":20638,"style":399},[398],[120,20640,358],{"className":20641},[403],[120,20643],{"className":20644,"style":399},[398],[120,20646,20648,20651],{"className":20647},[175],[120,20649,3629],{"className":20650},[175,176],[120,20652,20654],{"className":20653},[722],[120,20655,20657],{"className":20656},[726],[120,20658,20660],{"className":20659},[731],[120,20661,20663],{"className":20662,"style":4068},[735],[120,20664,20665,20668],{"style":4071},[120,20666],{"className":20667,"style":744},[743],[120,20669,20671],{"className":20670},[748,749,750,751],[120,20672,20674,20677,20680],{"className":20673},[175,751],[120,20675,669],{"className":20676},[175,751],[120,20678,1442],{"className":20679},[175,176,751],[120,20681,149],{"className":20682},[175,176,751],[120,20684,20686,20689,20692,20695,20698,20701,20704,20707],{"className":20685},[175],[120,20687,1283],{"className":20688,"style":1320},[175,176],[120,20690,146],{"className":20691},[181],[120,20693,149],{"className":20694},[175,176],[120,20696,152],{"className":20697},[188],[120,20699],{"className":20700,"style":399},[398],[120,20702,358],{"className":20703},[403],[120,20705],{"className":20706,"style":399},[398],[120,20708,20710,20713],{"className":20709},[175],[120,20711,3629],{"className":20712},[175,176],[120,20714,20716],{"className":20715},[722],[120,20717,20719],{"className":20718},[726],[120,20720,20722],{"className":20721},[731],[120,20723,20725],{"className":20724,"style":4068},[735],[120,20726,20727,20730],{"style":4071},[120,20728],{"className":20729,"style":744},[743],[120,20731,20733],{"className":20732},[748,749,750,751],[120,20734,20736,20739,20742],{"className":20735},[175,751],[120,20737,669],{"className":20738},[175,751],[120,20740,1442],{"className":20741},[175,176,751],[120,20743,149],{"className":20744},[175,176,751],[21,20746,20747],{},"两边取自然对数：",[21,20749,20750],{},[120,20751,20753,20791],{"className":20752},[123],[120,20754,20756],{"className":20755},[127],[129,20757,20758],{"xmlns":131},[133,20759,20760,20788],{},[136,20761,20762,20764,20766,20780,20782,20784,20786],{},[139,20763,5230],{},[143,20765,5233],{},[136,20767,20768,20770,20772,20774,20776,20778],{},[143,20769,146],{"fence":162},[139,20771,1283],{},[143,20773,146],{"stretchy":145},[139,20775,149],{},[143,20777,152],{"stretchy":145},[143,20779,152],{"fence":162},[143,20781,358],{},[143,20783,669],{},[139,20785,1442],{},[139,20787,149],{},[154,20789,20790],{"encoding":156},"\\ln\\left( R(t) \\right) = - \\lambda t",[120,20792,20794,20836],{"className":20793,"ariaHidden":162},[161],[120,20795,20797,20800,20803,20806,20827,20830,20833],{"className":20796},[166],[120,20798],{"className":20799,"style":171},[170],[120,20801,5230],{"className":20802},[879],[120,20804],{"className":20805,"style":993},[398],[120,20807,20809,20812,20815,20818,20821,20824],{"className":20808},[2781],[120,20810,146],{"className":20811,"style":2786},[181,2785],[120,20813,1283],{"className":20814,"style":1320},[175,176],[120,20816,146],{"className":20817},[181],[120,20819,149],{"className":20820},[175,176],[120,20822,152],{"className":20823},[188],[120,20825,152],{"className":20826,"style":2786},[188,2785],[120,20828],{"className":20829,"style":399},[398],[120,20831,358],{"className":20832},[403],[120,20834],{"className":20835,"style":399},[398],[120,20837,20839,20843,20846,20849],{"className":20838},[166],[120,20840],{"className":20841,"style":20842},[170],"height:0.7778em;vertical-align:-0.0833em;",[120,20844,669],{"className":20845},[175],[120,20847,1442],{"className":20848},[175,176],[120,20850,149],{"className":20851},[175,176],[21,20853,20854,20855,20913,20914,20942,20943,20977],{},"因此，",[120,20856,20858,20886],{"className":20857},[123],[120,20859,20861],{"className":20860},[127],[129,20862,20863],{"xmlns":131},[133,20864,20865,20883],{},[136,20866,20867,20869,20871,20873,20875,20877,20879,20881],{},[139,20868,5230],{},[143,20870,5233],{},[143,20872,146],{"stretchy":145},[139,20874,1283],{},[143,20876,146],{"stretchy":145},[139,20878,149],{},[143,20880,152],{"stretchy":145},[143,20882,152],{"stretchy":145},[154,20884,20885],{"encoding":156},"\\ln(R(t))",[120,20887,20889],{"className":20888,"ariaHidden":162},[161],[120,20890,20892,20895,20898,20901,20904,20907,20910],{"className":20891},[166],[120,20893],{"className":20894,"style":171},[170],[120,20896,5230],{"className":20897},[879],[120,20899,146],{"className":20900},[181],[120,20902,1283],{"className":20903,"style":1320},[175,176],[120,20905,146],{"className":20906},[181],[120,20908,149],{"className":20909},[175,176],[120,20911,1187],{"className":20912},[188]," 对 ",[120,20915,20917,20930],{"className":20916},[123],[120,20918,20920],{"className":20919},[127],[129,20921,20922],{"xmlns":131},[133,20923,20924,20928],{},[136,20925,20926],{},[139,20927,149],{},[154,20929,149],{"encoding":156},[120,20931,20933],{"className":20932,"ariaHidden":162},[161],[120,20934,20936,20939],{"className":20935},[166],[120,20937],{"className":20938,"style":231},[170],[120,20940,149],{"className":20941},[175,176]," 作图将形成一条斜率为 ",[120,20944,20946,20962],{"className":20945},[123],[120,20947,20949],{"className":20948},[127],[129,20950,20951],{"xmlns":131},[133,20952,20953,20959],{},[136,20954,20955,20957],{},[143,20956,669],{},[139,20958,1442],{},[154,20960,20961],{"encoding":156},"-\\lambda",[120,20963,20965],{"className":20964,"ariaHidden":162},[161],[120,20966,20968,20971,20974],{"className":20967},[166],[120,20969],{"className":20970,"style":20842},[170],[120,20972,669],{"className":20973},[175],[120,20975,1442],{"className":20976},[175,176]," 的直线。",[62,20979],{"src":20980,"alt":20981,"width":77},"/media/image25.png","计算各失效时间对应的 ln(R(t))",[21,20983,20984,20985],{},"计算各失效时间对应的 ",[120,20986,20988,21015],{"className":20987},[123],[120,20989,20991],{"className":20990},[127],[129,20992,20993],{"xmlns":131},[133,20994,20995,21013],{},[136,20996,20997,20999,21001,21003,21005,21007,21009,21011],{},[139,20998,5230],{},[143,21000,5233],{},[143,21002,146],{"stretchy":145},[139,21004,1283],{},[143,21006,146],{"stretchy":145},[139,21008,149],{},[143,21010,152],{"stretchy":145},[143,21012,152],{"stretchy":145},[154,21014,20885],{"encoding":156},[120,21016,21018],{"className":21017,"ariaHidden":162},[161],[120,21019,21021,21024,21027,21030,21033,21036,21039],{"className":21020},[166],[120,21022],{"className":21023,"style":171},[170],[120,21025,5230],{"className":21026},[879],[120,21028,146],{"className":21029},[181],[120,21031,1283],{"className":21032,"style":1320},[175,176],[120,21034,146],{"className":21035},[181],[120,21037,149],{"className":21038},[175,176],[120,21040,1187],{"className":21041},[188],[21,21043,21044,21045,21124,21125,21213,21214,189],{},"将坐标 ",[120,21046,21048,21084],{"className":21047},[123],[120,21049,21051],{"className":21050},[127],[129,21052,21053],{"xmlns":131},[133,21054,21055,21081],{},[136,21056,21057,21059,21061,21063,21065,21067,21069,21071,21073,21075,21077,21079],{},[143,21058,146],{"stretchy":145},[139,21060,149],{},[143,21062,5577],{"separator":162},[139,21064,5230],{},[143,21066,5233],{},[143,21068,146],{"stretchy":145},[139,21070,1283],{},[143,21072,146],{"stretchy":145},[139,21074,149],{},[143,21076,152],{"stretchy":145},[143,21078,152],{"stretchy":145},[143,21080,152],{"stretchy":145},[154,21082,21083],{"encoding":156},"(t,\\ln(R(t)))",[120,21085,21087],{"className":21086,"ariaHidden":162},[161],[120,21088,21090,21093,21096,21099,21102,21105,21108,21111,21114,21117,21120],{"className":21089},[166],[120,21091],{"className":21092,"style":171},[170],[120,21094,146],{"className":21095},[181],[120,21097,149],{"className":21098},[175,176],[120,21100,5577],{"className":21101},[5661],[120,21103],{"className":21104,"style":993},[398],[120,21106,5230],{"className":21107},[879],[120,21109,146],{"className":21110},[181],[120,21112,1283],{"className":21113,"style":1320},[175,176],[120,21115,146],{"className":21116},[181],[120,21118,149],{"className":21119},[175,176],[120,21121,21123],{"className":21122},[188],")))"," 绘制在指数概率纸上。由于 ",[120,21126,21128,21156],{"className":21127},[123],[120,21129,21131],{"className":21130},[127],[129,21132,21133],{"xmlns":131},[133,21134,21135,21153],{},[136,21136,21137,21139,21141,21143,21145,21147,21149,21151],{},[139,21138,1283],{},[143,21140,146],{"stretchy":145},[139,21142,149],{},[143,21144,358],{},[360,21146,523],{},[143,21148,152],{"stretchy":145},[143,21150,358],{},[360,21152,1294],{},[154,21154,21155],{"encoding":156},"R(t=0)=1",[120,21157,21159,21183,21204],{"className":21158,"ariaHidden":162},[161],[120,21160,21162,21165,21168,21171,21174,21177,21180],{"className":21161},[166],[120,21163],{"className":21164,"style":171},[170],[120,21166,1283],{"className":21167,"style":1320},[175,176],[120,21169,146],{"className":21170},[181],[120,21172,149],{"className":21173},[175,176],[120,21175],{"className":21176,"style":399},[398],[120,21178,358],{"className":21179},[403],[120,21181],{"className":21182,"style":399},[398],[120,21184,21186,21189,21192,21195,21198,21201],{"className":21185},[166],[120,21187],{"className":21188,"style":171},[170],[120,21190,523],{"className":21191},[175],[120,21193,152],{"className":21194},[188],[120,21196],{"className":21197,"style":399},[398],[120,21199,358],{"className":21200},[403],[120,21202],{"className":21203,"style":399},[398],[120,21205,21207,21210],{"className":21206},[166],[120,21208],{"className":21209,"style":447},[170],[120,21211,1294],{"className":21212},[175],"，拟合直线必须通过 ",[120,21215,21217,21261],{"className":21216},[123],[120,21218,21220],{"className":21219},[127],[129,21221,21222],{"xmlns":131},[133,21223,21224,21258],{},[136,21225,21226,21228,21230,21232,21234,21236,21238,21240,21242,21244,21246,21248,21250,21252,21254,21256],{},[143,21227,146],{"stretchy":145},[139,21229,149],{},[143,21231,358],{},[360,21233,523],{},[143,21235,5577],{"separator":162},[139,21237,5230],{},[143,21239,5233],{},[143,21241,146],{"stretchy":145},[139,21243,1283],{},[143,21245,146],{"stretchy":145},[360,21247,523],{},[143,21249,152],{"stretchy":145},[143,21251,152],{"stretchy":145},[143,21253,358],{},[360,21255,523],{},[143,21257,152],{"stretchy":145},[154,21259,21260],{"encoding":156},"(t=0,\\ln(R(0))=0)",[120,21262,21264,21285,21327],{"className":21263,"ariaHidden":162},[161],[120,21265,21267,21270,21273,21276,21279,21282],{"className":21266},[166],[120,21268],{"className":21269,"style":171},[170],[120,21271,146],{"className":21272},[181],[120,21274,149],{"className":21275},[175,176],[120,21277],{"className":21278,"style":399},[398],[120,21280,358],{"className":21281},[403],[120,21283],{"className":21284,"style":399},[398],[120,21286,21288,21291,21294,21297,21300,21303,21306,21309,21312,21315,21318,21321,21324],{"className":21287},[166],[120,21289],{"className":21290,"style":171},[170],[120,21292,523],{"className":21293},[175],[120,21295,5577],{"className":21296},[5661],[120,21298],{"className":21299,"style":993},[398],[120,21301,5230],{"className":21302},[879],[120,21304,146],{"className":21305},[181],[120,21307,1283],{"className":21308,"style":1320},[175,176],[120,21310,146],{"className":21311},[181],[120,21313,523],{"className":21314},[175],[120,21316,1187],{"className":21317},[188],[120,21319],{"className":21320,"style":399},[398],[120,21322,358],{"className":21323},[403],[120,21325],{"className":21326,"style":399},[398],[120,21328,21330,21333,21336],{"className":21329},[166],[120,21331],{"className":21332,"style":171},[170],[120,21334,523],{"className":21335},[175],[120,21337,152],{"className":21338},[188],[62,21340],{"src":21341,"alt":21342,"width":77},"/media/image26.png","指数概率图",[21,21344,21342],{},[21,21346,21347,21348,21407,21408,189],{},"为求斜率，可在拟合线上选取一个已知 Y 值的点。当 ",[120,21349,21351,21373],{"className":21350},[123],[120,21352,21354],{"className":21353},[127],[129,21355,21356],{"xmlns":131},[133,21357,21358,21370],{},[136,21359,21360,21363,21365,21367],{},[139,21361,21362],{},"Y",[143,21364,358],{},[143,21366,669],{},[360,21368,21369],{},"2.303",[154,21371,21372],{"encoding":156},"Y=-2.303",[120,21374,21376,21395],{"className":21375,"ariaHidden":162},[161],[120,21377,21379,21382,21386,21389,21392],{"className":21378},[166],[120,21380],{"className":21381,"style":1540},[170],[120,21383,21362],{"className":21384,"style":21385},[175,176],"margin-right:0.22222em;",[120,21387],{"className":21388,"style":399},[398],[120,21390,358],{"className":21391},[403],[120,21393],{"className":21394,"style":399},[398],[120,21396,21398,21401,21404],{"className":21397},[166],[120,21399],{"className":21400,"style":1345},[170],[120,21402,669],{"className":21403},[175],[120,21405,21369],{"className":21406},[175]," 时，对应时间 ",[120,21409,21411,21430],{"className":21410},[123],[120,21412,21414],{"className":21413},[127],[129,21415,21416],{"xmlns":131},[133,21417,21418,21427],{},[136,21419,21420,21422,21424],{},[139,21421,149],{},[143,21423,358],{},[360,21425,21426],{},"75",[154,21428,21429],{"encoding":156},"t=75",[120,21431,21433,21451],{"className":21432,"ariaHidden":162},[161],[120,21434,21436,21439,21442,21445,21448],{"className":21435},[166],[120,21437],{"className":21438,"style":231},[170],[120,21440,149],{"className":21441},[175,176],[120,21443],{"className":21444,"style":399},[398],[120,21446,358],{"className":21447},[403],[120,21449],{"className":21450,"style":399},[398],[120,21452,21454,21457],{"className":21453},[166],[120,21455],{"className":21456,"style":447},[170],[120,21458,21426],{"className":21459},[175],[62,21461],{"src":21462,"alt":21463,"width":77},"/media/image27.png","从概率图求取指数分布参数",[21,21465,21466],{},"指数分布参数为：",[21,21468,21469],{},[120,21470,21472,21523],{"className":21471},[123],[120,21473,21475],{"className":21474},[127],[129,21476,21477],{"xmlns":131},[133,21478,21479,21520],{},[136,21480,21481,21483,21485,21487,21490,21492,21494,21515,21517],{},[139,21482,1442],{},[143,21484,358],{},[143,21486,669],{},[364,21488,21489],{},"斜率",[143,21491,358],{},[143,21493,669],{},[1043,21495,21496,21513],{},[136,21497,21498,21500,21502],{},[360,21499,523],{},[143,21501,669],{},[136,21503,21504,21506,21508,21511],{},[143,21505,146],{"fence":162},[143,21507,669],{},[364,21509,21510],{},"2.303 ",[143,21512,152],{"fence":162},[360,21514,21426],{},[143,21516,358],{},[360,21518,21519],{},"0.0307",[154,21521,21522],{"encoding":156},"\\lambda = -\\text{斜率} = - \\frac{0 - \\left( - \\text{2.303~} \\right)}{75} = 0.0307",[120,21524,21526,21544,21569,21685],{"className":21525,"ariaHidden":162},[161],[120,21527,21529,21532,21535,21538,21541],{"className":21528},[166],[120,21530],{"className":21531,"style":3755},[170],[120,21533,1442],{"className":21534},[175,176],[120,21536],{"className":21537,"style":399},[398],[120,21539,358],{"className":21540},[403],[120,21542],{"className":21543,"style":399},[398],[120,21545,21547,21551,21554,21560,21563,21566],{"className":21546},[166],[120,21548],{"className":21549,"style":21550},[170],"height:0.7667em;vertical-align:-0.0833em;",[120,21552,669],{"className":21553},[175],[120,21555,21557],{"className":21556},[175,419],[120,21558,21489],{"className":21559},[175,427],[120,21561],{"className":21562,"style":399},[398],[120,21564,358],{"className":21565},[403],[120,21567],{"className":21568,"style":399},[398],[120,21570,21572,21575,21578,21676,21679,21682],{"className":21571},[166],[120,21573],{"className":21574,"style":1106},[170],[120,21576,669],{"className":21577},[175],[120,21579,21581,21584,21673],{"className":21580},[175],[120,21582],{"className":21583},[181,1113],[120,21585,21587],{"className":21586},[1043],[120,21588,21590,21665],{"className":21589},[726,727],[120,21591,21593,21662],{"className":21592},[731],[120,21594,21596,21610,21618],{"className":21595,"style":1126},[735],[120,21597,21598,21601],{"style":1129},[120,21599],{"className":21600,"style":1133},[743],[120,21602,21604],{"className":21603},[748,749,750,751],[120,21605,21607],{"className":21606},[175,751],[120,21608,21426],{"className":21609},[175,751],[120,21611,21612,21615],{"style":1148},[120,21613],{"className":21614,"style":1133},[743],[120,21616],{"className":21617,"style":1156},[1155],[120,21619,21620,21623],{"style":1159},[120,21621],{"className":21622,"style":1133},[743],[120,21624,21626],{"className":21625},[748,749,750,751],[120,21627,21629,21632,21635],{"className":21628},[175,751],[120,21630,523],{"className":21631},[175,751],[120,21633,669],{"className":21634},[1356,751],[120,21636,21638,21644,21647,21656],{"className":21637},[2781,751],[120,21639,21641],{"className":21640,"style":2786},[181,751,2785],[120,21642,146],{"className":21643},[751],[120,21645,669],{"className":21646},[175,751],[120,21648,21650,21653],{"className":21649},[175,419,751],[120,21651,21369],{"className":21652},[175,751],[120,21654,423],{"className":21655},[175,751,2327],[120,21657,21659],{"className":21658,"style":2786},[188,751,2785],[120,21660,152],{"className":21661},[751],[120,21663,762],{"className":21664},[761],[120,21666,21668],{"className":21667},[731],[120,21669,21671],{"className":21670,"style":1197},[735],[120,21672],{},[120,21674],{"className":21675},[188,1113],[120,21677],{"className":21678,"style":399},[398],[120,21680,358],{"className":21681},[403],[120,21683],{"className":21684,"style":399},[398],[120,21686,21688,21691],{"className":21687},[166],[120,21689],{"className":21690,"style":447},[170],[120,21692,21519],{"className":21693},[175],[21,21695,21696],{},"单位为每单位时间。",[3590,21698,21699],{"id":21699},"威布尔分布",[21,21701,21702],{},"威布尔分布的 CDF 可以写为：",[120,21704,21706],{"className":21705},[1588],[120,21707,21709,21801],{"className":21708},[123],[120,21710,21712],{"className":21711},[127],[129,21713,21714],{"xmlns":131,"display":1597},[133,21715,21716,21798],{},[136,21717,21718,21758],{},[136,21719,21720,21722,21724,21726,21728,21730,21732,21734],{},[139,21721,300],{},[143,21723,146],{"stretchy":145},[139,21725,149],{},[143,21727,152],{"stretchy":145},[143,21729,358],{},[360,21731,1294],{},[143,21733,669],{},[3621,21735,21736,21738],{},[139,21737,3629],{},[136,21739,21740,21742],{},[143,21741,669],{},[3621,21743,21744,21756],{},[136,21745,21746,21748,21754],{},[143,21747,146],{"fence":162},[1043,21749,21750,21752],{},[139,21751,149],{},[139,21753,5580],{},[143,21755,152],{"fence":162},[139,21757,5525],{},[136,21759,21760,21762,21764,21766,21768,21770,21772,21774],{},[360,21761,1294],{},[143,21763,669],{},[139,21765,300],{},[143,21767,146],{"stretchy":145},[139,21769,149],{},[143,21771,152],{"stretchy":145},[143,21773,358],{},[3621,21775,21776,21778],{},[139,21777,3629],{},[136,21779,21780,21782],{},[143,21781,669],{},[3621,21783,21784,21796],{},[136,21785,21786,21788,21794],{},[143,21787,146],{"fence":162},[1043,21789,21790,21792],{},[139,21791,149],{},[139,21793,5580],{},[143,21795,152],{"fence":162},[139,21797,5525],{},[154,21799,21800],{"encoding":156},"{Q(t) = 1 - e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}\n}{1 - Q(t) = e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}}",[120,21802,21804],{"className":21803,"ariaHidden":162},[161],[120,21805,21807,21811,21991],{"className":21806},[166],[120,21808],{"className":21809,"style":21810},[170],"height:1.4935em;vertical-align:-0.25em;",[120,21812,21814,21817,21820,21823,21826,21829,21832,21835,21838,21841,21844,21847],{"className":21813},[175],[120,21815,300],{"className":21816},[175,176],[120,21818,146],{"className":21819},[181],[120,21821,149],{"className":21822},[175,176],[120,21824,152],{"className":21825},[188],[120,21827],{"className":21828,"style":399},[398],[120,21830,358],{"className":21831},[403],[120,21833],{"className":21834,"style":399},[398],[120,21836,1294],{"className":21837},[175],[120,21839],{"className":21840,"style":1352},[398],[120,21842,669],{"className":21843},[1356],[120,21845],{"className":21846,"style":1352},[398],[120,21848,21850,21853],{"className":21849},[175],[120,21851,3629],{"className":21852},[175,176],[120,21854,21856],{"className":21855},[722],[120,21857,21859],{"className":21858},[726],[120,21860,21862],{"className":21861},[731],[120,21863,21865],{"className":21864,"style":5913},[735],[120,21866,21867,21870],{"style":5916},[120,21868],{"className":21869,"style":1133},[743],[120,21871,21873],{"className":21872},[748,749,750,751],[120,21874,21876,21879],{"className":21875},[175,751],[120,21877,669],{"className":21878},[175,751],[120,21880,21882,21965],{"className":21881},[2781,751],[120,21883,21885,21891,21959],{"className":21884},[2781,751],[120,21886,21888],{"className":21887,"style":5942},[181,748,958,5941,751,2785],[120,21889,146],{"className":21890},[751],[120,21892,21894,21897,21956],{"className":21893},[175,751],[120,21895],{"className":21896},[181,1113,748,958,5941],[120,21898,21900],{"className":21899},[1043],[120,21901,21903,21948],{"className":21902},[726,727],[120,21904,21906,21945],{"className":21905},[731],[120,21907,21909,21923,21931],{"className":21908,"style":5964},[735],[120,21910,21911,21914],{"style":5967},[120,21912],{"className":21913,"style":1133},[743],[120,21915,21917],{"className":21916},[748,958,959,751],[120,21918,21920],{"className":21919},[175,751],[120,21921,5580],{"className":21922,"style":5677},[175,176,751],[120,21924,21925,21928],{"style":5982},[120,21926],{"className":21927,"style":1133},[743],[120,21929],{"className":21930,"style":5989},[1155,751],[120,21932,21933,21936],{"style":5992},[120,21934],{"className":21935,"style":1133},[743],[120,21937,21939],{"className":21938},[748,958,959,751],[120,21940,21942],{"className":21941},[175,751],[120,21943,149],{"className":21944},[175,176,751],[120,21946,762],{"className":21947},[761],[120,21949,21951],{"className":21950},[731],[120,21952,21954],{"className":21953,"style":6014},[735],[120,21955],{},[120,21957],{"className":21958},[188,1113,748,958,5941],[120,21960,21962],{"className":21961,"style":5942},[188,748,958,5941,751,2785],[120,21963,152],{"className":21964},[751],[120,21966,21968],{"className":21967},[722],[120,21969,21971],{"className":21970},[726],[120,21972,21974],{"className":21973},[731],[120,21975,21977],{"className":21976,"style":6038},[735],[120,21978,21979,21982],{"style":6041},[120,21980],{"className":21981,"style":954},[743],[120,21983,21985],{"className":21984},[748,958,959,751],[120,21986,21988],{"className":21987},[175,751],[120,21989,5525],{"className":21990,"style":5542},[175,176,751],[120,21992,21994,21997,22000,22003,22006,22009,22012,22015,22018,22021,22024,22027],{"className":21993},[175],[120,21995,1294],{"className":21996},[175],[120,21998],{"className":21999,"style":1352},[398],[120,22001,669],{"className":22002},[1356],[120,22004],{"className":22005,"style":1352},[398],[120,22007,300],{"className":22008},[175,176],[120,22010,146],{"className":22011},[181],[120,22013,149],{"className":22014},[175,176],[120,22016,152],{"className":22017},[188],[120,22019],{"className":22020,"style":399},[398],[120,22022,358],{"className":22023},[403],[120,22025],{"className":22026,"style":399},[398],[120,22028,22030,22033],{"className":22029},[175],[120,22031,3629],{"className":22032},[175,176],[120,22034,22036],{"className":22035},[722],[120,22037,22039],{"className":22038},[726],[120,22040,22042],{"className":22041},[731],[120,22043,22045],{"className":22044,"style":5913},[735],[120,22046,22047,22050],{"style":5916},[120,22048],{"className":22049,"style":1133},[743],[120,22051,22053],{"className":22052},[748,749,750,751],[120,22054,22056,22059],{"className":22055},[175,751],[120,22057,669],{"className":22058},[175,751],[120,22060,22062,22145],{"className":22061},[2781,751],[120,22063,22065,22071,22139],{"className":22064},[2781,751],[120,22066,22068],{"className":22067,"style":5942},[181,748,958,5941,751,2785],[120,22069,146],{"className":22070},[751],[120,22072,22074,22077,22136],{"className":22073},[175,751],[120,22075],{"className":22076},[181,1113,748,958,5941],[120,22078,22080],{"className":22079},[1043],[120,22081,22083,22128],{"className":22082},[726,727],[120,22084,22086,22125],{"className":22085},[731],[120,22087,22089,22103,22111],{"className":22088,"style":5964},[735],[120,22090,22091,22094],{"style":5967},[120,22092],{"className":22093,"style":1133},[743],[120,22095,22097],{"className":22096},[748,958,959,751],[120,22098,22100],{"className":22099},[175,751],[120,22101,5580],{"className":22102,"style":5677},[175,176,751],[120,22104,22105,22108],{"style":5982},[120,22106],{"className":22107,"style":1133},[743],[120,22109],{"className":22110,"style":5989},[1155,751],[120,22112,22113,22116],{"style":5992},[120,22114],{"className":22115,"style":1133},[743],[120,22117,22119],{"className":22118},[748,958,959,751],[120,22120,22122],{"className":22121},[175,751],[120,22123,149],{"className":22124},[175,176,751],[120,22126,762],{"className":22127},[761],[120,22129,22131],{"className":22130},[731],[120,22132,22134],{"className":22133,"style":6014},[735],[120,22135],{},[120,22137],{"className":22138},[188,1113,748,958,5941],[120,22140,22142],{"className":22141,"style":5942},[188,748,958,5941,751,2785],[120,22143,152],{"className":22144},[751],[120,22146,22148],{"className":22147},[722],[120,22149,22151],{"className":22150},[726],[120,22152,22154],{"className":22153},[731],[120,22155,22157],{"className":22156,"style":6038},[735],[120,22158,22159,22162],{"style":6041},[120,22160],{"className":22161,"style":954},[743],[120,22163,22165],{"className":22164},[748,958,959,751],[120,22166,22168],{"className":22167},[175,751],[120,22169,5525],{"className":22170,"style":5542},[175,176,751],[21,22172,22173],{},[120,22174,22176,22262],{"className":22175},[123],[120,22177,22179],{"className":22178},[127],[129,22180,22181],{"xmlns":131},[133,22182,22183,22259],{},[136,22184,22185,22187,22189,22191,22193,22227,22229,22231,22233,22235,22237,22239,22241,22243,22245,22247,22249,22251,22253,22255,22257],{},[143,22186,2682],{},[364,22188,423],{},[139,22190,13288],{},[139,22192,9521],{},[136,22194,22195,22197,22199,22201,22225],{},[143,22196,146],{"fence":162},[139,22198,5230],{},[143,22200,5233],{},[136,22202,22203,22205,22223],{},[143,22204,146],{"fence":162},[1043,22206,22207,22209],{},[360,22208,1294],{},[136,22210,22211,22213,22215,22217,22219,22221],{},[360,22212,1294],{},[143,22214,669],{},[139,22216,300],{},[143,22218,146],{"stretchy":145},[139,22220,149],{},[143,22222,152],{"stretchy":145},[143,22224,152],{"fence":162},[143,22226,152],{"fence":162},[143,22228,358],{},[139,22230,5525],{},[143,22232,1693],{},[139,22234,13288],{},[139,22236,9521],{},[143,22238,146],{"stretchy":145},[139,22240,149],{},[143,22242,152],{"stretchy":145},[143,22244,669],{},[139,22246,5525],{},[143,22248,1693],{},[139,22250,13288],{},[139,22252,9521],{},[143,22254,146],{"stretchy":145},[139,22256,5580],{},[143,22258,152],{"stretchy":145},[154,22260,22261],{"encoding":156},"\\Rightarrow \\ ln\\left( \\ln\\left( \\frac{1}{1 - Q(t)} \\right) \\right) = \\beta \\bullet ln(t) - \\beta \\bullet ln(\\eta)",[120,22263,22265,22281,22424,22442,22472,22490],{"className":22264,"ariaHidden":162},[161],[120,22266,22268,22272,22275,22278],{"className":22267},[166],[120,22269],{"className":22270,"style":22271},[170],"height:0.3669em;",[120,22273,2682],{"className":22274},[403],[120,22276,423],{"className":22277},[398],[120,22279],{"className":22280,"style":399},[398],[120,22282,22284,22287,22290,22293,22296,22415,22418,22421],{"className":22283},[166],[120,22285],{"className":22286,"style":3456},[170],[120,22288,13288],{"className":22289,"style":13717},[175,176],[120,22291,9521],{"className":22292},[175,176],[120,22294],{"className":22295,"style":993},[398],[120,22297,22299,22305,22308,22311,22409],{"className":22298},[2781],[120,22300,22302],{"className":22301,"style":2786},[181,2785],[120,22303,146],{"className":22304},[2790,3472],[120,22306,5230],{"className":22307},[879],[120,22309],{"className":22310,"style":993},[398],[120,22312,22314,22320,22403],{"className":22313},[2781],[120,22315,22317],{"className":22316,"style":2786},[181,2785],[120,22318,146],{"className":22319},[2790,3472],[120,22321,22323,22326,22400],{"className":22322},[175],[120,22324],{"className":22325},[181,1113],[120,22327,22329],{"className":22328},[1043],[120,22330,22332,22392],{"className":22331},[726,727],[120,22333,22335,22389],{"className":22334},[731],[120,22336,22338,22367,22375],{"className":22337,"style":9429},[735],[120,22339,22340,22343],{"style":1129},[120,22341],{"className":22342,"style":1133},[743],[120,22344,22346],{"className":22345},[748,749,750,751],[120,22347,22349,22352,22355,22358,22361,22364],{"className":22348},[175,751],[120,22350,1294],{"className":22351},[175,751],[120,22353,669],{"className":22354},[1356,751],[120,22356,300],{"className":22357},[175,176,751],[120,22359,146],{"className":22360},[181,751],[120,22362,149],{"className":22363},[175,176,751],[120,22365,152],{"className":22366},[188,751],[120,22368,22369,22372],{"style":1148},[120,22370],{"className":22371,"style":1133},[743],[120,22373],{"className":22374,"style":1156},[1155],[120,22376,22377,22380],{"style":1879},[120,22378],{"className":22379,"style":1133},[743],[120,22381,22383],{"className":22382},[748,749,750,751],[120,22384,22386],{"className":22385},[175,751],[120,22387,1294],{"className":22388},[175,751],[120,22390,762],{"className":22391},[761],[120,22393,22395],{"className":22394},[731],[120,22396,22398],{"className":22397,"style":1904},[735],[120,22399],{},[120,22401],{"className":22402},[188,1113],[120,22404,22406],{"className":22405,"style":2786},[188,2785],[120,22407,152],{"className":22408},[2790,3472],[120,22410,22412],{"className":22411,"style":2786},[188,2785],[120,22413,152],{"className":22414},[2790,3472],[120,22416],{"className":22417,"style":399},[398],[120,22419,358],{"className":22420},[403],[120,22422],{"className":22423,"style":399},[398],[120,22425,22427,22430,22433,22436,22439],{"className":22426},[166],[120,22428],{"className":22429,"style":5538},[170],[120,22431,5525],{"className":22432,"style":5542},[175,176],[120,22434],{"className":22435,"style":1352},[398],[120,22437,1693],{"className":22438},[1356],[120,22440],{"className":22441,"style":1352},[398],[120,22443,22445,22448,22451,22454,22457,22460,22463,22466,22469],{"className":22444},[166],[120,22446],{"className":22447,"style":171},[170],[120,22449,13288],{"className":22450,"style":13717},[175,176],[120,22452,9521],{"className":22453},[175,176],[120,22455,146],{"className":22456},[181],[120,22458,149],{"className":22459},[175,176],[120,22461,152],{"className":22462},[188],[120,22464],{"className":22465,"style":1352},[398],[120,22467,669],{"className":22468},[1356],[120,22470],{"className":22471,"style":1352},[398],[120,22473,22475,22478,22481,22484,22487],{"className":22474},[166],[120,22476],{"className":22477,"style":5538},[170],[120,22479,5525],{"className":22480,"style":5542},[175,176],[120,22482],{"className":22483,"style":1352},[398],[120,22485,1693],{"className":22486},[1356],[120,22488],{"className":22489,"style":1352},[398],[120,22491,22493,22496,22499,22502,22505,22508],{"className":22492},[166],[120,22494],{"className":22495,"style":171},[170],[120,22497,13288],{"className":22498,"style":13717},[175,176],[120,22500,9521],{"className":22501},[175,176],[120,22503,146],{"className":22504},[181],[120,22506,5580],{"className":22507,"style":5677},[175,176],[120,22509,152],{"className":22510},[188],[21,22512,22513,22514,22594],{},"将方程线性化为 ",[120,22515,22517,22543],{"className":22516},[123],[120,22518,22520],{"className":22519},[127],[129,22521,22522],{"xmlns":131},[133,22523,22524,22540],{},[136,22525,22526,22528,22530,22532,22535,22537],{},[139,22527,21362],{},[143,22529,358],{},[139,22531,5525],{},[139,22533,22534],{},"X",[143,22536,2646],{},[139,22538,22539],{},"C",[154,22541,22542],{"encoding":156},"Y=\\beta X+C",[120,22544,22546,22564,22584],{"className":22545,"ariaHidden":162},[161],[120,22547,22549,22552,22555,22558,22561],{"className":22548},[166],[120,22550],{"className":22551,"style":1540},[170],[120,22553,21362],{"className":22554,"style":21385},[175,176],[120,22556],{"className":22557,"style":399},[398],[120,22559,358],{"className":22560},[403],[120,22562],{"className":22563,"style":399},[398],[120,22565,22567,22570,22575,22578,22581],{"className":22566},[166],[120,22568],{"className":22569,"style":5538},[170],[120,22571,22574],{"className":22572,"style":22573},[175,176],"margin-right:0.07847em;","βX",[120,22576],{"className":22577,"style":1352},[398],[120,22579,2646],{"className":22580},[1356],[120,22582],{"className":22583,"style":1352},[398],[120,22585,22587,22590],{"className":22586},[166],[120,22588],{"className":22589,"style":1540},[170],[120,22591,22539],{"className":22592,"style":22593},[175,176],"margin-right:0.07153em;","，其中：",[21,22596,22597],{},[120,22598,22600,22654],{"className":22599},[123],[120,22601,22603],{"className":22602},[127],[129,22604,22605],{"xmlns":131},[133,22606,22607,22651],{},[136,22608,22609,22611,22613,22615,22617],{},[139,22610,21362],{},[143,22612,358],{},[139,22614,13288],{},[139,22616,9521],{},[136,22618,22619,22621,22623,22625,22649],{},[143,22620,146],{"fence":162},[139,22622,5230],{},[143,22624,5233],{},[136,22626,22627,22629,22647],{},[143,22628,146],{"fence":162},[1043,22630,22631,22633],{},[360,22632,1294],{},[136,22634,22635,22637,22639,22641,22643,22645],{},[360,22636,1294],{},[143,22638,669],{},[139,22640,300],{},[143,22642,146],{"stretchy":145},[139,22644,149],{},[143,22646,152],{"stretchy":145},[143,22648,152],{"fence":162},[143,22650,152],{"fence":162},[154,22652,22653],{"encoding":156},"Y = ln\\left( \\ln\\left( \\frac{1}{1 - Q(t)} \\right) \\right)",[120,22655,22657,22675],{"className":22656,"ariaHidden":162},[161],[120,22658,22660,22663,22666,22669,22672],{"className":22659},[166],[120,22661],{"className":22662,"style":1540},[170],[120,22664,21362],{"className":22665,"style":21385},[175,176],[120,22667],{"className":22668,"style":399},[398],[120,22670,358],{"className":22671},[403],[120,22673],{"className":22674,"style":399},[398],[120,22676,22678,22681,22684,22687,22690],{"className":22677},[166],[120,22679],{"className":22680,"style":3456},[170],[120,22682,13288],{"className":22683,"style":13717},[175,176],[120,22685,9521],{"className":22686},[175,176],[120,22688],{"className":22689,"style":993},[398],[120,22691,22693,22699,22702,22705,22803],{"className":22692},[2781],[120,22694,22696],{"className":22695,"style":2786},[181,2785],[120,22697,146],{"className":22698},[2790,3472],[120,22700,5230],{"className":22701},[879],[120,22703],{"className":22704,"style":993},[398],[120,22706,22708,22714,22797],{"className":22707},[2781],[120,22709,22711],{"className":22710,"style":2786},[181,2785],[120,22712,146],{"className":22713},[2790,3472],[120,22715,22717,22720,22794],{"className":22716},[175],[120,22718],{"className":22719},[181,1113],[120,22721,22723],{"className":22722},[1043],[120,22724,22726,22786],{"className":22725},[726,727],[120,22727,22729,22783],{"className":22728},[731],[120,22730,22732,22761,22769],{"className":22731,"style":9429},[735],[120,22733,22734,22737],{"style":1129},[120,22735],{"className":22736,"style":1133},[743],[120,22738,22740],{"className":22739},[748,749,750,751],[120,22741,22743,22746,22749,22752,22755,22758],{"className":22742},[175,751],[120,22744,1294],{"className":22745},[175,751],[120,22747,669],{"className":22748},[1356,751],[120,22750,300],{"className":22751},[175,176,751],[120,22753,146],{"className":22754},[181,751],[120,22756,149],{"className":22757},[175,176,751],[120,22759,152],{"className":22760},[188,751],[120,22762,22763,22766],{"style":1148},[120,22764],{"className":22765,"style":1133},[743],[120,22767],{"className":22768,"style":1156},[1155],[120,22770,22771,22774],{"style":1879},[120,22772],{"className":22773,"style":1133},[743],[120,22775,22777],{"className":22776},[748,749,750,751],[120,22778,22780],{"className":22779},[175,751],[120,22781,1294],{"className":22782},[175,751],[120,22784,762],{"className":22785},[761],[120,22787,22789],{"className":22788},[731],[120,22790,22792],{"className":22791,"style":1904},[735],[120,22793],{},[120,22795],{"className":22796},[188,1113],[120,22798,22800],{"className":22799,"style":2786},[188,2785],[120,22801,152],{"className":22802},[2790,3472],[120,22804,22806],{"className":22805,"style":2786},[188,2785],[120,22807,152],{"className":22808},[2790,3472],[21,22810,22811],{},[120,22812,22814,22840],{"className":22813},[123],[120,22815,22817],{"className":22816},[127],[129,22818,22819],{"xmlns":131},[133,22820,22821,22837],{},[136,22822,22823,22825,22827,22829,22831,22833,22835],{},[139,22824,22534],{},[143,22826,358],{},[139,22828,13288],{},[139,22830,9521],{},[143,22832,146],{"stretchy":145},[139,22834,149],{},[143,22836,152],{"stretchy":145},[154,22838,22839],{"encoding":156},"X = ln(t)",[120,22841,22843,22861],{"className":22842,"ariaHidden":162},[161],[120,22844,22846,22849,22852,22855,22858],{"className":22845},[166],[120,22847],{"className":22848,"style":1540},[170],[120,22850,22534],{"className":22851,"style":22573},[175,176],[120,22853],{"className":22854,"style":399},[398],[120,22856,358],{"className":22857},[403],[120,22859],{"className":22860,"style":399},[398],[120,22862,22864,22867,22870,22873,22876,22879],{"className":22863},[166],[120,22865],{"className":22866,"style":171},[170],[120,22868,13288],{"className":22869,"style":13717},[175,176],[120,22871,9521],{"className":22872},[175,176],[120,22874,146],{"className":22875},[181],[120,22877,149],{"className":22878},[175,176],[120,22880,152],{"className":22881},[188],[21,22883,22884],{},[120,22885,22887,22905],{"className":22886},[123],[120,22888,22890],{"className":22889},[127],[129,22891,22892],{"xmlns":131},[133,22893,22894,22902],{},[136,22895,22896,22898,22900],{},[364,22897,21489],{},[143,22899,358],{},[139,22901,5525],{},[154,22903,22904],{"encoding":156},"\\text{斜率} = \\beta",[120,22906,22908,22929],{"className":22907,"ariaHidden":162},[161],[120,22909,22911,22914,22920,22923,22926],{"className":22910},[166],[120,22912],{"className":22913,"style":1540},[170],[120,22915,22917],{"className":22916},[175,419],[120,22918,21489],{"className":22919},[175,427],[120,22921],{"className":22922,"style":399},[398],[120,22924,358],{"className":22925},[403],[120,22927],{"className":22928,"style":399},[398],[120,22930,22932,22935],{"className":22931},[166],[120,22933],{"className":22934,"style":5538},[170],[120,22936,5525],{"className":22937,"style":5542},[175,176],[21,22939,22940,22941,20977],{},"因此，Y 对 X 作图将形成一条斜率为 ",[120,22942,22944,22957],{"className":22943},[123],[120,22945,22947],{"className":22946},[127],[129,22948,22949],{"xmlns":131},[133,22950,22951,22955],{},[136,22952,22953],{},[139,22954,5525],{},[154,22956,5528],{"encoding":156},[120,22958,22960],{"className":22959,"ariaHidden":162},[161],[120,22961,22963,22966],{"className":22962},[166],[120,22964],{"className":22965,"style":5538},[170],[120,22967,5525],{"className":22968,"style":5542},[175,176],[62,22970],{"src":22971,"alt":22972,"width":77},"/media/image28.png","计算各失效时间对应的 X 和 Y",[21,22974,22972],{},[21,22976,21044,22977,23029],{},[120,22978,22980,23002],{"className":22979},[123],[120,22981,22983],{"className":22982},[127],[129,22984,22985],{"xmlns":131},[133,22986,22987,22999],{},[136,22988,22989,22991,22993,22995,22997],{},[143,22990,146],{"stretchy":145},[139,22992,22534],{},[143,22994,5577],{"separator":162},[139,22996,21362],{},[143,22998,152],{"stretchy":145},[154,23000,23001],{"encoding":156},"(X,Y)",[120,23003,23005],{"className":23004,"ariaHidden":162},[161],[120,23006,23008,23011,23014,23017,23020,23023,23026],{"className":23007},[166],[120,23009],{"className":23010,"style":171},[170],[120,23012,146],{"className":23013},[181],[120,23015,22534],{"className":23016,"style":22573},[175,176],[120,23018,5577],{"className":23019},[5661],[120,23021],{"className":23022,"style":993},[398],[120,23024,21362],{"className":23025,"style":21385},[175,176],[120,23027,152],{"className":23028},[188]," 绘制在威布尔概率纸上。",[62,23031],{"src":23032,"alt":23033,"width":66},"/media/image29.png","威布尔概率图",[21,23035,23033],{},[21,23037,23038],{},"由威布尔 CDF：",[21,23040,23041],{},[120,23042,23044,23094],{"className":23043},[123],[120,23045,23047],{"className":23046},[127],[129,23048,23049],{"xmlns":131},[133,23050,23051,23091],{},[136,23052,23053,23055,23057,23059,23061,23063,23065,23067],{},[139,23054,300],{},[143,23056,146],{"stretchy":145},[139,23058,149],{},[143,23060,152],{"stretchy":145},[143,23062,358],{},[360,23064,1294],{},[143,23066,669],{},[3621,23068,23069,23071],{},[139,23070,3629],{},[136,23072,23073,23075],{},[143,23074,669],{},[3621,23076,23077,23089],{},[136,23078,23079,23081,23087],{},[143,23080,146],{"fence":162},[1043,23082,23083,23085],{},[139,23084,149],{},[139,23086,5580],{},[143,23088,152],{"fence":162},[139,23090,5525],{},[154,23092,23093],{"encoding":156},"Q(t) = 1 - e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}",[120,23095,23097,23124,23142],{"className":23096,"ariaHidden":162},[161],[120,23098,23100,23103,23106,23109,23112,23115,23118,23121],{"className":23099},[166],[120,23101],{"className":23102,"style":171},[170],[120,23104,300],{"className":23105},[175,176],[120,23107,146],{"className":23108},[181],[120,23110,149],{"className":23111},[175,176],[120,23113,152],{"className":23114},[188],[120,23116],{"className":23117,"style":399},[398],[120,23119,358],{"className":23120},[403],[120,23122],{"className":23123,"style":399},[398],[120,23125,23127,23130,23133,23136,23139],{"className":23126},[166],[120,23128],{"className":23129,"style":1345},[170],[120,23131,1294],{"className":23132},[175],[120,23134],{"className":23135,"style":1352},[398],[120,23137,669],{"className":23138},[1356],[120,23140],{"className":23141,"style":1352},[398],[120,23143,23145,23148],{"className":23144},[166],[120,23146],{"className":23147,"style":5913},[170],[120,23149,23151,23154],{"className":23150},[175],[120,23152,3629],{"className":23153},[175,176],[120,23155,23157],{"className":23156},[722],[120,23158,23160],{"className":23159},[726],[120,23161,23163],{"className":23162},[731],[120,23164,23166],{"className":23165,"style":5913},[735],[120,23167,23168,23171],{"style":5916},[120,23169],{"className":23170,"style":1133},[743],[120,23172,23174],{"className":23173},[748,749,750,751],[120,23175,23177,23180],{"className":23176},[175,751],[120,23178,669],{"className":23179},[175,751],[120,23181,23183,23266],{"className":23182},[2781,751],[120,23184,23186,23192,23260],{"className":23185},[2781,751],[120,23187,23189],{"className":23188,"style":5942},[181,748,958,5941,751,2785],[120,23190,146],{"className":23191},[751],[120,23193,23195,23198,23257],{"className":23194},[175,751],[120,23196],{"className":23197},[181,1113,748,958,5941],[120,23199,23201],{"className":23200},[1043],[120,23202,23204,23249],{"className":23203},[726,727],[120,23205,23207,23246],{"className":23206},[731],[120,23208,23210,23224,23232],{"className":23209,"style":5964},[735],[120,23211,23212,23215],{"style":5967},[120,23213],{"className":23214,"style":1133},[743],[120,23216,23218],{"className":23217},[748,958,959,751],[120,23219,23221],{"className":23220},[175,751],[120,23222,5580],{"className":23223,"style":5677},[175,176,751],[120,23225,23226,23229],{"style":5982},[120,23227],{"className":23228,"style":1133},[743],[120,23230],{"className":23231,"style":5989},[1155,751],[120,23233,23234,23237],{"style":5992},[120,23235],{"className":23236,"style":1133},[743],[120,23238,23240],{"className":23239},[748,958,959,751],[120,23241,23243],{"className":23242},[175,751],[120,23244,149],{"className":23245},[175,176,751],[120,23247,762],{"className":23248},[761],[120,23250,23252],{"className":23251},[731],[120,23253,23255],{"className":23254,"style":6014},[735],[120,23256],{},[120,23258],{"className":23259},[188,1113,748,958,5941],[120,23261,23263],{"className":23262,"style":5942},[188,748,958,5941,751,2785],[120,23264,152],{"className":23265},[751],[120,23267,23269],{"className":23268},[722],[120,23270,23272],{"className":23271},[726],[120,23273,23275],{"className":23274},[731],[120,23276,23278],{"className":23277,"style":6038},[735],[120,23279,23280,23283],{"style":6041},[120,23281],{"className":23282,"style":954},[743],[120,23284,23286],{"className":23285},[748,958,959,751],[120,23287,23289],{"className":23288},[175,751],[120,23290,5525],{"className":23291,"style":5542},[175,176,751],[21,23293,23294,23295,23346],{},"令 ",[120,23296,23298,23316],{"className":23297},[123],[120,23299,23301],{"className":23300},[127],[129,23302,23303],{"xmlns":131},[133,23304,23305,23313],{},[136,23306,23307,23309,23311],{},[139,23308,149],{},[143,23310,358],{},[139,23312,5580],{},[154,23314,23315],{"encoding":156},"t=\\eta",[120,23317,23319,23337],{"className":23318,"ariaHidden":162},[161],[120,23320,23322,23325,23328,23331,23334],{"className":23321},[166],[120,23323],{"className":23324,"style":231},[170],[120,23326,149],{"className":23327},[175,176],[120,23329],{"className":23330,"style":399},[398],[120,23332,358],{"className":23333},[403],[120,23335],{"className":23336,"style":399},[398],[120,23338,23340,23343],{"className":23339},[166],[120,23341],{"className":23342,"style":6115},[170],[120,23344,5580],{"className":23345,"style":5677},[175,176],"，则：",[21,23348,23349],{},[120,23350,23352,23404],{"className":23351},[123],[120,23353,23355],{"className":23354},[127],[129,23356,23357],{"xmlns":131},[133,23358,23359,23401],{},[136,23360,23361,23363,23365,23367,23369,23371,23373,23375,23393,23395,23398],{},[139,23362,300],{},[143,23364,146],{"stretchy":145},[139,23366,5580],{},[143,23368,152],{"stretchy":145},[143,23370,358],{},[360,23372,1294],{},[143,23374,669],{},[3621,23376,23377,23379],{},[139,23378,3629],{},[136,23380,23381,23383,23385,23387],{},[143,23382,669],{},[143,23384,146],{"stretchy":145},[360,23386,1294],{},[3621,23388,23389,23391],{},[143,23390,152],{"stretchy":145},[139,23392,5525],{},[143,23394,358],{},[360,23396,23397],{},"63.1",[139,23399,23400],{"mathvariant":672},"%",[154,23402,23403],{"encoding":156},"Q(\\eta) = 1 - e^{- (1)^{\\beta}} = 63.1\\%",[120,23405,23407,23434,23452,23539],{"className":23406,"ariaHidden":162},[161],[120,23408,23410,23413,23416,23419,23422,23425,23428,23431],{"className":23409},[166],[120,23411],{"className":23412,"style":171},[170],[120,23414,300],{"className":23415},[175,176],[120,23417,146],{"className":23418},[181],[120,23420,5580],{"className":23421,"style":5677},[175,176],[120,23423,152],{"className":23424},[188],[120,23426],{"className":23427,"style":399},[398],[120,23429,358],{"className":23430},[403],[120,23432],{"className":23433,"style":399},[398],[120,23435,23437,23440,23443,23446,23449],{"className":23436},[166],[120,23438],{"className":23439,"style":1345},[170],[120,23441,1294],{"className":23442},[175],[120,23444],{"className":23445,"style":1352},[398],[120,23447,669],{"className":23448},[1356],[120,23450],{"className":23451,"style":1352},[398],[120,23453,23455,23459,23530,23533,23536],{"className":23454},[166],[120,23456],{"className":23457,"style":23458},[170],"height:1.0119em;",[120,23460,23462,23465],{"className":23461},[175],[120,23463,3629],{"className":23464},[175,176],[120,23466,23468],{"className":23467},[722],[120,23469,23471],{"className":23470},[726],[120,23472,23474],{"className":23473},[731],[120,23475,23477],{"className":23476,"style":23458},[735],[120,23478,23479,23482],{"style":9686},[120,23480],{"className":23481,"style":744},[743],[120,23483,23485],{"className":23484},[748,749,750,751],[120,23486,23488,23491,23494,23497],{"className":23487},[175,751],[120,23489,669],{"className":23490},[175,751],[120,23492,146],{"className":23493},[181,751],[120,23495,1294],{"className":23496},[175,751],[120,23498,23500,23503],{"className":23499},[188,751],[120,23501,152],{"className":23502},[188,751],[120,23504,23506],{"className":23505},[722],[120,23507,23509],{"className":23508},[726],[120,23510,23512],{"className":23511},[731],[120,23513,23516],{"className":23514,"style":23515},[735],"height:0.927em;",[120,23517,23518,23521],{"style":15313},[120,23519],{"className":23520,"style":954},[743],[120,23522,23524],{"className":23523},[748,958,959,751],[120,23525,23527],{"className":23526},[175,751],[120,23528,5525],{"className":23529,"style":5542},[175,176,751],[120,23531],{"className":23532,"style":399},[398],[120,23534,358],{"className":23535},[403],[120,23537],{"className":23538,"style":399},[398],[120,23540,23542,23546],{"className":23541},[166],[120,23543],{"className":23544,"style":23545},[170],"height:0.8056em;vertical-align:-0.0556em;",[120,23547,23549],{"className":23548},[175],"63.1%",[21,23551,20854,23552,23606,23607,23635],{},[120,23553,23555,23575],{"className":23554},[123],[120,23556,23558],{"className":23557},[127],[129,23559,23560],{"xmlns":131},[133,23561,23562,23572],{},[136,23563,23564,23566,23568,23570],{},[139,23565,300],{},[143,23567,358],{},[360,23569,23397],{},[139,23571,23400],{"mathvariant":672},[154,23573,23574],{"encoding":156},"Q=63.1\\%",[120,23576,23578,23597],{"className":23577,"ariaHidden":162},[161],[120,23579,23581,23585,23588,23591,23594],{"className":23580},[166],[120,23582],{"className":23583,"style":23584},[170],"height:0.8778em;vertical-align:-0.1944em;",[120,23586,300],{"className":23587},[175,176],[120,23589],{"className":23590,"style":399},[398],[120,23592,358],{"className":23593},[403],[120,23595],{"className":23596,"style":399},[398],[120,23598,23600,23603],{"className":23599},[166],[120,23601],{"className":23602,"style":23545},[170],[120,23604,23549],{"className":23605},[175]," 对应的时间就是 ",[120,23608,23610,23623],{"className":23609},[123],[120,23611,23613],{"className":23612},[127],[129,23614,23615],{"xmlns":131},[133,23616,23617,23621],{},[136,23618,23619],{},[139,23620,5580],{},[154,23622,6105],{"encoding":156},[120,23624,23626],{"className":23625,"ariaHidden":162},[161],[120,23627,23629,23632],{"className":23628},[166],[120,23630],{"className":23631,"style":6115},[170],[120,23633,5580],{"className":23634,"style":5677},[175,176],"（本例为 40）。",[21,23637,23638,23639,23667],{},"为求 ",[120,23640,23642,23655],{"className":23641},[123],[120,23643,23645],{"className":23644},[127],[129,23646,23647],{"xmlns":131},[133,23648,23649,23653],{},[136,23650,23651],{},[139,23652,5525],{},[154,23654,5528],{"encoding":156},[120,23656,23658],{"className":23657,"ariaHidden":162},[161],[120,23659,23661,23664],{"className":23660},[166],[120,23662],{"className":23663,"style":5538},[170],[120,23665,5525],{"className":23666,"style":5542},[175,176],"，可在拟合线上选择两个已知 Y 值的点并计算斜率。例如：",[6121,23669,23670,23793],{},[103,23671,3762,23672,23725,23726,189],{},[120,23673,23675,23695],{"className":23674},[123],[120,23676,23678],{"className":23677},[127],[129,23679,23680],{"xmlns":131},[133,23681,23682,23692],{},[136,23683,23684,23687,23689],{},[139,23685,23686],{},"Z",[143,23688,358],{},[360,23690,23691],{},"0.834",[154,23693,23694],{"encoding":156},"Z=0.834",[120,23696,23698,23716],{"className":23697,"ariaHidden":162},[161],[120,23699,23701,23704,23707,23710,23713],{"className":23700},[166],[120,23702],{"className":23703,"style":1540},[170],[120,23705,23686],{"className":23706,"style":22593},[175,176],[120,23708],{"className":23709,"style":399},[398],[120,23711,358],{"className":23712},[403],[120,23714],{"className":23715,"style":399},[398],[120,23717,23719,23722],{"className":23718},[166],[120,23720],{"className":23721,"style":447},[170],[120,23723,23691],{"className":23724},[175]," 时，",[120,23727,23729,23754],{"className":23728},[123],[120,23730,23732],{"className":23731},[127],[129,23733,23734],{"xmlns":131},[133,23735,23736,23751],{},[136,23737,23738,23740,23742,23744,23746,23748],{},[139,23739,300],{},[143,23741,146],{"stretchy":145},[139,23743,149],{},[143,23745,152],{"stretchy":145},[143,23747,358],{},[360,23749,23750],{},"0.9",[154,23752,23753],{"encoding":156},"Q(t)=0.9",[120,23755,23757,23784],{"className":23756,"ariaHidden":162},[161],[120,23758,23760,23763,23766,23769,23772,23775,23778,23781],{"className":23759},[166],[120,23761],{"className":23762,"style":171},[170],[120,23764,300],{"className":23765},[175,176],[120,23767,146],{"className":23768},[181],[120,23770,149],{"className":23771},[175,176],[120,23773,152],{"className":23774},[188],[120,23776],{"className":23777,"style":399},[398],[120,23779,358],{"className":23780},[403],[120,23782],{"className":23783,"style":399},[398],[120,23785,23787,23790],{"className":23786},[166],[120,23788],{"className":23789,"style":447},[170],[120,23791,23750],{"className":23792},[175],[103,23794,3762,23795,23725,23852,189],{},[120,23796,23798,23819],{"className":23797},[123],[120,23799,23801],{"className":23800},[127],[129,23802,23803],{"xmlns":131},[133,23804,23805,23816],{},[136,23806,23807,23809,23811,23813],{},[139,23808,23686],{},[143,23810,358],{},[143,23812,669],{},[360,23814,23815],{},"0.367",[154,23817,23818],{"encoding":156},"Z=-0.367",[120,23820,23822,23840],{"className":23821,"ariaHidden":162},[161],[120,23823,23825,23828,23831,23834,23837],{"className":23824},[166],[120,23826],{"className":23827,"style":1540},[170],[120,23829,23686],{"className":23830,"style":22593},[175,176],[120,23832],{"className":23833,"style":399},[398],[120,23835,358],{"className":23836},[403],[120,23838],{"className":23839,"style":399},[398],[120,23841,23843,23846,23849],{"className":23842},[166],[120,23844],{"className":23845,"style":1345},[170],[120,23847,669],{"className":23848},[175],[120,23850,23815],{"className":23851},[175],[120,23853,23855,23879],{"className":23854},[123],[120,23856,23858],{"className":23857},[127],[129,23859,23860],{"xmlns":131},[133,23861,23862,23876],{},[136,23863,23864,23866,23868,23870,23872,23874],{},[139,23865,300],{},[143,23867,146],{"stretchy":145},[139,23869,149],{},[143,23871,152],{"stretchy":145},[143,23873,358],{},[360,23875,3443],{},[154,23877,23878],{"encoding":156},"Q(t)=0.5",[120,23880,23882,23909],{"className":23881,"ariaHidden":162},[161],[120,23883,23885,23888,23891,23894,23897,23900,23903,23906],{"className":23884},[166],[120,23886],{"className":23887,"style":171},[170],[120,23889,300],{"className":23890},[175,176],[120,23892,146],{"className":23893},[181],[120,23895,149],{"className":23896},[175,176],[120,23898,152],{"className":23899},[188],[120,23901],{"className":23902,"style":399},[398],[120,23904,358],{"className":23905},[403],[120,23907],{"className":23908,"style":399},[398],[120,23910,23912,23915],{"className":23911},[166],[120,23913],{"className":23914,"style":447},[170],[120,23916,3443],{"className":23917},[175],[62,23919],{"src":23920,"alt":23921,"width":66},"/media/image30.png","从概率图求取威布尔分布参数",[21,23923,23924],{},[120,23925,23927,23990],{"className":23926},[123],[120,23928,23930],{"className":23929},[127],[129,23931,23932],{"xmlns":131},[133,23933,23934,23987],{},[136,23935,23936,23938,23940,23982,23984],{},[139,23937,5525],{},[143,23939,358],{},[1043,23941,23942,23956],{},[136,23943,23944,23946,23948,23950,23952,23954],{},[360,23945,23691],{},[143,23947,669],{},[143,23949,146],{"stretchy":145},[143,23951,669],{},[360,23953,23815],{},[143,23955,152],{"stretchy":145},[136,23957,23958,23960,23962,23964,23967,23969,23971,23973,23975,23977,23980],{},[139,23959,5230],{},[143,23961,5233],{},[143,23963,146],{"stretchy":145},[360,23965,23966],{},"55.4",[143,23968,152],{"stretchy":145},[143,23970,669],{},[139,23972,13288],{},[139,23974,9521],{},[143,23976,146],{"stretchy":145},[360,23978,23979],{},"34.6",[143,23981,152],{"stretchy":145},[143,23983,358],{},[360,23985,23986],{},"2.56",[154,23988,23989],{"encoding":156},"\\beta = \\frac{0.834 - ( - 0.367)}{\\ln(55.4) - ln(34.6)} = 2.56",[120,23991,23993,24011,24142],{"className":23992,"ariaHidden":162},[161],[120,23994,23996,23999,24002,24005,24008],{"className":23995},[166],[120,23997],{"className":23998,"style":5538},[170],[120,24000,5525],{"className":24001,"style":5542},[175,176],[120,24003],{"className":24004,"style":399},[398],[120,24006,358],{"className":24007},[403],[120,24009],{"className":24010,"style":399},[398],[120,24012,24014,24017,24133,24136,24139],{"className":24013},[166],[120,24015],{"className":24016,"style":7270},[170],[120,24018,24020,24023,24130],{"className":24019},[175],[120,24021],{"className":24022},[181,1113],[120,24024,24026],{"className":24025},[1043],[120,24027,24029,24122],{"className":24028},[726,727],[120,24030,24032,24119],{"className":24031},[731],[120,24033,24035,24082,24090],{"className":24034,"style":1126},[735],[120,24036,24037,24040],{"style":1129},[120,24038],{"className":24039,"style":1133},[743],[120,24041,24043],{"className":24042},[748,749,750,751],[120,24044,24046,24055,24058,24061,24064,24067,24070,24073,24076,24079],{"className":24045},[175,751],[120,24047,24049,24052],{"className":24048},[879,751],[120,24050,13288],{"className":24051},[751],[120,24053,9521],{"className":24054},[751],[120,24056,146],{"className":24057},[181,751],[120,24059,23966],{"className":24060},[175,751],[120,24062,152],{"className":24063},[188,751],[120,24065,669],{"className":24066},[1356,751],[120,24068,13288],{"className":24069,"style":13717},[175,176,751],[120,24071,9521],{"className":24072},[175,176,751],[120,24074,146],{"className":24075},[181,751],[120,24077,23979],{"className":24078},[175,751],[120,24080,152],{"className":24081},[188,751],[120,24083,24084,24087],{"style":1148},[120,24085],{"className":24086,"style":1133},[743],[120,24088],{"className":24089,"style":1156},[1155],[120,24091,24092,24095],{"style":1159},[120,24093],{"className":24094,"style":1133},[743],[120,24096,24098],{"className":24097},[748,749,750,751],[120,24099,24101,24104,24107,24110,24113,24116],{"className":24100},[175,751],[120,24102,23691],{"className":24103},[175,751],[120,24105,669],{"className":24106},[1356,751],[120,24108,146],{"className":24109},[181,751],[120,24111,669],{"className":24112},[175,751],[120,24114,23815],{"className":24115},[175,751],[120,24117,152],{"className":24118},[188,751],[120,24120,762],{"className":24121},[761],[120,24123,24125],{"className":24124},[731],[120,24126,24128],{"className":24127,"style":1904},[735],[120,24129],{},[120,24131],{"className":24132},[188,1113],[120,24134],{"className":24135,"style":399},[398],[120,24137,358],{"className":24138},[403],[120,24140],{"className":24141,"style":399},[398],[120,24143,24145,24148],{"className":24144},[166],[120,24146],{"className":24147,"style":447},[170],[120,24149,23986],{"className":24150},[175],[3590,24152,24153],{"id":24153},"正态分布",[21,24155,24156,24157,6200],{},"对于正态分布 ",[120,24158,24160,24190],{"className":24159},[123],[120,24161,24163],{"className":24162},[127],[129,24164,24165],{"xmlns":131},[133,24166,24167,24187],{},[136,24168,24169,24171,24174,24177,24179,24181,24183,24185],{},[139,24170,1628],{},[139,24172,24173],{},"o",[139,24175,24176],{},"r",[143,24178,146],{"stretchy":145},[139,24180,10357],{},[143,24182,5577],{"separator":162},[139,24184,10362],{},[143,24186,152],{"stretchy":145},[154,24188,24189],{"encoding":156},"Nor(\\mu,\\sigma)",[120,24191,24193],{"className":24192,"ariaHidden":162},[161],[120,24194,24196,24199,24202,24207,24210,24213,24216,24219,24222],{"className":24195},[166],[120,24197],{"className":24198,"style":171},[170],[120,24200,1628],{"className":24201,"style":1859},[175,176],[120,24203,24206],{"className":24204,"style":24205},[175,176],"margin-right:0.02778em;","or",[120,24208,146],{"className":24209},[181],[120,24211,10357],{"className":24212},[175,176],[120,24214,5577],{"className":24215},[5661],[120,24217],{"className":24218,"style":993},[398],[120,24220,10362],{"className":24221,"style":5677},[175,176],[120,24223,152],{"className":24224},[188],[21,24226,24227],{},[120,24228,24230,24271],{"className":24229},[123],[120,24231,24233],{"className":24232},[127],[129,24234,24235],{"xmlns":131},[133,24236,24237,24269],{},[136,24238,24239,24241,24243,24245,24247,24249,24251],{},[139,24240,300],{},[143,24242,146],{"stretchy":145},[139,24244,149],{},[143,24246,152],{"stretchy":145},[143,24248,358],{},[139,24250,11567],{"mathvariant":672},[136,24252,24253,24255,24267],{},[143,24254,146],{"fence":162},[1043,24256,24257,24265],{},[136,24258,24259,24261,24263],{},[139,24260,149],{},[143,24262,669],{},[139,24264,10357],{},[139,24266,10362],{},[143,24268,152],{"fence":162},[154,24270,11588],{"encoding":156},[120,24272,24274,24301],{"className":24273,"ariaHidden":162},[161],[120,24275,24277,24280,24283,24286,24289,24292,24295,24298],{"className":24276},[166],[120,24278],{"className":24279,"style":171},[170],[120,24281,300],{"className":24282},[175,176],[120,24284,146],{"className":24285},[181],[120,24287,149],{"className":24288},[175,176],[120,24290,152],{"className":24291},[188],[120,24293],{"className":24294,"style":399},[398],[120,24296,358],{"className":24297},[403],[120,24299],{"className":24300,"style":399},[398],[120,24302,24304,24307,24310,24313],{"className":24303},[166],[120,24305],{"className":24306,"style":11625},[170],[120,24308,11567],{"className":24309},[175],[120,24311],{"className":24312,"style":993},[398],[120,24314,24316,24322,24396],{"className":24315},[2781],[120,24317,24319],{"className":24318,"style":2786},[181,2785],[120,24320,146],{"className":24321},[2790,959],[120,24323,24325,24328,24393],{"className":24324},[175],[120,24326],{"className":24327},[181,1113],[120,24329,24331],{"className":24330},[1043],[120,24332,24334,24385],{"className":24333},[726,727],[120,24335,24337,24382],{"className":24336},[731],[120,24338,24340,24354,24362],{"className":24339,"style":11659},[735],[120,24341,24342,24345],{"style":1129},[120,24343],{"className":24344,"style":1133},[743],[120,24346,24348],{"className":24347},[748,749,750,751],[120,24349,24351],{"className":24350},[175,751],[120,24352,10362],{"className":24353,"style":5677},[175,176,751],[120,24355,24356,24359],{"style":1148},[120,24357],{"className":24358,"style":1133},[743],[120,24360],{"className":24361,"style":1156},[1155],[120,24363,24364,24367],{"style":5740},[120,24365],{"className":24366,"style":1133},[743],[120,24368,24370],{"className":24369},[748,749,750,751],[120,24371,24373,24376,24379],{"className":24372},[175,751],[120,24374,149],{"className":24375},[175,176,751],[120,24377,669],{"className":24378},[1356,751],[120,24380,10357],{"className":24381},[175,176,751],[120,24383,762],{"className":24384},[761],[120,24386,24388],{"className":24387},[731],[120,24389,24391],{"className":24390,"style":1197},[735],[120,24392],{},[120,24394],{"className":24395},[188,1113],[120,24397,24399],{"className":24398,"style":2786},[188,2785],[120,24400,152],{"className":24401},[2790,959],[120,24403,24405],{"className":24404},[1588],[120,24406,24408,24470],{"className":24407},[123],[120,24409,24411],{"className":24410},[127],[129,24412,24413],{"xmlns":131,"display":1597},[133,24414,24415,24467],{},[136,24416,24417,24433,24447,24449,24451,24457,24459,24465],{},[3621,24418,24419,24427],{},[136,24420,24421,24423,24425],{},[143,24422,2682],{},[364,24424,423],{},[139,24426,11567],{"mathvariant":672},[136,24428,24429,24431],{},[143,24430,669],{},[360,24432,1294],{},[136,24434,24435,24437,24439,24441,24443,24445],{},[143,24436,3855],{"fence":162},[139,24438,300],{},[143,24440,146],{"stretchy":145},[139,24442,149],{},[143,24444,152],{"stretchy":145},[143,24446,3874],{"fence":162},[143,24448,358],{},[143,24450,669],{},[1043,24452,24453,24455],{},[139,24454,10357],{},[139,24456,10362],{},[143,24458,2646],{},[1043,24460,24461,24463],{},[360,24462,1294],{},[139,24464,10362],{},[139,24466,149],{},[154,24468,24469],{"encoding":156},"{{\\Rightarrow \\ \\Phi}^{- 1}\\left\\lbrack Q(t) \\right\\rbrack = - \\frac{\\mu}{\\sigma} + \\frac{1}{\\sigma}t}",[120,24471,24473],{"className":24472,"ariaHidden":162},[161],[120,24474,24476,24480],{"className":24475},[166],[120,24477],{"className":24478,"style":24479},[170],"height:2.0074em;vertical-align:-0.686em;",[120,24481,24483,24532,24535,24556,24559,24562,24565,24568,24631,24634,24637,24640,24702],{"className":24482},[175],[120,24484,24486,24501],{"className":24485},[175],[120,24487,24489,24492,24495,24498],{"className":24488},[175],[120,24490,2682],{"className":24491},[403],[120,24493,423],{"className":24494},[398],[120,24496],{"className":24497,"style":399},[398],[120,24499,11567],{"className":24500},[175],[120,24502,24504],{"className":24503},[722],[120,24505,24507],{"className":24506},[726],[120,24508,24510],{"className":24509},[731],[120,24511,24514],{"className":24512,"style":24513},[735],"height:0.8873em;",[120,24515,24517,24520],{"style":24516},"top:-3.1362em;margin-right:0.05em;",[120,24518],{"className":24519,"style":744},[743],[120,24521,24523],{"className":24522},[748,749,750,751],[120,24524,24526,24529],{"className":24525},[175,751],[120,24527,669],{"className":24528},[175,751],[120,24530,1294],{"className":24531},[175,751],[120,24533],{"className":24534,"style":993},[398],[120,24536,24538,24541,24544,24547,24550,24553],{"className":24537},[2781],[120,24539,3855],{"className":24540,"style":2786},[181,2785],[120,24542,300],{"className":24543},[175,176],[120,24545,146],{"className":24546},[181],[120,24548,149],{"className":24549},[175,176],[120,24551,152],{"className":24552},[188],[120,24554,3874],{"className":24555,"style":2786},[188,2785],[120,24557],{"className":24558,"style":399},[398],[120,24560,358],{"className":24561},[403],[120,24563],{"className":24564,"style":399},[398],[120,24566,669],{"className":24567},[175],[120,24569,24571,24574,24628],{"className":24570},[175],[120,24572],{"className":24573},[181,1113],[120,24575,24577],{"className":24576},[1043],[120,24578,24580,24620],{"className":24579},[726,727],[120,24581,24583,24617],{"className":24582},[731],[120,24584,24587,24598,24606],{"className":24585,"style":24586},[735],"height:1.1076em;",[120,24588,24589,24592],{"style":1796},[120,24590],{"className":24591,"style":1133},[743],[120,24593,24595],{"className":24594},[175],[120,24596,10362],{"className":24597,"style":5677},[175,176],[120,24599,24600,24603],{"style":1148},[120,24601],{"className":24602,"style":1133},[743],[120,24604],{"className":24605,"style":1156},[1155],[120,24607,24608,24611],{"style":1983},[120,24609],{"className":24610,"style":1133},[743],[120,24612,24614],{"className":24613},[175],[120,24615,10357],{"className":24616},[175,176],[120,24618,762],{"className":24619},[761],[120,24621,24623],{"className":24622},[731],[120,24624,24626],{"className":24625,"style":1919},[735],[120,24627],{},[120,24629],{"className":24630},[188,1113],[120,24632],{"className":24633,"style":1352},[398],[120,24635,2646],{"className":24636},[1356],[120,24638],{"className":24639,"style":1352},[398],[120,24641,24643,24646,24699],{"className":24642},[175],[120,24644],{"className":24645},[181,1113],[120,24647,24649],{"className":24648},[1043],[120,24650,24652,24691],{"className":24651},[726,727],[120,24653,24655,24688],{"className":24654},[731],[120,24656,24658,24669,24677],{"className":24657,"style":5045},[735],[120,24659,24660,24663],{"style":1796},[120,24661],{"className":24662,"style":1133},[743],[120,24664,24666],{"className":24665},[175],[120,24667,10362],{"className":24668,"style":5677},[175,176],[120,24670,24671,24674],{"style":1148},[120,24672],{"className":24673,"style":1133},[743],[120,24675],{"className":24676,"style":1156},[1155],[120,24678,24679,24682],{"style":1983},[120,24680],{"className":24681,"style":1133},[743],[120,24683,24685],{"className":24684},[175],[120,24686,1294],{"className":24687},[175],[120,24689,762],{"className":24690},[761],[120,24692,24694],{"className":24693},[731],[120,24695,24697],{"className":24696,"style":1919},[735],[120,24698],{},[120,24700],{"className":24701},[188,1113],[120,24703,149],{"className":24704},[175,176],[21,24706,2344,24707,24776,24777,24874,24875,24903,24904,24948,24949,189],{},[120,24708,24710,24732],{"className":24709},[123],[120,24711,24713],{"className":24712},[127],[129,24714,24715],{"xmlns":131},[133,24716,24717,24729],{},[136,24718,24719],{},[3621,24720,24721,24723],{},[139,24722,11567],{"mathvariant":672},[136,24724,24725,24727],{},[143,24726,669],{},[360,24728,1294],{},[154,24730,24731],{"encoding":156},"\\Phi^{-1}",[120,24733,24735],{"className":24734,"ariaHidden":162},[161],[120,24736,24738,24741],{"className":24737},[166],[120,24739],{"className":24740,"style":9720},[170],[120,24742,24744,24747],{"className":24743},[175],[120,24745,11567],{"className":24746},[175],[120,24748,24750],{"className":24749},[722],[120,24751,24753],{"className":24752},[726],[120,24754,24756],{"className":24755},[731],[120,24757,24759],{"className":24758,"style":9720},[735],[120,24760,24761,24764],{"style":9686},[120,24762],{"className":24763,"style":744},[743],[120,24765,24767],{"className":24766},[748,749,750,751],[120,24768,24770,24773],{"className":24769},[175,751],[120,24771,669],{"className":24772},[175,751],[120,24774,1294],{"className":24775},[175,751]," 为标准正态 CDF 的反函数。若以 ",[120,24778,24780,24814],{"className":24779},[123],[120,24781,24783],{"className":24782},[127],[129,24784,24785],{"xmlns":131},[133,24786,24787,24811],{},[136,24788,24789,24799,24801,24803,24805,24807,24809],{},[3621,24790,24791,24793],{},[139,24792,11567],{"mathvariant":672},[136,24794,24795,24797],{},[143,24796,669],{},[360,24798,1294],{},[143,24800,146],{"stretchy":145},[139,24802,300],{},[143,24804,146],{"stretchy":145},[139,24806,149],{},[143,24808,152],{"stretchy":145},[143,24810,152],{"stretchy":145},[154,24812,24813],{"encoding":156},"\\Phi^{-1}(Q(t))",[120,24815,24817],{"className":24816,"ariaHidden":162},[161],[120,24818,24820,24824,24859,24862,24865,24868,24871],{"className":24819},[166],[120,24821],{"className":24822,"style":24823},[170],"height:1.0641em;vertical-align:-0.25em;",[120,24825,24827,24830],{"className":24826},[175],[120,24828,11567],{"className":24829},[175],[120,24831,24833],{"className":24832},[722],[120,24834,24836],{"className":24835},[726],[120,24837,24839],{"className":24838},[731],[120,24840,24842],{"className":24841,"style":9720},[735],[120,24843,24844,24847],{"style":9686},[120,24845],{"className":24846,"style":744},[743],[120,24848,24850],{"className":24849},[748,749,750,751],[120,24851,24853,24856],{"className":24852},[175,751],[120,24854,669],{"className":24855},[175,751],[120,24857,1294],{"className":24858},[175,751],[120,24860,146],{"className":24861},[181],[120,24863,300],{"className":24864},[175,176],[120,24866,146],{"className":24867},[181],[120,24869,149],{"className":24870},[175,176],[120,24872,1187],{"className":24873},[188]," 为 Y 轴，以未经变换的 ",[120,24876,24878,24891],{"className":24877},[123],[120,24879,24881],{"className":24880},[127],[129,24882,24883],{"xmlns":131},[133,24884,24885,24889],{},[136,24886,24887],{},[139,24888,149],{},[154,24890,149],{"encoding":156},[120,24892,24894],{"className":24893,"ariaHidden":162},[161],[120,24895,24897,24900],{"className":24896},[166],[120,24898],{"className":24899,"style":231},[170],[120,24901,149],{"className":24902},[175,176]," 为 X 轴，则正态分布的 CDF 在变换后的概率纸上成为直线，其 Y 轴截距为 ",[120,24905,24907,24927],{"className":24906},[123],[120,24908,24910],{"className":24909},[127],[129,24911,24912],{"xmlns":131},[133,24913,24914,24924],{},[136,24915,24916,24918,24920,24922],{},[143,24917,669],{},[139,24919,10357],{},[139,24921,2520],{"mathvariant":672},[139,24923,10362],{},[154,24925,24926],{"encoding":156},"-\\mu/\\sigma",[120,24928,24930],{"className":24929,"ariaHidden":162},[161],[120,24931,24933,24936,24939,24942,24945],{"className":24932},[166],[120,24934],{"className":24935,"style":171},[170],[120,24937,669],{"className":24938},[175],[120,24940,10357],{"className":24941},[175,176],[120,24943,2520],{"className":24944},[175],[120,24946,10362],{"className":24947,"style":5677},[175,176],"，斜率为 ",[120,24950,24952,24970],{"className":24951},[123],[120,24953,24955],{"className":24954},[127],[129,24956,24957],{"xmlns":131},[133,24958,24959,24967],{},[136,24960,24961,24963,24965],{},[360,24962,1294],{},[139,24964,2520],{"mathvariant":672},[139,24966,10362],{},[154,24968,24969],{"encoding":156},"1/\\sigma",[120,24971,24973],{"className":24972,"ariaHidden":162},[161],[120,24974,24976,24979,24983],{"className":24975},[166],[120,24977],{"className":24978,"style":171},[170],[120,24980,24982],{"className":24981},[175],"1/",[120,24984,10362],{"className":24985,"style":5677},[175,176],[21,24987,24988,24989,25032],{},"将累积概率 ",[120,24990,24992,25011],{"className":24991},[123],[120,24993,24995],{"className":24994},[127],[129,24996,24997],{"xmlns":131},[133,24998,24999,25009],{},[136,25000,25001,25003,25005,25007],{},[139,25002,300],{},[143,25004,146],{"stretchy":145},[139,25006,149],{},[143,25008,152],{"stretchy":145},[154,25010,309],{"encoding":156},[120,25012,25014],{"className":25013,"ariaHidden":162},[161],[120,25015,25017,25020,25023,25026,25029],{"className":25016},[166],[120,25018],{"className":25019,"style":171},[170],[120,25021,300],{"className":25022},[175,176],[120,25024,146],{"className":25025},[181],[120,25027,149],{"className":25028},[175,176],[120,25030,152],{"className":25031},[188]," 转换为标准正态分位数（Z 值）：",[21,25034,25035],{},[120,25036,25038,25078],{"className":25037},[123],[120,25039,25041],{"className":25040},[127],[129,25042,25043],{"xmlns":131},[133,25044,25045,25075],{},[136,25046,25047,25049,25051,25061],{},[139,25048,23686],{},[143,25050,358],{},[3621,25052,25053,25055],{},[139,25054,11567],{"mathvariant":672},[136,25056,25057,25059],{},[143,25058,669],{},[360,25060,1294],{},[136,25062,25063,25065,25067,25069,25071,25073],{},[143,25064,146],{"fence":162},[139,25066,300],{},[143,25068,146],{"stretchy":145},[139,25070,149],{},[143,25072,152],{"stretchy":145},[143,25074,152],{"fence":162},[154,25076,25077],{"encoding":156},"Z = \\Phi^{- 1}\\left( Q(t) \\right)",[120,25079,25081,25099],{"className":25080,"ariaHidden":162},[161],[120,25082,25084,25087,25090,25093,25096],{"className":25083},[166],[120,25085],{"className":25086,"style":1540},[170],[120,25088,23686],{"className":25089,"style":22593},[175,176],[120,25091],{"className":25092,"style":399},[398],[120,25094,358],{"className":25095},[403],[120,25097],{"className":25098,"style":399},[398],[120,25100,25102,25105,25140,25143],{"className":25101},[166],[120,25103],{"className":25104,"style":24823},[170],[120,25106,25108,25111],{"className":25107},[175],[120,25109,11567],{"className":25110},[175],[120,25112,25114],{"className":25113},[722],[120,25115,25117],{"className":25116},[726],[120,25118,25120],{"className":25119},[731],[120,25121,25123],{"className":25122,"style":9720},[735],[120,25124,25125,25128],{"style":9686},[120,25126],{"className":25127,"style":744},[743],[120,25129,25131],{"className":25130},[748,749,750,751],[120,25132,25134,25137],{"className":25133},[175,751],[120,25135,669],{"className":25136},[175,751],[120,25138,1294],{"className":25139},[175,751],[120,25141],{"className":25142,"style":993},[398],[120,25144,25146,25149,25152,25155,25158,25161],{"className":25145},[2781],[120,25147,146],{"className":25148,"style":2786},[181,2785],[120,25150,300],{"className":25151},[175,176],[120,25153,146],{"className":25154},[181],[120,25156,149],{"className":25157},[175,176],[120,25159,152],{"className":25160},[188],[120,25162,152],{"className":25163,"style":2786},[188,2785],[21,25165,25166,25167,25170],{},"可以使用标准正态表或 Excel 函数 ",[19768,25168,25169],{},"NORM.S.INV(Q)"," 得到 Z 值。",[62,25172],{"src":25173,"alt":25174,"width":25175},"/media/image31.png","计算各 Q(t) 对应的标准正态分位数",350,[21,25177,21044,25178,25230],{},[120,25179,25181,25203],{"className":25180},[123],[120,25182,25184],{"className":25183},[127],[129,25185,25186],{"xmlns":131},[133,25187,25188,25200],{},[136,25189,25190,25192,25194,25196,25198],{},[143,25191,146],{"stretchy":145},[139,25193,149],{},[143,25195,5577],{"separator":162},[139,25197,23686],{},[143,25199,152],{"stretchy":145},[154,25201,25202],{"encoding":156},"(t,Z)",[120,25204,25206],{"className":25205,"ariaHidden":162},[161],[120,25207,25209,25212,25215,25218,25221,25224,25227],{"className":25208},[166],[120,25210],{"className":25211,"style":171},[170],[120,25213,146],{"className":25214},[181],[120,25216,149],{"className":25217},[175,176],[120,25219,5577],{"className":25220},[5661],[120,25222],{"className":25223,"style":993},[398],[120,25225,23686],{"className":25226,"style":22593},[175,176],[120,25228,152],{"className":25229},[188]," 绘制在正态概率纸上。",[62,25232],{"src":25233,"alt":25234,"width":66},"/media/image32.png","正态概率图",[21,25236,25237,25238,25281,25282,25317,25318,25410,25411,189],{},"数学上可由 Y 轴截距 ",[120,25239,25241,25260],{"className":25240},[123],[120,25242,25244],{"className":25243},[127],[129,25245,25246],{"xmlns":131},[133,25247,25248,25258],{},[136,25249,25250,25252,25254,25256],{},[143,25251,669],{},[139,25253,10357],{},[139,25255,2520],{"mathvariant":672},[139,25257,10362],{},[154,25259,24926],{"encoding":156},[120,25261,25263],{"className":25262,"ariaHidden":162},[161],[120,25264,25266,25269,25272,25275,25278],{"className":25265},[166],[120,25267],{"className":25268,"style":171},[170],[120,25270,669],{"className":25271},[175],[120,25273,10357],{"className":25274},[175,176],[120,25276,2520],{"className":25277},[175],[120,25279,10362],{"className":25280,"style":5677},[175,176]," 和斜率 ",[120,25283,25285,25302],{"className":25284},[123],[120,25286,25288],{"className":25287},[127],[129,25289,25290],{"xmlns":131},[133,25291,25292,25300],{},[136,25293,25294,25296,25298],{},[360,25295,1294],{},[139,25297,2520],{"mathvariant":672},[139,25299,10362],{},[154,25301,24969],{"encoding":156},[120,25303,25305],{"className":25304,"ariaHidden":162},[161],[120,25306,25308,25311,25314],{"className":25307},[166],[120,25309],{"className":25310,"style":171},[170],[120,25312,24982],{"className":25313},[175],[120,25315,10362],{"className":25316,"style":5677},[175,176]," 求得均值和标准差。对于正态分布，",[120,25319,25321,25352],{"className":25320},[123],[120,25322,25324],{"className":25323},[127],[129,25325,25326],{"xmlns":131},[133,25327,25328,25349],{},[136,25329,25330,25332,25334,25336,25338,25340,25342,25344,25347],{},[139,25331,300],{},[143,25333,146],{"stretchy":145},[139,25335,149],{},[143,25337,358],{},[139,25339,10357],{},[143,25341,152],{"stretchy":145},[143,25343,358],{},[360,25345,25346],{},"50",[139,25348,23400],{"mathvariant":672},[154,25350,25351],{"encoding":156},"Q(t=\\mu)=50\\%",[120,25353,25355,25379,25400],{"className":25354,"ariaHidden":162},[161],[120,25356,25358,25361,25364,25367,25370,25373,25376],{"className":25357},[166],[120,25359],{"className":25360,"style":171},[170],[120,25362,300],{"className":25363},[175,176],[120,25365,146],{"className":25366},[181],[120,25368,149],{"className":25369},[175,176],[120,25371],{"className":25372,"style":399},[398],[120,25374,358],{"className":25375},[403],[120,25377],{"className":25378,"style":399},[398],[120,25380,25382,25385,25388,25391,25394,25397],{"className":25381},[166],[120,25383],{"className":25384,"style":171},[170],[120,25386,10357],{"className":25387},[175,176],[120,25389,152],{"className":25390},[188],[120,25392],{"className":25393,"style":399},[398],[120,25395,358],{"className":25396},[403],[120,25398],{"className":25399,"style":399},[398],[120,25401,25403,25406],{"className":25402},[166],[120,25404],{"className":25405,"style":23545},[170],[120,25407,25409],{"className":25408},[175],"50%","，从图中可得 ",[120,25412,25414,25433],{"className":25413},[123],[120,25415,25417],{"className":25416},[127],[129,25418,25419],{"xmlns":131},[133,25420,25421,25430],{},[136,25422,25423,25425,25427],{},[139,25424,10357],{},[143,25426,358],{},[360,25428,25429],{},"35",[154,25431,25432],{"encoding":156},"\\mu=35",[120,25434,25436,25454],{"className":25435,"ariaHidden":162},[161],[120,25437,25439,25442,25445,25448,25451],{"className":25438},[166],[120,25440],{"className":25441,"style":6115},[170],[120,25443,10357],{"className":25444},[175,176],[120,25446],{"className":25447,"style":399},[398],[120,25449,358],{"className":25450},[403],[120,25452],{"className":25453,"style":399},[398],[120,25455,25457,25460],{"className":25456},[166],[120,25458],{"className":25459,"style":447},[170],[120,25461,25429],{"className":25462},[175],[21,25464,23638,25465,25493,25494,6088,25545,25601],{},[120,25466,25468,25481],{"className":25467},[123],[120,25469,25471],{"className":25470},[127],[129,25472,25473],{"xmlns":131},[133,25474,25475,25479],{},[136,25476,25477],{},[139,25478,10362],{},[154,25480,10890],{"encoding":156},[120,25482,25484],{"className":25483,"ariaHidden":162},[161],[120,25485,25487,25490],{"className":25486},[166],[120,25488],{"className":25489,"style":10900},[170],[120,25491,10362],{"className":25492,"style":5677},[175,176],"，在拟合线上选取两个已知 Z 值的点（例如 ",[120,25495,25497,25515],{"className":25496},[123],[120,25498,25500],{"className":25499},[127],[129,25501,25502],{"xmlns":131},[133,25503,25504,25512],{},[136,25505,25506,25508,25510],{},[139,25507,23686],{},[143,25509,358],{},[360,25511,1294],{},[154,25513,25514],{"encoding":156},"Z=1",[120,25516,25518,25536],{"className":25517,"ariaHidden":162},[161],[120,25519,25521,25524,25527,25530,25533],{"className":25520},[166],[120,25522],{"className":25523,"style":1540},[170],[120,25525,23686],{"className":25526,"style":22593},[175,176],[120,25528],{"className":25529,"style":399},[398],[120,25531,358],{"className":25532},[403],[120,25534],{"className":25535,"style":399},[398],[120,25537,25539,25542],{"className":25538},[166],[120,25540],{"className":25541,"style":447},[170],[120,25543,1294],{"className":25544},[175],[120,25546,25548,25568],{"className":25547},[123],[120,25549,25551],{"className":25550},[127],[129,25552,25553],{"xmlns":131},[133,25554,25555,25565],{},[136,25556,25557,25559,25561,25563],{},[139,25558,23686],{},[143,25560,358],{},[143,25562,669],{},[360,25564,1294],{},[154,25566,25567],{"encoding":156},"Z=-1",[120,25569,25571,25589],{"className":25570,"ariaHidden":162},[161],[120,25572,25574,25577,25580,25583,25586],{"className":25573},[166],[120,25575],{"className":25576,"style":1540},[170],[120,25578,23686],{"className":25579,"style":22593},[175,176],[120,25581],{"className":25582,"style":399},[398],[120,25584,358],{"className":25585},[403],[120,25587],{"className":25588,"style":399},[398],[120,25590,25592,25595,25598],{"className":25591},[166],[120,25593],{"className":25594,"style":1345},[170],[120,25596,669],{"className":25597},[175],[120,25599,1294],{"className":25600},[175],"），再取斜率的倒数。",[6121,25603,25604,25723],{},[103,25605,3762,25606,23725,25656,189],{},[120,25607,25609,25626],{"className":25608},[123],[120,25610,25612],{"className":25611},[127],[129,25613,25614],{"xmlns":131},[133,25615,25616,25624],{},[136,25617,25618,25620,25622],{},[139,25619,23686],{},[143,25621,358],{},[360,25623,1294],{},[154,25625,25514],{"encoding":156},[120,25627,25629,25647],{"className":25628,"ariaHidden":162},[161],[120,25630,25632,25635,25638,25641,25644],{"className":25631},[166],[120,25633],{"className":25634,"style":1540},[170],[120,25636,23686],{"className":25637,"style":22593},[175,176],[120,25639],{"className":25640,"style":399},[398],[120,25642,358],{"className":25643},[403],[120,25645],{"className":25646,"style":399},[398],[120,25648,25650,25653],{"className":25649},[166],[120,25651],{"className":25652,"style":447},[170],[120,25654,1294],{"className":25655},[175],[120,25657,25659,25684],{"className":25658},[123],[120,25660,25662],{"className":25661},[127],[129,25663,25664],{"xmlns":131},[133,25665,25666,25681],{},[136,25667,25668,25670,25672,25674,25676,25678],{},[139,25669,300],{},[143,25671,146],{"stretchy":145},[139,25673,149],{},[143,25675,152],{"stretchy":145},[143,25677,358],{},[360,25679,25680],{},"0.841",[154,25682,25683],{"encoding":156},"Q(t)=0.841",[120,25685,25687,25714],{"className":25686,"ariaHidden":162},[161],[120,25688,25690,25693,25696,25699,25702,25705,25708,25711],{"className":25689},[166],[120,25691],{"className":25692,"style":171},[170],[120,25694,300],{"className":25695},[175,176],[120,25697,146],{"className":25698},[181],[120,25700,149],{"className":25701},[175,176],[120,25703,152],{"className":25704},[188],[120,25706],{"className":25707,"style":399},[398],[120,25709,358],{"className":25710},[403],[120,25712],{"className":25713,"style":399},[398],[120,25715,25717,25720],{"className":25716},[166],[120,25718],{"className":25719,"style":447},[170],[120,25721,25680],{"className":25722},[175],[103,25724,3762,25725,23725,25780,189],{},[120,25726,25728,25747],{"className":25727},[123],[120,25729,25731],{"className":25730},[127],[129,25732,25733],{"xmlns":131},[133,25734,25735,25745],{},[136,25736,25737,25739,25741,25743],{},[139,25738,23686],{},[143,25740,358],{},[143,25742,669],{},[360,25744,1294],{},[154,25746,25567],{"encoding":156},[120,25748,25750,25768],{"className":25749,"ariaHidden":162},[161],[120,25751,25753,25756,25759,25762,25765],{"className":25752},[166],[120,25754],{"className":25755,"style":1540},[170],[120,25757,23686],{"className":25758,"style":22593},[175,176],[120,25760],{"className":25761,"style":399},[398],[120,25763,358],{"className":25764},[403],[120,25766],{"className":25767,"style":399},[398],[120,25769,25771,25774,25777],{"className":25770},[166],[120,25772],{"className":25773,"style":1345},[170],[120,25775,669],{"className":25776},[175],[120,25778,1294],{"className":25779},[175],[120,25781,25783,25808],{"className":25782},[123],[120,25784,25786],{"className":25785},[127],[129,25787,25788],{"xmlns":131},[133,25789,25790,25805],{},[136,25791,25792,25794,25796,25798,25800,25802],{},[139,25793,300],{},[143,25795,146],{"stretchy":145},[139,25797,149],{},[143,25799,152],{"stretchy":145},[143,25801,358],{},[360,25803,25804],{},"0.159",[154,25806,25807],{"encoding":156},"Q(t)=0.159",[120,25809,25811,25838],{"className":25810,"ariaHidden":162},[161],[120,25812,25814,25817,25820,25823,25826,25829,25832,25835],{"className":25813},[166],[120,25815],{"className":25816,"style":171},[170],[120,25818,300],{"className":25819},[175,176],[120,25821,146],{"className":25822},[181],[120,25824,149],{"className":25825},[175,176],[120,25827,152],{"className":25828},[188],[120,25830],{"className":25831,"style":399},[398],[120,25833,358],{"className":25834},[403],[120,25836],{"className":25837,"style":399},[398],[120,25839,25841,25844],{"className":25840},[166],[120,25842],{"className":25843,"style":447},[170],[120,25845,25804],{"className":25846},[175],[21,25848,25166,25849,25852],{},[19768,25850,25851],{},"NORM.S.DIST(Z)"," 得到累积概率。",[62,25854],{"src":25855,"alt":25856,"width":66},"/media/image33.png","从概率图求取正态分布参数",[21,25858,25859],{},"标准差为：",[120,25861,25863],{"className":25862},[1588],[120,25864,25866,25924],{"className":25865},[123],[120,25867,25869],{"className":25868},[127],[129,25870,25871],{"xmlns":131,"display":1597},[133,25872,25873,25921],{},[136,25874,25875,25887],{},[136,25876,25877,25879,25881],{},[139,25878,10362],{},[143,25880,358],{},[1043,25882,25883,25885],{},[360,25884,1294],{},[364,25886,21489],{},[136,25888,25889,25891,25916,25918],{},[143,25890,358],{},[1043,25892,25893,25902],{},[136,25894,25895,25897,25899],{},[360,25896,25346],{},[143,25898,669],{},[360,25900,25901],{},"30",[136,25903,25904,25906,25908,25910,25912,25914],{},[360,25905,1294],{},[143,25907,669],{},[143,25909,146],{"stretchy":145},[143,25911,669],{},[360,25913,1294],{},[143,25915,152],{"stretchy":145},[143,25917,358],{},[360,25919,25920],{},"15",[154,25922,25923],{"encoding":156},"{\\sigma = \\frac{1}{\\text{斜率}}\n}{= \\frac{50 - 30}{1 - ( - 1)} = 15}",[120,25925,25927],{"className":25926,"ariaHidden":162},[161],[120,25928,25930,25934,26014],{"className":25929},[166],[120,25931],{"className":25932,"style":25933},[170],"height:2.2574em;vertical-align:-0.936em;",[120,25935,25937,25940,25943,25946,25949],{"className":25936},[175],[120,25938,10362],{"className":25939,"style":5677},[175,176],[120,25941],{"className":25942,"style":399},[398],[120,25944,358],{"className":25945},[403],[120,25947],{"className":25948,"style":399},[398],[120,25950,25952,25955,26011],{"className":25951},[175],[120,25953],{"className":25954},[181,1113],[120,25956,25958],{"className":25957},[1043],[120,25959,25961,26003],{"className":25960},[726,727],[120,25962,25964,26000],{"className":25963},[731],[120,25965,25967,25981,25989],{"className":25966,"style":5045},[735],[120,25968,25969,25972],{"style":1796},[120,25970],{"className":25971,"style":1133},[743],[120,25973,25975],{"className":25974},[175],[120,25976,25978],{"className":25977},[175,419],[120,25979,21489],{"className":25980},[175,427],[120,25982,25983,25986],{"style":1148},[120,25984],{"className":25985,"style":1133},[743],[120,25987],{"className":25988,"style":1156},[1155],[120,25990,25991,25994],{"style":1983},[120,25992],{"className":25993,"style":1133},[743],[120,25995,25997],{"className":25996},[175],[120,25998,1294],{"className":25999},[175],[120,26001,762],{"className":26002},[761],[120,26004,26006],{"className":26005},[731],[120,26007,26009],{"className":26008,"style":1919},[735],[120,26010],{},[120,26012],{"className":26013},[188,1113],[120,26015,26017,26020,26023,26118,26121,26124,26127],{"className":26016},[175],[120,26018,358],{"className":26019},[403],[120,26021],{"className":26022,"style":399},[398],[120,26024,26026,26029,26115],{"className":26025},[175],[120,26027],{"className":26028},[181,1113],[120,26030,26032],{"className":26031},[1043],[120,26033,26035,26107],{"className":26034},[726,727],[120,26036,26038,26104],{"className":26037},[731],[120,26039,26041,26073,26081],{"className":26040,"style":5045},[735],[120,26042,26043,26046],{"style":1796},[120,26044],{"className":26045,"style":1133},[743],[120,26047,26049,26052,26055,26058,26061,26064,26067,26070],{"className":26048},[175],[120,26050,1294],{"className":26051},[175],[120,26053],{"className":26054,"style":1352},[398],[120,26056,669],{"className":26057},[1356],[120,26059],{"className":26060,"style":1352},[398],[120,26062,146],{"className":26063},[181],[120,26065,669],{"className":26066},[175],[120,26068,1294],{"className":26069},[175],[120,26071,152],{"className":26072},[188],[120,26074,26075,26078],{"style":1148},[120,26076],{"className":26077,"style":1133},[743],[120,26079],{"className":26080,"style":1156},[1155],[120,26082,26083,26086],{"style":1983},[120,26084],{"className":26085,"style":1133},[743],[120,26087,26089,26092,26095,26098,26101],{"className":26088},[175],[120,26090,25346],{"className":26091},[175],[120,26093],{"className":26094,"style":1352},[398],[120,26096,669],{"className":26097},[1356],[120,26099],{"className":26100,"style":1352},[398],[120,26102,25901],{"className":26103},[175],[120,26105,762],{"className":26106},[761],[120,26108,26110],{"className":26109},[731],[120,26111,26113],{"className":26112,"style":2043},[735],[120,26114],{},[120,26116],{"className":26117},[188,1113],[120,26119],{"className":26120,"style":399},[398],[120,26122,358],{"className":26123},[403],[120,26125],{"className":26126,"style":399},[398],[120,26128,25920],{"className":26129},[175],[3590,26131,26132],{"id":26132},"对数正态分布",[21,26134,26135,26136,26164,26165,26211],{},"若变量 ",[120,26137,26139,26152],{"className":26138},[123],[120,26140,26142],{"className":26141},[127],[129,26143,26144],{"xmlns":131},[133,26145,26146,26150],{},[136,26147,26148],{},[139,26149,149],{},[154,26151,149],{"encoding":156},[120,26153,26155],{"className":26154,"ariaHidden":162},[161],[120,26156,26158,26161],{"className":26157},[166],[120,26159],{"className":26160,"style":231},[170],[120,26162,149],{"className":26163},[175,176]," 服从对数正态分布，则 ",[120,26166,26168,26190],{"className":26167},[123],[120,26169,26171],{"className":26170},[127],[129,26172,26173],{"xmlns":131},[133,26174,26175,26187],{},[136,26176,26177,26179,26181,26183,26185],{},[139,26178,5230],{},[143,26180,5233],{},[143,26182,146],{"stretchy":145},[139,26184,149],{},[143,26186,152],{"stretchy":145},[154,26188,26189],{"encoding":156},"\\ln(t)",[120,26191,26193],{"className":26192,"ariaHidden":162},[161],[120,26194,26196,26199,26202,26205,26208],{"className":26195},[166],[120,26197],{"className":26198,"style":171},[170],[120,26200,5230],{"className":26201},[879],[120,26203,146],{"className":26204},[181],[120,26206,149],{"className":26207},[175,176],[120,26209,152],{"className":26210},[188]," 服从正态分布。因此，只需对失效时间取对数，再与标准正态分位数作图。",[21,26213,26214,26215,26351],{},"对数正态分布 ",[120,26216,26218,26256],{"className":26217},[123],[120,26219,26221],{"className":26220},[127],[129,26222,26223],{"xmlns":131},[133,26224,26225,26253],{},[136,26226,26227,26230,26232,26235,26237,26243,26245,26251],{},[139,26228,26229],{},"L",[139,26231,24173],{},[139,26233,26234],{},"g",[143,26236,146],{"stretchy":145},[3621,26238,26239,26241],{},[139,26240,10357],{},[143,26242,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,26244,5577],{"separator":162},[3621,26246,26247,26249],{},[139,26248,10362],{},[143,26250,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,26252,152],{"stretchy":145},[154,26254,26255],{"encoding":156},"Log(\\mu',\\sigma')",[120,26257,26259],{"className":26258,"ariaHidden":162},[161],[120,26260,26262,26266,26269,26272,26275,26278,26310,26313,26316,26348],{"className":26261},[166],[120,26263],{"className":26264,"style":26265},[170],"height:1.0019em;vertical-align:-0.25em;",[120,26267,26229],{"className":26268},[175,176],[120,26270,24173],{"className":26271},[175,176],[120,26273,26234],{"className":26274,"style":5677},[175,176],[120,26276,146],{"className":26277},[181],[120,26279,26281,26284],{"className":26280},[175],[120,26282,10357],{"className":26283},[175,176],[120,26285,26287],{"className":26286},[722],[120,26288,26290],{"className":26289},[726],[120,26291,26293],{"className":26292},[731],[120,26294,26296],{"className":26295,"style":13877},[735],[120,26297,26298,26301],{"style":9686},[120,26299],{"className":26300,"style":744},[743],[120,26302,26304],{"className":26303},[748,749,750,751],[120,26305,26307],{"className":26306},[175,751],[120,26308,13253],{"className":26309},[175,751],[120,26311,5577],{"className":26312},[5661],[120,26314],{"className":26315,"style":993},[398],[120,26317,26319,26322],{"className":26318},[175],[120,26320,10362],{"className":26321,"style":5677},[175,176],[120,26323,26325],{"className":26324},[722],[120,26326,26328],{"className":26327},[726],[120,26329,26331],{"className":26330},[731],[120,26332,26334],{"className":26333,"style":13877},[735],[120,26335,26336,26339],{"style":9686},[120,26337],{"className":26338,"style":744},[743],[120,26340,26342],{"className":26341},[748,749,750,751],[120,26343,26345],{"className":26344},[175,751],[120,26346,13253],{"className":26347},[175,751],[120,26349,152],{"className":26350},[188]," 的 CDF 为：",[21,26353,26354],{},[120,26355,26357,26414],{"className":26356},[123],[120,26358,26360],{"className":26359},[127],[129,26361,26362],{"xmlns":131},[133,26363,26364,26412],{},[136,26365,26366,26368,26370,26372,26374,26376,26378],{},[139,26367,300],{},[143,26369,146],{"stretchy":145},[139,26371,149],{},[143,26373,152],{"stretchy":145},[143,26375,358],{},[139,26377,11567],{"mathvariant":672},[136,26379,26380,26382,26410],{},[143,26381,146],{"fence":162},[1043,26383,26384,26404],{},[136,26385,26386,26388,26390,26392,26394,26396,26398],{},[139,26387,5230],{},[143,26389,5233],{},[143,26391,146],{"stretchy":145},[139,26393,149],{},[143,26395,152],{"stretchy":145},[143,26397,669],{},[3621,26399,26400,26402],{},[139,26401,10357],{},[143,26403,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,26405,26406,26408],{},[139,26407,10362],{},[143,26409,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,26411,152],{"fence":162},[154,26413,15138],{"encoding":156},[120,26415,26417,26444],{"className":26416,"ariaHidden":162},[161],[120,26418,26420,26423,26426,26429,26432,26435,26438,26441],{"className":26419},[166],[120,26421],{"className":26422,"style":171},[170],[120,26424,300],{"className":26425},[175,176],[120,26427,146],{"className":26428},[181],[120,26430,149],{"className":26431},[175,176],[120,26433,152],{"className":26434},[188],[120,26436],{"className":26437,"style":399},[398],[120,26439,358],{"className":26440},[403],[120,26442],{"className":26443,"style":399},[398],[120,26445,26447,26450,26453,26456],{"className":26446},[166],[120,26448],{"className":26449,"style":3456},[170],[120,26451,11567],{"className":26452},[175],[120,26454],{"className":26455,"style":993},[398],[120,26457,26459,26465,26612],{"className":26458},[2781],[120,26460,26462],{"className":26461,"style":2786},[181,2785],[120,26463,146],{"className":26464},[2790,3472],[120,26466,26468,26471,26609],{"className":26467},[175],[120,26469],{"className":26470},[181,1113],[120,26472,26474],{"className":26473},[1043],[120,26475,26477,26601],{"className":26476},[726,727],[120,26478,26480,26598],{"className":26479},[731],[120,26481,26483,26526,26534],{"className":26482,"style":15208},[735],[120,26484,26485,26488],{"style":1129},[120,26486],{"className":26487,"style":1133},[743],[120,26489,26491],{"className":26490},[748,749,750,751],[120,26492,26494],{"className":26493},[175,751],[120,26495,26497,26500],{"className":26496},[175,751],[120,26498,10362],{"className":26499,"style":5677},[175,176,751],[120,26501,26503],{"className":26502},[722],[120,26504,26506],{"className":26505},[726],[120,26507,26509],{"className":26508},[731],[120,26510,26512],{"className":26511,"style":13413},[735],[120,26513,26514,26517],{"style":13416},[120,26515],{"className":26516,"style":954},[743],[120,26518,26520],{"className":26519},[748,958,959,751],[120,26521,26523],{"className":26522},[175,751],[120,26524,13253],{"className":26525},[175,751],[120,26527,26528,26531],{"style":1148},[120,26529],{"className":26530,"style":1133},[743],[120,26532],{"className":26533,"style":1156},[1155],[120,26535,26536,26539],{"style":1159},[120,26537],{"className":26538,"style":1133},[743],[120,26540,26542],{"className":26541},[748,749,750,751],[120,26543,26545,26554,26557,26560,26563,26566],{"className":26544},[175,751],[120,26546,26548,26551],{"className":26547},[879,751],[120,26549,13288],{"className":26550},[751],[120,26552,9521],{"className":26553},[751],[120,26555,146],{"className":26556},[181,751],[120,26558,149],{"className":26559},[175,176,751],[120,26561,152],{"className":26562},[188,751],[120,26564,669],{"className":26565},[1356,751],[120,26567,26569,26572],{"className":26568},[175,751],[120,26570,10357],{"className":26571},[175,176,751],[120,26573,26575],{"className":26574},[722],[120,26576,26578],{"className":26577},[726],[120,26579,26581],{"className":26580},[731],[120,26582,26584],{"className":26583,"style":15310},[735],[120,26585,26586,26589],{"style":15313},[120,26587],{"className":26588,"style":954},[743],[120,26590,26592],{"className":26591},[748,958,959,751],[120,26593,26595],{"className":26594},[175,751],[120,26596,13253],{"className":26597},[175,751],[120,26599,762],{"className":26600},[761],[120,26602,26604],{"className":26603},[731],[120,26605,26607],{"className":26606,"style":1197},[735],[120,26608],{},[120,26610],{"className":26611},[188,1113],[120,26613,26615],{"className":26614,"style":2786},[188,2785],[120,26616,152],{"className":26617},[2790,3472],[21,26619,26620],{},[120,26621,26623,26703],{"className":26622},[123],[120,26624,26626],{"className":26625},[127],[129,26627,26628],{"xmlns":131},[133,26629,26630,26700],{},[136,26631,26632,26634,26636,26646,26660,26662,26664,26678,26680,26690,26692,26694,26696,26698],{},[143,26633,2682],{},[364,26635,423],{},[3621,26637,26638,26640],{},[139,26639,11567],{"mathvariant":672},[136,26641,26642,26644],{},[143,26643,669],{},[360,26645,1294],{},[136,26647,26648,26650,26652,26654,26656,26658],{},[143,26649,3855],{"fence":162},[139,26651,300],{},[143,26653,146],{"stretchy":145},[139,26655,149],{},[143,26657,152],{"stretchy":145},[143,26659,3874],{"fence":162},[143,26661,358],{},[143,26663,669],{},[1043,26665,26666,26672],{},[3621,26667,26668,26670],{},[139,26669,10357],{},[143,26671,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3621,26673,26674,26676],{},[139,26675,10362],{},[143,26677,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,26679,2646],{},[1043,26681,26682,26684],{},[360,26683,1294],{},[3621,26685,26686,26688],{},[139,26687,10362],{},[143,26689,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[139,26691,5230],{},[143,26693,5233],{},[143,26695,146],{"stretchy":145},[139,26697,149],{},[143,26699,152],{"stretchy":145},[154,26701,26702],{"encoding":156},"\\Rightarrow \\ \\Phi^{- 1}\\left\\lbrack Q(t) \\right\\rbrack = - \\frac{\\mu'}{\\sigma'} + \\frac{1}{\\sigma'}\\ln(t)",[120,26704,26706,26721,26795,26941],{"className":26705,"ariaHidden":162},[161],[120,26707,26709,26712,26715,26718],{"className":26708},[166],[120,26710],{"className":26711,"style":22271},[170],[120,26713,2682],{"className":26714},[403],[120,26716,423],{"className":26717},[398],[120,26719],{"className":26720,"style":399},[398],[120,26722,26724,26727,26762,26765,26786,26789,26792],{"className":26723},[166],[120,26725],{"className":26726,"style":24823},[170],[120,26728,26730,26733],{"className":26729},[175],[120,26731,11567],{"className":26732},[175],[120,26734,26736],{"className":26735},[722],[120,26737,26739],{"className":26738},[726],[120,26740,26742],{"className":26741},[731],[120,26743,26745],{"className":26744,"style":9720},[735],[120,26746,26747,26750],{"style":9686},[120,26748],{"className":26749,"style":744},[743],[120,26751,26753],{"className":26752},[748,749,750,751],[120,26754,26756,26759],{"className":26755},[175,751],[120,26757,669],{"className":26758},[175,751],[120,26760,1294],{"className":26761},[175,751],[120,26763],{"className":26764,"style":993},[398],[120,26766,26768,26771,26774,26777,26780,26783],{"className":26767},[2781],[120,26769,3855],{"className":26770,"style":2786},[181,2785],[120,26772,300],{"className":26773},[175,176],[120,26775,146],{"className":26776},[181],[120,26778,149],{"className":26779},[175,176],[120,26781,152],{"className":26782},[188],[120,26784,3874],{"className":26785,"style":2786},[188,2785],[120,26787],{"className":26788,"style":399},[398],[120,26790,358],{"className":26791},[403],[120,26793],{"className":26794,"style":399},[398],[120,26796,26798,26802,26805,26932,26935,26938],{"className":26797},[166],[120,26799],{"className":26800,"style":26801},[170],"height:1.3706em;vertical-align:-0.345em;",[120,26803,669],{"className":26804},[175],[120,26806,26808,26811,26929],{"className":26807},[175],[120,26809],{"className":26810},[181,1113],[120,26812,26814],{"className":26813},[1043],[120,26815,26817,26921],{"className":26816},[726,727],[120,26818,26820,26918],{"className":26819},[731],[120,26821,26824,26867,26875],{"className":26822,"style":26823},[735],"height:1.0256em;",[120,26825,26826,26829],{"style":1129},[120,26827],{"className":26828,"style":1133},[743],[120,26830,26832],{"className":26831},[748,749,750,751],[120,26833,26835],{"className":26834},[175,751],[120,26836,26838,26841],{"className":26837},[175,751],[120,26839,10362],{"className":26840,"style":5677},[175,176,751],[120,26842,26844],{"className":26843},[722],[120,26845,26847],{"className":26846},[726],[120,26848,26850],{"className":26849},[731],[120,26851,26853],{"className":26852,"style":13413},[735],[120,26854,26855,26858],{"style":13416},[120,26856],{"className":26857,"style":954},[743],[120,26859,26861],{"className":26860},[748,958,959,751],[120,26862,26864],{"className":26863},[175,751],[120,26865,13253],{"className":26866},[175,751],[120,26868,26869,26872],{"style":1148},[120,26870],{"className":26871,"style":1133},[743],[120,26873],{"className":26874,"style":1156},[1155],[120,26876,26877,26880],{"style":5740},[120,26878],{"className":26879,"style":1133},[743],[120,26881,26883],{"className":26882},[748,749,750,751],[120,26884,26886],{"className":26885},[175,751],[120,26887,26889,26892],{"className":26888},[175,751],[120,26890,10357],{"className":26891},[175,176,751],[120,26893,26895],{"className":26894},[722],[120,26896,26898],{"className":26897},[726],[120,26899,26901],{"className":26900},[731],[120,26902,26904],{"className":26903,"style":15310},[735],[120,26905,26906,26909],{"style":15313},[120,26907],{"className":26908,"style":954},[743],[120,26910,26912],{"className":26911},[748,958,959,751],[120,26913,26915],{"className":26914},[175,751],[120,26916,13253],{"className":26917},[175,751],[120,26919,762],{"className":26920},[761],[120,26922,26924],{"className":26923},[731],[120,26925,26927],{"className":26926,"style":1197},[735],[120,26928],{},[120,26930],{"className":26931},[188,1113],[120,26933],{"className":26934,"style":1352},[398],[120,26936,2646],{"className":26937},[1356],[120,26939],{"className":26940,"style":1352},[398],[120,26942,26944,26948,27045,27048,27051,27054,27057],{"className":26943},[166],[120,26945],{"className":26946,"style":26947},[170],"height:1.1901em;vertical-align:-0.345em;",[120,26949,26951,26954,27042],{"className":26950},[175],[120,26952],{"className":26953},[181,1113],[120,26955,26957],{"className":26956},[1043],[120,26958,26960,27034],{"className":26959},[726,727],[120,26961,26963,27031],{"className":26962},[731],[120,26964,26966,27009,27017],{"className":26965,"style":9429},[735],[120,26967,26968,26971],{"style":1129},[120,26969],{"className":26970,"style":1133},[743],[120,26972,26974],{"className":26973},[748,749,750,751],[120,26975,26977],{"className":26976},[175,751],[120,26978,26980,26983],{"className":26979},[175,751],[120,26981,10362],{"className":26982,"style":5677},[175,176,751],[120,26984,26986],{"className":26985},[722],[120,26987,26989],{"className":26988},[726],[120,26990,26992],{"className":26991},[731],[120,26993,26995],{"className":26994,"style":13413},[735],[120,26996,26997,27000],{"style":13416},[120,26998],{"className":26999,"style":954},[743],[120,27001,27003],{"className":27002},[748,958,959,751],[120,27004,27006],{"className":27005},[175,751],[120,27007,13253],{"className":27008},[175,751],[120,27010,27011,27014],{"style":1148},[120,27012],{"className":27013,"style":1133},[743],[120,27015],{"className":27016,"style":1156},[1155],[120,27018,27019,27022],{"style":1879},[120,27020],{"className":27021,"style":1133},[743],[120,27023,27025],{"className":27024},[748,749,750,751],[120,27026,27028],{"className":27027},[175,751],[120,27029,1294],{"className":27030},[175,751],[120,27032,762],{"className":27033},[761],[120,27035,27037],{"className":27036},[731],[120,27038,27040],{"className":27039,"style":1197},[735],[120,27041],{},[120,27043],{"className":27044},[188,1113],[120,27046],{"className":27047,"style":993},[398],[120,27049,5230],{"className":27050},[879],[120,27052,146],{"className":27053},[181],[120,27055,149],{"className":27056},[175,176],[120,27058,152],{"className":27059},[188],[21,27061,9500],{},[6121,27063,27064,27128],{},[103,27065,27066,27127],{},[120,27067,27069,27086],{"className":27068},[123],[120,27070,27072],{"className":27071},[127],[129,27073,27074],{"xmlns":131},[133,27075,27076,27084],{},[136,27077,27078],{},[3621,27079,27080,27082],{},[139,27081,10357],{},[143,27083,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,27085,13848],{"encoding":156},[120,27087,27089],{"className":27088,"ariaHidden":162},[161],[120,27090,27092,27095],{"className":27091},[166],[120,27093],{"className":27094,"style":13858},[170],[120,27096,27098,27101],{"className":27097},[175],[120,27099,10357],{"className":27100},[175,176],[120,27102,27104],{"className":27103},[722],[120,27105,27107],{"className":27106},[726],[120,27108,27110],{"className":27109},[731],[120,27111,27113],{"className":27112,"style":13877},[735],[120,27114,27115,27118],{"style":9686},[120,27116],{"className":27117,"style":744},[743],[120,27119,27121],{"className":27120},[748,749,750,751],[120,27122,27124],{"className":27123},[175,751],[120,27125,13253],{"className":27126},[175,751]," 是对数变换后失效时间的均值。",[103,27129,27130,27191],{},[120,27131,27133,27150],{"className":27132},[123],[120,27134,27136],{"className":27135},[127],[129,27137,27138],{"xmlns":131},[133,27139,27140,27148],{},[136,27141,27142],{},[3621,27143,27144,27146],{},[139,27145,10362],{},[143,27147,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,27149,13943],{"encoding":156},[120,27151,27153],{"className":27152,"ariaHidden":162},[161],[120,27154,27156,27159],{"className":27155},[166],[120,27157],{"className":27158,"style":13877},[170],[120,27160,27162,27165],{"className":27161},[175],[120,27163,10362],{"className":27164,"style":5677},[175,176],[120,27166,27168],{"className":27167},[722],[120,27169,27171],{"className":27170},[726],[120,27172,27174],{"className":27173},[731],[120,27175,27177],{"className":27176,"style":13877},[735],[120,27178,27179,27182],{"style":9686},[120,27180],{"className":27181,"style":744},[743],[120,27183,27185],{"className":27184},[748,749,750,751],[120,27186,27188],{"className":27187},[175,751],[120,27189,13253],{"className":27190},[175,751]," 是对数变换后失效时间的标准差。",[21,27193,27194,27195,27290,27291,27336,27337,20977],{},"若以 ",[120,27196,27198,27231],{"className":27197},[123],[120,27199,27201],{"className":27200},[127],[129,27202,27203],{"xmlns":131},[133,27204,27205,27229],{},[136,27206,27207,27217,27219,27221,27223,27225,27227],{},[3621,27208,27209,27211],{},[139,27210,11567],{"mathvariant":672},[136,27212,27213,27215],{},[143,27214,669],{},[360,27216,1294],{},[143,27218,146],{"stretchy":145},[139,27220,300],{},[143,27222,146],{"stretchy":145},[139,27224,149],{},[143,27226,152],{"stretchy":145},[143,27228,152],{"stretchy":145},[154,27230,24813],{"encoding":156},[120,27232,27234],{"className":27233,"ariaHidden":162},[161],[120,27235,27237,27240,27275,27278,27281,27284,27287],{"className":27236},[166],[120,27238],{"className":27239,"style":24823},[170],[120,27241,27243,27246],{"className":27242},[175],[120,27244,11567],{"className":27245},[175],[120,27247,27249],{"className":27248},[722],[120,27250,27252],{"className":27251},[726],[120,27253,27255],{"className":27254},[731],[120,27256,27258],{"className":27257,"style":9720},[735],[120,27259,27260,27263],{"style":9686},[120,27261],{"className":27262,"style":744},[743],[120,27264,27266],{"className":27265},[748,749,750,751],[120,27267,27269,27272],{"className":27268},[175,751],[120,27270,669],{"className":27271},[175,751],[120,27273,1294],{"className":27274},[175,751],[120,27276,146],{"className":27277},[181],[120,27279,300],{"className":27280},[175,176],[120,27282,146],{"className":27283},[181],[120,27285,149],{"className":27286},[175,176],[120,27288,1187],{"className":27289},[188]," 为 Y 轴，以 ",[120,27292,27294,27315],{"className":27293},[123],[120,27295,27297],{"className":27296},[127],[129,27298,27299],{"xmlns":131},[133,27300,27301,27313],{},[136,27302,27303,27305,27307,27309,27311],{},[139,27304,5230],{},[143,27306,5233],{},[143,27308,146],{"stretchy":145},[139,27310,149],{},[143,27312,152],{"stretchy":145},[154,27314,26189],{"encoding":156},[120,27316,27318],{"className":27317,"ariaHidden":162},[161],[120,27319,27321,27324,27327,27330,27333],{"className":27320},[166],[120,27322],{"className":27323,"style":171},[170],[120,27325,5230],{"className":27326},[879],[120,27328,146],{"className":27329},[181],[120,27331,149],{"className":27332},[175,176],[120,27334,152],{"className":27335},[188]," 为 X 轴，对数正态分布的 CDF 将形成一条斜率为 ",[120,27338,27340,27362],{"className":27339},[123],[120,27341,27343],{"className":27342},[127],[129,27344,27345],{"xmlns":131},[133,27346,27347,27359],{},[136,27348,27349,27351,27353],{},[360,27350,1294],{},[139,27352,2520],{"mathvariant":672},[3621,27354,27355,27357],{},[139,27356,10362],{},[143,27358,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,27360,27361],{"encoding":156},"1/\\sigma'",[120,27363,27365],{"className":27364,"ariaHidden":162},[161],[120,27366,27368,27371,27374],{"className":27367},[166],[120,27369],{"className":27370,"style":26265},[170],[120,27372,24982],{"className":27373},[175],[120,27375,27377,27380],{"className":27376},[175],[120,27378,10362],{"className":27379,"style":5677},[175,176],[120,27381,27383],{"className":27382},[722],[120,27384,27386],{"className":27385},[726],[120,27387,27389],{"className":27388},[731],[120,27390,27392],{"className":27391,"style":13877},[735],[120,27393,27394,27397],{"style":9686},[120,27395],{"className":27396,"style":744},[743],[120,27398,27400],{"className":27399},[748,749,750,751],[120,27401,27403],{"className":27402},[175,751],[120,27404,13253],{"className":27405},[175,751],[21,27407,27408],{},"将 Y 轴的累积概率转换为标准正态分位数：",[21,27410,27411],{},[120,27412,27414,27452],{"className":27413},[123],[120,27415,27417],{"className":27416},[127],[129,27418,27419],{"xmlns":131},[133,27420,27421,27449],{},[136,27422,27423,27425,27427,27437,27439,27441,27443,27445,27447],{},[139,27424,23686],{},[143,27426,358],{},[3621,27428,27429,27431],{},[139,27430,11567],{"mathvariant":672},[136,27432,27433,27435],{},[143,27434,669],{},[360,27436,1294],{},[143,27438,146],{"stretchy":145},[139,27440,300],{},[143,27442,146],{"stretchy":145},[139,27444,149],{},[143,27446,152],{"stretchy":145},[143,27448,152],{"stretchy":145},[154,27450,27451],{"encoding":156},"Z=\\Phi^{-1}(Q(t))",[120,27453,27455,27473],{"className":27454,"ariaHidden":162},[161],[120,27456,27458,27461,27464,27467,27470],{"className":27457},[166],[120,27459],{"className":27460,"style":1540},[170],[120,27462,23686],{"className":27463,"style":22593},[175,176],[120,27465],{"className":27466,"style":399},[398],[120,27468,358],{"className":27469},[403],[120,27471],{"className":27472,"style":399},[398],[120,27474,27476,27479,27514,27517,27520,27523,27526],{"className":27475},[166],[120,27477],{"className":27478,"style":24823},[170],[120,27480,27482,27485],{"className":27481},[175],[120,27483,11567],{"className":27484},[175],[120,27486,27488],{"className":27487},[722],[120,27489,27491],{"className":27490},[726],[120,27492,27494],{"className":27493},[731],[120,27495,27497],{"className":27496,"style":9720},[735],[120,27498,27499,27502],{"style":9686},[120,27500],{"className":27501,"style":744},[743],[120,27503,27505],{"className":27504},[748,749,750,751],[120,27506,27508,27511],{"className":27507},[175,751],[120,27509,669],{"className":27510},[175,751],[120,27512,1294],{"className":27513},[175,751],[120,27515,146],{"className":27516},[181],[120,27518,300],{"className":27519},[175,176],[120,27521,146],{"className":27522},[181],[120,27524,149],{"className":27525},[175,176],[120,27527,1187],{"className":27528},[188],[21,27530,27531,27532,27577,27578,27580],{},"同时将 X 轴转换为 ",[120,27533,27535,27556],{"className":27534},[123],[120,27536,27538],{"className":27537},[127],[129,27539,27540],{"xmlns":131},[133,27541,27542,27554],{},[136,27543,27544,27546,27548,27550,27552],{},[139,27545,5230],{},[143,27547,5233],{},[143,27549,146],{"stretchy":145},[139,27551,149],{},[143,27553,152],{"stretchy":145},[154,27555,26189],{"encoding":156},[120,27557,27559],{"className":27558,"ariaHidden":162},[161],[120,27560,27562,27565,27568,27571,27574],{"className":27561},[166],[120,27563],{"className":27564,"style":171},[170],[120,27566,5230],{"className":27567},[879],[120,27569,146],{"className":27570},[181],[120,27572,149],{"className":27573},[175,176],[120,27575,152],{"className":27576},[188],"。可使用标准正态表或 Excel 函数 ",[19768,27579,25169],{}," 求取 Z 值。",[62,27582],{"src":27583,"alt":27584,"width":1507},"/media/image34.png","将 X 轴转换为 ln(t)，Y 轴转换为标准正态分位数",[21,27586,21044,27587,27656],{},[120,27588,27590,27620],{"className":27589},[123],[120,27591,27593],{"className":27592},[127],[129,27594,27595],{"xmlns":131},[133,27596,27597,27617],{},[136,27598,27599,27601,27603,27605,27607,27609,27611,27613,27615],{},[143,27600,146],{"stretchy":145},[139,27602,5230],{},[143,27604,5233],{},[143,27606,146],{"stretchy":145},[139,27608,149],{},[143,27610,152],{"stretchy":145},[143,27612,5577],{"separator":162},[139,27614,23686],{},[143,27616,152],{"stretchy":145},[154,27618,27619],{"encoding":156},"(\\ln(t),Z)",[120,27621,27623],{"className":27622,"ariaHidden":162},[161],[120,27624,27626,27629,27632,27635,27638,27641,27644,27647,27650,27653],{"className":27625},[166],[120,27627],{"className":27628,"style":171},[170],[120,27630,146],{"className":27631},[181],[120,27633,5230],{"className":27634},[879],[120,27636,146],{"className":27637},[181],[120,27639,149],{"className":27640},[175,176],[120,27642,152],{"className":27643},[188],[120,27645,5577],{"className":27646},[5661],[120,27648],{"className":27649,"style":993},[398],[120,27651,23686],{"className":27652,"style":22593},[175,176],[120,27654,152],{"className":27655},[188]," 绘制在对数正态概率纸上。",[62,27658],{"src":27659,"alt":27660,"width":66},"/media/image35.png","对数正态概率图",[21,27662,27663,27664,27725,27726,27777,27778,27846,27847,27948,27949,28016,28017,28069],{},"对数均值 ",[120,27665,27667,27684],{"className":27666},[123],[120,27668,27670],{"className":27669},[127],[129,27671,27672],{"xmlns":131},[133,27673,27674,27682],{},[136,27675,27676],{},[3621,27677,27678,27680],{},[139,27679,10357],{},[143,27681,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,27683,13848],{"encoding":156},[120,27685,27687],{"className":27686,"ariaHidden":162},[161],[120,27688,27690,27693],{"className":27689},[166],[120,27691],{"className":27692,"style":13858},[170],[120,27694,27696,27699],{"className":27695},[175],[120,27697,10357],{"className":27698},[175,176],[120,27700,27702],{"className":27701},[722],[120,27703,27705],{"className":27704},[726],[120,27706,27708],{"className":27707},[731],[120,27709,27711],{"className":27710,"style":13877},[735],[120,27712,27713,27716],{"style":9686},[120,27714],{"className":27715,"style":744},[743],[120,27717,27719],{"className":27718},[748,749,750,751],[120,27720,27722],{"className":27721},[175,751],[120,27723,13253],{"className":27724},[175,751]," 出现在 ",[120,27727,27729,27747],{"className":27728},[123],[120,27730,27732],{"className":27731},[127],[129,27733,27734],{"xmlns":131},[133,27735,27736,27744],{},[136,27737,27738,27740,27742],{},[139,27739,23686],{},[143,27741,358],{},[360,27743,523],{},[154,27745,27746],{"encoding":156},"Z=0",[120,27748,27750,27768],{"className":27749,"ariaHidden":162},[161],[120,27751,27753,27756,27759,27762,27765],{"className":27752},[166],[120,27754],{"className":27755,"style":1540},[170],[120,27757,23686],{"className":27758,"style":22593},[175,176],[120,27760],{"className":27761,"style":399},[398],[120,27763,358],{"className":27764},[403],[120,27766],{"className":27767,"style":399},[398],[120,27769,27771,27774],{"className":27770},[166],[120,27772],{"className":27773,"style":447},[170],[120,27775,523],{"className":27776},[175],"，即 ",[120,27779,27781,27807],{"className":27780},[123],[120,27782,27784],{"className":27783},[127],[129,27785,27786],{"xmlns":131},[133,27787,27788,27804],{},[136,27789,27790,27792,27794,27796,27798,27800,27802],{},[139,27791,300],{},[143,27793,146],{"stretchy":145},[139,27795,149],{},[143,27797,152],{"stretchy":145},[143,27799,358],{},[360,27801,25346],{},[139,27803,23400],{"mathvariant":672},[154,27805,27806],{"encoding":156},"Q(t)=50\\%",[120,27808,27810,27837],{"className":27809,"ariaHidden":162},[161],[120,27811,27813,27816,27819,27822,27825,27828,27831,27834],{"className":27812},[166],[120,27814],{"className":27815,"style":171},[170],[120,27817,300],{"className":27818},[175,176],[120,27820,146],{"className":27821},[181],[120,27823,149],{"className":27824},[175,176],[120,27826,152],{"className":27827},[188],[120,27829],{"className":27830,"style":399},[398],[120,27832,358],{"className":27833},[403],[120,27835],{"className":27836,"style":399},[398],[120,27838,27840,27843],{"className":27839},[166],[120,27841],{"className":27842,"style":23545},[170],[120,27844,25409],{"className":27845},[175]," 的位置，此时 ",[120,27848,27850,27880],{"className":27849},[123],[120,27851,27853],{"className":27852},[127],[129,27854,27855],{"xmlns":131},[133,27856,27857,27877],{},[136,27858,27859,27861,27863,27865,27867,27869,27871],{},[139,27860,5230],{},[143,27862,5233],{},[143,27864,146],{"stretchy":145},[139,27866,149],{},[143,27868,152],{"stretchy":145},[143,27870,358],{},[3621,27872,27873,27875],{},[139,27874,10357],{},[143,27876,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,27878,27879],{"encoding":156},"\\ln(t)=\\mu'",[120,27881,27883,27910],{"className":27882,"ariaHidden":162},[161],[120,27884,27886,27889,27892,27895,27898,27901,27904,27907],{"className":27885},[166],[120,27887],{"className":27888,"style":171},[170],[120,27890,5230],{"className":27891},[879],[120,27893,146],{"className":27894},[181],[120,27896,149],{"className":27897},[175,176],[120,27899,152],{"className":27900},[188],[120,27902],{"className":27903,"style":399},[398],[120,27905,358],{"className":27906},[403],[120,27908],{"className":27909,"style":399},[398],[120,27911,27913,27916],{"className":27912},[166],[120,27914],{"className":27915,"style":13858},[170],[120,27917,27919,27922],{"className":27918},[175],[120,27920,10357],{"className":27921},[175,176],[120,27923,27925],{"className":27924},[722],[120,27926,27928],{"className":27927},[726],[120,27929,27931],{"className":27930},[731],[120,27932,27934],{"className":27933,"style":13877},[735],[120,27935,27936,27939],{"style":9686},[120,27937],{"className":27938,"style":744},[743],[120,27940,27942],{"className":27941},[748,749,750,751],[120,27943,27945],{"className":27944},[175,751],[120,27946,13253],{"className":27947},[175,751],"。本例中 ",[120,27950,27952,27977],{"className":27951},[123],[120,27953,27955],{"className":27954},[127],[129,27956,27957],{"xmlns":131},[133,27958,27959,27975],{},[136,27960,27961,27963,27965,27967,27969,27971,27973],{},[139,27962,300],{},[143,27964,146],{"stretchy":145},[139,27966,149],{},[143,27968,152],{"stretchy":145},[143,27970,358],{},[360,27972,25346],{},[139,27974,23400],{"mathvariant":672},[154,27976,27806],{"encoding":156},[120,27978,27980,28007],{"className":27979,"ariaHidden":162},[161],[120,27981,27983,27986,27989,27992,27995,27998,28001,28004],{"className":27982},[166],[120,27984],{"className":27985,"style":171},[170],[120,27987,300],{"className":27988},[175,176],[120,27990,146],{"className":27991},[181],[120,27993,149],{"className":27994},[175,176],[120,27996,152],{"className":27997},[188],[120,27999],{"className":28000,"style":399},[398],[120,28002,358],{"className":28003},[403],[120,28005],{"className":28006,"style":399},[398],[120,28008,28010,28013],{"className":28009},[166],[120,28011],{"className":28012,"style":23545},[170],[120,28014,25409],{"className":28015},[175]," 对应的 ",[120,28018,28020,28039],{"className":28019},[123],[120,28021,28023],{"className":28022},[127],[129,28024,28025],{"xmlns":131},[133,28026,28027,28036],{},[136,28028,28029,28031,28033],{},[139,28030,149],{},[143,28032,358],{},[360,28034,28035],{},"33.1",[154,28037,28038],{"encoding":156},"t=33.1",[120,28040,28042,28060],{"className":28041,"ariaHidden":162},[161],[120,28043,28045,28048,28051,28054,28057],{"className":28044},[166],[120,28046],{"className":28047,"style":231},[170],[120,28049,149],{"className":28050},[175,176],[120,28052],{"className":28053,"style":399},[398],[120,28055,358],{"className":28056},[403],[120,28058],{"className":28059,"style":399},[398],[120,28061,28063,28066],{"className":28062},[166],[120,28064],{"className":28065,"style":447},[170],[120,28067,28035],{"className":28068},[175],"，因此：",[21,28071,28072],{},[120,28073,28075,28110],{"className":28074},[123],[120,28076,28078],{"className":28077},[127],[129,28079,28080],{"xmlns":131},[133,28081,28082,28107],{},[136,28083,28084,28090,28092,28094,28096,28098,28100,28102,28104],{},[3621,28085,28086,28088],{},[139,28087,10357],{},[143,28089,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,28091,358],{},[139,28093,5230],{},[143,28095,5233],{},[143,28097,146],{"stretchy":145},[360,28099,28035],{},[143,28101,152],{"stretchy":145},[143,28103,358],{},[360,28105,28106],{},"3.5",[154,28108,28109],{"encoding":156},"\\mu'=\\ln(33.1)=3.5",[120,28111,28113,28160,28187],{"className":28112,"ariaHidden":162},[161],[120,28114,28116,28119,28151,28154,28157],{"className":28115},[166],[120,28117],{"className":28118,"style":13858},[170],[120,28120,28122,28125],{"className":28121},[175],[120,28123,10357],{"className":28124},[175,176],[120,28126,28128],{"className":28127},[722],[120,28129,28131],{"className":28130},[726],[120,28132,28134],{"className":28133},[731],[120,28135,28137],{"className":28136,"style":13877},[735],[120,28138,28139,28142],{"style":9686},[120,28140],{"className":28141,"style":744},[743],[120,28143,28145],{"className":28144},[748,749,750,751],[120,28146,28148],{"className":28147},[175,751],[120,28149,13253],{"className":28150},[175,751],[120,28152],{"className":28153,"style":399},[398],[120,28155,358],{"className":28156},[403],[120,28158],{"className":28159,"style":399},[398],[120,28161,28163,28166,28169,28172,28175,28178,28181,28184],{"className":28162},[166],[120,28164],{"className":28165,"style":171},[170],[120,28167,5230],{"className":28168},[879],[120,28170,146],{"className":28171},[181],[120,28173,28035],{"className":28174},[175],[120,28176,152],{"className":28177},[188],[120,28179],{"className":28180,"style":399},[398],[120,28182,358],{"className":28183},[403],[120,28185],{"className":28186,"style":399},[398],[120,28188,28190,28193],{"className":28189},[166],[120,28191],{"className":28192,"style":447},[170],[120,28194,28106],{"className":28195},[175],[21,28197,23638,28198,28259,28260,6088,28310,28365,28366,28394],{},[120,28199,28201,28218],{"className":28200},[123],[120,28202,28204],{"className":28203},[127],[129,28205,28206],{"xmlns":131},[133,28207,28208,28216],{},[136,28209,28210],{},[3621,28211,28212,28214],{},[139,28213,10362],{},[143,28215,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[154,28217,13943],{"encoding":156},[120,28219,28221],{"className":28220,"ariaHidden":162},[161],[120,28222,28224,28227],{"className":28223},[166],[120,28225],{"className":28226,"style":13877},[170],[120,28228,28230,28233],{"className":28229},[175],[120,28231,10362],{"className":28232,"style":5677},[175,176],[120,28234,28236],{"className":28235},[722],[120,28237,28239],{"className":28238},[726],[120,28240,28242],{"className":28241},[731],[120,28243,28245],{"className":28244,"style":13877},[735],[120,28246,28247,28250],{"style":9686},[120,28248],{"className":28249,"style":744},[743],[120,28251,28253],{"className":28252},[748,749,750,751],[120,28254,28256],{"className":28255},[175,751],[120,28257,13253],{"className":28258},[175,751],"，在拟合线上选择两个已知 Z 值的点（例如 ",[120,28261,28263,28280],{"className":28262},[123],[120,28264,28266],{"className":28265},[127],[129,28267,28268],{"xmlns":131},[133,28269,28270,28278],{},[136,28271,28272,28274,28276],{},[139,28273,23686],{},[143,28275,358],{},[360,28277,1294],{},[154,28279,25514],{"encoding":156},[120,28281,28283,28301],{"className":28282,"ariaHidden":162},[161],[120,28284,28286,28289,28292,28295,28298],{"className":28285},[166],[120,28287],{"className":28288,"style":1540},[170],[120,28290,23686],{"className":28291,"style":22593},[175,176],[120,28293],{"className":28294,"style":399},[398],[120,28296,358],{"className":28297},[403],[120,28299],{"className":28300,"style":399},[398],[120,28302,28304,28307],{"className":28303},[166],[120,28305],{"className":28306,"style":447},[170],[120,28308,1294],{"className":28309},[175],[120,28311,28313,28332],{"className":28312},[123],[120,28314,28316],{"className":28315},[127],[129,28317,28318],{"xmlns":131},[133,28319,28320,28330],{},[136,28321,28322,28324,28326,28328],{},[139,28323,23686],{},[143,28325,358],{},[143,28327,669],{},[360,28329,1294],{},[154,28331,25567],{"encoding":156},[120,28333,28335,28353],{"className":28334,"ariaHidden":162},[161],[120,28336,28338,28341,28344,28347,28350],{"className":28337},[166],[120,28339],{"className":28340,"style":1540},[170],[120,28342,23686],{"className":28343,"style":22593},[175,176],[120,28345],{"className":28346,"style":399},[398],[120,28348,358],{"className":28349},[403],[120,28351],{"className":28352,"style":399},[398],[120,28354,28356,28359,28362],{"className":28355},[166],[120,28357],{"className":28358,"style":1345},[170],[120,28360,669],{"className":28361},[175],[120,28363,1294],{"className":28364},[175],"），并计算斜率的倒数。本例中相应的 ",[120,28367,28369,28382],{"className":28368},[123],[120,28370,28372],{"className":28371},[127],[129,28373,28374],{"xmlns":131},[133,28375,28376,28380],{},[136,28377,28378],{},[139,28379,149],{},[154,28381,149],{"encoding":156},[120,28383,28385],{"className":28384,"ariaHidden":162},[161],[120,28386,28388,28391],{"className":28387},[166],[120,28389],{"className":28390,"style":231},[170],[120,28392,149],{"className":28393},[175,176]," 值为 18.3 和 52.5。",[62,28396],{"src":28397,"alt":28398,"width":66},"/media/image36.png","从概率图求取对数正态分布参数",[21,28400,28401],{},"对数标准差为：",[120,28403,28405],{"className":28404},[1588],[120,28406,28408,28505],{"className":28407},[123],[120,28409,28411],{"className":28410},[127],[129,28412,28413],{"xmlns":131,"display":1597},[133,28414,28415,28502],{},[136,28416,28417,28433,28479],{},[136,28418,28419,28425,28427],{},[3621,28420,28421,28423],{},[139,28422,10362],{},[143,28424,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,28426,358],{},[1043,28428,28429,28431],{},[360,28430,1294],{},[364,28432,21489],{},[136,28434,28435,28437],{},[143,28436,358],{},[1043,28438,28439,28465],{},[136,28440,28441,28443,28445,28447,28450,28452,28454,28456,28458,28460,28463],{},[139,28442,5230],{},[143,28444,5233],{},[143,28446,146],{"stretchy":145},[360,28448,28449],{},"52.5",[143,28451,152],{"stretchy":145},[143,28453,669],{},[139,28455,13288],{},[139,28457,9521],{},[143,28459,146],{"stretchy":145},[360,28461,28462],{},"18.3",[143,28464,152],{"stretchy":145},[136,28466,28467,28469,28471,28473,28475,28477],{},[360,28468,1294],{},[143,28470,669],{},[143,28472,146],{"stretchy":145},[143,28474,669],{},[360,28476,1294],{},[143,28478,152],{"stretchy":145},[136,28480,28481,28483,28497,28499],{},[143,28482,358],{},[1043,28484,28485,28495],{},[136,28486,28487,28490,28492],{},[360,28488,28489],{},"3.91",[143,28491,669],{},[360,28493,28494],{},"3",[360,28496,9849],{},[143,28498,358],{},[360,28500,28501],{},"0.46",[154,28503,28504],{"encoding":156},"{\\sigma' = \\frac{1}{\\text{斜率}}\n}{= \\frac{\\ln(52.5) - ln(18.3)}{1 - ( - 1)}\n}{= \\frac{3.91 - 3}{2} = 0.46}",[120,28506,28508],{"className":28507,"ariaHidden":162},[161],[120,28509,28511,28515,28625,28750],{"className":28510},[166],[120,28512],{"className":28513,"style":28514},[170],"height:2.363em;vertical-align:-0.936em;",[120,28516,28518,28551,28554,28557,28560],{"className":28517},[175],[120,28519,28521,28524],{"className":28520},[175],[120,28522,10362],{"className":28523,"style":5677},[175,176],[120,28525,28527],{"className":28526},[722],[120,28528,28530],{"className":28529},[726],[120,28531,28533],{"className":28532},[731],[120,28534,28537],{"className":28535,"style":28536},[735],"height:0.8019em;",[120,28538,28539,28542],{"style":4071},[120,28540],{"className":28541,"style":744},[743],[120,28543,28545],{"className":28544},[748,749,750,751],[120,28546,28548],{"className":28547},[175,751],[120,28549,13253],{"className":28550},[175,751],[120,28552],{"className":28553,"style":399},[398],[120,28555,358],{"className":28556},[403],[120,28558],{"className":28559,"style":399},[398],[120,28561,28563,28566,28622],{"className":28562},[175],[120,28564],{"className":28565},[181,1113],[120,28567,28569],{"className":28568},[1043],[120,28570,28572,28614],{"className":28571},[726,727],[120,28573,28575,28611],{"className":28574},[731],[120,28576,28578,28592,28600],{"className":28577,"style":5045},[735],[120,28579,28580,28583],{"style":1796},[120,28581],{"className":28582,"style":1133},[743],[120,28584,28586],{"className":28585},[175],[120,28587,28589],{"className":28588},[175,419],[120,28590,21489],{"className":28591},[175,427],[120,28593,28594,28597],{"style":1148},[120,28595],{"className":28596,"style":1133},[743],[120,28598],{"className":28599,"style":1156},[1155],[120,28601,28602,28605],{"style":1983},[120,28603],{"className":28604,"style":1133},[743],[120,28606,28608],{"className":28607},[175],[120,28609,1294],{"className":28610},[175],[120,28612,762],{"className":28613},[761],[120,28615,28617],{"className":28616},[731],[120,28618,28620],{"className":28619,"style":1919},[735],[120,28621],{},[120,28623],{"className":28624},[188,1113],[120,28626,28628,28631,28634],{"className":28627},[175],[120,28629,358],{"className":28630},[403],[120,28632],{"className":28633,"style":399},[398],[120,28635,28637,28640,28747],{"className":28636},[175],[120,28638],{"className":28639},[181,1113],[120,28641,28643],{"className":28642},[1043],[120,28644,28646,28739],{"className":28645},[726,727],[120,28647,28649,28736],{"className":28648},[731],[120,28650,28652,28684,28692],{"className":28651,"style":2272},[735],[120,28653,28654,28657],{"style":1796},[120,28655],{"className":28656,"style":1133},[743],[120,28658,28660,28663,28666,28669,28672,28675,28678,28681],{"className":28659},[175],[120,28661,1294],{"className":28662},[175],[120,28664],{"className":28665,"style":1352},[398],[120,28667,669],{"className":28668},[1356],[120,28670],{"className":28671,"style":1352},[398],[120,28673,146],{"className":28674},[181],[120,28676,669],{"className":28677},[175],[120,28679,1294],{"className":28680},[175],[120,28682,152],{"className":28683},[188],[120,28685,28686,28689],{"style":1148},[120,28687],{"className":28688,"style":1133},[743],[120,28690],{"className":28691,"style":1156},[1155],[120,28693,28694,28697],{"style":1983},[120,28695],{"className":28696,"style":1133},[743],[120,28698,28700,28703,28706,28709,28712,28715,28718,28721,28724,28727,28730,28733],{"className":28699},[175],[120,28701,5230],{"className":28702},[879],[120,28704,146],{"className":28705},[181],[120,28707,28449],{"className":28708},[175],[120,28710,152],{"className":28711},[188],[120,28713],{"className":28714,"style":1352},[398],[120,28716,669],{"className":28717},[1356],[120,28719],{"className":28720,"style":1352},[398],[120,28722,13288],{"className":28723,"style":13717},[175,176],[120,28725,9521],{"className":28726},[175,176],[120,28728,146],{"className":28729},[181],[120,28731,28462],{"className":28732},[175],[120,28734,152],{"className":28735},[188],[120,28737,762],{"className":28738},[761],[120,28740,28742],{"className":28741},[731],[120,28743,28745],{"className":28744,"style":2043},[735],[120,28746],{},[120,28748],{"className":28749},[188,1113],[120,28751,28753,28756,28759,28833,28836,28839,28842],{"className":28752},[175],[120,28754,358],{"className":28755},[403],[120,28757],{"className":28758,"style":399},[398],[120,28760,28762,28765,28830],{"className":28761},[175],[120,28763],{"className":28764},[181,1113],[120,28766,28768],{"className":28767},[1043],[120,28769,28771,28822],{"className":28770},[726,727],[120,28772,28774,28819],{"className":28773},[731],[120,28775,28777,28788,28796],{"className":28776,"style":5045},[735],[120,28778,28779,28782],{"style":1796},[120,28780],{"className":28781,"style":1133},[743],[120,28783,28785],{"className":28784},[175],[120,28786,9849],{"className":28787},[175],[120,28789,28790,28793],{"style":1148},[120,28791],{"className":28792,"style":1133},[743],[120,28794],{"className":28795,"style":1156},[1155],[120,28797,28798,28801],{"style":1983},[120,28799],{"className":28800,"style":1133},[743],[120,28802,28804,28807,28810,28813,28816],{"className":28803},[175],[120,28805,28489],{"className":28806},[175],[120,28808],{"className":28809,"style":1352},[398],[120,28811,669],{"className":28812},[1356],[120,28814],{"className":28815,"style":1352},[398],[120,28817,28494],{"className":28818},[175],[120,28820,762],{"className":28821},[761],[120,28823,28825],{"className":28824},[731],[120,28826,28828],{"className":28827,"style":1919},[735],[120,28829],{},[120,28831],{"className":28832},[188,1113],[120,28834],{"className":28835,"style":399},[398],[120,28837,358],{"className":28838},[403],[120,28840],{"className":28841,"style":399},[398],[120,28843,28501],{"className":28844},[175],[3590,28846,28847],{"id":28847},"秩回归",[21,28849,28850],{},"秩回归通过对观测数据拟合直线来估计分布参数，其目标是使观测值与拟合直线预测值之间的平方误差之和最小。",[28852,28853,28855],"h6",{"id":28854},"y-方向秩回归","Y 方向秩回归",[21,28857,28858],{},"RRY（Rank Regression on Y）拟合线使各数据点与回归线之间 Y 方向的误差最小。当需要根据给定概率预测时间（例如在不可靠度为 90% 时预测失效时间）时，通常使用 RRY。",[62,28860],{"src":28861,"alt":28855,"width":28862},"/media/image37.png",250,[21,28864,28865],{},"使 Y 方向误差平均化",[21,28867,28868,28869,29258],{},"给定成对数据点 ",[120,28870,28872,28948],{"className":28871},[123],[120,28873,28875],{"className":28874},[127],[129,28876,28877],{"xmlns":131},[133,28878,28879,28945],{},[136,28880,28881,28883,28889,28891,28898,28900,28902,28904,28910,28912,28918,28920,28922,28925,28927,28929,28935,28937,28943],{},[143,28882,146],{"stretchy":145},[629,28884,28885,28887],{},[139,28886,9546],{},[360,28888,1294],{},[143,28890,5577],{"separator":162},[629,28892,28893,28896],{},[139,28894,28895],{},"y",[360,28897,1294],{},[143,28899,152],{"stretchy":145},[143,28901,5577],{"separator":162},[143,28903,146],{"stretchy":145},[629,28905,28906,28908],{},[139,28907,9546],{},[360,28909,9849],{},[143,28911,5577],{"separator":162},[629,28913,28914,28916],{},[139,28915,28895],{},[360,28917,9849],{},[143,28919,152],{"stretchy":145},[143,28921,5577],{"separator":162},[143,28923,28924],{},"…",[143,28926,5577],{"separator":162},[143,28928,146],{"stretchy":145},[629,28930,28931,28933],{},[139,28932,9546],{},[139,28934,9521],{},[143,28936,5577],{"separator":162},[629,28938,28939,28941],{},[139,28940,28895],{},[139,28942,9521],{},[143,28944,152],{"stretchy":145},[154,28946,28947],{"encoding":156},"(x_1,y_1),(x_2,y_2),\\ldots,(x_n,y_n)",[120,28949,28951],{"className":28950,"ariaHidden":162},[161],[120,28952,28954,28957,28960,29000,29003,29006,29046,29049,29052,29055,29058,29098,29101,29104,29144,29147,29150,29153,29156,29159,29162,29165,29168,29209,29212,29215,29255],{"className":28953},[166],[120,28955],{"className":28956,"style":171},[170],[120,28958,146],{"className":28959},[181],[120,28961,28963,28966],{"className":28962},[175],[120,28964,9546],{"className":28965},[175,176],[120,28967,28969],{"className":28968},[722],[120,28970,28972,28992],{"className":28971},[726,727],[120,28973,28975,28989],{"className":28974},[731],[120,28976,28978],{"className":28977,"style":736},[735],[120,28979,28980,28983],{"style":739},[120,28981],{"className":28982,"style":744},[743],[120,28984,28986],{"className":28985},[748,749,750,751],[120,28987,1294],{"className":28988},[175,751],[120,28990,762],{"className":28991},[761],[120,28993,28995],{"className":28994},[731],[120,28996,28998],{"className":28997,"style":769},[735],[120,28999],{},[120,29001,5577],{"className":29002},[5661],[120,29004],{"className":29005,"style":993},[398],[120,29007,29009,29012],{"className":29008},[175],[120,29010,28895],{"className":29011,"style":5677},[175,176],[120,29013,29015],{"className":29014},[722],[120,29016,29018,29038],{"className":29017},[726,727],[120,29019,29021,29035],{"className":29020},[731],[120,29022,29024],{"className":29023,"style":736},[735],[120,29025,29026,29029],{"style":19903},[120,29027],{"className":29028,"style":744},[743],[120,29030,29032],{"className":29031},[748,749,750,751],[120,29033,1294],{"className":29034},[175,751],[120,29036,762],{"className":29037},[761],[120,29039,29041],{"className":29040},[731],[120,29042,29044],{"className":29043,"style":769},[735],[120,29045],{},[120,29047,152],{"className":29048},[188],[120,29050,5577],{"className":29051},[5661],[120,29053],{"className":29054,"style":993},[398],[120,29056,146],{"className":29057},[181],[120,29059,29061,29064],{"className":29060},[175],[120,29062,9546],{"className":29063},[175,176],[120,29065,29067],{"className":29066},[722],[120,29068,29070,29090],{"className":29069},[726,727],[120,29071,29073,29087],{"className":29072},[731],[120,29074,29076],{"className":29075,"style":736},[735],[120,29077,29078,29081],{"style":739},[120,29079],{"className":29080,"style":744},[743],[120,29082,29084],{"className":29083},[748,749,750,751],[120,29085,9849],{"className":29086},[175,751],[120,29088,762],{"className":29089},[761],[120,29091,29093],{"className":29092},[731],[120,29094,29096],{"className":29095,"style":769},[735],[120,29097],{},[120,29099,5577],{"className":29100},[5661],[120,29102],{"className":29103,"style":993},[398],[120,29105,29107,29110],{"className":29106},[175],[120,29108,28895],{"className":29109,"style":5677},[175,176],[120,29111,29113],{"className":29112},[722],[120,29114,29116,29136],{"className":29115},[726,727],[120,29117,29119,29133],{"className":29118},[731],[120,29120,29122],{"className":29121,"style":736},[735],[120,29123,29124,29127],{"style":19903},[120,29125],{"className":29126,"style":744},[743],[120,29128,29130],{"className":29129},[748,749,750,751],[120,29131,9849],{"className":29132},[175,751],[120,29134,762],{"className":29135},[761],[120,29137,29139],{"className":29138},[731],[120,29140,29142],{"className":29141,"style":769},[735],[120,29143],{},[120,29145,152],{"className":29146},[188],[120,29148,5577],{"className":29149},[5661],[120,29151],{"className":29152,"style":993},[398],[120,29154,28924],{"className":29155},[2781],[120,29157],{"className":29158,"style":993},[398],[120,29160,5577],{"className":29161},[5661],[120,29163],{"className":29164,"style":993},[398],[120,29166,146],{"className":29167},[181],[120,29169,29171,29174],{"className":29170},[175],[120,29172,9546],{"className":29173},[175,176],[120,29175,29177],{"className":29176},[722],[120,29178,29180,29201],{"className":29179},[726,727],[120,29181,29183,29198],{"className":29182},[731],[120,29184,29187],{"className":29185,"style":29186},[735],"height:0.1514em;",[120,29188,29189,29192],{"style":739},[120,29190],{"className":29191,"style":744},[743],[120,29193,29195],{"className":29194},[748,749,750,751],[120,29196,9521],{"className":29197},[175,176,751],[120,29199,762],{"className":29200},[761],[120,29202,29204],{"className":29203},[731],[120,29205,29207],{"className":29206,"style":769},[735],[120,29208],{},[120,29210,5577],{"className":29211},[5661],[120,29213],{"className":29214,"style":993},[398],[120,29216,29218,29221],{"className":29217},[175],[120,29219,28895],{"className":29220,"style":5677},[175,176],[120,29222,29224],{"className":29223},[722],[120,29225,29227,29247],{"className":29226},[726,727],[120,29228,29230,29244],{"className":29229},[731],[120,29231,29233],{"className":29232,"style":29186},[735],[120,29234,29235,29238],{"style":19903},[120,29236],{"className":29237,"style":744},[743],[120,29239,29241],{"className":29240},[748,749,750,751],[120,29242,9521],{"className":29243},[175,176,751],[120,29245,762],{"className":29246},[761],[120,29248,29250],{"className":29249},[731],[120,29251,29253],{"className":29252,"style":769},[735],[120,29254],{},[120,29256,152],{"className":29257},[188],"，并假定 X 值准确已知：",[21,29260,29261],{},[120,29262,29264,29314],{"className":29263},[123],[120,29265,29267],{"className":29266},[127],[129,29268,29269],{"xmlns":131},[133,29270,29271,29311],{},[136,29272,29273,29279,29281,29288,29290,29297,29303,29305],{},[629,29274,29275,29277],{},[139,29276,28895],{},[139,29278,19796],{},[143,29280,358],{},[3621,29282,29283,29286],{},[139,29284,29285],{},"a",[143,29287,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,29289,2646],{},[3621,29291,29292,29295],{},[139,29293,29294],{},"b",[143,29296,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[629,29298,29299,29301],{},[139,29300,9546],{},[139,29302,19796],{},[143,29304,2646],{},[629,29306,29307,29309],{},[139,29308,3629],{},[139,29310,19796],{},[154,29312,29313],{"encoding":156},"y_{i} = a' + b'x_{i} + e_{i}",[120,29315,29317,29375,29423,29514],{"className":29316,"ariaHidden":162},[161],[120,29318,29320,29323,29366,29369,29372],{"className":29319},[166],[120,29321],{"className":29322,"style":6115},[170],[120,29324,29326,29329],{"className":29325},[175],[120,29327,28895],{"className":29328,"style":5677},[175,176],[120,29330,29332],{"className":29331},[722],[120,29333,29335,29358],{"className":29334},[726,727],[120,29336,29338,29355],{"className":29337},[731],[120,29339,29341],{"className":29340,"style":19828},[735],[120,29342,29343,29346],{"style":19903},[120,29344],{"className":29345,"style":744},[743],[120,29347,29349],{"className":29348},[748,749,750,751],[120,29350,29352],{"className":29351},[175,751],[120,29353,19796],{"className":29354},[175,176,751],[120,29356,762],{"className":29357},[761],[120,29359,29361],{"className":29360},[731],[120,29362,29364],{"className":29363,"style":769},[735],[120,29365],{},[120,29367],{"className":29368,"style":399},[398],[120,29370,358],{"className":29371},[403],[120,29373],{"className":29374,"style":399},[398],[120,29376,29378,29382,29414,29417,29420],{"className":29377},[166],[120,29379],{"className":29380,"style":29381},[170],"height:0.8352em;vertical-align:-0.0833em;",[120,29383,29385,29388],{"className":29384},[175],[120,29386,29285],{"className":29387},[175,176],[120,29389,29391],{"className":29390},[722],[120,29392,29394],{"className":29393},[726],[120,29395,29397],{"className":29396},[731],[120,29398,29400],{"className":29399,"style":13877},[735],[120,29401,29402,29405],{"style":9686},[120,29403],{"className":29404,"style":744},[743],[120,29406,29408],{"className":29407},[748,749,750,751],[120,29409,29411],{"className":29410},[175,751],[120,29412,13253],{"className":29413},[175,751],[120,29415],{"className":29416,"style":1352},[398],[120,29418,2646],{"className":29419},[1356],[120,29421],{"className":29422,"style":1352},[398],[120,29424,29426,29430,29462,29505,29508,29511],{"className":29425},[166],[120,29427],{"className":29428,"style":29429},[170],"height:0.9019em;vertical-align:-0.15em;",[120,29431,29433,29436],{"className":29432},[175],[120,29434,29294],{"className":29435},[175,176],[120,29437,29439],{"className":29438},[722],[120,29440,29442],{"className":29441},[726],[120,29443,29445],{"className":29444},[731],[120,29446,29448],{"className":29447,"style":13877},[735],[120,29449,29450,29453],{"style":9686},[120,29451],{"className":29452,"style":744},[743],[120,29454,29456],{"className":29455},[748,749,750,751],[120,29457,29459],{"className":29458},[175,751],[120,29460,13253],{"className":29461},[175,751],[120,29463,29465,29468],{"className":29464},[175],[120,29466,9546],{"className":29467},[175,176],[120,29469,29471],{"className":29470},[722],[120,29472,29474,29497],{"className":29473},[726,727],[120,29475,29477,29494],{"className":29476},[731],[120,29478,29480],{"className":29479,"style":19828},[735],[120,29481,29482,29485],{"style":739},[120,29483],{"className":29484,"style":744},[743],[120,29486,29488],{"className":29487},[748,749,750,751],[120,29489,29491],{"className":29490},[175,751],[120,29492,19796],{"className":29493},[175,176,751],[120,29495,762],{"className":29496},[761],[120,29498,29500],{"className":29499},[731],[120,29501,29503],{"className":29502,"style":769},[735],[120,29504],{},[120,29506],{"className":29507,"style":1352},[398],[120,29509,2646],{"className":29510},[1356],[120,29512],{"className":29513,"style":1352},[398],[120,29515,29517,29521],{"className":29516},[166],[120,29518],{"className":29519,"style":29520},[170],"height:0.5806em;vertical-align:-0.15em;",[120,29522,29524,29527],{"className":29523},[175],[120,29525,3629],{"className":29526},[175,176],[120,29528,29530],{"className":29529},[722],[120,29531,29533,29556],{"className":29532},[726,727],[120,29534,29536,29553],{"className":29535},[731],[120,29537,29539],{"className":29538,"style":19828},[735],[120,29540,29541,29544],{"style":739},[120,29542],{"className":29543,"style":744},[743],[120,29545,29547],{"className":29546},[748,749,750,751],[120,29548,29550],{"className":29549},[175,751],[120,29551,19796],{"className":29552},[175,176,751],[120,29554,762],{"className":29555},[761],[120,29557,29559],{"className":29558},[731],[120,29560,29562],{"className":29561,"style":769},[735],[120,29563],{},[21,29565,9500],{},[21,29567,29568],{},[120,29569,29571,29691],{"className":29570},[123],[120,29572,29574],{"className":29573},[127],[129,29575,29576],{"xmlns":131},[133,29577,29578,29688],{},[136,29579,29580,29586,29588],{},[3621,29581,29582,29584],{},[139,29583,29294],{},[143,29585,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,29587,358],{},[1043,29589,29590,29648],{},[136,29591,29592,29606],{},[660,29593,29594,29596,29604],{},[143,29595,19946],{},[136,29597,29598,29600,29602],{},[139,29599,19796],{},[143,29601,358],{},[360,29603,1294],{},[139,29605,9521],{},[136,29607,29608,29628],{},[136,29609,29610,29612,29618,29620,29626],{},[143,29611,146],{"fence":162},[629,29613,29614,29616],{},[139,29615,28895],{},[139,29617,19796],{},[143,29619,669],{},[3081,29621,29622,29624],{"accent":162},[139,29623,28895],{},[143,29625,3087],{"stretchy":162},[143,29627,152],{"fence":162},[136,29629,29630,29632,29638,29640,29646],{},[143,29631,146],{"fence":162},[629,29633,29634,29636],{},[139,29635,9546],{},[139,29637,19796],{},[143,29639,669],{},[3081,29641,29642,29644],{"accent":162},[139,29643,9546],{},[143,29645,3087],{"stretchy":162},[143,29647,152],{"fence":162},[136,29649,29650,29664],{},[660,29651,29652,29654,29662],{},[143,29653,19946],{},[136,29655,29656,29658,29660],{},[139,29657,19796],{},[143,29659,358],{},[360,29661,1294],{},[139,29663,9521],{},[3621,29665,29666,29686],{},[136,29667,29668,29670,29676,29678,29684],{},[143,29669,146],{"fence":162},[629,29671,29672,29674],{},[139,29673,9546],{},[139,29675,19796],{},[143,29677,669],{},[3081,29679,29680,29682],{"accent":162},[139,29681,9546],{},[143,29683,3087],{"stretchy":162},[143,29685,152],{"fence":162},[360,29687,9849],{},[154,29689,29690],{"encoding":156},"b' = \\frac{\\sum_{i = 1}^{n}{\\left( y_{i} - \\overline{y} \\right)\\left( x_{i} - \\overline{x} \\right)}}{\\sum_{i = 1}^{n}\\left( x_{i} - \\overline{x} \\right)^{2}}",[120,29692,29694,29741],{"className":29693,"ariaHidden":162},[161],[120,29695,29697,29700,29732,29735,29738],{"className":29696},[166],[120,29698],{"className":29699,"style":13877},[170],[120,29701,29703,29706],{"className":29702},[175],[120,29704,29294],{"className":29705},[175,176],[120,29707,29709],{"className":29708},[722],[120,29710,29712],{"className":29711},[726],[120,29713,29715],{"className":29714},[731],[120,29716,29718],{"className":29717,"style":13877},[735],[120,29719,29720,29723],{"style":9686},[120,29721],{"className":29722,"style":744},[743],[120,29724,29726],{"className":29725},[748,749,750,751],[120,29727,29729],{"className":29728},[175,751],[120,29730,13253],{"className":29731},[175,751],[120,29733],{"className":29734,"style":399},[398],[120,29736,358],{"className":29737},[403],[120,29739],{"className":29740,"style":399},[398],[120,29742,29744,29748],{"className":29743},[166],[120,29745],{"className":29746,"style":29747},[170],"height:1.6952em;vertical-align:-0.6352em;",[120,29749,29751,29754,30271],{"className":29750},[175],[120,29752],{"className":29753},[181,1113],[120,29755,29757],{"className":29756},[1043],[120,29758,29760,30262],{"className":29759},[726,727],[120,29761,29763,30259],{"className":29762},[731],[120,29764,29767,29971,29979],{"className":29765,"style":29766},[735],"height:1.06em;",[120,29768,29770,29773],{"style":29769},"top:-2.5898em;",[120,29771],{"className":29772,"style":1133},[743],[120,29774,29776],{"className":29775},[748,749,750,751],[120,29777,29779,29846],{"className":29778},[175,751],[120,29780,29782,29785],{"className":29781},[879,751],[120,29783,19946],{"className":29784,"style":20037},[879,883,884,751],[120,29786,29788],{"className":29787},[722],[120,29789,29791,29837],{"className":29790},[726,727],[120,29792,29794,29834],{"className":29793},[731],[120,29795,29798,29819],{"className":29796,"style":29797},[735],"height:0.7047em;",[120,29799,29801,29804],{"style":29800},"top:-2.1786em;margin-left:0em;margin-right:0.0714em;",[120,29802],{"className":29803,"style":954},[743],[120,29805,29807],{"className":29806},[748,958,959,751],[120,29808,29810,29813,29816],{"className":29809},[175,751],[120,29811,19796],{"className":29812},[175,176,751],[120,29814,358],{"className":29815},[403,751],[120,29817,1294],{"className":29818},[175,751],[120,29820,29822,29825],{"style":29821},"top:-2.8971em;margin-right:0.0714em;",[120,29823],{"className":29824,"style":954},[743],[120,29826,29828],{"className":29827},[748,958,959,751],[120,29829,29831],{"className":29830},[175,751],[120,29832,9521],{"className":29833},[175,176,751],[120,29835,762],{"className":29836},[761],[120,29838,29840],{"className":29839},[731],[120,29841,29844],{"className":29842,"style":29843},[735],"height:0.3214em;",[120,29845],{},[120,29847,29849,29944],{"className":29848},[2781,751],[120,29850,29852,29858,29902,29905,29938],{"className":29851},[2781,751],[120,29853,29855],{"className":29854,"style":2786},[181,751,2785],[120,29856,146],{"className":29857},[751],[120,29859,29861,29864],{"className":29860},[175,751],[120,29862,9546],{"className":29863},[175,176,751],[120,29865,29867],{"className":29866},[722],[120,29868,29870,29894],{"className":29869},[726,727],[120,29871,29873,29891],{"className":29872},[731],[120,29874,29877],{"className":29875,"style":29876},[735],"height:0.3281em;",[120,29878,29879,29882],{"style":950},[120,29880],{"className":29881,"style":954},[743],[120,29883,29885],{"className":29884},[748,958,959,751],[120,29886,29888],{"className":29887},[175,751],[120,29889,19796],{"className":29890},[175,176,751],[120,29892,762],{"className":29893},[761],[120,29895,29897],{"className":29896},[731],[120,29898,29900],{"className":29899,"style":975},[735],[120,29901],{},[120,29903,669],{"className":29904},[1356,751],[120,29906,29908],{"className":29907},[175,3104,751],[120,29909,29911],{"className":29910},[726],[120,29912,29914],{"className":29913},[731],[120,29915,29918,29929],{"className":29916,"style":29917},[735],"height:0.6756em;",[120,29919,29920,29923],{"style":3116},[120,29921],{"className":29922,"style":1133},[743],[120,29924,29926],{"className":29925},[175,751],[120,29927,9546],{"className":29928},[175,176,751],[120,29930,29932,29935],{"style":29931},"top:-3.5776em;",[120,29933],{"className":29934,"style":1133},[743],[120,29936],{"className":29937,"style":5989},[3135,751],[120,29939,29941],{"className":29940,"style":2786},[188,751,2785],[120,29942,152],{"className":29943},[751],[120,29945,29947],{"className":29946},[722],[120,29948,29950],{"className":29949},[726],[120,29951,29953],{"className":29952},[731],[120,29954,29957],{"className":29955,"style":29956},[735],"height:0.8575em;",[120,29958,29959,29962],{"style":29821},[120,29960],{"className":29961,"style":954},[743],[120,29963,29965],{"className":29964},[748,958,959,751],[120,29966,29968],{"className":29967},[175,751],[120,29969,9849],{"className":29970},[175,751],[120,29972,29973,29976],{"style":1148},[120,29974],{"className":29975,"style":1133},[743],[120,29977],{"className":29978,"style":1156},[1155],[120,29980,29982,29985],{"style":29981},"top:-3.535em;",[120,29983],{"className":29984,"style":1133},[743],[120,29986,29988],{"className":29987},[748,749,750,751],[120,29989,29991,30055,30059],{"className":29990},[175,751],[120,29992,29994,29997],{"className":29993},[879,751],[120,29995,19946],{"className":29996,"style":20037},[879,883,884,751],[120,29998,30000],{"className":29999},[722],[120,30001,30003,30047],{"className":30002},[726,727],[120,30004,30006,30044],{"className":30005},[731],[120,30007,30010,30030],{"className":30008,"style":30009},[735],"height:0.7385em;",[120,30011,30012,30015],{"style":29800},[120,30013],{"className":30014,"style":954},[743],[120,30016,30018],{"className":30017},[748,958,959,751],[120,30019,30021,30024,30027],{"className":30020},[175,751],[120,30022,19796],{"className":30023},[175,176,751],[120,30025,358],{"className":30026},[403,751],[120,30028,1294],{"className":30029},[175,751],[120,30031,30032,30035],{"style":15313},[120,30033],{"className":30034,"style":954},[743],[120,30036,30038],{"className":30037},[748,958,959,751],[120,30039,30041],{"className":30040},[175,751],[120,30042,9521],{"className":30043},[175,176,751],[120,30045,762],{"className":30046},[761],[120,30048,30050],{"className":30049},[731],[120,30051,30053],{"className":30052,"style":29843},[735],[120,30054],{},[120,30056],{"className":30057,"style":30058},[398,751],"margin-right:0.1952em;",[120,30060,30062,30167],{"className":30061},[175,751],[120,30063,30065,30071,30115,30118,30161],{"className":30064},[2781,751],[120,30066,30068],{"className":30067,"style":2786},[181,751,2785],[120,30069,146],{"className":30070},[751],[120,30072,30074,30077],{"className":30073},[175,751],[120,30075,28895],{"className":30076,"style":5677},[175,176,751],[120,30078,30080],{"className":30079},[722],[120,30081,30083,30107],{"className":30082},[726,727],[120,30084,30086,30104],{"className":30085},[731],[120,30087,30089],{"className":30088,"style":29876},[735],[120,30090,30092,30095],{"style":30091},"top:-2.357em;margin-left:-0.0359em;margin-right:0.0714em;",[120,30093],{"className":30094,"style":954},[743],[120,30096,30098],{"className":30097},[748,958,959,751],[120,30099,30101],{"className":30100},[175,751],[120,30102,19796],{"className":30103},[175,176,751],[120,30105,762],{"className":30106},[761],[120,30108,30110],{"className":30109},[731],[120,30111,30113],{"className":30112,"style":975},[735],[120,30114],{},[120,30116,669],{"className":30117},[1356,751],[120,30119,30121],{"className":30120},[175,3104,751],[120,30122,30124,30152],{"className":30123},[726,727],[120,30125,30127,30149],{"className":30126},[731],[120,30128,30130,30141],{"className":30129,"style":29917},[735],[120,30131,30132,30135],{"style":3116},[120,30133],{"className":30134,"style":1133},[743],[120,30136,30138],{"className":30137},[175,751],[120,30139,28895],{"className":30140,"style":5677},[175,176,751],[120,30142,30143,30146],{"style":29931},[120,30144],{"className":30145,"style":1133},[743],[120,30147],{"className":30148,"style":5989},[3135,751],[120,30150,762],{"className":30151},[761],[120,30153,30155],{"className":30154},[731],[120,30156,30159],{"className":30157,"style":30158},[735],"height:0.1944em;",[120,30160],{},[120,30162,30164],{"className":30163,"style":2786},[188,751,2785],[120,30165,152],{"className":30166},[751],[120,30168,30170,30176,30219,30222,30253],{"className":30169},[2781,751],[120,30171,30173],{"className":30172,"style":2786},[181,751,2785],[120,30174,146],{"className":30175},[751],[120,30177,30179,30182],{"className":30178},[175,751],[120,30180,9546],{"className":30181},[175,176,751],[120,30183,30185],{"className":30184},[722],[120,30186,30188,30211],{"className":30187},[726,727],[120,30189,30191,30208],{"className":30190},[731],[120,30192,30194],{"className":30193,"style":29876},[735],[120,30195,30196,30199],{"style":950},[120,30197],{"className":30198,"style":954},[743],[120,30200,30202],{"className":30201},[748,958,959,751],[120,30203,30205],{"className":30204},[175,751],[120,30206,19796],{"className":30207},[175,176,751],[120,30209,762],{"className":30210},[761],[120,30212,30214],{"className":30213},[731],[120,30215,30217],{"className":30216,"style":975},[735],[120,30218],{},[120,30220,669],{"className":30221},[1356,751],[120,30223,30225],{"className":30224},[175,3104,751],[120,30226,30228],{"className":30227},[726],[120,30229,30231],{"className":30230},[731],[120,30232,30234,30245],{"className":30233,"style":29917},[735],[120,30235,30236,30239],{"style":3116},[120,30237],{"className":30238,"style":1133},[743],[120,30240,30242],{"className":30241},[175,751],[120,30243,9546],{"className":30244},[175,176,751],[120,30246,30247,30250],{"style":29931},[120,30248],{"className":30249,"style":1133},[743],[120,30251],{"className":30252,"style":5989},[3135,751],[120,30254,30256],{"className":30255,"style":2786},[188,751,2785],[120,30257,152],{"className":30258},[751],[120,30260,762],{"className":30261},[761],[120,30263,30265],{"className":30264},[731],[120,30266,30269],{"className":30267,"style":30268},[735],"height:0.6352em;",[120,30270],{},[120,30272],{"className":30273},[188,1113],[21,30275,30276],{},[120,30277,30279,30325],{"className":30278},[123],[120,30280,30282],{"className":30281},[127],[129,30283,30284],{"xmlns":131},[133,30285,30286,30322],{},[136,30287,30288,30294,30296,30302,30304],{},[3621,30289,30290,30292],{},[139,30291,29285],{},[143,30293,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,30295,358],{},[3081,30297,30298,30300],{"accent":162},[139,30299,28895],{},[143,30301,3087],{"stretchy":162},[143,30303,669],{},[3621,30305,30306,30308],{},[139,30307,29294],{},[136,30309,30310,30316],{},[3621,30311,30312,30314],{},[136,30313],{},[143,30315,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[3081,30317,30318,30320],{"accent":162},[139,30319,9546],{},[143,30321,3087],{"stretchy":162},[154,30323,30324],{"encoding":156},"a' = \\overline{y} - b^{'\\overline{x}}",[120,30326,30328,30375,30435],{"className":30327,"ariaHidden":162},[161],[120,30329,30331,30334,30366,30369,30372],{"className":30330},[166],[120,30332],{"className":30333,"style":13877},[170],[120,30335,30337,30340],{"className":30336},[175],[120,30338,29285],{"className":30339},[175,176],[120,30341,30343],{"className":30342},[722],[120,30344,30346],{"className":30345},[726],[120,30347,30349],{"className":30348},[731],[120,30350,30352],{"className":30351,"style":13877},[735],[120,30353,30354,30357],{"style":9686},[120,30355],{"className":30356,"style":744},[743],[120,30358,30360],{"className":30359},[748,749,750,751],[120,30361,30363],{"className":30362},[175,751],[120,30364,13253],{"className":30365},[175,751],[120,30367],{"className":30368,"style":399},[398],[120,30370,358],{"className":30371},[403],[120,30373],{"className":30374,"style":399},[398],[120,30376,30378,30382,30426,30429,30432],{"className":30377},[166],[120,30379],{"className":30380,"style":30381},[170],"height:0.825em;vertical-align:-0.1944em;",[120,30383,30385],{"className":30384},[175,3104],[120,30386,30388,30418],{"className":30387},[726,727],[120,30389,30391,30415],{"className":30390},[731],[120,30392,30395,30406],{"className":30393,"style":30394},[735],"height:0.6306em;",[120,30396,30397,30400],{"style":3116},[120,30398],{"className":30399,"style":1133},[743],[120,30401,30403],{"className":30402},[175],[120,30404,28895],{"className":30405,"style":5677},[175,176],[120,30407,30409,30412],{"style":30408},"top:-3.5506em;",[120,30410],{"className":30411,"style":1133},[743],[120,30413],{"className":30414,"style":1156},[3135],[120,30416,762],{"className":30417},[761],[120,30419,30421],{"className":30420},[731],[120,30422,30424],{"className":30423,"style":30158},[735],[120,30425],{},[120,30427],{"className":30428,"style":1352},[398],[120,30430,669],{"className":30431},[1356],[120,30433],{"className":30434,"style":1352},[398],[120,30436,30438,30442],{"className":30437},[166],[120,30439],{"className":30440,"style":30441},[170],"height:0.9425em;",[120,30443,30445,30448],{"className":30444},[175],[120,30446,29294],{"className":30447},[175,176],[120,30449,30451],{"className":30450},[722],[120,30452,30454],{"className":30453},[726],[120,30455,30457],{"className":30456},[731],[120,30458,30460],{"className":30459,"style":30441},[735],[120,30461,30462,30465],{"style":18787},[120,30463],{"className":30464,"style":1133},[743],[120,30466,30468],{"className":30467},[748,749,750,751],[120,30469,30471,30502],{"className":30470},[175,751],[120,30472,30474,30476],{"className":30473},[175,751],[120,30475],{},[120,30477,30479],{"className":30478},[722],[120,30480,30482],{"className":30481},[726],[120,30483,30485],{"className":30484},[731],[120,30486,30488],{"className":30487,"style":15310},[735],[120,30489,30490,30493],{"style":15313},[120,30491],{"className":30492,"style":954},[743],[120,30494,30496],{"className":30495},[748,958,959,751],[120,30497,30499],{"className":30498},[175,751],[120,30500,13253],{"className":30501},[175,751],[120,30503,30505],{"className":30504},[175,3104,751],[120,30506,30508],{"className":30507},[726],[120,30509,30511],{"className":30510},[731],[120,30512,30514,30525],{"className":30513,"style":29917},[735],[120,30515,30516,30519],{"style":3116},[120,30517],{"className":30518,"style":1133},[743],[120,30520,30522],{"className":30521},[175,751],[120,30523,9546],{"className":30524},[175,176,751],[120,30526,30527,30530],{"style":29931},[120,30528],{"className":30529,"style":1133},[743],[120,30531],{"className":30532,"style":5989},[3135,751],[21,30534,30535],{},[120,30536,30538,30584],{"className":30537},[123],[120,30539,30541],{"className":30540},[127],[129,30542,30543],{"xmlns":131},[133,30544,30545,30581],{},[136,30546,30547,30553,30555,30561,30575],{},[3081,30548,30549,30551],{"accent":162},[139,30550,9546],{},[143,30552,3087],{"stretchy":162},[143,30554,358],{},[1043,30556,30557,30559],{},[360,30558,1294],{},[139,30560,9521],{},[660,30562,30563,30565,30573],{},[143,30564,19946],{},[136,30566,30567,30569,30571],{},[139,30568,19796],{},[143,30570,358],{},[360,30572,1294],{},[139,30574,9521],{},[629,30576,30577,30579],{},[139,30578,9546],{},[139,30580,19796],{},[154,30582,30583],{"encoding":156},"\\overline{x} = \\frac{1}{n}\\sum_{i = 1}^{n}x_{i}",[120,30585,30587,30633],{"className":30586,"ariaHidden":162},[161],[120,30588,30590,30593,30624,30627,30630],{"className":30589},[166],[120,30591],{"className":30592,"style":30394},[170],[120,30594,30596],{"className":30595},[175,3104],[120,30597,30599],{"className":30598},[726],[120,30600,30602],{"className":30601},[731],[120,30603,30605,30616],{"className":30604,"style":30394},[735],[120,30606,30607,30610],{"style":3116},[120,30608],{"className":30609,"style":1133},[743],[120,30611,30613],{"className":30612},[175],[120,30614,9546],{"className":30615},[175,176],[120,30617,30618,30621],{"style":30408},[120,30619],{"className":30620,"style":1133},[743],[120,30622],{"className":30623,"style":1156},[3135],[120,30625],{"className":30626,"style":399},[398],[120,30628,358],{"className":30629},[403],[120,30631],{"className":30632,"style":399},[398],[120,30634,30636,30639,30707,30710,30775,30778],{"className":30635},[166],[120,30637],{"className":30638,"style":26947},[170],[120,30640,30642,30645,30704],{"className":30641},[175],[120,30643],{"className":30644},[181,1113],[120,30646,30648],{"className":30647},[1043],[120,30649,30651,30696],{"className":30650},[726,727],[120,30652,30654,30693],{"className":30653},[731],[120,30655,30657,30671,30679],{"className":30656,"style":9429},[735],[120,30658,30659,30662],{"style":1129},[120,30660],{"className":30661,"style":1133},[743],[120,30663,30665],{"className":30664},[748,749,750,751],[120,30666,30668],{"className":30667},[175,751],[120,30669,9521],{"className":30670},[175,176,751],[120,30672,30673,30676],{"style":1148},[120,30674],{"className":30675,"style":1133},[743],[120,30677],{"className":30678,"style":1156},[1155],[120,30680,30681,30684],{"style":1879},[120,30682],{"className":30683,"style":1133},[743],[120,30685,30687],{"className":30686},[748,749,750,751],[120,30688,30690],{"className":30689},[175,751],[120,30691,1294],{"className":30692},[175,751],[120,30694,762],{"className":30695},[761],[120,30697,30699],{"className":30698},[731],[120,30700,30702],{"className":30701,"style":1197},[735],[120,30703],{},[120,30705],{"className":30706},[188,1113],[120,30708],{"className":30709,"style":993},[398],[120,30711,30713,30716],{"className":30712},[879],[120,30714,19946],{"className":30715,"style":20037},[879,883,884],[120,30717,30719],{"className":30718},[722],[120,30720,30722,30766],{"className":30721},[726,727],[120,30723,30725,30763],{"className":30724},[731],[120,30726,30729,30749],{"className":30727,"style":30728},[735],"height:0.8043em;",[120,30730,30731,30734],{"style":20053},[120,30732],{"className":30733,"style":744},[743],[120,30735,30737],{"className":30736},[748,749,750,751],[120,30738,30740,30743,30746],{"className":30739},[175,751],[120,30741,19796],{"className":30742},[175,176,751],[120,30744,358],{"className":30745},[403,751],[120,30747,1294],{"className":30748},[175,751],[120,30750,30751,30754],{"style":20076},[120,30752],{"className":30753,"style":744},[743],[120,30755,30757],{"className":30756},[748,749,750,751],[120,30758,30760],{"className":30759},[175,751],[120,30761,9521],{"className":30762},[175,176,751],[120,30764,762],{"className":30765},[761],[120,30767,30769],{"className":30768},[731],[120,30770,30773],{"className":30771,"style":30772},[735],"height:0.2997em;",[120,30774],{},[120,30776],{"className":30777,"style":993},[398],[120,30779,30781,30784],{"className":30780},[175],[120,30782,9546],{"className":30783},[175,176],[120,30785,30787],{"className":30786},[722],[120,30788,30790,30813],{"className":30789},[726,727],[120,30791,30793,30810],{"className":30792},[731],[120,30794,30796],{"className":30795,"style":19828},[735],[120,30797,30798,30801],{"style":739},[120,30799],{"className":30800,"style":744},[743],[120,30802,30804],{"className":30803},[748,749,750,751],[120,30805,30807],{"className":30806},[175,751],[120,30808,19796],{"className":30809},[175,176,751],[120,30811,762],{"className":30812},[761],[120,30814,30816],{"className":30815},[731],[120,30817,30819],{"className":30818,"style":769},[735],[120,30820],{},[21,30822,30823],{},[120,30824,30826,30872],{"className":30825},[123],[120,30827,30829],{"className":30828},[127],[129,30830,30831],{"xmlns":131},[133,30832,30833,30869],{},[136,30834,30835,30841,30843,30849,30863],{},[3081,30836,30837,30839],{"accent":162},[139,30838,28895],{},[143,30840,3087],{"stretchy":162},[143,30842,358],{},[1043,30844,30845,30847],{},[360,30846,1294],{},[139,30848,9521],{},[660,30850,30851,30853,30861],{},[143,30852,19946],{},[136,30854,30855,30857,30859],{},[139,30856,19796],{},[143,30858,358],{},[360,30860,1294],{},[139,30862,9521],{},[629,30864,30865,30867],{},[139,30866,28895],{},[139,30868,19796],{},[154,30870,30871],{"encoding":156},"\\overline{y} = \\frac{1}{n}\\sum_{i = 1}^{n}y_{i}",[120,30873,30875,30932],{"className":30874,"ariaHidden":162},[161],[120,30876,30878,30881,30923,30926,30929],{"className":30877},[166],[120,30879],{"className":30880,"style":30381},[170],[120,30882,30884],{"className":30883},[175,3104],[120,30885,30887,30915],{"className":30886},[726,727],[120,30888,30890,30912],{"className":30889},[731],[120,30891,30893,30904],{"className":30892,"style":30394},[735],[120,30894,30895,30898],{"style":3116},[120,30896],{"className":30897,"style":1133},[743],[120,30899,30901],{"className":30900},[175],[120,30902,28895],{"className":30903,"style":5677},[175,176],[120,30905,30906,30909],{"style":30408},[120,30907],{"className":30908,"style":1133},[743],[120,30910],{"className":30911,"style":1156},[3135],[120,30913,762],{"className":30914},[761],[120,30916,30918],{"className":30917},[731],[120,30919,30921],{"className":30920,"style":30158},[735],[120,30922],{},[120,30924],{"className":30925,"style":399},[398],[120,30927,358],{"className":30928},[403],[120,30930],{"className":30931,"style":399},[398],[120,30933,30935,30938,31006,31009,31072,31075],{"className":30934},[166],[120,30936],{"className":30937,"style":26947},[170],[120,30939,30941,30944,31003],{"className":30940},[175],[120,30942],{"className":30943},[181,1113],[120,30945,30947],{"className":30946},[1043],[120,30948,30950,30995],{"className":30949},[726,727],[120,30951,30953,30992],{"className":30952},[731],[120,30954,30956,30970,30978],{"className":30955,"style":9429},[735],[120,30957,30958,30961],{"style":1129},[120,30959],{"className":30960,"style":1133},[743],[120,30962,30964],{"className":30963},[748,749,750,751],[120,30965,30967],{"className":30966},[175,751],[120,30968,9521],{"className":30969},[175,176,751],[120,30971,30972,30975],{"style":1148},[120,30973],{"className":30974,"style":1133},[743],[120,30976],{"className":30977,"style":1156},[1155],[120,30979,30980,30983],{"style":1879},[120,30981],{"className":30982,"style":1133},[743],[120,30984,30986],{"className":30985},[748,749,750,751],[120,30987,30989],{"className":30988},[175,751],[120,30990,1294],{"className":30991},[175,751],[120,30993,762],{"className":30994},[761],[120,30996,30998],{"className":30997},[731],[120,30999,31001],{"className":31000,"style":1197},[735],[120,31002],{},[120,31004],{"className":31005},[188,1113],[120,31007],{"className":31008,"style":993},[398],[120,31010,31012,31015],{"className":31011},[879],[120,31013,19946],{"className":31014,"style":20037},[879,883,884],[120,31016,31018],{"className":31017},[722],[120,31019,31021,31064],{"className":31020},[726,727],[120,31022,31024,31061],{"className":31023},[731],[120,31025,31027,31047],{"className":31026,"style":30728},[735],[120,31028,31029,31032],{"style":20053},[120,31030],{"className":31031,"style":744},[743],[120,31033,31035],{"className":31034},[748,749,750,751],[120,31036,31038,31041,31044],{"className":31037},[175,751],[120,31039,19796],{"className":31040},[175,176,751],[120,31042,358],{"className":31043},[403,751],[120,31045,1294],{"className":31046},[175,751],[120,31048,31049,31052],{"style":20076},[120,31050],{"className":31051,"style":744},[743],[120,31053,31055],{"className":31054},[748,749,750,751],[120,31056,31058],{"className":31057},[175,751],[120,31059,9521],{"className":31060},[175,176,751],[120,31062,762],{"className":31063},[761],[120,31065,31067],{"className":31066},[731],[120,31068,31070],{"className":31069,"style":30772},[735],[120,31071],{},[120,31073],{"className":31074,"style":993},[398],[120,31076,31078,31081],{"className":31077},[175],[120,31079,28895],{"className":31080,"style":5677},[175,176],[120,31082,31084],{"className":31083},[722],[120,31085,31087,31110],{"className":31086},[726,727],[120,31088,31090,31107],{"className":31089},[731],[120,31091,31093],{"className":31092,"style":19828},[735],[120,31094,31095,31098],{"style":19903},[120,31096],{"className":31097,"style":744},[743],[120,31099,31101],{"className":31100},[748,749,750,751],[120,31102,31104],{"className":31103},[175,751],[120,31105,19796],{"className":31106},[175,176,751],[120,31108,762],{"className":31109},[761],[120,31111,31113],{"className":31112},[731],[120,31114,31116],{"className":31115,"style":769},[735],[120,31117],{},[21,31119,31120,31190],{},[120,31121,31123,31141],{"className":31122},[123],[120,31124,31126],{"className":31125},[127],[129,31127,31128],{"xmlns":131},[133,31129,31130,31138],{},[136,31131,31132],{},[629,31133,31134,31136],{},[139,31135,3629],{},[139,31137,19796],{},[154,31139,31140],{"encoding":156},"e_i",[120,31142,31144],{"className":31143,"ariaHidden":162},[161],[120,31145,31147,31150],{"className":31146},[166],[120,31148],{"className":31149,"style":29520},[170],[120,31151,31153,31156],{"className":31152},[175],[120,31154,3629],{"className":31155},[175,176],[120,31157,31159],{"className":31158},[722],[120,31160,31162,31182],{"className":31161},[726,727],[120,31163,31165,31179],{"className":31164},[731],[120,31166,31168],{"className":31167,"style":19828},[735],[120,31169,31170,31173],{"style":739},[120,31171],{"className":31172,"style":744},[743],[120,31174,31176],{"className":31175},[748,749,750,751],[120,31177,19796],{"className":31178},[175,176,751],[120,31180,762],{"className":31181},[761],[120,31183,31185],{"className":31184},[731],[120,31186,31188],{"className":31187,"style":769},[735],[120,31189],{}," 为误差项。",[28852,31192,31194],{"id":31193},"x-方向秩回归","X 方向秩回归",[21,31196,31197],{},"RRX（Rank Regression on X）拟合线使各数据点与回归线之间 X 方向的误差最小。当需要根据给定时间预测概率时，通常使用 RRX。",[62,31199],{"src":31200,"alt":31194,"width":28862},"/media/image38.png",[21,31202,31203],{},"使 X 方向误差平均化",[21,31205,31206],{},"给定成对数据点，并假定 Y 值准确已知，为使 X 方向误差最小，对 X 关于 Y 进行回归：",[21,31208,31209],{},[120,31210,31212,31260],{"className":31211},[123],[120,31213,31215],{"className":31214},[127],[129,31216,31217],{"xmlns":131},[133,31218,31219,31257],{},[136,31220,31221,31227,31229,31235,31237,31243,31249,31251],{},[629,31222,31223,31225],{},[139,31224,9546],{},[139,31226,19796],{},[143,31228,358],{},[3621,31230,31231,31233],{},[139,31232,29285],{},[143,31234,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,31236,2646],{},[3621,31238,31239,31241],{},[139,31240,29294],{},[143,31242,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[629,31244,31245,31247],{},[139,31246,28895],{},[139,31248,19796],{},[143,31250,2646],{},[629,31252,31253,31255],{},[139,31254,3629],{},[139,31256,19796],{},[154,31258,31259],{"encoding":156},"x_{i} = a' + b'y_{i} + e_{i}",[120,31261,31263,31321,31368,31458],{"className":31262,"ariaHidden":162},[161],[120,31264,31266,31269,31312,31315,31318],{"className":31265},[166],[120,31267],{"className":31268,"style":29520},[170],[120,31270,31272,31275],{"className":31271},[175],[120,31273,9546],{"className":31274},[175,176],[120,31276,31278],{"className":31277},[722],[120,31279,31281,31304],{"className":31280},[726,727],[120,31282,31284,31301],{"className":31283},[731],[120,31285,31287],{"className":31286,"style":19828},[735],[120,31288,31289,31292],{"style":739},[120,31290],{"className":31291,"style":744},[743],[120,31293,31295],{"className":31294},[748,749,750,751],[120,31296,31298],{"className":31297},[175,751],[120,31299,19796],{"className":31300},[175,176,751],[120,31302,762],{"className":31303},[761],[120,31305,31307],{"className":31306},[731],[120,31308,31310],{"className":31309,"style":769},[735],[120,31311],{},[120,31313],{"className":31314,"style":399},[398],[120,31316,358],{"className":31317},[403],[120,31319],{"className":31320,"style":399},[398],[120,31322,31324,31327,31359,31362,31365],{"className":31323},[166],[120,31325],{"className":31326,"style":29381},[170],[120,31328,31330,31333],{"className":31329},[175],[120,31331,29285],{"className":31332},[175,176],[120,31334,31336],{"className":31335},[722],[120,31337,31339],{"className":31338},[726],[120,31340,31342],{"className":31341},[731],[120,31343,31345],{"className":31344,"style":13877},[735],[120,31346,31347,31350],{"style":9686},[120,31348],{"className":31349,"style":744},[743],[120,31351,31353],{"className":31352},[748,749,750,751],[120,31354,31356],{"className":31355},[175,751],[120,31357,13253],{"className":31358},[175,751],[120,31360],{"className":31361,"style":1352},[398],[120,31363,2646],{"className":31364},[1356],[120,31366],{"className":31367,"style":1352},[398],[120,31369,31371,31374,31406,31449,31452,31455],{"className":31370},[166],[120,31372],{"className":31373,"style":13858},[170],[120,31375,31377,31380],{"className":31376},[175],[120,31378,29294],{"className":31379},[175,176],[120,31381,31383],{"className":31382},[722],[120,31384,31386],{"className":31385},[726],[120,31387,31389],{"className":31388},[731],[120,31390,31392],{"className":31391,"style":13877},[735],[120,31393,31394,31397],{"style":9686},[120,31395],{"className":31396,"style":744},[743],[120,31398,31400],{"className":31399},[748,749,750,751],[120,31401,31403],{"className":31402},[175,751],[120,31404,13253],{"className":31405},[175,751],[120,31407,31409,31412],{"className":31408},[175],[120,31410,28895],{"className":31411,"style":5677},[175,176],[120,31413,31415],{"className":31414},[722],[120,31416,31418,31441],{"className":31417},[726,727],[120,31419,31421,31438],{"className":31420},[731],[120,31422,31424],{"className":31423,"style":19828},[735],[120,31425,31426,31429],{"style":19903},[120,31427],{"className":31428,"style":744},[743],[120,31430,31432],{"className":31431},[748,749,750,751],[120,31433,31435],{"className":31434},[175,751],[120,31436,19796],{"className":31437},[175,176,751],[120,31439,762],{"className":31440},[761],[120,31442,31444],{"className":31443},[731],[120,31445,31447],{"className":31446,"style":769},[735],[120,31448],{},[120,31450],{"className":31451,"style":1352},[398],[120,31453,2646],{"className":31454},[1356],[120,31456],{"className":31457,"style":1352},[398],[120,31459,31461,31464],{"className":31460},[166],[120,31462],{"className":31463,"style":29520},[170],[120,31465,31467,31470],{"className":31466},[175],[120,31468,3629],{"className":31469},[175,176],[120,31471,31473],{"className":31472},[722],[120,31474,31476,31499],{"className":31475},[726,727],[120,31477,31479,31496],{"className":31478},[731],[120,31480,31482],{"className":31481,"style":19828},[735],[120,31483,31484,31487],{"style":739},[120,31485],{"className":31486,"style":744},[743],[120,31488,31490],{"className":31489},[748,749,750,751],[120,31491,31493],{"className":31492},[175,751],[120,31494,19796],{"className":31495},[175,176,751],[120,31497,762],{"className":31498},[761],[120,31500,31502],{"className":31501},[731],[120,31503,31505],{"className":31504,"style":769},[735],[120,31506],{},[21,31508,9500],{},[21,31510,31511],{},[120,31512,31514,31634],{"className":31513},[123],[120,31515,31517],{"className":31516},[127],[129,31518,31519],{"xmlns":131},[133,31520,31521,31631],{},[136,31522,31523,31529,31531],{},[3621,31524,31525,31527],{},[139,31526,29294],{},[143,31528,13253],{"mathvariant":672,"lspace":13252,"rspace":13252},[143,31530,358],{},[1043,31532,31533,31591],{},[136,31534,31535,31549],{},[660,31536,31537,31539,31547],{},[143,31538,19946],{},[136,31540,31541,31543,31545],{},[139,31542,19796],{},[143,31544,358],{},[360,31546,1294],{},[139,31548,9521],{},[136,31550,31551,31571],{},[136,31552,31553,31555,31561,31563,31569],{},[143,31554,146],{"fence":162},[629,31556,31557,31559],{},[139,31558,28895],{},[139,31560,19796],{},[143,31562,669],{},[3081,31564,31565,31567],{"accent":162},[139,31566,28895],{},[143,31568,3087],{"stretchy":162},[143,31570,152],{"fence":162},[136,31572,31573,31575,31581,31583,31589],{},[143,31574,146],{"fence":162},[629,31576,31577,31579],{},[139,31578,9546],{},[139,31580,19796],{},[143,31582,669],{},[3081,31584,31585,31587],{"accent":162},[139,31586,9546],{},[143,31588,3087],{"stretchy":162},[143,31590,152],{"fence":162},[136,31592,31593,31607],{},[660,31594,31595,31597,31605],{},[143,31596,19946],{},[136,31598,31599,31601,31603],{},[139,31600,19796],{},[143,31602,358],{},[360,31604,1294],{},[139,31606,9521],{},[3621,31608,31609,31629],{},[136,31610,31611,31613,31619,31621,31627],{},[143,31612,146],{"fence":162},[629,31614,31615,31617],{},[139,31616,28895],{},[139,31618,19796],{},[143,31620,669],{},[3081,31622,31623,31625],{"accent":162},[139,31624,28895],{},[143,31626,3087],{"stretchy":162},[143,31628,152],{"fence":162},[360,31630,9849],{},[154,31632,31633],{"encoding":156},"b' = \\frac{\\sum_{i = 1}^{n}{\\left( y_{i} - \\overline{y} \\right)\\left( x_{i} - \\overline{x} \\right)}}{\\sum_{i = 1}^{n}\\left( y_{i} - \\overline{y} \\right)^{2}}",[120,31635,31637,31684],{"className":31636,"ariaHidden":162},[161],[120,31638,31640,31643,31675,31678,31681],{"className":31639},[166],[120,31641],{"className":31642,"style":13877},[170],[120,31644,31646,31649],{"className":31645},[175],[120,31647,29294],{"className":31648},[175,176],[120,31650,31652],{"className":31651},[722],[120,31653,31655],{"className":31654},[726],[120,31656,31658],{"className":31657},[731],[120,31659,31661],{"className":31660,"style":13877},[735],[120,31662,31663,31666],{"style":9686},[120,31664],{"className":31665,"style":744},[743],[120,31667,31669],{"className":31668},[748,749,750,751],[120,31670,31672],{"className":31671},[175,751],[120,31673,13253],{"className":31674},[175,751],[120,31676],{"className":31677,"style":399},[398],[120,31679,358],{"className":31680},[403],[120,31682],{"className":31683,"style":399},[398],[120,31685,31687,31690],{"className":31686},[166],[120,31688],{"className":31689,"style":29747},[170],[120,31691,31693,31696,32208],{"className":31692},[175],[120,31694],{"className":31695},[181,1113],[120,31697,31699],{"className":31698},[1043],[120,31700,31702,32200],{"className":31701},[726,727],[120,31703,31705,32197],{"className":31704},[731],[120,31706,31708,31914,31922],{"className":31707,"style":29766},[735],[120,31709,31710,31713],{"style":29769},[120,31711],{"className":31712,"style":1133},[743],[120,31714,31716],{"className":31715},[748,749,750,751],[120,31717,31719,31782],{"className":31718},[175,751],[120,31720,31722,31725],{"className":31721},[879,751],[120,31723,19946],{"className":31724,"style":20037},[879,883,884,751],[120,31726,31728],{"className":31727},[722],[120,31729,31731,31774],{"className":31730},[726,727],[120,31732,31734,31771],{"className":31733},[731],[120,31735,31737,31757],{"className":31736,"style":29797},[735],[120,31738,31739,31742],{"style":29800},[120,31740],{"className":31741,"style":954},[743],[120,31743,31745],{"className":31744},[748,958,959,751],[120,31746,31748,31751,31754],{"className":31747},[175,751],[120,31749,19796],{"className":31750},[175,176,751],[120,31752,358],{"className":31753},[403,751],[120,31755,1294],{"className":31756},[175,751],[120,31758,31759,31762],{"style":29821},[120,31760],{"className":31761,"style":954},[743],[120,31763,31765],{"className":31764},[748,958,959,751],[120,31766,31768],{"className":31767},[175,751],[120,31769,9521],{"className":31770},[175,176,751],[120,31772,762],{"className":31773},[761],[120,31775,31777],{"className":31776},[731],[120,31778,31780],{"className":31779,"style":29843},[735],[120,31781],{},[120,31783,31785,31888],{"className":31784},[2781,751],[120,31786,31788,31794,31837,31840,31882],{"className":31787},[2781,751],[120,31789,31791],{"className":31790,"style":2786},[181,751,2785],[120,31792,146],{"className":31793},[751],[120,31795,31797,31800],{"className":31796},[175,751],[120,31798,28895],{"className":31799,"style":5677},[175,176,751],[120,31801,31803],{"className":31802},[722],[120,31804,31806,31829],{"className":31805},[726,727],[120,31807,31809,31826],{"className":31808},[731],[120,31810,31812],{"className":31811,"style":29876},[735],[120,31813,31814,31817],{"style":30091},[120,31815],{"className":31816,"style":954},[743],[120,31818,31820],{"className":31819},[748,958,959,751],[120,31821,31823],{"className":31822},[175,751],[120,31824,19796],{"className":31825},[175,176,751],[120,31827,762],{"className":31828},[761],[120,31830,31832],{"className":31831},[731],[120,31833,31835],{"className":31834,"style":975},[735],[120,31836],{},[120,31838,669],{"className":31839},[1356,751],[120,31841,31843],{"className":31842},[175,3104,751],[120,31844,31846,31874],{"className":31845},[726,727],[120,31847,31849,31871],{"className":31848},[731],[120,31850,31852,31863],{"className":31851,"style":29917},[735],[120,31853,31854,31857],{"style":3116},[120,31855],{"className":31856,"style":1133},[743],[120,31858,31860],{"className":31859},[175,751],[120,31861,28895],{"className":31862,"style":5677},[175,176,751],[120,31864,31865,31868],{"style":29931},[120,31866],{"className":31867,"style":1133},[743],[120,31869],{"className":31870,"style":5989},[3135,751],[120,31872,762],{"className":31873},[761],[120,31875,31877],{"className":31876},[731],[120,31878,31880],{"className":31879,"style":30158},[735],[120,31881],{},[120,31883,31885],{"className":31884,"style":2786},[188,751,2785],[120,31886,152],{"className":31887},[751],[120,31889,31891],{"className":31890},[722],[120,31892,31894],{"className":31893},[726],[120,31895,31897],{"className":31896},[731],[120,31898,31900],{"className":31899,"style":29956},[735],[120,31901,31902,31905],{"style":29821},[120,31903],{"className":31904,"style":954},[743],[120,31906,31908],{"className":31907},[748,958,959,751],[120,31909,31911],{"className":31910},[175,751],[120,31912,9849],{"className":31913},[175,751],[120,31915,31916,31919],{"style":1148},[120,31917],{"className":31918,"style":1133},[743],[120,31920],{"className":31921,"style":1156},[1155],[120,31923,31924,31927],{"style":29981},[120,31925],{"className":31926,"style":1133},[743],[120,31928,31930],{"className":31929},[748,749,750,751],[120,31931,31933,31996,31999],{"className":31932},[175,751],[120,31934,31936,31939],{"className":31935},[879,751],[120,31937,19946],{"className":31938,"style":20037},[879,883,884,751],[120,31940,31942],{"className":31941},[722],[120,31943,31945,31988],{"className":31944},[726,727],[120,31946,31948,31985],{"className":31947},[731],[120,31949,31951,31971],{"className":31950,"style":30009},[735],[120,31952,31953,31956],{"style":29800},[120,31954],{"className":31955,"style":954},[743],[120,31957,31959],{"className":31958},[748,958,959,751],[120,31960,31962,31965,31968],{"className":31961},[175,751],[120,31963,19796],{"className":31964},[175,176,751],[120,31966,358],{"className":31967},[403,751],[120,31969,1294],{"className":31970},[175,751],[120,31972,31973,31976],{"style":15313},[120,31974],{"className":31975,"style":954},[743],[120,31977,31979],{"className":31978},[748,958,959,751],[120,31980,31982],{"className":31981},[175,751],[120,31983,9521],{"className":31984},[175,176,751],[120,31986,762],{"className":31987},[761],[120,31989,31991],{"className":31990},[731],[120,31992,31994],{"className":31993,"style":29843},[735],[120,31995],{},[120,31997],{"className":31998,"style":30058},[398,751],[120,32000,32002,32105],{"className":32001},[175,751],[120,32003,32005,32011,32054,32057,32099],{"className":32004},[2781,751],[120,32006,32008],{"className":32007,"style":2786},[181,751,2785],[120,32009,146],{"className":32010},[751],[120,32012,32014,32017],{"className":32013},[175,751],[120,32015,28895],{"className":32016,"style":5677},[175,176,751],[120,32018,32020],{"className":32019},[722],[120,32021,32023,32046],{"className":32022},[726,727],[120,32024,32026,32043],{"className":32025},[731],[120,32027,32029],{"className":32028,"style":29876},[735],[120,32030,32031,32034],{"style":30091},[120,32032],{"className":32033,"style":954},[743],[120,32035,32037],{"className":32036},[748,958,959,751],[120,32038,32040],{"className":32039},[175,751],[120,32041,19796],{"className":32042},[175,176,751],[120,32044,762],{"className":32045},[761],[120,32047,32049],{"className":32048},[731],[120,32050,32052],{"className":32051,"style":975},[735],[120,32053],{},[120,32055,669],{"className":32056},[1356,751],[120,32058,32060],{"className":32059},[175,3104,751],[120,32061,32063,32091],{"className":32062},[726,727],[120,32064,32066,32088],{"className":32065},[731],[120,32067,32069,32080],{"className":32068,"style":29917},[735],[120,32070,32071,32074],{"style":3116},[120,32072],{"className":32073,"style":1133},[743],[120,32075,32077],{"className":32076},[175,751],[120,32078,28895],{"className":32079,"style":5677},[175,176,751],[120,32081,32082,32085],{"style":29931},[120,32083],{"className":32084,"style":1133},[743],[120,32086],{"className":32087,"style":5989},[3135,751],[120,32089,762],{"className":32090},[761],[120,32092,32094],{"className":32093},[731],[120,32095,32097],{"className":32096,"style":30158},[735],[120,32098],{},[120,32100,32102],{"className":32101,"style":2786},[188,751,2785],[120,32103,152],{"className":32104},[751],[120,32106,32108,32114,32157,32160,32191],{"className":32107},[2781,751],[120,32109,32111],{"className":32110,"style":2786},[181,751,2785],[120,32112,146],{"className":32113},[751],[120,32115,32117,32120],{"className":32116},[175,751],[120,32118,9546],{"className":32119},[175,176,751],[120,32121,32123],{"className":32122},[722],[120,32124,32126,32149],{"className":32125},[726,727],[120,32127,32129,32146],{"className":32128},[731],[120,32130,32132],{"className":32131,"style":29876},[735],[120,32133,32134,32137],{"style":950},[120,32135],{"className":32136,"style":954},[743],[120,32138,32140],{"className":32139},[748,958,959,751],[120,32141,32143],{"className":32142},[175,751],[120,32144,19796],{"className":32145},[175,176,751],[120,32147,762],{"className":32148},[761],[120,32150,32152],{"className":32151},[731],[120,32153,32155],{"className":32154,"style":975},[735],[120,32156],{},[120,32158,669],{"className":32159},[1356,751],[120,32161,32163],{"className":32162},[175,3104,751],[120,32164,32166],{"className":32165},[726],[120,32167,32169],{"className":32168},[731],[120,32170,32172,32183],{"className":32171,"style":29917},[735],[120,32173,32174,32177],{"style":3116},[120,32175],{"className":32176,"style":1133},[743],[120,32178,32180],{"className":32179},[175,751],[120,32181,9546],{"className":32182},[175,176,751],[120,32184,32185,32188],{"style":29931},[120,32186],{"className":32187,"style":1133},[743],[120,32189],{"className":32190,"style":5989},[3135,751],[120,32192,32194],{"className":32193,"style":2786},[188,751,2785],[120,32195,152],{"className":32196},[751],[120,32198,762],{"className":32199},[761],[120,32201,32203],{"className":32202},[731],[120,32204,32206],{"className":32205,"style":30268},[735],[120,32207],{},[120,32209],{"className":32210},[188,1113],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= \\overline{x} - 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80h400000v40h-400000z",[120,33989,762],{"className":33990},[761],[120,33992,33994],{"className":33993},[731],[120,33995,33998],{"className":33996,"style":33997},[735],"height:0.5279em;",[120,33999],{},[120,34001,34003,34006],{"style":34002},"top:-3.5421em;",[120,34004],{"className":34005,"style":33553},[743],[120,34007],{"className":34008,"style":1156},[1155],[120,34010,34012,34015],{"style":34011},"top:-4.0019em;",[120,34013],{"className":34014,"style":33553},[743],[120,34016,34018,34081,34084,34176,34179],{"className":34017},[175],[120,34019,34021,34024],{"className":34020},[879],[120,34022,19946],{"className":34023,"style":20037},[879,883,884],[120,34025,34027],{"className":34026},[722],[120,34028,34030,34073],{"className":34029},[726,727],[120,34031,34033,34070],{"className":34032},[731],[120,34034,34036,34056],{"className":34035,"style":30728},[735],[120,34037,34038,34041],{"style":20053},[120,34039],{"className":34040,"style":744},[743],[120,34042,34044],{"className":34043},[748,749,750,751],[120,34045,34047,34050,34053],{"className":34046},[175,751],[120,34048,19796],{"className":34049},[175,176,751],[120,34051,358],{"className":34052},[403,751],[120,34054,1294],{"className":34055},[175,751],[120,34057,34058,34061],{"style":20076},[120,34059],{"className":34060,"style":744},[743],[120,34062,34064],{"className":34063},[748,749,750,751],[120,34065,34067],{"className":34066},[175,751],[120,34068,9521],{"className":34069},[175,176,751],[120,34071,762],{"className":34072},[761],[120,34074,34076],{"className":34075},[731],[120,34077,34079],{"className":34078,"style":30772},[735],[120,34080],{},[120,34082],{"className":34083,"style":993},[398],[120,34085,34087,34090,34133,34136,34139,34142,34173],{"className":34086},[2781],[120,34088,146],{"className":34089,"style":2786},[181,2785],[120,34091,34093,34096],{"className":34092},[175],[120,34094,9546],{"className":34095},[175,176],[120,34097,34099],{"className":34098},[722],[120,34100,34102,34125],{"className":34101},[726,727],[120,34103,34105,34122],{"className":34104},[731],[120,34106,34108],{"className":34107,"style":19828},[735],[120,34109,34110,34113],{"style":739},[120,34111],{"className":34112,"style":744},[743],[120,34114,34116],{"className":34115},[748,749,750,751],[120,34117,34119],{"className":34118},[175,751],[120,34120,19796],{"className":34121},[175,176,751],[120,34123,762],{"className":34124},[761],[120,34126,34128],{"className":34127},[731],[120,34129,34131],{"className":34130,"style":769},[735],[120,34132],{},[120,34134],{"className":34135,"style":1352},[398],[120,34137,669],{"className":34138},[1356],[120,34140],{"className":34141,"style":1352},[398],[120,34143,34145],{"className":34144},[175,3104],[120,34146,34148],{"className":34147},[726],[120,34149,34151],{"className":34150},[731],[120,34152,34154,34165],{"className":34153,"style":30394},[735],[120,34155,34156,34159],{"style":3116},[120,34157],{"className":34158,"style":1133},[743],[120,34160,34162],{"className":34161},[175],[120,34163,9546],{"className":34164},[175,176],[120,34166,34167,34170],{"style":30408},[120,34168],{"className":34169,"style":1133},[743],[120,34171],{"className":34172,"style":1156},[3135],[120,34174,152],{"className":34175,"style":2786},[188,2785],[120,34177],{"className":34178,"style":993},[398],[120,34180,34182,34185,34228,34231,34234,34237,34279],{"className":34181},[2781],[120,34183,146],{"className":34184,"style":2786},[181,2785],[120,34186,34188,34191],{"className":34187},[175],[120,34189,28895],{"className":34190,"style":5677},[175,176],[120,34192,34194],{"className":34193},[722],[120,34195,34197,34220],{"className":34196},[726,727],[120,34198,34200,34217],{"className":34199},[731],[120,34201,34203],{"className":34202,"style":19828},[735],[120,34204,34205,34208],{"style":19903},[120,34206],{"className":34207,"style":744},[743],[120,34209,34211],{"className":34210},[748,749,750,751],[120,34212,34214],{"className":34213},[175,751],[120,34215,19796],{"className":34216},[175,176,751],[120,34218,762],{"className":34219},[761],[120,34221,34223],{"className":34222},[731],[120,34224,34226],{"className":34225,"style":769},[735],[120,34227],{},[120,34229],{"className":34230,"style":1352},[398],[120,34232,669],{"className":34233},[1356],[120,34235],{"className":34236,"style":1352},[398],[120,34238,34240],{"className":34239},[175,3104],[120,34241,34243,34271],{"className":34242},[726,727],[120,34244,34246,34268],{"className":34245},[731],[120,34247,34249,34260],{"className":34248,"style":30394},[735],[120,34250,34251,34254],{"style":3116},[120,34252],{"className":34253,"style":1133},[743],[120,34255,34257],{"className":34256},[175],[120,34258,28895],{"className":34259,"style":5677},[175,176],[120,34261,34262,34265],{"style":30408},[120,34263],{"className":34264,"style":1133},[743],[120,34266],{"className":34267,"style":1156},[3135],[120,34269,762],{"className":34270},[761],[120,34272,34274],{"className":34273},[731],[120,34275,34277],{"className":34276,"style":30158},[735],[120,34278],{},[120,34280,152],{"className":34281,"style":2786},[188,2785],[120,34283,762],{"className":34284},[761],[120,34286,34288],{"className":34287},[731],[120,34289,34292],{"className":34290,"style":34291},[735],"height:1.73em;",[120,34293],{},[120,34295],{"className":34296},[188,1113],[21,34298,9500],{},[6121,34300,34301,34437,34507],{},[103,34302,34303,6088,34364,34436],{},[120,34304,34306,34324],{"className":34305},[123],[120,34307,34309],{"className":34308},[127],[129,34310,34311],{"xmlns":131},[133,34312,34313,34321],{},[136,34314,34315],{},[3081,34316,34317,34319],{"accent":162},[139,34318,9546],{},[143,34320,3087],{"stretchy":162},[154,34322,34323],{"encoding":156},"\\overline{x}",[120,34325,34327],{"className":34326,"ariaHidden":162},[161],[120,34328,34330,34333],{"className":34329},[166],[120,34331],{"className":34332,"style":30394},[170],[120,34334,34336],{"className":34335},[175,3104],[120,34337,34339],{"className":34338},[726],[120,34340,34342],{"className":34341},[731],[120,34343,34345,34356],{"className":34344,"style":30394},[735],[120,34346,34347,34350],{"style":3116},[120,34348],{"className":34349,"style":1133},[743],[120,34351,34353],{"className":34352},[175],[120,34354,9546],{"className":34355},[175,176],[120,34357,34358,34361],{"style":30408},[120,34359],{"className":34360,"style":1133},[743],[120,34362],{"className":34363,"style":1156},[3135],[120,34365,34367,34385],{"className":34366},[123],[120,34368,34370],{"className":34369},[127],[129,34371,34372],{"xmlns":131},[133,34373,34374,34382],{},[136,34375,34376],{},[3081,34377,34378,34380],{"accent":162},[139,34379,28895],{},[143,34381,3087],{"stretchy":162},[154,34383,34384],{"encoding":156},"\\overline{y}",[120,34386,34388],{"className":34387,"ariaHidden":162},[161],[120,34389,34391,34394],{"className":34390},[166],[120,34392],{"className":34393,"style":30381},[170],[120,34395,34397],{"className":34396},[175,3104],[120,34398,34400,34428],{"className":34399},[726,727],[120,34401,34403,34425],{"className":34402},[731],[120,34404,34406,34417],{"className":34405,"style":30394},[735],[120,34407,34408,34411],{"style":3116},[120,34409],{"className":34410,"style":1133},[743],[120,34412,34414],{"className":34413},[175],[120,34415,28895],{"className":34416,"style":5677},[175,176],[120,34418,34419,34422],{"style":30408},[120,34420],{"className":34421,"style":1133},[743],[120,34423],{"className":34424,"style":1156},[3135],[120,34426,762],{"className":34427},[761],[120,34429,34431],{"className":34430},[731],[120,34432,34434],{"className":34433,"style":30158},[735],[120,34435],{}," 为 X 和 Y 的样本均值。",[103,34438,34439,34506],{},[120,34440,34442,34470],{"className":34441},[123],[120,34443,34445],{"className":34444},[127],[129,34446,34447],{"xmlns":131},[133,34448,34449,34467],{},[136,34450,34451,34453,34455,34457,34459,34461,34463,34465],{},[139,34452,22539],{},[139,34454,24173],{},[139,34456,33152],{},[143,34458,146],{"stretchy":145},[139,34460,22534],{},[143,34462,5577],{"separator":162},[139,34464,21362],{},[143,34466,152],{"stretchy":145},[154,34468,34469],{"encoding":156},"Cov(X,Y)",[120,34471,34473],{"className":34472,"ariaHidden":162},[161],[120,34474,34476,34479,34482,34485,34488,34491,34494,34497,34500,34503],{"className":34475},[166],[120,34477],{"className":34478,"style":171},[170],[120,34480,22539],{"className":34481,"style":22593},[175,176],[120,34483,24173],{"className":34484},[175,176],[120,34486,33152],{"className":34487,"style":5677},[175,176],[120,34489,146],{"className":34490},[181],[120,34492,22534],{"className":34493,"style":22573},[175,176],[120,34495,5577],{"className":34496},[5661],[120,34498],{"className":34499,"style":993},[398],[120,34501,21362],{"className":34502,"style":21385},[175,176],[120,34504,152],{"className":34505},[188]," 为协方差。",[103,34508,34509,6088,34579,34649],{},[120,34510,34512,34530],{"className":34511},[123],[120,34513,34515],{"className":34514},[127],[129,34516,34517],{"xmlns":131},[133,34518,34519,34527],{},[136,34520,34521],{},[629,34522,34523,34525],{},[139,34524,10362],{},[139,34526,22534],{},[154,34528,34529],{"encoding":156},"\\sigma_X",[120,34531,34533],{"className":34532,"ariaHidden":162},[161],[120,34534,34536,34539],{"className":34535},[166],[120,34537],{"className":34538,"style":29520},[170],[120,34540,34542,34545],{"className":34541},[175],[120,34543,10362],{"className":34544,"style":5677},[175,176],[120,34546,34548],{"className":34547},[722],[120,34549,34551,34571],{"className":34550},[726,727],[120,34552,34554,34568],{"className":34553},[731],[120,34555,34557],{"className":34556,"style":33392},[735],[120,34558,34559,34562],{"style":19903},[120,34560],{"className":34561,"style":744},[743],[120,34563,34565],{"className":34564},[748,749,750,751],[120,34566,22534],{"className":34567,"style":22573},[175,176,751],[120,34569,762],{"className":34570},[761],[120,34572,34574],{"className":34573},[731],[120,34575,34577],{"className":34576,"style":769},[735],[120,34578],{},[120,34580,34582,34600],{"className":34581},[123],[120,34583,34585],{"className":34584},[127],[129,34586,34587],{"xmlns":131},[133,34588,34589,34597],{},[136,34590,34591],{},[629,34592,34593,34595],{},[139,34594,10362],{},[139,34596,21362],{},[154,34598,34599],{"encoding":156},"\\sigma_Y",[120,34601,34603],{"className":34602,"ariaHidden":162},[161],[120,34604,34606,34609],{"className":34605},[166],[120,34607],{"className":34608,"style":29520},[170],[120,34610,34612,34615],{"className":34611},[175],[120,34613,10362],{"className":34614,"style":5677},[175,176],[120,34616,34618],{"className":34617},[722],[120,34619,34621,34641],{"className":34620},[726,727],[120,34622,34624,34638],{"className":34623},[731],[120,34625,34627],{"className":34626,"style":33392},[735],[120,34628,34629,34632],{"style":19903},[120,34630],{"className":34631,"style":744},[743],[120,34633,34635],{"className":34634},[748,749,750,751],[120,34636,21362],{"className":34637,"style":21385},[175,176,751],[120,34639,762],{"className":34640},[761],[120,34642,34644],{"className":34643},[731],[120,34645,34647],{"className":34646,"style":769},[735],[120,34648],{}," 为 X 和 Y 的标准差。",[21,34651,34652],{},"解释如下：",[6121,34654,34655,34658,34661],{},[103,34656,34657],{},"数值范围为 -1 至 +1。",[103,34659,34660],{},"-1 表示负斜率的完全拟合。",[103,34662,34663],{},"+1 表示正斜率的完全拟合。",[62,34665],{"src":34666,"alt":34667,"width":66},"/media/image39.png","相关系数衡量数据点形成直线的程度",[21,34669,34667],{},[21,34671,34672,34673,34675,34676,34704],{},"考虑数据集 ",[19768,34674,19774],{},"。下图显示使用 RRX 将该数据拟合至指数、威布尔、正态和对数正态模型时得到的 ",[120,34677,34679,34692],{"className":34678},[123],[120,34680,34682],{"className":34681},[127],[129,34683,34684],{"xmlns":131},[133,34685,34686,34690],{},[136,34687,34688],{},[139,34689,33105],{},[154,34691,33108],{"encoding":156},[120,34693,34695],{"className":34694,"ariaHidden":162},[161],[120,34696,34698,34701],{"className":34697},[166],[120,34699],{"className":34700,"style":6115},[170],[120,34702,33105],{"className":34703},[175,176]," 值。",[62,34706],{"src":34707,"alt":34708,"width":3532},"/media/image40.png","不同分布的相关系数",[21,34710,34711],{},"相关系数绝对值等于 1 表示完全拟合",[21,34713,34714,34715,34743],{},"在概率图法（秩回归）中，",[120,34716,34718,34731],{"className":34717},[123],[120,34719,34721],{"className":34720},[127],[129,34722,34723],{"xmlns":131},[133,34724,34725,34729],{},[136,34726,34727],{},[139,34728,33105],{},[154,34730,33108],{"encoding":156},[120,34732,34734],{"className":34733,"ariaHidden":162},[161],[120,34735,34737,34740],{"className":34736},[166],[120,34738],{"className":34739,"style":6115},[170],[120,34741,33105],{"className":34742},[175,176]," 可作为所选分布拟合数据优劣的指标。",[31,34745,34746],{"id":34746},"极大似然估计",[21,34748,34749],{},"极大似然估计（Maximum Likelihood Estimation，MLE）是一种估计概率分布参数的统计方法。它寻找一组参数，使在假定分布下观察到当前数据的可能性最大。其核心是建立一个似然函数，将观测数据的概率或概率密度表示为未知参数的函数，再求使该函数达到最大值的参数。",[21,34751,34752],{},"令：",[6121,34754,34755,34816,34876,35008,35040,35183,35325],{},[103,34756,34757,34815],{},[120,34758,34760,34785],{"className":34759},[123],[120,34761,34763],{"className":34762},[127],[129,34764,34765],{"xmlns":131},[133,34766,34767,34782],{},[136,34768,34769,34771,34773,34775,34777,34780],{},[139,34770,141],{},[143,34772,146],{"stretchy":145},[139,34774,149],{},[143,34776,5572],{"separator":162},[139,34778,34779],{},"θ",[143,34781,152],{"stretchy":145},[154,34783,34784],{"encoding":156},"f(t;\\theta)",[120,34786,34788],{"className":34787,"ariaHidden":162},[161],[120,34789,34791,34794,34797,34800,34803,34806,34809,34812],{"className":34790},[166],[120,34792],{"className":34793,"style":171},[170],[120,34795,141],{"className":34796,"style":177},[175,176],[120,34798,146],{"className":34799},[181],[120,34801,149],{"className":34802},[175,176],[120,34804,5572],{"className":34805},[5661],[120,34807],{"className":34808,"style":993},[398],[120,34810,34779],{"className":34811,"style":24205},[175,176],[120,34813,152],{"className":34814},[188],"：分布的概率密度函数，例如威布尔或对数正态分布。",[103,34817,34818,34875],{},[120,34819,34821,34845],{"className":34820},[123],[120,34822,34824],{"className":34823},[127],[129,34825,34826],{"xmlns":131},[133,34827,34828,34842],{},[136,34829,34830,34832,34834,34836,34838,34840],{},[139,34831,253],{},[143,34833,146],{"stretchy":145},[139,34835,149],{},[143,34837,5572],{"separator":162},[139,34839,34779],{},[143,34841,152],{"stretchy":145},[154,34843,34844],{"encoding":156},"F(t;\\theta)",[120,34846,34848],{"className":34847,"ariaHidden":162},[161],[120,34849,34851,34854,34857,34860,34863,34866,34869,34872],{"className":34850},[166],[120,34852],{"className":34853,"style":171},[170],[120,34855,253],{"className":34856,"style":275},[175,176],[120,34858,146],{"className":34859},[181],[120,34861,149],{"className":34862},[175,176],[120,34864,5572],{"className":34865},[5661],[120,34867],{"className":34868,"style":993},[398],[120,34870,34779],{"className":34871,"style":24205},[175,176],[120,34873,152],{"className":34874},[188],"：累积分布函数。",[103,34877,34878,35007],{},[120,34879,34881,34923],{"className":34880},[123],[120,34882,34884],{"className":34883},[127],[129,34885,34886],{"xmlns":131},[133,34887,34888,34920],{},[136,34889,34890,34892,34894,34896,34898,34900,34902,34904,34906,34908,34910,34912,34914,34916,34918],{},[139,34891,1283],{},[143,34893,146],{"stretchy":145},[139,34895,149],{},[143,34897,5572],{"separator":162},[139,34899,34779],{},[143,34901,152],{"stretchy":145},[143,34903,358],{},[360,34905,1294],{},[143,34907,669],{},[139,34909,253],{},[143,34911,146],{"stretchy":145},[139,34913,149],{},[143,34915,5572],{"separator":162},[139,34917,34779],{},[143,34919,152],{"stretchy":145},[154,34921,34922],{"encoding":156},"R(t;\\theta)=1-F(t;\\theta)",[120,34924,34926,34962,34980],{"className":34925,"ariaHidden":162},[161],[120,34927,34929,34932,34935,34938,34941,34944,34947,34950,34953,34956,34959],{"className":34928},[166],[120,34930],{"className":34931,"style":171},[170],[120,34933,1283],{"className":34934,"style":1320},[175,176],[120,34936,146],{"className":34937},[181],[120,34939,149],{"className":34940},[175,176],[120,34942,5572],{"className":34943},[5661],[120,34945],{"className":34946,"style":993},[398],[120,34948,34779],{"className":34949,"style":24205},[175,176],[120,34951,152],{"className":34952},[188],[120,34954],{"className":34955,"style":399},[398],[120,34957,358],{"className":34958},[403],[120,34960],{"className":34961,"style":399},[398],[120,34963,34965,34968,34971,34974,34977],{"className":34964},[166],[120,34966],{"className":34967,"style":1345},[170],[120,34969,1294],{"className":34970},[175],[120,34972],{"className":34973,"style":1352},[398],[120,34975,669],{"className":34976},[1356],[120,34978],{"className":34979,"style":1352},[398],[120,34981,34983,34986,34989,34992,34995,34998,35001,35004],{"className":34982},[166],[120,34984],{"className":34985,"style":171},[170],[120,34987,253],{"className":34988,"style":275},[175,176],[120,34990,146],{"className":34991},[181],[120,34993,149],{"className":34994},[175,176],[120,34996,5572],{"className":34997},[5661],[120,34999],{"className":35000,"style":993},[398],[120,35002,34779],{"className":35003,"style":24205},[175,176],[120,35005,152],{"className":35006},[188],"：可靠度函数（存活概率）。",[103,35009,35010,35039],{},[120,35011,35013,35027],{"className":35012},[123],[120,35014,35016],{"className":35015},[127],[129,35017,35018],{"xmlns":131},[133,35019,35020,35024],{},[136,35021,35022],{},[139,35023,34779],{},[154,35025,35026],{"encoding":156},"\\theta",[120,35028,35030],{"className":35029,"ariaHidden":162},[161],[120,35031,35033,35036],{"className":35032},[166],[120,35034],{"className":35035,"style":3755},[170],[120,35037,34779],{"className":35038,"style":24205},[175,176],"：未知分布参数向量，例如形状参数和尺度参数。",[103,35041,35042,35112,35113,35182],{},[120,35043,35045,35063],{"className":35044},[123],[120,35046,35048],{"className":35047},[127],[129,35049,35050],{"xmlns":131},[133,35051,35052,35060],{},[136,35053,35054],{},[629,35055,35056,35058],{},[139,35057,9521],{},[360,35059,1294],{},[154,35061,35062],{"encoding":156},"n_1",[120,35064,35066],{"className":35065,"ariaHidden":162},[161],[120,35067,35069,35072],{"className":35068},[166],[120,35070],{"className":35071,"style":29520},[170],[120,35073,35075,35078],{"className":35074},[175],[120,35076,9521],{"className":35077},[175,176],[120,35079,35081],{"className":35080},[722],[120,35082,35084,35104],{"className":35083},[726,727],[120,35085,35087,35101],{"className":35086},[731],[120,35088,35090],{"className":35089,"style":736},[735],[120,35091,35092,35095],{"style":739},[120,35093],{"className":35094,"style":744},[743],[120,35096,35098],{"className":35097},[748,749,750,751],[120,35099,1294],{"className":35100},[175,751],[120,35102,762],{"className":35103},[761],[120,35105,35107],{"className":35106},[731],[120,35108,35110],{"className":35109,"style":769},[735],[120,35111],{},"：在时间 ",[120,35114,35116,35133],{"className":35115},[123],[120,35117,35119],{"className":35118},[127],[129,35120,35121],{"xmlns":131},[133,35122,35123,35131],{},[136,35124,35125],{},[629,35126,35127,35129],{},[139,35128,149],{},[139,35130,19796],{},[154,35132,19799],{"encoding":156},[120,35134,35136],{"className":35135,"ariaHidden":162},[161],[120,35137,35139,35142],{"className":35138},[166],[120,35140],{"className":35141,"style":19809},[170],[120,35143,35145,35148],{"className":35144},[175],[120,35146,149],{"className":35147},[175,176],[120,35149,35151],{"className":35150},[722],[120,35152,35154,35174],{"className":35153},[726,727],[120,35155,35157,35171],{"className":35156},[731],[120,35158,35160],{"className":35159,"style":19828},[735],[120,35161,35162,35165],{"style":739},[120,35163],{"className":35164,"style":744},[743],[120,35166,35168],{"className":35167},[748,749,750,751],[120,35169,19796],{"className":35170},[175,176,751],[120,35172,762],{"className":35173},[761],[120,35175,35177],{"className":35176},[731],[120,35178,35180],{"className":35179,"style":769},[735],[120,35181],{}," 发生的准确失效。",[103,35184,35185,35112,35255,35324],{},[120,35186,35188,35206],{"className":35187},[123],[120,35189,35191],{"className":35190},[127],[129,35192,35193],{"xmlns":131},[133,35194,35195,35203],{},[136,35196,35197],{},[629,35198,35199,35201],{},[139,35200,9521],{},[360,35202,9849],{},[154,35204,35205],{"encoding":156},"n_2",[120,35207,35209],{"className":35208,"ariaHidden":162},[161],[120,35210,35212,35215],{"className":35211},[166],[120,35213],{"className":35214,"style":29520},[170],[120,35216,35218,35221],{"className":35217},[175],[120,35219,9521],{"className":35220},[175,176],[120,35222,35224],{"className":35223},[722],[120,35225,35227,35247],{"className":35226},[726,727],[120,35228,35230,35244],{"className":35229},[731],[120,35231,35233],{"className":35232,"style":736},[735],[120,35234,35235,35238],{"style":739},[120,35236],{"className":35237,"style":744},[743],[120,35239,35241],{"className":35240},[748,749,750,751],[120,35242,9849],{"className":35243},[175,751],[120,35245,762],{"className":35246},[761],[120,35248,35250],{"className":35249},[731],[120,35251,35253],{"className":35252,"style":769},[735],[120,35254],{},[120,35256,35258,35275],{"className":35257},[123],[120,35259,35261],{"className":35260},[127],[129,35262,35263],{"xmlns":131},[133,35264,35265,35273],{},[136,35266,35267],{},[629,35268,35269,35271],{},[139,35270,149],{},[139,35272,19796],{},[154,35274,19799],{"encoding":156},[120,35276,35278],{"className":35277,"ariaHidden":162},[161],[120,35279,35281,35284],{"className":35280},[166],[120,35282],{"className":35283,"style":19809},[170],[120,35285,35287,35290],{"className":35286},[175],[120,35288,149],{"className":35289},[175,176],[120,35291,35293],{"className":35292},[722],[120,35294,35296,35316],{"className":35295},[726,727],[120,35297,35299,35313],{"className":35298},[731],[120,35300,35302],{"className":35301,"style":19828},[735],[120,35303,35304,35307],{"style":739},[120,35305],{"className":35306,"style":744},[743],[120,35308,35310],{"className":35309},[748,749,750,751],[120,35311,19796],{"className":35312},[175,176,751],[120,35314,762],{"className":35315},[761],[120,35317,35319],{"className":35318},[731],[120,35320,35322],{"className":35321,"style":769},[735],[120,35323],{}," 的右删失观测。",[103,35326,35327,35397,35398,35514,35515,35631],{},[120,35328,35330,35348],{"className":35329},[123],[120,35331,35333],{"className":35332},[127],[129,35334,35335],{"xmlns":131},[133,35336,35337,35345],{},[136,35338,35339],{},[629,35340,35341,35343],{},[139,35342,9521],{},[360,35344,28494],{},[154,35346,35347],{"encoding":156},"n_3",[120,35349,35351],{"className":35350,"ariaHidden":162},[161],[120,35352,35354,35357],{"className":35353},[166],[120,35355],{"className":35356,"style":29520},[170],[120,35358,35360,35363],{"className":35359},[175],[120,35361,9521],{"className":35362},[175,176],[120,35364,35366],{"className":35365},[722],[120,35367,35369,35389],{"className":35368},[726,727],[120,35370,35372,35386],{"className":35371},[731],[120,35373,35375],{"className":35374,"style":736},[735],[120,35376,35377,35380],{"style":739},[120,35378],{"className":35379,"style":744},[743],[120,35381,35383],{"className":35382},[748,749,750,751],[120,35384,28494],{"className":35385},[175,751],[120,35387,762],{"className":35388},[761],[120,35390,35392],{"className":35391},[731],[120,35393,35395],{"className":35394,"style":769},[735],[120,35396],{},"：在 ",[120,35399,35401,35423],{"className":35400},[123],[120,35402,35404],{"className":35403},[127],[129,35405,35406],{"xmlns":131},[133,35407,35408,35420],{},[136,35409,35410],{},[629,35411,35412,35414],{},[139,35413,149],{},[629,35415,35416,35418],{},[139,35417,26229],{},[139,35419,19796],{},[154,35421,35422],{"encoding":156},"t_{L_i}",[120,35424,35426],{"className":35425,"ariaHidden":162},[161],[120,35427,35429,35433],{"className":35428},[166],[120,35430],{"className":35431,"style":35432},[170],"height:0.8652em;vertical-align:-0.2501em;",[120,35434,35436,35439],{"className":35435},[175],[120,35437,149],{"className":35438},[175,176],[120,35440,35442],{"className":35441},[722],[120,35443,35445,35505],{"className":35444},[726,727],[120,35446,35448,35502],{"className":35447},[731],[120,35449,35451],{"className":35450,"style":33392},[735],[120,35452,35453,35456],{"style":739},[120,35454],{"className":35455,"style":744},[743],[120,35457,35459],{"className":35458},[748,749,750,751],[120,35460,35462],{"className":35461},[175,751],[120,35463,35465,35468],{"className":35464},[175,751],[120,35466,26229],{"className":35467},[175,176,751],[120,35469,35471],{"className":35470},[722],[120,35472,35474,35494],{"className":35473},[726,727],[120,35475,35477,35491],{"className":35476},[731],[120,35478,35480],{"className":35479,"style":29876},[735],[120,35481,35482,35485],{"style":950},[120,35483],{"className":35484,"style":954},[743],[120,35486,35488],{"className":35487},[748,958,959,751],[120,35489,19796],{"className":35490},[175,176,751],[120,35492,762],{"className":35493},[761],[120,35495,35497],{"className":35496},[731],[120,35498,35500],{"className":35499,"style":975},[735],[120,35501],{},[120,35503,762],{"className":35504},[761],[120,35506,35508],{"className":35507},[731],[120,35509,35512],{"className":35510,"style":35511},[735],"height:0.2501em;",[120,35513],{}," 与 ",[120,35516,35518,35541],{"className":35517},[123],[120,35519,35521],{"className":35520},[127],[129,35522,35523],{"xmlns":131},[133,35524,35525,35538],{},[136,35526,35527],{},[629,35528,35529,35531],{},[139,35530,149],{},[629,35532,35533,35536],{},[139,35534,35535],{},"U",[139,35537,19796],{},[154,35539,35540],{"encoding":156},"t_{U_i}",[120,35542,35544],{"className":35543,"ariaHidden":162},[161],[120,35545,35547,35550],{"className":35546},[166],[120,35548],{"className":35549,"style":35432},[170],[120,35551,35553,35556],{"className":35552},[175],[120,35554,149],{"className":35555},[175,176],[120,35557,35559],{"className":35558},[722],[120,35560,35562,35623],{"className":35561},[726,727],[120,35563,35565,35620],{"className":35564},[731],[120,35566,35568],{"className":35567,"style":33392},[735],[120,35569,35570,35573],{"style":739},[120,35571],{"className":35572,"style":744},[743],[120,35574,35576],{"className":35575},[748,749,750,751],[120,35577,35579],{"className":35578},[175,751],[120,35580,35582,35585],{"className":35581},[175,751],[120,35583,35535],{"className":35584,"style":1859},[175,176,751],[120,35586,35588],{"className":35587},[722],[120,35589,35591,35612],{"className":35590},[726,727],[120,35592,35594,35609],{"className":35593},[731],[120,35595,35597],{"className":35596,"style":29876},[735],[120,35598,35600,35603],{"style":35599},"top:-2.357em;margin-left:-0.109em;margin-right:0.0714em;",[120,35601],{"className":35602,"style":954},[743],[120,35604,35606],{"className":35605},[748,958,959,751],[120,35607,19796],{"className":35608},[175,176,751],[120,35610,762],{"className":35611},[761],[120,35613,35615],{"className":35614},[731],[120,35616,35618],{"className":35617,"style":975},[735],[120,35619],{},[120,35621,762],{"className":35622},[761],[120,35624,35626],{"className":35625},[731],[120,35627,35629],{"className":35628,"style":35511},[735],[120,35630],{}," 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= ln\\left( L(\\theta) \\right) = \\sum_{i = 1}^{n_{1}}{\\ln\\left( f\\left( t_{i};\\theta \\right) \\right) \\times \\sum_{i = 1}^{n_{2}}{\\ln\\left( R\\left( t_{i};\\theta \\right) \\right) \\times \\sum_{i = 1}^{n_{3}}{\\ln\\left\\lbrack F\\left( t_{U_{i}};\\theta \\right) - F\\left( t_{L_{i}};\\theta \\right) \\right\\rbrack\\text{~}}}}",[120,36812,36814,36832,36877],{"className":36813,"ariaHidden":162},[161],[120,36815,36817,36820,36823,36826,36829],{"className":36816},[166],[120,36818],{"className":36819,"style":1540},[170],[120,36821,36607],{"className":36822},[175],[120,36824],{"className":36825,"style":399},[398],[120,36827,358],{"className":36828},[403],[120,36830],{"className":36831,"style":399},[398],[120,36833,36835,36838,36841,36844,36847,36868,36871,36874],{"className":36834},[166],[120,36836],{"className":36837,"style":171},[170],[120,36839,13288],{"className":36840,"style":13717},[175,176],[120,36842,9521],{"className":36843},[175,176],[120,36845],{"className":36846,"style":993},[398],[120,36848,36850,36853,36856,36859,36862,36865],{"className":36849},[2781],[120,36851,146],{"className":36852,"style":2786},[181,2785],[120,36854,26229],{"className":36855},[175,176],[120,36857,146],{"className":36858},[181],[120,36860,34779],{"className":36861,"style":24205},[175,176],[120,36863,152],{"className":36864},[188],[120,36866,152],{"className":36867,"style":2786},[188,2785],[120,36869],{"className":36870,"style":399},[398],[120,36872,358],{"className":36873},[403],[120,36875],{"className":36876,"style":399},[398],[120,36878,36880,36883,36986,36989],{"className":36879},[166],[120,36881],{"className":36882,"style":35855},[170],[120,36884,36886,36889],{"className":36885},[879],[120,36887,19946],{"className":36888,"style":20037},[879,883,884],[120,36890,36892],{"className":36891},[722],[120,36893,36895,36978],{"className":36894},[726,727],[120,36896,36898,36975],{"className":36897},[731],[120,36899,36901,36921],{"className":36900,"style":30728},[735],[120,36902,36903,36906],{"style":20053},[120,36904],{"className":36905,"style":744},[743],[120,36907,36909],{"className":36908},[748,749,750,751],[120,36910,36912,36915,36918],{"className":36911},[175,751],[120,36913,19796],{"className":36914},[175,176,751],[120,36916,358],{"className":36917},[403,751],[120,36919,1294],{"className":36920},[175,751],[120,36922,36923,36926],{"style":20076},[120,36924],{"className":36925,"style":744},[743],[120,36927,36929],{"className":36928},[748,749,750,751],[120,36930,36932],{"className":36931},[175,751],[120,36933,36935,36938],{"className":36934},[175,751],[120,36936,9521],{"className":36937},[175,176,751],[120,36939,36941],{"className":36940},[722],[120,36942,36944,36967],{"className":36943},[726,727],[120,36945,36947,36964],{"className":36946},[731],[120,36948,36950],{"className":36949,"style":947},[735],[120,36951,36952,36955],{"style":950},[120,36953],{"className":36954,"style":954},[743],[120,36956,36958],{"className":36957},[748,958,959,751],[120,36959,36961],{"className":36960},[175,751],[120,36962,1294],{"className":36963},[175,751],[120,36965,762],{"className":36966},[761],[120,36968,36970],{"className":36969},[731],[120,36971,36973],{"className":36972,"style":975},[735],[120,36974],{},[120,36976,762],{"className":36977},[761],[120,36979,36981],{"className":36980},[731],[120,36982,36984],{"className":36983,"style":30772},[735],[120,36985],{},[120,36987],{"className":36988,"style":993},[398],[120,36990,36992,36995,36998,37074,37077,37080,37083,37186,37189],{"className":36991},[175],[120,36993,5230],{"className":36994},[879],[120,36996],{"className":36997,"style":993},[398],[120,36999,37001,37004,37007,37010,37071],{"className":37000},[2781],[120,37002,146],{"className":37003,"style":2786},[181,2785],[120,37005,141],{"className":37006,"style":177},[175,176],[120,37008],{"className":37009,"style":993},[398],[120,37011,37013,37016,37059,37062,37065,37068],{"className":37012},[2781],[120,37014,146],{"className":37015,"style":2786},[181,2785],[120,37017,37019,37022],{"className":37018},[175],[120,37020,149],{"className":37021},[175,176],[120,37023,37025],{"className":37024},[722],[120,37026,37028,37051],{"className":37027},[726,727],[120,37029,37031,37048],{"className":37030},[731],[120,37032,37034],{"className":37033,"style":19828},[735],[120,37035,37036,37039],{"style":739},[120,37037],{"className":37038,"style":744},[743],[120,37040,37042],{"className":37041},[748,749,750,751],[120,37043,37045],{"className":37044},[175,751],[120,37046,19796],{"className":37047},[175,176,751],[120,37049,762],{"className":37050},[761],[120,37052,37054],{"className":37053},[731],[120,37055,37057],{"className":37056,"style":769},[735],[120,37058],{},[120,37060,5572],{"className":37061},[5661],[120,37063],{"className":37064,"style":993},[398],[120,37066,34779],{"className":37067,"style":24205},[175,176],[120,37069,152],{"className":37070,"style":2786},[188,2785],[120,37072,152],{"className":37073,"style":2786},[188,2785],[120,37075],{"className":37076,"style":1352},[398],[120,37078,2669],{"className":37079},[1356],[120,37081],{"className":37082,"style":1352},[398],[120,37084,37086,37089],{"className":37085},[879],[120,37087,19946],{"className":37088,"style":20037},[879,883,884],[120,37090,37092],{"className":37091},[722],[120,37093,37095,37178],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寻找使对数似然 ",[120,37643,37645,37659],{"className":37644},[123],[120,37646,37648],{"className":37647},[127],[129,37649,37650],{"xmlns":131},[133,37651,37652,37656],{},[136,37653,37654],{},[139,37655,36607],{"mathvariant":672},[154,37657,37658],{"encoding":156},"\\Lambda",[120,37660,37662],{"className":37661,"ariaHidden":162},[161],[120,37663,37665,37668],{"className":37664},[166],[120,37666],{"className":37667,"style":1540},[170],[120,37669,36607],{"className":37670},[175]," 最大的参数 ",[120,37673,37675,37688],{"className":37674},[123],[120,37676,37678],{"className":37677},[127],[129,37679,37680],{"xmlns":131},[133,37681,37682,37686],{},[136,37683,37684],{},[139,37685,34779],{},[154,37687,35026],{"encoding":156},[120,37689,37691],{"className":37690,"ariaHidden":162},[161],[120,37692,37694,37697],{"className":37693},[166],[120,37695],{"className":37696,"style":3755},[170],[120,37698,34779],{"className":37699,"style":24205},[175,176],[21,37701,37702],{},"以下示例将一个数据集采用 MLE 拟合至威布尔分布。",[62,37704],{"src":37705,"alt":37706,"width":66},"/media/image41.png","威布尔分布函数",[21,37708,37706],{},[21,37710,37711],{},"PDF：",[21,37713,37714],{},[120,37715,37717,37798],{"className":37716},[123],[120,37718,37720],{"className":37719},[127],[129,37721,37722],{"xmlns":131},[133,37723,37724,37796],{},[136,37725,37726,37728,37730,37732,37734,37736,37738,37740,37742,37744,37750,37772],{},[139,37727,141],{},[143,37729,146],{"stretchy":145},[139,37731,149],{},[143,37733,5572],{"separator":162},[139,37735,5525],{},[143,37737,5577],{"separator":162},[139,37739,5580],{},[143,37741,152],{"stretchy":145},[143,37743,358],{},[1043,37745,37746,37748],{},[139,37747,5525],{},[139,37749,5580],{},[3621,37751,37752,37764],{},[136,37753,37754,37756,37762],{},[143,37755,146],{"fence":162},[1043,37757,37758,37760],{},[139,37759,149],{},[139,37761,5580],{},[143,37763,152],{"fence":162},[136,37765,37766,37768,37770],{},[139,37767,5525],{},[143,37769,669],{},[360,37771,1294],{},[3621,37773,37774,37776],{},[139,37775,3629],{},[3621,37777,37778,37794],{},[136,37779,37780,37782],{},[143,37781,669],{},[136,37783,37784,37786,37792],{},[143,37785,146],{"fence":162},[1043,37787,37788,37790],{},[139,37789,149],{},[139,37791,5580],{},[143,37793,152],{"fence":162},[139,37795,5525],{},[154,37797,5639],{"encoding":156},[120,37799,37801,37846],{"className":37800,"ariaHidden":162},[161],[120,37802,37804,37807,37810,37813,37816,37819,37822,37825,37828,37831,37834,37837,37840,37843],{"className":37803},[166],[120,37805],{"className":37806,"style":171},[170],[120,37808,141],{"className":37809,"style":177},[175,176],[120,37811,146],{"className":37812},[181],[120,37814,149],{"className":37815},[175,176],[120,37817,5572],{"className":37818},[5661],[120,37820],{"className":37821,"style":993},[398],[120,37823,5525],{"className":37824,"style":5542},[175,176],[120,37826,5577],{"className":37827},[5661],[120,37829],{"className":37830,"style":993},[398],[120,37832,5580],{"className":37833,"style":5677},[175,176],[120,37835,152],{"className":37836},[188],[120,37838],{"className":37839,"style":399},[398],[120,37841,358],{"className":37842},[403],[120,37844],{"className":37845,"style":399},[398],[120,37847,37849,37852,37920,37923,38041,38044],{"className":37848},[166],[120,37850],{"className":37851,"style":5696},[170],[120,37853,37855,37858,37917],{"className":37854},[175],[120,37856],{"className":37857},[181,1113],[120,37859,37861],{"className":37860},[1043],[120,37862,37864,37909],{"className":37863},[726,727],[120,37865,37867,37906],{"className":37866},[731],[120,37868,37870,37884,37892],{"className":37869,"style":5715},[735],[120,37871,37872,37875],{"style":1129},[120,37873],{"className":37874,"style":1133},[743],[120,37876,37878],{"className":37877},[748,749,750,751],[120,37879,37881],{"className":37880},[175,751],[120,37882,5580],{"className":37883,"style":5677},[175,176,751],[120,37885,37886,37889],{"style":1148},[120,37887],{"className":37888,"style":1133},[743],[120,37890],{"className":37891,"style":1156},[1155],[120,37893,37894,37897],{"style":5740},[120,37895],{"className":37896,"style":1133},[743],[120,37898,37900],{"className":37899},[748,749,750,751],[120,37901,37903],{"className":37902},[175,751],[120,37904,5525],{"className":37905,"style":5542},[175,176,751],[120,37907,762],{"className":37908},[761],[120,37910,37912],{"className":37911},[731],[120,37913,37915],{"className":37914,"style":5762},[735],[120,37916],{},[120,37918],{"className":37919},[188,1113],[120,37921],{"className":37922,"style":993},[398],[120,37924,37926,38009],{"className":37925},[2781],[120,37927,37929,37935,38003],{"className":37928},[2781],[120,37930,37932],{"className":37931,"style":2786},[181,2785],[120,37933,146],{"className":37934},[2790,3472],[120,37936,37938,37941,38000],{"className":37937},[175],[120,37939],{"className":37940},[181,1113],[120,37942,37944],{"className":37943},[1043],[120,37945,37947,37992],{"className":37946},[726,727],[120,37948,37950,37989],{"className":37949},[731],[120,37951,37953,37967,37975],{"className":37952,"style":5801},[735],[120,37954,37955,37958],{"style":1129},[120,37956],{"className":37957,"style":1133},[743],[120,37959,37961],{"className":37960},[748,749,750,751],[120,37962,37964],{"className":37963},[175,751],[120,37965,5580],{"className":37966,"style":5677},[175,176,751],[120,37968,37969,37972],{"style":1148},[120,37970],{"className":37971,"style":1133},[743],[120,37973],{"className":37974,"style":1156},[1155],[120,37976,37977,37980],{"style":1879},[120,37978],{"className":37979,"style":1133},[743],[120,37981,37983],{"className":37982},[748,749,750,751],[120,37984,37986],{"className":37985},[175,751],[120,37987,149],{"className":37988},[175,176,751],[120,37990,762],{"className":37991},[761],[120,37993,37995],{"className":37994},[731],[120,37996,37998],{"className":37997,"style":5762},[735],[120,37999],{},[120,38001],{"className":38002},[188,1113],[120,38004,38006],{"className":38005,"style":2786},[188,2785],[120,38007,152],{"className":38008},[2790,3472],[120,38010,38012],{"className":38011},[722],[120,38013,38015],{"className":38014},[726],[120,38016,38018],{"className":38017},[731],[120,38019,38021],{"className":38020,"style":5870},[735],[120,38022,38023,38026],{"style":5873},[120,38024],{"className":38025,"style":744},[743],[120,38027,38029],{"className":38028},[748,749,750,751],[120,38030,38032,38035,38038],{"className":38031},[175,751],[120,38033,5525],{"className":38034,"style":5542},[175,176,751],[120,38036,669],{"className":38037},[1356,751],[120,38039,1294],{"className":38040},[175,751],[120,38042],{"className":38043,"style":993},[398],[120,38045,38047,38050],{"className":38046},[175],[120,38048,3629],{"className":38049},[175,176],[120,38051,38053],{"className":38052},[722],[120,38054,38056],{"className":38055},[726],[120,38057,38059],{"className":38058},[731],[120,38060,38062],{"className":38061,"style":5913},[735],[120,38063,38064,38067],{"style":5916},[120,38065],{"className":38066,"style":1133},[743],[120,38068,38070],{"className":38069},[748,749,750,751],[120,38071,38073],{"className":38072},[175,751],[120,38074,38076,38165],{"className":38075},[175,751],[120,38077,38079,38082],{"className":38078},[175,751],[120,38080,669],{"className":38081},[175,751],[120,38083,38085,38091,38159],{"className":38084},[2781,751],[120,38086,38088],{"className":38087,"style":5942},[181,748,958,5941,751,2785],[120,38089,146],{"className":38090},[751],[120,38092,38094,38097,38156],{"className":38093},[175,751],[120,38095],{"className":38096},[181,1113,748,958,5941],[120,38098,38100],{"className":38099},[1043],[120,38101,38103,38148],{"className":38102},[726,727],[120,38104,38106,38145],{"className":38105},[731],[120,38107,38109,38123,38131],{"className":38108,"style":5964},[735],[120,38110,38111,38114],{"style":5967},[120,38112],{"className":38113,"style":1133},[743],[120,38115,38117],{"className":38116},[748,958,959,751],[120,38118,38120],{"className":38119},[175,751],[120,38121,5580],{"className":38122,"style":5677},[175,176,751],[120,38124,38125,38128],{"style":5982},[120,38126],{"className":38127,"style":1133},[743],[120,38129],{"className":38130,"style":5989},[1155,751],[120,38132,38133,38136],{"style":5992},[120,38134],{"className":38135,"style":1133},[743],[120,38137,38139],{"className":38138},[748,958,959,751],[120,38140,38142],{"className":38141},[175,751],[120,38143,149],{"className":38144},[175,176,751],[120,38146,762],{"className":38147},[761],[120,38149,38151],{"className":38150},[731],[120,38152,38154],{"className":38153,"style":6014},[735],[120,38155],{},[120,38157],{"className":38158},[188,1113,748,958,5941],[120,38160,38162],{"className":38161,"style":5942},[188,748,958,5941,751,2785],[120,38163,152],{"className":38164},[751],[120,38166,38168],{"className":38167},[722],[120,38169,38171],{"className":38170},[726],[120,38172,38174],{"className":38173},[731],[120,38175,38177],{"className":38176,"style":6038},[735],[120,38178,38179,38182],{"style":6041},[120,38180],{"className":38181,"style":954},[743],[120,38183,38185],{"className":38184},[748,958,959,751],[120,38186,38188],{"className":38187},[175,751],[120,38189,5525],{"className":38190,"style":5542},[175,176,751],[21,38192,38193],{},"CDF：",[21,38195,38196],{},[120,38197,38199,38256],{"className":38198},[123],[120,38200,38202],{"className":38201},[127],[129,38203,38204],{"xmlns":131},[133,38205,38206,38254],{},[136,38207,38208,38210,38212,38214,38216,38218,38220,38222,38224,38226,38228,38230],{},[139,38209,300],{},[143,38211,146],{"stretchy":145},[139,38213,149],{},[143,38215,5572],{"separator":162},[139,38217,5525],{},[143,38219,5577],{"separator":162},[139,38221,5580],{},[143,38223,152],{"stretchy":145},[143,38225,358],{},[360,38227,1294],{},[143,38229,669],{},[3621,38231,38232,38234],{},[139,38233,3629],{},[136,38235,38236,38238],{},[143,38237,669],{},[3621,38239,38240,38252],{},[136,38241,38242,38244,38250],{},[143,38243,146],{"fence":162},[1043,38245,38246,38248],{},[139,38247,149],{},[139,38249,5580],{},[143,38251,152],{"fence":162},[139,38253,5525],{},[154,38255,6612],{"encoding":156},[120,38257,38259,38304,38322],{"className":38258,"ariaHidden":162},[161],[120,38260,38262,38265,38268,38271,38274,38277,38280,38283,38286,38289,38292,38295,38298,38301],{"className":38261},[166],[120,38263],{"className":38264,"style":171},[170],[120,38266,300],{"className":38267},[175,176],[120,38269,146],{"className":38270},[181],[120,38272,149],{"className":38273},[175,176],[120,38275,5572],{"className":38276},[5661],[120,38278],{"className":38279,"style":993},[398],[120,38281,5525],{"className":38282,"style":5542},[175,176],[120,38284,5577],{"className":38285},[5661],[120,38287],{"className":38288,"style":993},[398],[120,38290,5580],{"className":38291,"style":5677},[175,176],[120,38293,152],{"className":38294},[188],[120,38296],{"className":38297,"style":399},[398],[120,38299,358],{"className":38300},[403],[120,38302],{"className":38303,"style":399},[398],[120,38305,38307,38310,38313,38316,38319],{"className":38306},[166],[120,38308],{"className":38309,"style":1345},[170],[120,38311,1294],{"className":38312},[175],[120,38314],{"className":38315,"style":1352},[398],[120,38317,669],{"className":38318},[1356],[120,38320],{"className":38321,"style":1352},[398],[120,38323,38325,38328],{"className":38324},[166],[120,38326],{"className":38327,"style":5913},[170],[120,38329,38331,38334],{"className":38330},[175],[120,38332,3629],{"className":38333},[175,176],[120,38335,38337],{"className":38336},[722],[120,38338,38340],{"className":38339},[726],[120,38341,38343],{"className":38342},[731],[120,38344,38346],{"className":38345,"style":5913},[735],[120,38347,38348,38351],{"style":5916},[120,38349],{"className":38350,"style":1133},[743],[120,38352,38354],{"className":38353},[748,749,750,751],[120,38355,38357,38360],{"className":38356},[175,751],[120,38358,669],{"className":38359},[175,751],[120,38361,38363,38446],{"className":38362},[2781,751],[120,38364,38366,38372,38440],{"className":38365},[2781,751],[120,38367,38369],{"className":38368,"style":5942},[181,748,958,5941,751,2785],[120,38370,146],{"className":38371},[751],[120,38373,38375,38378,38437],{"className":38374},[175,751],[120,38376],{"className":38377},[181,1113,748,958,5941],[120,38379,38381],{"className":38380},[1043],[120,38382,38384,38429],{"className":38383},[726,727],[120,38385,38387,38426],{"className":38386},[731],[120,38388,38390,38404,38412],{"className":38389,"style":5964},[735],[120,38391,38392,38395],{"style":5967},[120,38393],{"className":38394,"style":1133},[743],[120,38396,38398],{"className":38397},[748,958,959,751],[120,38399,38401],{"className":38400},[175,751],[120,38402,5580],{"className":38403,"style":5677},[175,176,751],[120,38405,38406,38409],{"style":5982},[120,38407],{"className":38408,"style":1133},[743],[120,38410],{"className":38411,"style":5989},[1155,751],[120,38413,38414,38417],{"style":5992},[120,38415],{"className":38416,"style":1133},[743],[120,38418,38420],{"className":38419},[748,958,959,751],[120,38421,38423],{"className":38422},[175,751],[120,38424,149],{"className":38425},[175,176,751],[120,38427,762],{"className":38428},[761],[120,38430,38432],{"className":38431},[731],[120,38433,38435],{"className":38434,"style":6014},[735],[120,38436],{},[120,38438],{"className":38439},[188,1113,748,958,5941],[120,38441,38443],{"className":38442,"style":5942},[188,748,958,5941,751,2785],[120,38444,152],{"className":38445},[751],[120,38447,38449],{"className":38448},[722],[120,38450,38452],{"className":38451},[726],[120,38453,38455],{"className":38454},[731],[120,38456,38458],{"className":38457,"style":6038},[735],[120,38459,38460,38463],{"style":6041},[120,38461],{"className":38462,"style":954},[743],[120,38464,38466],{"className":38465},[748,958,959,751],[120,38467,38469],{"className":38468},[175,751],[120,38470,5525],{"className":38471,"style":5542},[175,176,751],[21,38473,38474],{},"可靠度：",[21,38476,38477],{},[120,38478,38480,38534],{"className":38479},[123],[120,38481,38483],{"className":38482},[127],[129,38484,38485],{"xmlns":131},[133,38486,38487,38531],{},[136,38488,38489,38491,38493,38495,38497,38499,38501,38503,38505,38507],{},[139,38490,1283],{},[143,38492,146],{"stretchy":145},[139,38494,149],{},[143,38496,5572],{"separator":162},[139,38498,5525],{},[143,38500,5577],{"separator":162},[139,38502,5580],{},[143,38504,152],{"stretchy":145},[143,38506,358],{},[3621,38508,38509,38511],{},[139,38510,3629],{},[136,38512,38513,38515],{},[143,38514,669],{},[3621,38516,38517,38529],{},[136,38518,38519,38521,38527],{},[143,38520,146],{"fence":162},[1043,38522,38523,38525],{},[139,38524,149],{},[139,38526,5580],{},[143,38528,152],{"fence":162},[139,38530,5525],{},[154,38532,38533],{"encoding":156},"R(t;\\beta,\\eta) = e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}",[120,38535,38537,38582],{"className":38536,"ariaHidden":162},[161],[120,38538,38540,38543,38546,38549,38552,38555,38558,38561,38564,38567,38570,38573,38576,38579],{"className":38539},[166],[120,38541],{"className":38542,"style":171},[170],[120,38544,1283],{"className":38545,"style":1320},[175,176],[120,38547,146],{"className":38548},[181],[120,38550,149],{"className":38551},[175,176],[120,38553,5572],{"className":38554},[5661],[120,38556],{"className":38557,"style":993},[398],[120,38559,5525],{"className":38560,"style":5542},[175,176],[120,38562,5577],{"className":38563},[5661],[120,38565],{"className":38566,"style":993},[398],[120,38568,5580],{"className":38569,"style":5677},[175,176],[120,38571,152],{"className":38572},[188],[120,38574],{"className":38575,"style":399},[398],[120,38577,358],{"className":38578},[403],[120,38580],{"className":38581,"style":399},[398],[120,38583,38585,38588],{"className":38584},[166],[120,38586],{"className":38587,"style":5913},[170],[120,38589,38591,38594],{"className":38590},[175],[120,38592,3629],{"className":38593},[175,176],[120,38595,38597],{"className":38596},[722],[120,38598,38600],{"className":38599},[726],[120,38601,38603],{"className":38602},[731],[120,38604,38606],{"className":38605,"style":5913},[735],[120,38607,38608,38611],{"style":5916},[120,38609],{"className":38610,"style":1133},[743],[120,38612,38614],{"className":38613},[748,749,750,751],[120,38615,38617,38620],{"className":38616},[175,751],[120,38618,669],{"className":38619},[175,751],[120,38621,38623,38706],{"className":38622},[2781,751],[120,38624,38626,38632,38700],{"className":38625},[2781,751],[120,38627,38629],{"className":38628,"style":5942},[181,748,958,5941,751,2785],[120,38630,146],{"className":38631},[751],[120,38633,38635,38638,38697],{"className":38634},[175,751],[120,38636],{"className":38637},[181,1113,748,958,5941],[120,38639,38641],{"className":38640},[1043],[120,38642,38644,38689],{"className":38643},[726,727],[120,38645,38647,38686],{"className":38646},[731],[120,38648,38650,38664,38672],{"className":38649,"style":5964},[735],[120,38651,38652,38655],{"style":5967},[120,38653],{"className":38654,"style":1133},[743],[120,38656,38658],{"className":38657},[748,958,959,751],[120,38659,38661],{"className":38660},[175,751],[120,38662,5580],{"className":38663,"style":5677},[175,176,751],[120,38665,38666,38669],{"style":5982},[120,38667],{"className":38668,"style":1133},[743],[120,38670],{"className":38671,"style":5989},[1155,751],[120,38673,38674,38677],{"style":5992},[120,38675],{"className":38676,"style":1133},[743],[120,38678,38680],{"className":38679},[748,958,959,751],[120,38681,38683],{"className":38682},[175,751],[120,38684,149],{"className":38685},[175,176,751],[120,38687,762],{"className":38688},[761],[120,38690,38692],{"className":38691},[731],[120,38693,38695],{"className":38694,"style":6014},[735],[120,38696],{},[120,38698],{"className":38699},[188,1113,748,958,5941],[120,38701,38703],{"className":38702,"style":5942},[188,748,958,5941,751,2785],[120,38704,152],{"className":38705},[751],[120,38707,38709],{"className":38708},[722],[120,38710,38712],{"className":38711},[726],[120,38713,38715],{"className":38714},[731],[120,38716,38718],{"className":38717,"style":6038},[735],[120,38719,38720,38723],{"style":6041},[120,38721],{"className":38722,"style":954},[743],[120,38724,38726],{"className":38725},[748,958,959,751],[120,38727,38729],{"className":38728},[175,751],[120,38730,5525],{"className":38731,"style":5542},[175,176,751],[21,38733,38734],{},"对数似然函数：",[21,38736,38737],{},[120,38738,38740,38894],{"className":38739},[123],[120,38741,38743],{"className":38742},[127],[129,38744,38745],{"xmlns":131},[133,38746,38747,38891],{},[136,38748,38749],{},[38750,38751,38753,38755,38757,38759,38761,38784,38786,38788,38790,38812,38814,38816,38818,38820,38822,38845,38847,38849,38851],"mstyle",{"mathsize":38752},"0.9em",[139,38754,36607],{"mathvariant":672},[143,38756,358],{},[139,38758,13288],{},[139,38760,9521],{},[136,38762,38763,38765,38767,38769,38772,38774,38776,38778,38780,38782],{},[143,38764,146],{"fence":162},[139,38766,141],{},[143,38768,146],{"stretchy":145},[360,38770,38771],{},"20",[143,38773,5572],{"separator":162},[139,38775,5525],{},[143,38777,5577],{"separator":162},[139,38779,5580],{},[143,38781,152],{"stretchy":145},[143,38783,152],{"fence":162},[143,38785,2646],{},[139,38787,13288],{},[139,38789,9521],{},[136,38791,38792,38794,38796,38798,38800,38802,38804,38806,38808,38810],{},[143,38793,146],{"fence":162},[139,38795,141],{},[143,38797,146],{"stretchy":145},[360,38799,25901],{},[143,38801,5572],{"separator":162},[139,38803,5525],{},[143,38805,5577],{"separator":162},[139,38807,5580],{},[143,38809,152],{"stretchy":145},[143,38811,152],{"fence":162},[143,38813,2646],{},[360,38815,9849],{},[143,38817,2669],{},[139,38819,13288],{},[139,38821,9521],{},[136,38823,38824,38826,38828,38830,38833,38835,38837,38839,38841,38843],{},[143,38825,146],{"fence":162},[139,38827,1283],{},[143,38829,146],{"stretchy":145},[360,38831,38832],{},"40",[143,38834,5572],{"separator":162},[139,38836,5525],{},[143,38838,5577],{"separator":162},[139,38840,5580],{},[143,38842,152],{"stretchy":145},[143,38844,152],{"fence":162},[143,38846,2646],{},[139,38848,13288],{},[139,38850,9521],{},[136,38852,38853,38855,38857,38859,38861,38863,38865,38867,38869,38871,38873,38875,38877,38879,38881,38883,38885,38887,38889],{},[143,38854,3855],{"fence":162},[139,38856,253],{},[143,38858,146],{"stretchy":145},[360,38860,25901],{},[143,38862,5572],{"separator":162},[139,38864,5525],{},[143,38866,5577],{"separator":162},[139,38868,5580],{},[143,38870,152],{"stretchy":145},[143,38872,669],{},[139,38874,253],{},[143,38876,146],{"stretchy":145},[360,38878,25346],{},[143,38880,5572],{"separator":162},[139,38882,5525],{},[143,38884,5577],{"separator":162},[139,38886,5580],{},[143,38888,152],{"stretchy":145},[143,38890,3874],{"fence":162},[154,38892,38893],{"encoding":156},"\\small\\Lambda = ln\\left( f(20;\\beta,\\eta) \\right) + ln\\left( f(30;\\beta,\\eta) \\right) + 2 \\times ln\\left( R(40;\\beta,\\eta) \\right) + ln\\left\\lbrack F(30;\\beta,\\eta) - F(50;\\beta,\\eta) \\right\\rbrack",[120,38895,38897,38917,38983,39046,39065,39128],{"className":38896,"ariaHidden":162},[161],[120,38898,38900,38904,38908,38911,38914],{"className":38899},[166],[120,38901],{"className":38902,"style":38903},[170],"height:0.615em;",[120,38905,36607],{"className":38906},[175,748,749,38907],"size5",[120,38909],{"className":38910,"style":399},[398],[120,38912,358],{"className":38913},[403,748,749,38907],[120,38915],{"className":38916,"style":399},[398],[120,38918,38920,38924,38927,38930,38933,38974,38977,38980],{"className":38919},[166],[120,38921],{"className":38922,"style":38923},[170],"height:1em;vertical-align:-0.2725em;",[120,38925,13288],{"className":38926,"style":13717},[175,176,748,749,38907],[120,38928,9521],{"className":38929},[175,176,748,749,38907],[120,38931],{"className":38932,"style":993},[398],[120,38934,38936,38941,38944,38947,38950,38953,38956,38959,38962,38965,38968,38971],{"className":38935},[2781,748,749,38907],[120,38937,146],{"className":38938,"style":38940},[181,748,38939,5941,2785],"reset-size5","top:0.025em;",[120,38942,141],{"className":38943,"style":177},[175,176],[120,38945,146],{"className":38946},[181],[120,38948,38771],{"className":38949},[175],[120,38951,5572],{"className":38952},[5661],[120,38954],{"className":38955,"style":993},[398],[120,38957,5525],{"className":38958,"style":5542},[175,176],[120,38960,5577],{"className":38961},[5661],[120,38963],{"className":38964,"style":993},[398],[120,38966,5580],{"className":38967,"style":5677},[175,176],[120,38969,152],{"className":38970},[188],[120,38972,152],{"className":38973,"style":38940},[188,748,38939,5941,2785],[120,38975],{"className":38976,"style":1352},[398],[120,38978,2646],{"className":38979},[1356,748,749,38907],[120,38981],{"className":38982,"style":1352},[398],[120,38984,38986,38989,38992,38995,38998,39037,39040,39043],{"className":38985},[166],[120,38987],{"className":38988,"style":38923},[170],[120,38990,13288],{"className":38991,"style":13717},[175,176,748,749,38907],[120,38993,9521],{"className":38994},[175,176,748,749,38907],[120,38996],{"className":38997,"style":993},[398],[120,38999,39001,39004,39007,39010,39013,39016,39019,39022,39025,39028,39031,39034],{"className":39000},[2781,748,749,38907],[120,39002,146],{"className":39003,"style":38940},[181,748,38939,5941,2785],[120,39005,141],{"className":39006,"style":177},[175,176],[120,39008,146],{"className":39009},[181],[120,39011,25901],{"className":39012},[175],[120,39014,5572],{"className":39015},[5661],[120,39017],{"className":39018,"style":993},[398],[120,39020,5525],{"className":39021,"style":5542},[175,176],[120,39023,5577],{"className":39024},[5661],[120,39026],{"className":39027,"style":993},[398],[120,39029,5580],{"className":39030,"style":5677},[175,176],[120,39032,152],{"className":39033},[188],[120,39035,152],{"className":39036,"style":38940},[188,748,38939,5941,2785],[120,39038],{"className":39039,"style":1352},[398],[120,39041,2646],{"className":39042},[1356,748,749,38907],[120,39044],{"className":39045,"style":1352},[398],[120,39047,39049,39053,39056,39059,39062],{"className":39048},[166],[120,39050],{"className":39051,"style":39052},[170],"height:0.655em;vertical-align:-0.075em;",[120,39054,9849],{"className":39055},[175,748,749,38907],[120,39057],{"className":39058,"style":1352},[398],[120,39060,2669],{"className":39061},[1356,748,749,38907],[120,39063],{"className":39064,"style":1352},[398],[120,39066,39068,39071,39074,39077,39080,39119,39122,39125],{"className":39067},[166],[120,39069],{"className":39070,"style":38923},[170],[120,39072,13288],{"className":39073,"style":13717},[175,176,748,749,38907],[120,39075,9521],{"className":39076},[175,176,748,749,38907],[120,39078],{"className":39079,"style":993},[398],[120,39081,39083,39086,39089,39092,39095,39098,39101,39104,39107,39110,39113,39116],{"className":39082},[2781,748,749,38907],[120,39084,146],{"className":39085,"style":38940},[181,748,38939,5941,2785],[120,39087,1283],{"className":39088,"style":1320},[175,176],[120,39090,146],{"className":39091},[181],[120,39093,38832],{"className":39094},[175],[120,39096,5572],{"className":39097},[5661],[120,39099],{"className":39100,"style":993},[398],[120,39102,5525],{"className":39103,"style":5542},[175,176],[120,39105,5577],{"className":39106},[5661],[120,39108],{"className":39109,"style":993},[398],[120,39111,5580],{"className":39112,"style":5677},[175,176],[120,39114,152],{"className":39115},[188],[120,39117,152],{"className":39118,"style":38940},[188,748,38939,5941,2785],[120,39120],{"className":39121,"style":1352},[398],[120,39123,2646],{"className":39124},[1356,748,749,38907],[120,39126],{"className":39127,"style":1352},[398],[120,39129,39131,39134,39137,39140,39143],{"className":39130},[166],[120,39132],{"className":39133,"style":38923},[170],[120,39135,13288],{"className":39136,"style":13717},[175,176,748,749,38907],[120,39138,9521],{"className":39139},[175,176,748,749,38907],[120,39141],{"className":39142,"style":993},[398],[120,391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= \\left\\lbrack \\ln\\left( \\frac{\\beta}{\\eta} \\right) + (\\beta - 1)\\ln(20) - \\left( \\frac{20}{\\eta} \\right)^{\\beta} \\right\\rbrack + \\left\\lbrack \\ln\\left( \\frac{\\beta}{\\eta} \\right) + (\\beta - 1)\\ln(30) - \\left( \\frac{30}{\\eta} \\right)^{\\beta} \\right\\rbrack 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2\\left( \\frac{40}{\\eta} \\right)^{\\beta} + ln\\left( e^{- \\left( \\frac{30}{\\eta} \\right)^{\\beta}} - e^{- \\left( \\frac{50}{\\eta} \\right)^{\\beta}} \\right)",[120,40065,40067,40204],{"className":40066,"ariaHidden":162},[161],[120,40068,40070,40074,40077,40080,40083,40195,40198,40201],{"className":40069},[166],[120,40071],{"className":40072,"style":40073},[170],"height:1.3749em;vertical-align:-0.4272em;",[120,40075,669],{"className":40076},[175,748,749,38907],[120,40078,9849],{"className":40079},[175,748,749,38907],[120,40081],{"className":40082,"style":993},[398],[120,40084,40086,40169],{"className":40085},[2781,748,749,38907],[120,40087,40089,40095,40163],{"className":40088},[2781],[120,40090,40092],{"className":40091,"style":38940},[181,748,38939,5941,2785],[120,40093,146],{"className":40094},[2790,959],[120,40096,40098,40101,40160],{"className":40097},[175],[120,40099],{"className":40100},[181,1113,748,38939,5941],[120,40102,40104],{"className":40103},[1043],[120,40105,40107,40152],{"className":40106},[726,727],[120,40108,40110,40149],{"className":40109},[731],[120,40111,40113,40127,40135],{"className":40112,"style":39586},[735],[120,40114,40115,40118],{"style":1129},[120,40116],{"className":40117,"style":1133},[743],[120,40119,40121],{"className":40120},[748,38939,3472,751],[120,40122,40124],{"className":40123},[175,751],[120,40125,5580],{"className":40126,"style":5677},[175,176,751],[120,40128,40129,40132],{"style":1148},[120,40130],{"className":40131,"style":1133},[743],[120,40133],{"className":40134,"style":1156},[1155],[120,40136,40137,40140],{"style":1879},[120,40138],{"className":40139,"style":1133},[743],[120,40141,40143],{"className":40142},[748,38939,3472,751],[120,40144,40146],{"className":40145},[175,751],[120,40147,38832],{"className":40148},[175,751],[120,40150,762],{"className":40151},[761],[120,40153,40155],{"className":40154},[731],[120,40156,40158],{"className":40157,"style":39490},[735],[120,40159],{},[120,40161],{"className":40162},[188,1113,748,38939,5941],[120,40164,40166],{"className":40165,"style":38940},[188,748,38939,5941,2785],[120,40167,152],{"className":40168},[2790,959],[120,40170,40172],{"className":40171},[722],[120,40173,40175],{"className":40174},[726],[120,40176,40178],{"className":40177},[731],[120,40179,40181],{"className":40180,"style":39655},[735],[120,40182,40183,40186],{"style":39658},[120,40184],{"className":40185,"style":39662},[743],[120,40187,40189],{"className":40188},[748,38939,3472,751],[120,40190,40192],{"className":40191},[175,751],[120,40193,5525],{"className":40194,"style":5542},[175,176,751],[120,40196],{"className":40197,"style":1352},[398],[120,40199,2646],{"className":40200},[1356,748,749,38907],[120,40202],{"className":40203,"style":1352},[398],[120,40205,40207,40211,40214,40217,40220],{"className":40206},[166],[120,40208],{"className":40209,"style":40210},[170],"height:2.4em;vertical-align:-0.9725em;",[120,40212,13288],{"className":40213,"style":13717},[175,176,748,749,38907],[120,40215,9521],{"className":40216},[175,176,748,749,38907],[120,40218],{"className":40219,"style":993},[398],[120,40221,40223,40229,40390,40393,40396,40399,40549],{"className":40222},[2781,748,749,38907],[120,40224,40226],{"className":40225,"style":38940},[181,748,38939,5941,2785],[120,40227,146],{"className":40228},[2790,750],[120,40230,40232,40235],{"className":40231},[175],[120,40233,3629],{"className":40234},[175,176],[120,40236,40238],{"className":40237},[722],[120,40239,40241],{"className":40240},[726],[120,40242,40244],{"className":40243},[731],[120,40245,40248],{"className":40246,"style":40247},[735],"height:1.5596em;",[120,40249,40251,40254],{"style":40250},"top:-3.5704em;margin-right:0.0556em;",[120,40252],{"className":40253,"style":1133},[743],[120,40255,40257],{"className":40256},[748,38939,3472,751],[120,40258,40260,40263],{"className":40259},[175,751],[120,40261,669],{"className":40262},[175,751],[120,40264,40266,40361],{"className":40265},[2781,751],[120,40267,40269,40280,40352],{"className":40268},[2781,751],[120,40270,40274],{"className":40271,"style":40273},[181,748,40272,5941,751,2785],"reset-size2","top:0.1em;",[120,40275,40277],{"className":40276},[2790,959,751],[120,40278,146],{"className":40279},[751],[120,40281,40283,40286,40349],{"className":40282},[175,751],[120,40284],{"className":40285},[181,1113,748,40272,5941],[120,40287,40289],{"className":40288},[1043],[120,40290,40292,40340],{"className":40291},[726,727],[120,40293,40295,40337],{"className":40294},[731],[120,40296,40299,40314,40322],{"className":40297,"style":40298},[735],"height:0.924em;",[120,40300,40302,40305],{"style":40301},"top:-2.468em;",[120,40303],{"className":40304,"style":1133},[743],[120,40306,40308],{"className":40307},[748,40272,959,751],[120,40309,40311],{"className":40310},[175,751],[120,40312,5580],{"className":40313,"style":5677},[175,176,751],[120,40315,40316,40319],{"style":5982},[120,40317],{"className":40318,"style":1133},[743],[120,40320],{"className":40321,"style":5989},[1155,751],[120,40323,40325,40328],{"style":40324},"top:-3.387em;",[120,40326],{"className":40327,"style":1133},[743],[120,40329,40331],{"className":40330},[748,40272,959,751],[120,40332,40334],{"className":40333},[175,751],[120,40335,25901],{"className":40336},[175,751],[120,40338,762],{"className":40339},[761],[120,40341,40343],{"className":40342},[731],[120,40344,40347],{"className":40345,"style":40346},[735],"height:0.694em;",[120,40348],{},[120,40350],{"className":40351},[188,1113,748,40272,5941],[120,40353,40355],{"className":40354,"style":40273},[188,748,40272,5941,751,2785],[120,40356,40358],{"className":40357},[2790,959,751],[120,40359,152],{"className":40360},[751],[120,40362,40364],{"className":40363},[722],[120,40365,40367],{"className":40366},[726],[120,40368,40370],{"className":40369},[731],[120,40371,40374],{"className":40372,"style":40373},[735],"height:1.4837em;",[120,40375,40377,40381],{"style":40376},"top:-3.4837em;margin-right:0.0833em;",[120,40378],{"className":40379,"style":40380},[743],"height:2.5787em;",[120,40382,40384],{"className":40383},[748,40272,959,751],[120,40385,40387],{"className":40386},[175,751],[120,40388,5525],{"className":40389,"style":5542},[175,176,751],[120,40391],{"className":40392,"style":1352},[398],[120,40394,669],{"className":40395},[1356],[120,40397],{"className":40398,"style":1352},[398],[120,40400,40402,40405],{"className":40401},[175],[120,40403,3629],{"className":40404},[175,176],[120,40406,40408],{"className":40407},[722],[120,40409,40411],{"className":40410},[726],[120,40412,40414],{"className":40413},[731],[120,40415,40417],{"className":40416,"style":40247},[735],[120,40418,40419,40422],{"style":40250},[120,40420],{"className":40421,"style":1133},[743],[120,40423,40425],{"className":40424},[748,38939,3472,751],[120,40426,40428,40431],{"className":40427},[175,751],[120,40429,669],{"className":40430},[175,751],[120,40432,40434,40523],{"className":40433},[2781,751],[120,40435,40437,40446,40514],{"className":40436},[2781,751],[120,40438,40440],{"className":40439,"style":40273},[181,748,40272,5941,751,2785],[120,40441,40443],{"className":40442},[2790,959,751],[120,40444,146],{"className":40445},[751],[120,40447,40449,40452,40511],{"className":40448},[175,751],[120,40450],{"className":40451},[181,1113,748,40272,5941],[120,40453,40455],{"className":40454},[1043],[120,40456,40458,40503],{"className":40457},[726,727],[120,40459,40461,40500],{"className":40460},[731],[120,40462,40464,40478,40486],{"className":40463,"style":40298},[735],[120,40465,40466,40469],{"style":40301},[120,40467],{"className":40468,"style":1133},[743],[120,40470,40472],{"className":40471},[748,40272,959,751],[120,40473,40475],{"className":40474},[175,751],[120,40476,5580],{"className":40477,"style":5677},[175,176,751],[120,40479,40480,40483],{"style":5982},[120,40481],{"className":40482,"style":1133},[743],[120,40484],{"className":40485,"style":5989},[1155,751],[120,40487,40488,40491],{"style":40324},[120,40489],{"className":40490,"style":1133},[743],[120,40492,40494],{"className":40493},[748,40272,959,751],[120,40495,40497],{"className":40496},[175,751],[120,40498,25346],{"className":40499},[175,751],[120,40501,762],{"className":40502},[761],[120,40504,40506],{"className":40505},[731],[120,40507,40509],{"className":40508,"style":40346},[735],[120,40510],{},[120,40512],{"className":40513},[188,1113,748,40272,5941],[120,40515,40517],{"className":40516,"style":40273},[188,748,40272,5941,751,2785],[120,40518,40520],{"className":40519},[2790,959,751],[120,40521,152],{"className":40522},[751],[120,40524,40526],{"className":40525},[722],[120,40527,40529],{"className":40528},[726],[120,40530,40532],{"className":40531},[731],[120,40533,40535],{"className":40534,"style":40373},[735],[120,40536,40537,40540],{"style":40376},[120,40538],{"className":40539,"style":40380},[743],[120,40541,40543],{"className":40542},[748,40272,959,751],[120,40544,40546],{"className":40545},[175,751],[120,40547,5525],{"className":40548,"style":5542},[175,176,751],[120,40550,40552],{"className":40551,"style":38940},[188,748,38939,5941,2785],[120,40553,152],{"className":40554},[2790,750],[21,40556,40557,40558,6088,40586,40614,40615,40643,40644,6088,40672,40700],{},"上述对数似然是 ",[120,40559,40561,40574],{"className":40560},[123],[120,40562,40564],{"className":40563},[127],[129,40565,40566],{"xmlns":131},[133,40567,40568,40572],{},[136,40569,40570],{},[139,40571,5525],{},[154,40573,5528],{"encoding":156},[120,40575,40577],{"className":40576,"ariaHidden":162},[161],[120,40578,40580,40583],{"className":40579},[166],[120,40581],{"className":40582,"style":5538},[170],[120,40584,5525],{"className":40585,"style":5542},[175,176],[120,40587,40589,40602],{"className":40588},[123],[120,40590,40592],{"className":40591},[127],[129,40593,40594],{"xmlns":131},[133,40595,40596,40600],{},[136,40597,40598],{},[139,40599,5580],{},[154,40601,6105],{"encoding":156},[120,40603,40605],{"className":40604,"ariaHidden":162},[161],[120,40606,40608,40611],{"className":40607},[166],[120,40609],{"className":40610,"style":6115},[170],[120,40612,5580],{"className":40613,"style":5677},[175,176]," 的函数。MLE 求取使 ",[120,40616,40618,40631],{"className":40617},[123],[120,40619,40621],{"className":40620},[127],[129,40622,40623],{"xmlns":131},[133,40624,40625,40629],{},[136,40626,40627],{},[139,40628,36607],{"mathvariant":672},[154,40630,37658],{"encoding":156},[120,40632,40634],{"className":40633,"ariaHidden":162},[161],[120,40635,40637,40640],{"className":40636},[166],[120,40638],{"className":40639,"style":1540},[170],[120,40641,36607],{"className":40642},[175]," 最大的 ",[120,40645,40647,40660],{"className":40646},[123],[120,40648,40650],{"className":40649},[127],[129,40651,40652],{"xmlns":131},[133,40653,40654,40658],{},[136,40655,40656],{},[139,40657,5525],{},[154,40659,5528],{"encoding":156},[120,40661,40663],{"className":40662,"ariaHidden":162},[161],[120,40664,40666,40669],{"className":40665},[166],[120,40667],{"className":40668,"style":5538},[170],[120,40670,5525],{"className":40671,"style":5542},[175,176],[120,40673,40675,40688],{"className":40674},[123],[120,40676,40678],{"className":40677},[127],[129,40679,40680],{"xmlns":131},[133,40681,40682,40686],{},[136,40683,40684],{},[139,40685,5580],{},[154,40687,6105],{"encoding":156},[120,40689,40691],{"className":40690,"ariaHidden":162},[161],[120,40692,40694,40697],{"className":40693},[166],[120,40695],{"className":40696,"style":6115},[170],[120,40698,5580],{"className":40699,"style":5677},[175,176],"。由于该函数通常为非线性且较复杂，需要使用数值优化方法。Weibull Toolbox 使用 Nelder–Mead 优化方法求解。",[62,40702],{"src":40703,"alt":40704,"width":3532},"/media/image42.png","将威布尔分布拟合至示例数据",[21,40706,40704],{},[21,40708,40709,40710,40762,40763,40815],{},"本例得到 ",[120,40711,40713,40732],{"className":40712},[123],[120,40714,40716],{"className":40715},[127],[129,40717,40718],{"xmlns":131},[133,40719,40720,40729],{},[136,40721,40722,40724,40726],{},[139,40723,5525],{},[143,40725,358],{},[360,40727,40728],{},"3.37",[154,40730,40731],{"encoding":156},"\\beta=3.37",[120,40733,40735,40753],{"className":40734,"ariaHidden":162},[161],[120,40736,40738,40741,40744,40747,40750],{"className":40737},[166],[120,40739],{"className":40740,"style":5538},[170],[120,40742,5525],{"className":40743,"style":5542},[175,176],[120,40745],{"className":40746,"style":399},[398],[120,40748,358],{"className":40749},[403],[120,40751],{"className":40752,"style":399},[398],[120,40754,40756,40759],{"className":40755},[166],[120,40757],{"className":40758,"style":447},[170],[120,40760,40728],{"className":40761},[175],"、",[120,40764,40766,40785],{"className":40765},[123],[120,40767,40769],{"className":40768},[127],[129,40770,40771],{"xmlns":131},[133,40772,40773,40782],{},[136,40774,40775,40777,40779],{},[139,40776,5580],{},[143,40778,358],{},[360,40780,40781],{},"41.9",[154,40783,40784],{"encoding":156},"\\eta=41.9",[120,40786,40788,40806],{"className":40787,"ariaHidden":162},[161],[120,40789,40791,40794,40797,40800,40803],{"className":40790},[166],[120,40792],{"className":40793,"style":6115},[170],[120,40795,5580],{"className":40796,"style":5677},[175,176],[120,40798],{"className":40799,"style":399},[398],[120,40801,358],{"className":40802},[403],[120,40804],{"className":40805,"style":399},[398],[120,40807,40809,40812],{"className":40808},[166],[120,40810],{"className":40811,"style":447},[170],[120,40813,40781],{"className":40814},[175],"。将其代回对数似然方程：",[21,40817,40818],{},[120,40819,40821,40969],{"className":40820},[123],[120,40822,40824],{"className":40823},[127],[129,40825,40826],{"xmlns":131},[133,40827,40828,40966],{},[136,40829,40830],{},[38750,40831,40832,40834,40836,40900,40902],{"mathsize":38752},[139,40833,36607],{"mathvariant":672},[143,40835,358],{},[136,40837,40838,40840,40842,40844,40856,40858,40870,40872,40874,40876,40878,40880,40882,40898],{},[143,40839,3855],{"fence":162},[139,40841,5230],{},[143,40843,5233],{},[136,40845,40846,40848,40854],{},[143,40847,146],{"fence":162},[1043,40849,40850,40852],{},[364,40851,40728],{},[364,40853,40781],{},[143,40855,152],{"fence":162},[143,40857,2646],{},[136,40859,40860,40862,40864,40866,40868],{},[143,40861,146],{"fence":162},[364,40863,40728],{},[143,40865,669],{},[360,40867,1294],{},[143,40869,152],{"fence":162},[139,40871,5230],{},[143,40873,5233],{},[143,40875,146],{"stretchy":145},[360,40877,38771],{},[143,40879,152],{"stretchy":145},[143,40881,669],{},[3621,40883,40884,40896],{},[136,40885,40886,40888,40894],{},[143,40887,146],{"fence":162},[1043,40889,40890,40892],{},[360,40891,38771],{},[364,40893,40781],{},[143,40895,152],{"fence":162},[364,40897,40728],{},[143,40899,3874],{"fence":162},[143,40901,2646],{},[136,40903,40904,40906,40908,40910,40922,40924,40936,40938,40940,40942,40944,40946,40948,40964],{},[143,40905,3855],{"fence":162},[139,40907,5230],{},[143,40909,5233],{},[136,40911,40912,40914,40920],{},[143,40913,146],{"fence":162},[1043,40915,40916,40918],{},[364,40917,40728],{},[364,40919,40781],{},[143,40921,152],{"fence":162},[143,40923,2646],{},[136,40925,40926,40928,40930,40932,40934],{},[143,40927,146],{"fence":162},[364,40929,40728],{},[143,40931,669],{},[360,40933,1294],{},[143,40935,152],{"fence":162},[139,40937,5230],{},[143,40939,5233],{},[143,40941,146],{"stretchy":145},[360,40943,25901],{},[143,40945,152],{"stretchy":145},[143,40947,669],{},[3621,40949,40950,40962],{},[136,40951,40952,40954,40960],{},[143,40953,146],{"fence":162},[1043,40955,40956,40958],{},[360,40957,25901],{},[364,40959,40781],{},[143,40961,152],{"fence":162},[364,40963,40728],{},[143,40965,3874],{"fence":162},[154,40967,40968],{"encoding":156},"\\small\\Lambda = \\left\\lbrack \\ln\\left( \\frac{\\text{3.37}}{\\text{41.9}} \\right) + \\left( \\text{3.37} - 1 \\right)\\ln(20) - \\left( \\frac{20}{\\text{41.9}} \\right)^{\\text{3.37}} \\right\\rbrack + \\left\\lbrack \\ln\\left( \\frac{\\text{3.37}}{\\text{41.9}} \\right) + \\left( \\text{3.37} - 1 \\right)\\ln(30) - \\left( \\frac{30}{\\text{41.9}} \\right)^{\\text{3.37}} \\right\\rbrack 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120,41515,762],{"className":41516},[761],[120,41518,41520],{"className":41519},[731],[120,41521,41523],{"className":41522,"style":1197},[735],[120,41524],{},[120,41526],{"className":41527},[188,1113,748,38939,5941],[120,41529,152],{"className":41530,"style":38940},[188,748,38939,5941,2785],[120,41532,41534],{"className":41533},[722],[120,41535,41537],{"className":41536},[726],[120,41538,41540],{"className":41539},[731],[120,41541,41543],{"className":41542,"style":41250},[735],[120,41544,41545,41548],{"style":41253},[120,41546],{"className":41547,"style":39662},[743],[120,41549,41551],{"className":41550},[748,38939,3472,751],[120,41552,41554],{"className":41553},[175,751],[120,41555,41557],{"className":41556},[175,419,751],[120,41558,40728],{"className":41559},[175,751],[120,41561,41563],{"className":41562,"style":38940},[188,748,38939,5941,2785],[120,41564,3874],{"className":41565},[2790,959],[120,41567,41569],{"className":41568},[1588],[120,41570,41572,41677],{"className":41571},[123],[120,41573,41575],{"className":41574},[127],[129,41576,41577],{"xmlns":131,"display":1597},[133,41578,41579,41674],{},[136,41580,41581],{},[38750,41582,41583,41585,41587,41603,41605,41607,41609,41665],{"mathsize":38752},[143,41584,669],{},[360,41586,9849],{},[3621,41588,41589,41601],{},[136,41590,41591,41593,41599],{},[143,41592,146],{"fence":162},[1043,41594,41595,41597],{},[360,41596,38832],{},[364,41598,40781],{},[143,41600,152],{"fence":162},[364,41602,40728],{},[143,41604,2646],{},[139,41606,13288],{},[139,41608,9521],{},[136,41610,41611,41613,41637,41639,41663],{},[143,41612,146],{"fence":162},[3621,41614,41615,41617],{},[139,41616,3629],{},[136,41618,41619,41621],{},[143,41620,669],{},[3621,41622,41623,41635],{},[136,41624,41625,41627,41633],{},[143,41626,146],{"fence":162},[1043,41628,41629,41631],{},[360,41630,25901],{},[364,41632,40781],{},[143,41634,152],{"fence":162},[364,41636,40728],{},[143,41638,669],{},[3621,41640,41641,41643],{},[139,41642,3629],{},[136,41644,41645,41647],{},[143,41646,669],{},[3621,41648,41649,41661],{},[136,41650,41651,41653,41659],{},[143,41652,146],{"fence":162},[1043,41654,41655,41657],{},[360,41656,25346],{},[364,41658,40781],{},[143,41660,152],{"fence":162},[364,41662,40728],{},[143,41664,152],{"fence":162},[136,41666,41667,41669,41671],{},[143,41668,358],{},[143,41670,669],{},[360,41672,41673],{},"10.28",[154,41675,41676],{"encoding":156},"\\small - 2\\left( \\frac{40}{\\text{41.9}} \\right)^{\\text{3.37}}+ ln\\left( e^{- \\left( \\frac{30}{\\text{41.9}} \\right)^{\\text{3.37}}} - e^{- \\left( \\frac{50}{\\text{41.9}} \\right)^{\\text{3.37}}} \\right)\n{= - 10.28}",[120,41678,41680,41819],{"className":41679,"ariaHidden":162},[161],[120,41681,41683,41687,41690,41693,41696,41810,41813,41816],{"className":41682},[166],[120,41684],{"className":41685,"style":41686},[170],"height:1.9521em;vertical-align:-0.6725em;",[120,41688,669],{"className":41689},[175,748,749,38907],[120,41691,9849],{"className":41692},[175,748,749,38907],[120,41694],{"className":41695,"style":993},[398],[120,41697,41699,41779],{"className":41698},[2781,748,749,38907],[120,41700,41702,41708,41773],{"className":41701},[2781],[120,41703,41705],{"className":41704,"style":38940},[181,748,38939,5941,2785],[120,41706,146],{"className":41707},[2790,3472],[120,41709,41711,41714,41770],{"className":41710},[175],[120,41712],{"className":41713},[181,1113,748,38939,5941],[120,41715,41717],{"className":41716},[1043],[120,41718,41720,41762],{"className":41719},[726,727],[120,41721,41723,41759],{"className":41722},[731],[120,41724,41726,41740,41748],{"className":41725,"style":5045},[735],[120,41727,41728,41731],{"style":1796},[120,41729],{"className":41730,"style":1133},[743],[120,41732,41734],{"className":41733},[175],[120,41735,41737],{"className":41736},[175,419],[120,41738,40781],{"className":41739},[175],[120,41741,41742,41745],{"style":1148},[120,41743],{"className":41744,"style":1133},[743],[120,41746],{"className":41747,"style":1156},[1155],[120,41749,41750,41753],{"style":1983},[120,41751],{"className":41752,"style":1133},[743],[120,41754,41756],{"className":41755},[175],[120,41757,38832],{"className":41758},[175],[120,41760,762],{"className":41761},[761],[120,41763,41765],{"className":41764},[731],[120,41766,41768],{"className":41767,"style":1919},[735],[120,41769],{},[120,41771],{"className":41772},[188,1113,748,38939,5941],[120,41774,41776],{"className":41775,"style":38940},[188,748,38939,5941,2785],[120,41777,152],{"className":41778},[2790,3472],[120,41780,41782],{"className":41781},[722],[120,41783,41785],{"className":41784},[726],[120,41786,41788],{"className":41787},[731],[120,41789,41792],{"className":41790,"style":41791},[735],"height:1.4217em;",[120,41793,41795,41798],{"style":41794},"top:-3.5921em;margin-right:0.0556em;",[120,41796],{"className":41797,"style":39662},[743],[120,41799,41801],{"className":41800},[748,38939,3472,751],[120,41802,41804],{"className":41803},[175,751],[120,41805,41807],{"className":41806},[175,419,751],[120,41808,40728],{"className":41809},[175,751],[120,41811],{"className":41812,"style":1352},[398],[120,41814,2646],{"className":41815},[1356,748,749,38907],[120,41817],{"className":41818,"style":1352},[398],[120,41820,41822,41826,41829,41832,41835,42165,42168],{"className":41821},[166],[120,41823],{"className":41824,"style":41825},[170],"height:1.8539em;vertical-align:-0.6725em;",[120,41827,13288],{"className":41828,"style":13717},[175,176,748,749,38907],[120,41830,9521],{"className":41831},[175,176,748,749,38907],[120,41833],{"className":41834,"style":993},[398],[120,41836,41838,41844,42000,42003,42006,42009,42159],{"className":41837},[2781,748,749,38907],[120,41839,41841],{"className":41840,"style":38940},[181,748,38939,5941,2785],[120,41842,146],{"className":41843},[2790,3472],[120,41845,41847,41850],{"className":41846},[175],[120,41848,3629],{"className":41849},[175,176],[120,41851,41853],{"className":41852},[722],[120,41854,41856],{"className":41855},[726],[120,41857,41859],{"className":41858},[731],[120,41860,41863],{"className":41861,"style":41862},[735],"height:1.3127em;",[120,41864,41866,41869],{"style":41865},"top:-3.4624em;margin-right:0.0556em;",[120,41867],{"className":41868,"style":1133},[743],[120,41870,41872],{"className":41871},[748,38939,3472,751],[120,41873,41875,41878],{"className":41874},[175,751],[120,41876,669],{"className":41877},[175,751],[120,41879,41881,41968],{"className":41880},[2781,751],[120,41882,41884,41890,41962],{"className":41883},[2781,751],[120,41885,41887],{"className":41886,"style":40273},[181,748,40272,5941,751,2785],[120,41888,146],{"className":41889},[751],[120,41891,41893,41896,41959],{"className":41892},[175,751],[120,41894],{"className":41895},[181,1113,748,40272,5941],[120,41897,41899],{"className":41898},[1043],[120,41900,41902,41950],{"className":41901},[726,727],[120,41903,41905,41947],{"className":41904},[731],[120,41906,41908,41925,41933],{"className":41907,"style":40298},[735],[120,41909,41910,41913],{"style":40301},[120,41911],{"className":41912,"style":1133},[743],[120,41914,41916],{"className":41915},[748,40272,959,751],[120,41917,41919],{"className":41918},[175,751],[120,41920,41922],{"className":41921},[175,419,751],[120,41923,40781],{"className":41924},[175,751],[120,41926,41927,41930],{"style":5982},[120,41928],{"className":41929,"style":1133},[743],[120,41931],{"className":41932,"style":5989},[1155,751],[120,41934,41935,41938],{"style":40324},[120,41936],{"className":41937,"style":1133},[743],[120,41939,41941],{"className":41940},[748,40272,959,751],[120,41942,41944],{"className":41943},[175,751],[120,41945,25901],{"className":41946},[175,751],[120,41948,762],{"className":41949},[761],[120,41951,41953],{"className":41952},[731],[120,41954,41957],{"className":41955,"style":41956},[735],"height:0.532em;",[120,41958],{},[120,41960],{"className":41961},[188,1113,748,40272,5941],[120,41963,41965],{"className":41964,"style":40273},[188,748,40272,5941,751,2785],[120,41966,152],{"className":41967},[751],[120,41969,41971],{"className":41970},[722],[120,41972,41974],{"className":41973},[726],[120,41975,41977],{"className":41976},[731],[120,41978,41981],{"className":41979,"style":41980},[735],"height:1.2754em;",[120,41982,41984,41988],{"style":41983},"top:-3.2754em;margin-right:0.0833em;",[120,41985],{"className":41986,"style":41987},[743],"height:2.537em;",[120,41989,41991],{"className":41990},[748,40272,959,751],[120,41992,41994],{"className":41993},[175,751],[120,41995,41997],{"className":41996},[175,419,751],[120,41998,40728],{"className":41999},[175,751],[120,42001],{"className":42002,"style":1352},[398],[120,42004,669],{"className":42005},[1356],[120,42007],{"className":42008,"style":1352},[398],[120,42010,42012,42015],{"className":42011},[175],[120,42013,3629],{"className":42014},[175,176],[120,42016,42018],{"className":42017},[722],[120,42019,42021],{"className":42020},[726],[120,42022,42024],{"className":42023},[731],[120,42025,42027],{"className":42026,"style":41862},[735],[120,42028,42029,42032],{"style":41865},[120,42030],{"className":42031,"style":1133},[743],[120,42033,42035],{"className":42034},[748,38939,3472,751],[120,42036,42038,42041],{"className":42037},[175,751],[120,42039,669],{"className":42040},[175,751],[120,42042,42044,42130],{"className":42043},[2781,751],[120,42045,42047,42053,42124],{"className":42046},[2781,751],[120,42048,42050],{"className":42049,"style":40273},[181,748,40272,5941,751,2785],[120,42051,146],{"className":42052},[751],[120,42054,42056,42059,42121],{"className":42055},[175,751],[120,42057],{"className":42058},[181,1113,748,40272,5941],[120,42060,42062],{"className":42061},[1043],[120,42063,42065,42113],{"className":42064},[726,727],[120,42066,42068,42110],{"className":42067},[731],[120,42069,42071,42088,42096],{"className":42070,"style":40298},[735],[120,42072,42073,42076],{"style":40301},[120,42074],{"className":42075,"style":1133},[743],[120,42077,42079],{"className":42078},[748,40272,959,751],[120,42080,42082],{"className":42081},[175,751],[120,42083,42085],{"className":42084},[175,419,751],[120,42086,40781],{"className":42087},[175,751],[120,42089,42090,42093],{"style":5982},[120,42091],{"className":42092,"style":1133},[743],[120,42094],{"className":42095,"style":5989},[1155,751],[120,42097,42098,42101],{"style":40324},[120,42099],{"className":42100,"style":1133},[743],[120,42102,42104],{"className":42103},[748,40272,959,751],[120,42105,42107],{"className":42106},[175,751],[120,42108,25346],{"className":42109},[175,751],[120,42111,762],{"className":42112},[761],[120,42114,42116],{"className":42115},[731],[120,42117,42119],{"className":42118,"style":41956},[735],[120,42120],{},[120,42122],{"className":42123},[188,1113,748,40272,5941],[120,42125,42127],{"className":42126,"style":40273},[188,748,40272,5941,751,2785],[120,42128,152],{"className":42129},[751],[120,42131,42133],{"className":42132},[722],[120,42134,42136],{"className":42135},[726],[120,42137,42139],{"className":42138},[731],[120,42140,42142],{"className":42141,"style":41980},[735],[120,42143,42144,42147],{"style":41983},[120,42145],{"className":42146,"style":41987},[743],[120,42148,42150],{"className":42149},[748,40272,959,751],[120,42151,42153],{"className":42152},[175,751],[120,42154,42156],{"className":42155},[175,419,751],[120,42157,40728],{"className":42158},[175,751],[120,42160,42162],{"className":42161,"style":38940},[188,748,38939,5941,2785],[120,42163,152],{"className":42164},[2790,3472],[120,42166],{"className":42167,"style":993},[398],[120,42169,42171,42174,42177,42180],{"className":42170},[175,748,749,38907],[120,42172,358],{"className":42173},[403],[120,42175],{"className":42176,"style":399},[398],[120,42178,669],{"className":42179},[175],[120,42181,41673],{"className":42182},[175],[21,42184,42185,42186,42189],{},"在 Weibull Toolbox 中，对数似然值以 ",[37,42187,42188],{},"LK Value"," 显示在分析结果中。",[21,42191,42192],{},"若将同一数据集分别拟合至正态、对数正态、威布尔和指数分布，可比较它们的 LK Value：",[62,42194],{"src":42195,"alt":42196,"width":20269},"/media/image43.png","不同分布的 LK Value",[21,42198,42199],{},"正态分布得到最高（即最接近零）的 LK Value，因此在这些候选分布中拟合最佳。指数分布的 LK Value 明显较低，表示其对数据的拟合较差。",[17,42201,42202],{"id":42202},"置信限",[31,42204,42206],{"id":42205},"fisher-矩阵置信限","Fisher 矩阵置信限",[21,42208,42209,42210,6088,42293,42369,42370,6088,42398,42426],{},"将威布尔模型拟合至失效数据后，可以利用 Fisher 矩阵置信限（FMCB）量化参数估计值 ",[120,42211,42213,42232],{"className":42212},[123],[120,42214,42216],{"className":42215},[127],[129,42217,42218],{"xmlns":131},[133,42219,42220,42229],{},[136,42221,42222],{},[3081,42223,42224,42226],{"accent":162},[139,42225,5525],{},[143,42227,42228],{"stretchy":162},"^",[154,42230,42231],{"encoding":156},"\\widehat{\\beta}",[120,42233,42235],{"className":42234,"ariaHidden":162},[161],[120,42236,42238,42242],{"className":42237},[166],[120,42239],{"className":42240,"style":42241},[170],"height:1.1289em;vertical-align:-0.1944em;",[120,42243,42245],{"className":42244},[175,3378],[120,42246,42248,42285],{"className":42247},[726,727],[120,42249,42251,42282],{"className":42250},[731],[120,42252,42255,42263],{"className":42253,"style":42254},[735],"height:0.9344em;",[120,42256,42257,42260],{"style":3116},[120,42258],{"className":42259,"style":1133},[743],[120,42261,5525],{"className":42262,"style":5542},[175,176],[120,42264,42267,42270],{"className":42265,"style":42266},[10529],"width:calc(100% - 0.1667em);margin-left:0.1667em;top:-3.6944em;",[120,42268],{"className":42269,"style":1133},[743],[120,42271,42273],{"style":42272},"height:0.24em;",[10555,42274,42279],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},"100%","0.24em","0 0 1062 239","none",[10563,42280],{"d":42281},"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",[120,42283,762],{"className":42284},[761],[120,42286,42288],{"className":42287},[731],[120,42289,42291],{"className":42290,"style":30158},[735],[120,42292],{},[120,42294,42296,42314],{"className":42295},[123],[120,42297,42299],{"className":42298},[127],[129,42300,42301],{"xmlns":131},[133,42302,42303,42311],{},[136,42304,42305],{},[3081,42306,42307,42309],{"accent":162},[139,42308,5580],{},[143,42310,42228],{"stretchy":162},[154,42312,42313],{"encoding":156},"\\widehat{\\eta}",[120,42315,42317],{"className":42316,"ariaHidden":162},[161],[120,42318,42320,42324],{"className":42319},[166],[120,42321],{"className":42322,"style":42323},[170],"height:0.865em;vertical-align:-0.1944em;",[120,42325,42327],{"className":42326},[175,3378],[120,42328,42330,42361],{"className":42329},[726,727],[120,42331,42333,42358],{"className":42332},[731],[120,42334,42337,42345],{"className":42335,"style":42336},[735],"height:0.6706em;",[120,42338,42339,42342],{"style":3116},[120,42340],{"className":42341,"style":1133},[743],[120,42343,5580],{"className":42344,"style":5677},[175,176],[120,42346,42349,42352],{"className":42347,"style":42348},[10529],"width:calc(100% - 0.1111em);margin-left:0.1111em;top:-3.4306em;",[120,42350],{"className":42351,"style":1133},[743],[120,42353,42354],{"style":42272},[10555,42355,42356],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,42357],{"d":42281},[120,42359,762],{"className":42360},[761],[120,42362,42364],{"className":42363},[731],[120,42365,42367],{"className":42366,"style":30158},[735],[120,42368],{}," 的不确定性，并由此求得 ",[120,42371,42373,42386],{"className":42372},[123],[120,42374,42376],{"className":42375},[127],[129,42377,42378],{"xmlns":131},[133,42379,42380,42384],{},[136,42381,42382],{},[139,42383,5525],{},[154,42385,5528],{"encoding":156},[120,42387,42389],{"className":42388,"ariaHidden":162},[161],[120,42390,42392,42395],{"className":42391},[166],[120,42393],{"className":42394,"style":5538},[170],[120,42396,5525],{"className":42397,"style":5542},[175,176],[120,42399,42401,42414],{"className":42400},[123],[120,42402,42404],{"className":42403},[127],[129,42405,42406],{"xmlns":131},[133,42407,42408,42412],{},[136,42409,42410],{},[139,42411,5580],{},[154,42413,6105],{"encoding":156},[120,42415,42417],{"className":42416,"ariaHidden":162},[161],[120,42418,42420,42423],{"className":42419},[166],[120,42421],{"className":42422,"style":6115},[170],[120,42424,5580],{"className":42425,"style":5677},[175,176]," 的方差。",[3590,42428,42430],{"id":42429},"参数的-fisher-矩阵置信限","参数的 Fisher 矩阵置信限",[21,42432,42433],{},"以下使用威布尔分布说明 Fisher 矩阵置信限；相同概念也适用于其他寿命分布模型。",[21,42435,42436],{},"二参数威布尔分布的似然函数为：",[21,42438,42439],{},[120,42440,42442,42572],{"className":42441},[123],[120,42443,42445],{"className":42444},[127],[129,42446,42447],{"xmlns":131},[133,42448,42449,42569],{},[136,42450,42451,42453,42455,42457,42459,42461,42463,42465,42479],{},[139,42452,26229],{},[143,42454,146],{"stretchy":145},[139,42456,5525],{},[143,42458,5577],{"separator":162},[139,42460,5580],{},[143,42462,152],{"stretchy":145},[143,42464,358],{},[660,42466,42467,42469,42477],{},[143,42468,35663],{},[136,42470,42471,42473,42475],{},[139,42472,19796],{},[143,42474,358],{},[360,42476,1294],{},[139,42478,9521],{},[136,42480,42481,42483,42530,42533,42535,42537,42539,42567],{},[143,42482,3855],{"fence":162},[3621,42484,42485,42523],{},[136,42486,42487,42489,42495,42521],{},[143,42488,146],{"fence":162},[1043,42490,42491,42493],{},[139,42492,5525],{},[139,42494,5580],{},[3621,42496,42497,42513],{},[136,42498,42499,42501,42511],{},[143,42500,146],{"fence":162},[1043,42502,42503,42509],{},[629,42504,42505,42507],{},[139,42506,149],{},[139,42508,19796],{},[139,42510,5580],{},[143,42512,152],{"fence":162},[136,42514,42515,42517,42519],{},[139,42516,5525],{},[143,42518,669],{},[360,42520,1294],{},[143,42522,152],{"fence":162},[629,42524,42525,42528],{},[139,42526,42527],{},"δ",[139,42529,19796],{},[143,42531,42532],{},"⋅",[139,42534,3629],{},[139,42536,9546],{},[139,42538,21],{},[136,42540,42541,42543,42545,42565],{},[143,42542,146],{"fence":162},[143,42544,669],{},[3621,42546,42547,42563],{},[136,42548,42549,42551,42561],{},[143,42550,146],{"fence":162},[1043,42552,42553,42559],{},[629,42554,42555,42557],{},[139,42556,149],{},[139,42558,19796],{},[139,42560,5580],{},[143,42562,152],{"fence":162},[139,42564,5525],{},[143,42566,152],{"fence":162},[143,42568,3874],{"fence":162},[154,42570,42571],{"encoding":156},"L(\\beta,\\eta) = \\prod_{i = 1}^{n}\\left\\lbrack \\left( \\frac{\\beta}{\\eta}\\left( \\frac{t_{i}}{\\eta} \\right)^{\\beta - 1} \\right)^{\\delta_{i}} \\cdot exp\\left( - \\left( \\frac{t_{i}}{\\eta} \\right)^{\\beta} \\right) \\right\\rbrack",[120,42573,42575,42611],{"className":42574,"ariaHidden":162},[161],[120,42576,42578,42581,42584,42587,42590,42593,42596,42599,42602,42605,42608],{"className":42577},[166],[120,42579],{"className":42580,"style":171},[170],[120,42582,26229],{"className":42583},[175,176],[120,42585,146],{"className":42586},[181],[120,42588,5525],{"className":42589,"style":5542},[175,176],[120,42591,5577],{"className":42592},[5661],[120,42594],{"className":42595,"style":993},[398],[120,42597,5580],{"className":42598,"style":5677},[175,176],[120,42600,152],{"className":42601},[188],[120,42603],{"className":42604,"style":399},[398],[120,42606,358],{"className":42607},[403],[120,42609],{"className":42610,"style":399},[398],[120,42612,42614,42618,42681,42684],{"className":42613},[166],[120,42615],{"className":42616,"style":42617},[170],"height:3em;vertical-align:-1.25em;",[120,42619,42621,42624],{"className":42620},[879],[120,42622,35663],{"className":42623,"style":20037},[879,883,884],[120,42625,42627],{"className":42626},[722],[120,42628,42630,42673],{"className":42629},[726,727],[120,42631,42633,42670],{"className":42632},[731],[120,42634,42636,42656],{"className":42635,"style":30728},[735],[120,42637,42638,42641],{"style":20053},[120,42639],{"className":42640,"style":744},[743],[120,42642,42644],{"className":42643},[748,749,750,751],[120,42645,42647,42650,42653],{"className":42646},[175,751],[120,42648,19796],{"className":42649},[175,176,751],[120,42651,358],{"className":42652},[403,751],[120,42654,1294],{"className":42655},[175,751],[120,42657,42658,42661],{"style":20076},[120,42659],{"className":42660,"style":744},[743],[120,42662,42664],{"className":42663},[748,749,750,751],[120,42665,42667],{"className":42666},[175,751],[120,42668,9521],{"className":42669},[175,176,751],[120,42671,762],{"className":42672},[761],[120,42674,42676],{"className":42675},[731],[120,42677,42679],{"className":42678,"style":30772},[735],[120,42680],{},[120,42682],{"className":42683,"style":993},[398],[120,42685,42687,42694,43011,43014,43017,43020,43023,43026,43029,43032,43205],{"className":42686},[2781],[120,42688,42690],{"className":42689,"style":2786},[181,2785],[120,42691,3855],{"className":42692},[2790,42693],"size4",[120,42695,42697,42943],{"className":42696},[2781],[120,42698,42700,42706,42774,42777,42937],{"className":42699},[2781],[120,42701,42703],{"className":42702,"style":2786},[181,2785],[120,42704,146],{"className":42705},[2790,750],[120,42707,42709,42712,42771],{"className":42708},[175],[120,42710],{"className":42711},[181,1113],[120,42713,42715],{"className":42714},[1043],[120,42716,42718,42763],{"className":42717},[726,727],[120,42719,42721,42760],{"className":42720},[731],[120,42722,42724,42738,42746],{"className":42723,"style":5715},[735],[120,42725,42726,42729],{"style":1129},[120,42727],{"className":42728,"style":1133},[743],[120,42730,42732],{"className":42731},[748,749,750,751],[120,42733,42735],{"className":42734},[175,751],[120,42736,5580],{"className":42737,"style":5677},[175,176,751],[120,42739,42740,42743],{"style":1148},[120,42741],{"className":42742,"style":1133},[743],[120,42744],{"className":42745,"style":1156},[1155],[120,42747,42748,42751],{"style":5740},[120,42749],{"className":42750,"style":1133},[743],[120,42752,42754],{"className":42753},[748,749,750,751],[120,42755,42757],{"className":42756},[175,751],[120,42758,5525],{"className":42759,"style":5542},[175,176,751],[120,42761,762],{"className":42762},[761],[120,42764,42766],{"className":42765},[731],[120,42767,42769],{"className":42768,"style":5762},[735],[120,42770],{},[120,42772],{"className":42773},[188,1113],[120,42775],{"className":42776,"style":993},[398],[120,42778,42780,42905],{"className":42779},[2781],[120,42781,42783,42789,42899],{"className":42782},[2781],[120,42784,42786],{"className":42785,"style":2786},[181,2785],[120,42787,146],{"className":42788},[2790,3472],[120,42790,42792,42795,42896],{"className":42791},[175],[120,42793],{"className":42794},[181,1113],[120,42796,42798],{"className":42797},[1043],[120,42799,42801,42888],{"className":42800},[726,727],[120,42802,42804,42885],{"className":42803},[731],[120,42805,42808,42822,42830],{"className":42806,"style":42807},[735],"height:0.8407em;",[120,42809,42810,42813],{"style":1129},[120,42811],{"className":42812,"style":1133},[743],[120,42814,42816],{"className":42815},[748,749,750,751],[120,42817,42819],{"className":42818},[175,751],[120,42820,5580],{"className":42821,"style":5677},[175,176,751],[120,42823,42824,42827],{"style":1148},[120,42825],{"className":42826,"style":1133},[743],[120,42828],{"className":42829,"style":1156},[1155],[120,42831,42833,42836],{"style":42832},"top:-3.4101em;",[120,42834],{"className":42835,"style":1133},[743],[120,42837,42839],{"className":42838},[748,749,750,751],[120,42840,42842],{"className":42841},[175,751],[120,42843,42845,42848],{"className":42844},[175,751],[120,42846,149],{"className":42847},[175,176,751],[120,42849,42851],{"className":42850},[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是第 ",[120,43284,43286,43299],{"className":43285},[123],[120,43287,43289],{"className":43288},[127],[129,43290,43291],{"xmlns":131},[133,43292,43293,43297],{},[136,43294,43295],{},[139,43296,19796],{},[154,43298,19796],{"encoding":156},[120,43300,43302],{"className":43301,"ariaHidden":162},[161],[120,43303,43305,43309],{"className":43304},[166],[120,43306],{"className":43307,"style":43308},[170],"height:0.6595em;",[120,43310,19796],{"className":43311},[175,176]," 个样品的观测时间；失效数据的 ",[120,43314,43316,43338],{"className":43315},[123],[120,43317,43319],{"className":43318},[127],[129,43320,43321],{"xmlns":131},[133,43322,43323,43335],{},[136,43324,43325,43331,43333],{},[629,43326,43327,43329],{},[139,43328,42527],{},[139,43330,19796],{},[143,43332,358],{},[360,43334,1294],{},[154,43336,43337],{"encoding":156},"\\delta_i=1",[120,43339,43341,43398],{"className":43340,"ariaHidden":162},[161],[120,43342,43344,43348,43389,43392,43395],{"className":43343},[166],[120,43345],{"className":43346,"style":43347},[170],"height:0.8444em;vertical-align:-0.15em;",[120,43349,43351,43354],{"className":43350},[175],[120,43352,42527],{"className":43353,"style":42972},[175,176],[120,43355,43357],{"className":43356},[722],[120,43358,43360,43381],{"className":43359},[726,727],[120,43361,43363,43378],{"className":43362},[731],[120,43364,43366],{"className":43365,"style":19828},[735],[120,43367,43369,43372],{"style":43368},"top:-2.55em;margin-left:-0.0379em;margin-right:0.05em;",[120,43370],{"className":43371,"style":744},[743],[120,43373,43375],{"className":43374},[748,749,750,751],[120,43376,19796],{"className":43377},[175,176,751],[120,43379,762],{"className":43380},[761],[120,43382,43384],{"className":43383},[731],[120,43385,43387],{"className":43386,"style":769},[735],[120,43388],{},[120,43390],{"className":43391,"style":399},[398],[120,43393,358],{"className":43394},[403],[120,43396],{"className":43397,"style":399},[398],[120,43399,43401,43404],{"className":43400},[166],[120,43402],{"className":43403,"style":447},[170],[120,43405,1294],{"className":43406},[175],"，删失数据的 ",[120,43409,43411,43433],{"className":43410},[123],[120,43412,43414],{"className":43413},[127],[129,43415,43416],{"xmlns":131},[133,43417,43418,43430],{},[136,43419,43420,43426,43428],{},[629,43421,43422,43424],{},[139,43423,42527],{},[139,43425,19796],{},[143,43427,358],{},[360,43429,523],{},[154,43431,43432],{"encoding":156},"\\delta_i=0",[120,43434,43436,43491],{"className":43435,"ariaHidden":162},[161],[120,43437,43439,43442,43482,43485,43488],{"className":43438},[166],[120,43440],{"className":43441,"style":43347},[170],[120,43443,43445,43448],{"className":43444},[175],[120,43446,42527],{"className":43447,"style":42972},[175,176],[120,43449,43451],{"className":43450},[722],[120,43452,43454,43474],{"className":43453},[726,727],[120,43455,43457,43471],{"className":43456},[731],[120,43458,43460],{"className":43459,"style":19828},[735],[120,43461,43462,43465],{"style":43368},[120,43463],{"className":43464,"style":744},[743],[120,43466,43468],{"className":43467},[748,749,750,751],[120,43469,19796],{"className":43470},[175,176,751],[120,43472,762],{"className":43473},[761],[120,43475,43477],{"className":43476},[731],[120,43478,43480],{"className":43479,"style":769},[735],[120,43481],{},[120,43483],{"className":43484,"style":399},[398],[120,43486,358],{"className":43487},[403],[120,43489],{"className":43490,"style":399},[398],[120,43492,43494,43497],{"className":43493},[166],[120,43495],{"className":43496,"style":447},[170],[120,43498,523],{"className":43499},[175],[21,43501,43502],{},"对数似然函数为：",[21,43504,43505],{},[120,43506,43508,43658],{"className":43507},[123],[120,43509,43511],{"className":43510},[127],[129,43512,43513],{"xmlns":131},[133,43514,43515,43655],{},[136,43516,43517,43519,43521,43539,43541,43555,43561,43619,43621,43635],{},[139,43518,5230],{},[143,43520,5233],{},[136,43522,43523,43525,43527,43529,43531,43533,43535,43537],{},[143,43524,146],{"fence":162},[139,43526,26229],{},[143,43528,146],{"stretchy":145},[139,43530,5525],{},[143,43532,5577],{"separator":162},[139,43534,5580],{},[143,43536,152],{"stretchy":145},[143,43538,152],{"fence":162},[143,43540,358],{},[660,43542,43543,43545,43553],{},[143,43544,19946],{},[136,43546,43547,43549,43551],{},[139,43548,19796],{},[143,43550,358],{},[360,43552,1294],{},[139,43554,9521],{},[629,43556,43557,43559],{},[139,43558,42527],{},[139,43560,19796],{},[136,43562,43563,43565,43567,43569,43571,43573,43575,43577,43579,43581,43583,43585,43587,43589,43591,43593,43595,43597,43599,43601,43603,43605,43617],{},[143,43564,3855],{"fence":162},[139,43566,5230],{},[143,43568,5233],{},[143,43570,146],{"stretchy":145},[139,43572,5525],{},[143,43574,152],{"stretchy":145},[143,43576,669],{},[139,43578,5525],{},[139,43580,13288],{},[139,43582,9521],{},[143,43584,146],{"stretchy":145},[139,43586,5580],{},[143,43588,152],{"stretchy":145},[143,43590,2646],{},[143,43592,146],{"stretchy":145},[139,43594,5525],{},[143,43596,669],{},[360,43598,1294],{},[143,43600,152],{"stretchy":145},[139,43602,5230],{},[143,43604,5233],{},[136,43606,43607,43609,43615],{},[143,43608,146],{"fence":162},[629,43610,43611,43613],{},[139,43612,149],{},[139,43614,19796],{},[143,43616,152],{"fence":162},[143,43618,3874],{"fence":162},[143,43620,669],{},[660,43622,43623,43625,43633],{},[143,43624,19946],{},[136,43626,43627,43629,43631],{},[139,43628,19796],{},[143,43630,358],{},[360,43632,1294],{},[139,43634,9521],{},[3621,43636,43637,43653],{},[136,43638,43639,43641,43651],{},[143,43640,146],{"fence":162},[1043,43642,43643,43649],{},[629,43644,43645,43647],{},[139,43646,149],{},[139,43648,19796],{},[139,43650,5580],{},[143,43652,152],{"fence":162},[139,43654,5525],{},[154,43656,43657],{"encoding":156},"\\ln\\left( L(\\beta,\\eta) \\right) = \\sum_{i = 1}^{n}\\delta_{i}\\left\\lbrack \\ln(\\beta) - \\beta ln(\\eta) + (\\beta - 1)\\ln\\left( t_{i} \\right) \\right\\rbrack - \\sum_{i = 1}^{n}\\left( \\frac{t_{i}}{\\eta} \\right)^{\\beta}",[120,43659,43661,43712,43976],{"className":43660,"ariaHidden":162},[161],[120,43662,43664,43667,43670,43673,43703,43706,43709],{"className":43663},[166],[120,43665],{"className":43666,"style":171},[170],[120,43668,5230],{"className":43669},[879],[120,43671],{"className":43672,"style":993},[398],[120,43674,43676,43679,43682,43685,43688,43691,43694,43697,43700],{"className":43675},[2781],[120,43677,146],{"className":43678,"style":2786},[181,2785],[120,43680,26229],{"className":43681},[175,176],[120,43683,146],{"className":43684},[181],[120,43686,5525],{"className":43687,"style":5542},[175,176],[120,43689,5577],{"className":43690},[5661],[120,43692],{"className":43693,"style":993},[398],[120,43695,5580],{"className":43696,"style":5677},[175,176],[120,43698,152],{"className":43699},[188],[120,43701,152],{"className":43702,"style":2786},[188,2785],[120,43704],{"className":43705,"style":399},[398],[120,43707,358],{"className":43708},[403],[120,43710],{"className":43711,"style":399},[398],[120,43713,43715,43718,43781,43784,43827,43830,43967,43970,43973],{"className":43714},[166],[120,43716],{"className":43717,"style":35855},[170],[120,43719,43721,43724],{"className":43720},[879],[120,43722,19946],{"className":43723,"style":20037},[879,883,884],[120,43725,43727],{"className":43726},[722],[120,43728,43730,43773],{"className":43729},[726,727],[120,43731,43733,43770],{"className":43732},[731],[120,43734,43736,43756],{"className":43735,"style":30728},[735],[120,43737,43738,43741],{"style":20053},[120,43739],{"className":43740,"style":744},[743],[120,43742,43744],{"className":43743},[748,749,750,751],[120,43745,43747,43750,43753],{"className":43746},[175,751],[120,43748,19796],{"className":43749},[175,176,751],[120,43751,358],{"className":43752},[403,751],[120,43754,1294],{"className":43755},[175,751],[120,43757,43758,43761],{"style":20076},[120,43759],{"className":43760,"style":744},[743],[120,43762,43764],{"className":43763},[748,749,750,751],[120,43765,43767],{"className":43766},[175,751],[120,43768,9521],{"className":43769},[175,176,751],[120,43771,762],{"className":43772},[761],[120,43774,43776],{"className":43775},[731],[120,43777,43779],{"className":43778,"style":30772},[735],[120,43780],{},[120,43782],{"className":43783,"style":993},[398],[120,43785,43787,43790],{"className":43786},[175],[120,43788,42527],{"className":43789,"style":42972},[175,176],[120,43791,43793],{"className":43792},[722],[120,43794,43796,43819],{"className":43795},[726,727],[120,43797,43799,43816],{"className":43798},[731],[120,43800,43802],{"className":43801,"style":19828},[735],[120,43803,43804,43807],{"style":43368},[120,43805],{"className":43806,"style":744},[743],[120,43808,43810],{"className":43809},[748,749,750,751],[120,43811,43813],{"className":43812},[175,751],[120,43814,19796],{"className":43815},[175,176,751],[120,43817,762],{"className":43818},[761],[120,43820,43822],{"className":43821},[731],[120,43823,43825],{"className":43824,"style":769},[735],[120,43826],{},[120,43828],{"className":43829,"style":993},[398],[120,43831,43833,43836,43839,43842,43845,43848,43851,43854,43857,43861,43864,43867,43870,43873,43876,43879,43882,43885,43888,43891,43894,43897,43900,43903,43906,43909,43912,43964],{"className":43832},[2781],[120,43834,3855],{"className":43835,"style":2786},[181,2785],[120,43837,5230],{"className":43838},[879],[120,43840,146],{"className":43841},[181],[120,43843,5525],{"className":43844,"style":5542},[175,176],[120,43846,152],{"className":43847},[188],[120,43849],{"className":43850,"style":1352},[398],[120,43852,669],{"className":43853},[1356],[120,43855],{"className":43856,"style":1352},[398],[120,43858,43860],{"className":43859,"style":13717},[175,176],"βl",[120,43862,9521],{"className":43863},[175,176],[120,43865,146],{"className":43866},[181],[120,43868,5580],{"className":43869,"style":5677},[175,176],[120,43871,152],{"className":43872},[188],[120,43874],{"className":43875,"style":1352},[398],[120,43877,2646],{"className":43878},[1356],[120,43880],{"className":43881,"style":1352},[398],[120,43883,146],{"className":43884},[181],[120,43886,5525],{"className":43887,"style":5542},[175,176],[120,43889],{"className":43890,"style":1352},[398],[120,43892,669],{"className":43893},[1356],[120,43895],{"className":43896,"style":1352},[398],[120,43898,1294],{"className":43899},[175],[120,43901,152],{"className":43902},[188],[120,43904],{"className":43905,"style":993},[398],[120,43907,5230],{"className":43908},[879],[120,43910],{"className":43911,"style":993},[398],[120,43913,43915,43918,43961],{"className":43914},[2781],[120,43916,146],{"className":43917,"style":2786},[181,2785],[120,43919,43921,43924],{"className":43920},[175],[120,43922,149],{"className":43923},[175,176],[120,43925,43927],{"className":43926},[722],[120,43928,43930,43953],{"className":43929},[726,727],[120,43931,43933,43950],{"className":43932},[731],[120,43934,43936],{"className":43935,"style":19828},[735],[120,43937,43938,43941],{"style":739},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Fisher 信息矩阵",[21,44206,44207,44208,44266],{},"Fisher 信息矩阵 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点附近的曲率，定义为二阶导数负期望：",[120,44268,44270],{"className":44269},[1588],[120,44271,44273,44481],{"className":44272},[123],[120,44274,44276],{"className":44275},[127],[129,44277,44278],{"xmlns":131,"display":1597},[133,44279,44280,44478],{},[136,44281,44282,44284,44286,44288,44290,44292,44294,44296],{},[139,44283,44222],{},[143,44285,146],{"stretchy":145},[139,44287,5525],{},[143,44289,5577],{"separator":162},[139,44291,5580],{},[143,44293,152],{"stretchy":145},[143,44295,358],{},[629,44297,44298,44458],{},[136,44299,44300,44455],{},[136,44301,44302,44304,44453],{},[143,44303,3855],{"fence":162},[44305,44306,44310,44383],"mtable",{"rowspacing":44307,"columnalign":44308,"columnspacing":44309},"0.16em","center 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的置信限",[21,46613,46614],{},[120,46615,46617,46718],{"className":46616},[123],[120,46618,46620],{"className":46619},[127],[129,46621,46622],{"xmlns":131},[133,46623,46624,46715],{},[136,46625,46626,46628,46630,46648,46650,46652,46654,46666,46669,46681,46683],{},[139,46627,5230],{},[143,46629,5233],{},[136,46631,46632,46634,46646],{},[143,46633,146],{"fence":162},[629,46635,46636,46638],{},[139,46637,5525],{},[136,46639,46640,46642,46644],{},[139,46641,35535],{},[143,46643,5577],{"separator":162},[139,46645,26229],{},[143,46647,152],{"fence":162},[143,46649,358],{},[139,46651,13288],{},[139,46653,9521],{},[136,46655,46656,46658,46664],{},[143,46657,146],{"fence":162},[3081,46659,46660,46662],{"accent":162},[139,46661,5525],{},[143,46663,42228],{"stretchy":162},[143,46665,152],{"fence":162},[143,46667,46668],{},"±",[629,46670,46671,46674],{},[139,46672,46673],{},"z",[1043,46675,46676,46679],{},[139,46677,46678],{},"α",[360,46680,9849],{},[143,46682,42532],{},[10376,46684,46685],{},[136,46686,46687,46689,46691,46693],{},[139,46688,45464],{},[139,46690,29285],{},[139,46692,24176],{},[136,46694,46695,46697,46699,46701,46713],{},[143,46696,146],{"fence":162},[139,46698,5230],{},[143,46700,5233],{},[136,46702,46703,46705,46711],{},[143,46704,146],{"fence":162},[3081,46706,46707,46709],{"accent":162},[139,46708,5525],{},[143,46710,42228],{"stretchy":162},[143,46712,152],{"fence":162},[143,46714,152],{"fence":162},[154,46716,46717],{"encoding":156},"\\ln\\left( \\beta_{U,L} \\right) = ln\\left( \\widehat{\\beta} \\right) \\pm z_{\\frac{\\alpha}{2}} \\cdot \\sqrt{Var\\left( \\ln\\left( \\widehat{\\beta} \\right) \\right)}",[120,46719,46721,46802,46884,47014],{"className":46720,"ariaHidden":162},[161],[120,46722,46724,46728,46731,46734,46793,46796,46799],{"className":46723},[166],[120,46725],{"className":46726,"style":46727},[170],"height:1.0361em;vertical-align:-0.2861em;",[120,46729,5230],{"className":46730},[879],[120,46732],{"className":46733,"style":993},[398],[120,46735,46737,46740,46790],{"className":46736},[2781],[120,46738,146],{"className":46739,"style":2786},[181,2785],[120,46741,46743,46746],{"className":46742},[175],[120,46744,5525],{"className":46745,"style":5542},[175,176],[120,46747,46749],{"className":46748},[722],[120,46750,46752,46782],{"className":46751},[726,727],[120,46753,46755,46779],{"className":46754},[731],[120,46756,46758],{"className":46757,"style":33392},[735],[120,46759,46761,46764],{"style":46760},"top:-2.55em;margin-left:-0.0528em;margin-right:0.05em;",[120,46762],{"className":46763,"style":744},[743],[120,46765,46767],{"className":46766},[748,749,750,751],[120,46768,46770,46773,46776],{"className":46769},[175,751],[120,46771,35535],{"className":46772,"style":1859},[175,176,751],[120,46774,5577],{"className":46775},[5661,751],[120,46777,26229],{"className":46778},[175,176,751],[120,46780,762],{"className":46781},[761],[120,46783,46785],{"className":46784},[731],[120,46786,46788],{"className":46787,"style":20342},[735],[120,46789],{},[120,46791,152],{"className":46792,"style":2786},[188,2785],[120,46794],{"className":46795,"style":399},[398],[120,46797,358],{"className":46798},[403],[120,46800],{"className":46801,"style":399},[398],[120,46803,46805,46808,46811,46814,46817,46875,46878,46881],{"className":46804},[166],[120,46806],{"className":46807,"style":3456},[170],[120,46809,13288],{"className":46810,"style":13717},[175,176],[120,46812,9521],{"className":46813},[175,176],[120,46815],{"className":46816,"style":993},[398],[120,46818,46820,46826,46869],{"className":46819},[2781],[120,46821,46823],{"className":46822,"style":2786},[181,2785],[120,46824,146],{"className":46825},[2790,3472],[120,46827,46829],{"className":46828},[175,3378],[120,46830,46832,46861],{"className":46831},[726,727],[120,46833,46835,46858],{"className":46834},[731],[120,46836,46838,46846],{"className":46837,"style":42254},[735],[120,46839,46840,46843],{"style":3116},[120,46841],{"className":46842,"style":1133},[743],[120,46844,5525],{"className":46845,"style":5542},[175,176],[120,46847,46849,46852],{"className":46848,"style":42266},[10529],[120,46850],{"className":46851,"style":1133},[743],[120,46853,46854],{"style":42272},[10555,46855,46856],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,46857],{"d":42281},[120,46859,762],{"className":46860},[761],[120,46862,46864],{"className":46863},[731],[120,46865,46867],{"className":46866,"style":30158},[735],[120,46868],{},[120,46870,46872],{"className":46871,"style":2786},[188,2785],[120,46873,152],{"className":46874},[2790,3472],[120,46876],{"className":46877,"style":1352},[398],[120,46879,46668],{"className":46880},[1356],[120,46882],{"className":46883,"style":1352},[398],[120,46885,46887,46891,47005,47008,47011],{"className":46886},[166],[120,46888],{"className":46889,"style":46890},[170],"height:0.8352em;vertical-align:-0.3908em;",[120,46892,46894,46898],{"className":46893},[175],[120,46895,46673],{"className":46896,"style":46897},[175,176],"margin-right:0.04398em;",[120,46899,46901],{"className":46900},[722],[120,46902,46904,46996],{"className":46903},[726,727],[120,46905,46907,46993],{"className":46906},[731],[120,46908,46911],{"className":46909,"style":46910},[735],"height:0.3341em;",[120,46912,46914,46917],{"style":46913},"top:-2.85em;margin-left:-0.044em;margin-right:0.05em;",[120,46915],{"className":46916,"style":1133},[743],[120,46918,46920],{"className":46919},[748,749,750,751],[120,46921,46923],{"className":46922},[175,751],[120,46924,46926,46929,46990],{"className":46925},[175,751],[120,46927],{"className":46928},[181,1113,748,958,5941],[120,46930,46932],{"className":46931},[1043],[120,46933,46935,46982],{"className":46934},[726,727],[120,46936,46938,46979],{"className":46937},[731],[120,46939,46942,46956,46964],{"className":46940,"style":46941},[735],"height:0.6915em;",[120,46943,46944,46947],{"style":5967},[120,46945],{"className":46946,"style":1133},[743],[120,46948,46950],{"className":46949},[748,958,959,751],[120,46951,46953],{"className":46952},[175,751],[120,46954,9849],{"className":46955},[175,751],[120,46957,46958,46961],{"style":5982},[120,46959],{"className":46960,"style":1133},[743],[120,46962],{"className":46963,"style":5989},[1155,751],[120,46965,46966,46969],{"style":5992},[120,46967],{"className":46968,"style":1133},[743],[120,46970,46972],{"className":46971},[748,958,959,751],[120,46973,46975],{"className":46974},[175,751],[120,46976,46678],{"className":46977,"style":46978},[175,176,751],"margin-right:0.0037em;",[120,46980,762],{"className":46981},[761],[120,46983,46985],{"className":46984},[731],[120,46986,46988],{"className":46987,"style":10712},[735],[120,46989],{},[120,46991],{"className":46992},[188,1113,748,958,5941],[120,46994,762],{"className":46995},[761],[120,46997,46999],{"className":46998},[731],[120,47000,47003],{"className":47001,"style":47002},[735],"height:0.3908em;",[120,47004],{},[120,47006],{"className":47007,"style":1352},[398],[120,47009,42532],{"className":47010},[1356],[120,47012],{"className":47013,"style":1352},[398],[120,47015,47017,47021],{"className":47016},[166],[120,47018],{"className":47019,"style":47020},[170],"height:2.44em;vertical-align:-0.905em;",[120,47022,47024],{"className":47023},[175,10515],[120,47025,47027,47153],{"className":47026},[726,727],[120,47028,47030,47150],{"className":47029},[731],[120,47031,47034,47133],{"className":47032,"style":47033},[735],"height:1.535em;",[120,47035,47038,47042],{"className":47036,"style":47037},[10529],"top:-4.4em;",[120,47039],{"className":47040,"style":47041},[743],"height:4.4em;",[120,47043,47045,47048,47051,47054],{"className":47044,"style":33581},[175],[120,47046,45959],{"className":47047},[175,176],[120,47049,24176],{"className":47050,"style":24205},[175,176],[120,47052],{"className":47053,"style":993},[398],[120,47055,47057,47063,47066,47069,47127],{"className":47056},[2781],[120,47058,47060],{"className":47059,"style":2786},[181,2785],[120,47061,146],{"className":47062},[2790,3472],[120,47064,5230],{"className":47065},[879],[120,47067],{"className":47068,"style":993},[398],[120,47070,47072,47078,47121],{"className":47071},[2781],[120,47073,47075],{"className":47074,"style":2786},[181,2785],[120,47076,146],{"className":47077},[2790,3472],[120,47079,47081],{"className":47080},[175,3378],[120,47082,47084,47113],{"className":47083},[726,727],[120,47085,47087,47110],{"className":47086},[731],[120,47088,47090,47098],{"className":47089,"style":42254},[735],[120,47091,47092,47095],{"style":3116},[120,47093],{"className":47094,"style":1133},[743],[120,47096,5525],{"className":47097,"style":5542},[175,176],[120,47099,47101,47104],{"className":47100,"style":42266},[10529],[120,47102],{"className":47103,"style":1133},[743],[120,47105,47106],{"style":42272},[10555,47107,47108],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,47109],{"d":42281},[120,47111,762],{"className":47112},[761],[120,47114,47116],{"className":47115},[731],[120,47117,47119],{"className":47118,"style":30158},[735],[120,47120],{},[120,47122,47124],{"className":47123,"style":2786},[188,2785],[120,47125,152],{"className":47126},[2790,3472],[120,47128,47130],{"className":47129,"style":2786},[188,2785],[120,47131,152],{"className":47132},[2790,3472],[120,47134,47136,47139],{"style":47135},"top:-3.495em;",[120,47137],{"className":47138,"style":47041},[743],[120,47140,47143],{"className":47141,"style":47142},[10552],"min-width:1.02em;height:2.48em;",[10555,47144,47147],{"xmlns":10557,"width":10558,"height":47145,"viewBox":47146,"preserveAspectRatio":10561},"2.48em","0 0 400000 2592",[10563,47148],{"d":47149},"M424,2478\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl0 -0c4,-6.7,10,-10,18,-10 H400000\nv40H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M1001 80\nh400000v40h-400000z",[120,47151,762],{"className":47152},[761],[120,47154,47156],{"className":47155},[731],[120,47157,47160],{"className":47158,"style":47159},[735],"height:0.905em;",[120,47161],{},[21,47163,47164],{},"利用 Delta 方法：",[21,47166,47167],{},[120,47168,47170,47232],{"className":47169},[123],[120,47171,47173],{"className":47172},[127],[129,47174,47175],{"xmlns":131},[133,47176,47177,47229],{},[136,47178,47179,47181,47183,47185,47187,47189,47191,47193,47199,47201,47203],{},[139,47180,45464],{},[139,47182,29285],{},[139,47184,24176],{},[143,47186,146],{"stretchy":145},[139,47188,13288],{},[139,47190,9521],{},[143,47192,146],{"stretchy":145},[3081,47194,47195,47197],{"accent":162},[139,47196,5525],{},[143,47198,42228],{"stretchy":162},[143,47200,152],{"stretchy":145},[143,47202,45415],{},[1043,47204,47205,47223],{},[136,47206,47207,47209,47211,47213,47215,47221],{},[139,47208,45464],{},[139,47210,29285],{},[139,47212,24176],{},[143,47214,146],{"stretchy":145},[3081,47216,47217,47219],{"accent":162},[139,47218,5525],{},[143,47220,42228],{"stretchy":162},[143,47222,152],{"stretchy":145},[3621,47224,47225,47227],{},[139,47226,5525],{},[360,47228,9849],{},[154,47230,47231],{"encoding":156},"Var(ln(\\widehat{\\beta}) \\approx \\frac{Var(\\widehat{\\beta})}{\\beta^{2}}",[120,47233,47235,47315],{"className":47234,"ariaHidden":162},[161],[120,47236,47238,47242,47245,47248,47251,47254,47257,47260,47303,47306,47309,47312],{"className":47237},[166],[120,47239],{"className":47240,"style":47241},[170],"height:1.1844em;vertical-align:-0.25em;",[120,47243,45959],{"className":47244},[175,176],[120,47246,24176],{"className":47247,"style":24205},[175,176],[120,47249,146],{"className":47250},[181],[120,47252,13288],{"className":47253,"style":13717},[175,176],[120,47255,9521],{"className":47256},[175,176],[120,47258,146],{"className":47259},[181],[120,47261,47263],{"className":47262},[175,3378],[120,47264,47266,47295],{"className":47265},[726,727],[120,47267,47269,47292],{"className":47268},[731],[120,47270,47272,47280],{"className":47271,"style":42254},[735],[120,47273,47274,47277],{"style":3116},[120,47275],{"className":47276,"style":1133},[743],[120,47278,5525],{"className":47279,"style":5542},[175,176],[120,47281,47283,47286],{"className":47282,"style":42266},[10529],[120,47284],{"className":47285,"style":1133},[743],[120,47287,47288],{"style":42272},[10555,47289,47290],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,47291],{"d":42281},[120,47293,762],{"className":47294},[761],[120,47296,47298],{"className":47297},[731],[120,47299,47301],{"className":47300,"style":30158},[735],[120,47302],{},[120,47304,152],{"className":47305},[188],[120,47307],{"className":47308,"style":399},[398],[120,47310,45415],{"className":47311},[403],[120,47313],{"className":47314,"style":399},[398],[120,47316,47318,47322],{"className":47317},[166],[120,47319],{"className":47320,"style":47321},[170],"height:1.6202em;vertical-align:-0.4811em;",[120,47323,47325,47328,47471],{"className":47324},[175],[120,47326],{"className":47327},[181,1113],[120,47329,47331],{"className":47330},[1043],[120,47332,47334,47463],{"className":47333},[726,727],[120,47335,47337,47460],{"className":47336},[731],[120,47338,47341,47384,47392],{"className":47339,"style":47340},[735],"height:1.1391em;",[120,47342,47343,47346],{"style":1129},[120,47344],{"className":47345,"style":1133},[743],[120,47347,47349],{"className":47348},[748,749,750,751],[120,47350,47352],{"className":47351},[175,751],[120,47353,47355,47358],{"className":47354},[175,751],[120,47356,5525],{"className":47357,"style":5542},[175,176,751],[120,47359,47361],{"className":47360},[722],[120,47362,47364],{"className":47363},[726],[120,47365,47367],{"className":47366},[731],[120,47368,47370],{"className":47369,"style":44630},[735],[120,47371,47372,47375],{"style":13416},[120,47373],{"className":47374,"style":954},[743],[120,47376,47378],{"className":47377},[748,958,959,751],[120,47379,47381],{"className":47380},[175,751],[120,47382,9849],{"className":47383},[175,751],[120,47385,47386,47389],{"style":1148},[120,47387],{"className":47388,"style":1133},[743],[120,47390],{"className":47391,"style":1156},[1155],[120,47393,47394,47397],{"style":1159},[120,47395],{"className":47396,"style":1133},[743],[120,47398,47400],{"className":47399},[748,749,750,751],[120,47401,47403,47406,47409,47412,47457],{"className":47402},[175,751],[120,47404,45959],{"className":47405},[175,176,751],[120,47407,24176],{"className":47408,"style":24205},[175,176,751],[120,47410,146],{"className":47411},[181,751],[120,47413,47415],{"className":47414},[175,3378,751],[120,47416,47418,47449],{"className":47417},[726,727],[120,47419,47421,47446],{"className":47420},[731],[120,47422,47424,47432],{"className":47423,"style":42254},[735],[120,47425,47426,47429],{"style":19224},[120,47427],{"className":47428,"style":744},[743],[120,47430,5525],{"className":47431,"style":5542},[175,176,751],[120,47433,47436,47439],{"className":47434,"style":47435},[10529],"width:calc(100% - 0.1667em);margin-left:0.1667em;top:-3.3944em;",[120,47437],{"className":47438,"style":744},[743],[120,47440,47442],{"className":47441,"style":42272},[751],[10555,47443,47444],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,47445],{"d":42281},[120,47447,762],{"className":47448},[761],[120,47450,47452],{"className":47451},[731],[120,47453,47455],{"className":47454,"style":30158},[735],[120,47456],{},[120,47458,152],{"className":47459},[188,751],[120,47461,762],{"className":47462},[761],[120,47464,47466],{"className":47465},[731],[120,47467,47469],{"className":47468,"style":5762},[735],[120,47470],{},[120,47472],{"className":47473},[188,1113],[21,47475,47476],{},"因此：",[21,47478,47479],{},[120,47480,47482,47578],{"className":47481},[123],[120,47483,47485],{"className":47484},[127],[129,47486,47487],{"xmlns":131},[133,47488,47489,47575],{},[136,47490,47491,47493,47495,47513,47515,47517,47519,47531,47533,47543,47545],{},[139,47492,5230],{},[143,47494,5233],{},[136,47496,47497,47499,47511],{},[143,47498,146],{"fence":162},[629,47500,47501,47503],{},[139,47502,5525],{},[136,47504,47505,47507,47509],{},[139,47506,35535],{},[143,47508,5577],{"separator":162},[139,47510,26229],{},[143,47512,152],{"fence":162},[143,47514,358],{},[139,47516,5230],{},[143,47518,5233],{},[136,47520,47521,47523,47529],{},[143,47522,146],{"fence":162},[3081,47524,47525,47527],{"accent":162},[139,47526,5525],{},[143,47528,42228],{"stretchy":162},[143,47530,152],{"fence":162},[143,47532,46668],{},[629,47534,47535,47537],{},[139,47536,46673],{},[1043,47538,47539,47541],{},[139,47540,46678],{},[360,47542,9849],{},[143,47544,42532],{},[1043,47546,47547,47569],{},[10376,47548,47549],{},[136,47550,47551,47553,47555,47557],{},[139,47552,45464],{},[139,47554,29285],{},[139,47556,24176],{},[136,47558,47559,47561,47567],{},[143,47560,146],{"fence":162},[3081,47562,47563,47565],{"accent":162},[139,47564,5525],{},[143,47566,42228],{"stretchy":162},[143,47568,152],{"fence":162},[3081,47570,47571,47573],{"accent":162},[139,47572,5525],{},[143,47574,42228],{"stretchy":162},[154,47576,47577],{"encoding":156},"\\ln\\left( \\beta_{U,L} \\right) = \\ln\\left( \\widehat{\\beta} \\right) \\pm z_{\\frac{\\alpha}{2}} \\cdot \\frac{\\sqrt{Var\\left( \\widehat{\\beta} \\right)}}{\\widehat{\\beta}}",[120,47579,47581,47660,47739,47862],{"className":47580,"ariaHidden":162},[161],[120,47582,47584,47587,47590,47593,47651,47654,47657],{"className":47583},[166],[120,47585],{"className":47586,"style":46727},[170],[120,47588,5230],{"className":47589},[879],[120,47591],{"className":47592,"style":993},[398],[120,47594,47596,47599,47648],{"className":47595},[2781],[120,47597,146],{"className":47598,"style":2786},[181,2785],[120,47600,47602,47605],{"className":47601},[175],[120,47603,5525],{"className":47604,"style":5542},[175,176],[120,47606,47608],{"className":47607},[722],[120,47609,47611,47640],{"className":47610},[726,727],[120,47612,47614,47637],{"className":47613},[731],[120,47615,47617],{"className":47616,"style":33392},[735],[120,47618,47619,47622],{"style":46760},[120,47620],{"className":47621,"style":744},[743],[120,47623,47625],{"className":47624},[748,749,750,751],[120,47626,47628,47631,47634],{"className":47627},[175,751],[120,47629,35535],{"className":47630,"style":1859},[175,176,751],[120,47632,5577],{"className":47633},[5661,751],[120,47635,26229],{"className":47636},[175,176,751],[120,47638,762],{"className":47639},[761],[120,47641,47643],{"className":47642},[731],[120,47644,47646],{"className":47645,"style":20342},[735],[120,47647],{},[120,47649,152],{"className":47650,"style":2786},[188,2785],[120,47652],{"className":47653,"style":399},[398],[120,47655,358],{"className":47656},[403],[120,47658],{"className":47659,"style":399},[398],[120,47661,47663,47666,47669,47672,47730,47733,47736],{"className":47662},[166],[120,47664],{"className":47665,"style":3456},[170],[120,47667,5230],{"className":47668},[879],[120,47670],{"className":47671,"style":993},[398],[120,47673,47675,47681,47724],{"className":47674},[2781],[120,47676,47678],{"className":47677,"style":2786},[181,2785],[120,47679,146],{"className":47680},[2790,3472],[120,47682,47684],{"className":47683},[175,3378],[120,47685,47687,47716],{"className":47686},[726,727],[120,47688,47690,47713],{"className":47689},[731],[120,47691,47693,47701],{"className":47692,"style":42254},[735],[120,47694,47695,47698],{"style":3116},[120,47696],{"className":47697,"style":1133},[743],[120,47699,5525],{"className":47700,"style":5542},[175,176],[120,47702,47704,47707],{"className":47703,"style":42266},[10529],[120,47705],{"className":47706,"style":1133},[743],[120,47708,47709],{"style":42272},[10555,47710,47711],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,47712],{"d":42281},[120,47714,762],{"className":47715},[761],[120,47717,47719],{"className":47718},[731],[120,47720,47722],{"className":47721,"style":30158},[735],[120,47723],{},[120,47725,47727],{"className":47726,"style":2786},[188,2785],[120,47728,152],{"className":47729},[2790,3472],[120,47731],{"className":47732,"style":1352},[398],[120,47734,46668],{"className":47735},[1356],[120,47737],{"className":47738,"style":1352},[398],[120,47740,47742,47745,47853,47856,47859],{"className":47741},[166],[120,47743],{"className":47744,"style":46890},[170],[120,47746,47748,47751],{"className":47747},[175],[120,47749,46673],{"className":47750,"style":46897},[175,176],[120,47752,47754],{"className":47753},[722],[120,47755,47757,47845],{"className":47756},[726,727],[120,47758,47760,47842],{"className":47759},[731],[120,47761,47763],{"className":47762,"style":46910},[735],[120,47764,47765,47768],{"style":46913},[120,47766],{"className":47767,"style":1133},[743],[120,47769,47771],{"className":47770},[748,749,750,751],[120,47772,47774],{"className":47773},[175,751],[120,47775,47777,47780,47839],{"className":47776},[175,751],[120,47778],{"className":47779},[181,1113,748,958,5941],[120,47781,47783],{"className":47782},[1043],[120,47784,47786,47831],{"className":47785},[726,727],[120,47787,47789,47828],{"className":47788},[731],[120,47790,47792,47806,47814],{"className":47791,"style":46941},[735],[120,47793,47794,47797],{"style":5967},[120,47795],{"className":47796,"style":1133},[743],[120,47798,47800],{"className":47799},[748,958,959,751],[120,47801,47803],{"className":47802},[175,751],[120,47804,9849],{"className":47805},[175,751],[120,47807,47808,47811],{"style":5982},[120,47809],{"className":47810,"style":1133},[743],[120,47812],{"className":47813,"style":5989},[1155,751],[120,47815,47816,47819],{"style":5992},[120,47817],{"className":47818,"style":1133},[743],[120,47820,47822],{"className":47821},[748,958,959,751],[120,47823,47825],{"className":47824},[175,751],[120,47826,46678],{"className":47827,"style":46978},[175,176,751],[120,47829,762],{"className":47830},[761],[120,47832,47834],{"className":47833},[731],[120,47835,47837],{"className":47836,"style":10712},[735],[120,47838],{},[120,47840],{"className":47841},[188,1113,748,958,5941],[120,47843,762],{"className":47844},[761],[120,47846,47848],{"className":47847},[731],[120,47849,47851],{"className":47850,"style":47002},[735],[120,47852],{},[120,47854],{"className":47855,"style":1352},[398],[120,47857,42532],{"className":47858},[1356],[120,47860],{"className":47861,"style":1352},[398],[120,47863,47865,47869],{"className":47864},[166],[120,47866],{"className":47867,"style":47868},[170],"height:2.1298em;vertical-align:-0.6002em;",[120,47870,47872,47875,48095],{"className":47871},[175],[120,47873],{"className":47874},[181,1113],[120,47876,47878],{"className":47877},[1043],[120,47879,47881,48086],{"className":47880},[726,727],[120,47882,47884,48083],{"className":47883},[731],[120,47885,47888,47944,47952],{"className":47886,"style":47887},[735],"height:1.5296em;",[120,47889,47891,47894],{"style":47890},"top:-2.5359em;",[120,47892],{"className":47893,"style":1133},[743],[120,47895,47897],{"className":47896},[748,749,750,751],[120,47898,47900],{"className":47899},[175,751],[120,47901,47903],{"className":47902},[175,3378,751],[120,47904,47906,47936],{"className":47905},[726,727],[120,47907,47909,47933],{"className":47908},[731],[120,47910,47912,47920],{"className":47911,"style":42254},[735],[120,47913,47914,47917],{"style":19224},[120,47915],{"className":47916,"style":744},[743],[120,47918,5525],{"className":47919,"style":5542},[175,176,751],[120,47921,47923,47926],{"className":47922,"style":47435},[10529],[120,47924],{"className":47925,"style":744},[743],[120,47927,47929],{"className":47928,"style":42272},[751],[10555,47930,47931],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,47932],{"d":42281},[120,47934,762],{"className":47935},[761],[120,47937,47939],{"className":47938},[731],[120,47940,47942],{"className":47941,"style":30158},[735],[120,47943],{},[120,47945,47946,47949],{"style":1148},[120,47947],{"className":47948,"style":1133},[743],[120,47950],{"className":47951,"style":1156},[1155],[120,47953,47955,47958],{"style":47954},"top:-3.6813em;",[120,47956],{"className":47957,"style":1133},[743],[120,47959,47961],{"className":47960},[748,749,750,751],[120,47962,47964],{"className":47963},[175,751],[120,47965,47967],{"className":47966},[175,10515,751],[120,47968,47970,48074],{"className":47969},[726,727],[120,47971,47973,48071],{"className":47972},[731],[120,47974,47977,48054],{"className":47975,"style":47976},[735],"height:1.2119em;",[120,47978,47981,47985],{"className":47979,"style":47980},[10529],"top:-3.7143em;",[120,47982],{"className":47983,"style":47984},[743],"height:3.7143em;",[120,47986,47989,47992,47995],{"className":47987,"style":47988},[175,751],"padding-left:1.4286em;",[120,47990,45959],{"className":47991},[175,176,751],[120,47993,24176],{"className":47994,"style":24205},[175,176,751],[120,47996,47998,48004,48048],{"className":47997},[2781,751],[120,47999,48001],{"className":48000,"style":5942},[181,748,958,5941,751,2785],[120,48002,146],{"className":48003},[751],[120,48005,48007],{"className":48006},[175,3378,751],[120,48008,48010,48040],{"className":48009},[726,727],[120,48011,48013,48037],{"className":48012},[731],[120,48014,48016,48024],{"className":48015,"style":42254},[735],[120,48017,48018,48021],{"style":19224},[120,48019],{"className":48020,"style":744},[743],[120,48022,5525],{"className":48023,"style":5542},[175,176,751],[120,48025,48027,48030],{"className":48026,"style":47435},[10529],[120,48028],{"className":48029,"style":744},[743],[120,48031,48033],{"className":48032,"style":42272},[751],[10555,48034,48035],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,48036],{"d":42281},[120,48038,762],{"className":48039},[761],[120,48041,48043],{"className":48042},[731],[120,48044,48046],{"className":48045,"style":30158},[735],[120,48047],{},[120,48049,48051],{"className":48050,"style":5942},[188,748,958,5941,751,2785],[120,48052,152],{"className":48053},[751],[120,48055,48057,48060],{"style":48056},"top:-3.1839em;",[120,48058],{"className":48059,"style":47984},[743],[120,48061,48064],{"className":48062,"style":48063},[10552,751],"min-width:1.02em;height:1.8286em;",[10555,48065,48068],{"xmlns":10557,"width":10558,"height":48066,"viewBox":48067,"preserveAspectRatio":10561},"1.8286em","0 0 400000 1296",[10563,48069],{"d":48070},"M263,681c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl0 -0\nc4.7,-7.3,11,-11,19,-11\nH40000v40H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM1001 80h400000v40h-400000z",[120,48072,762],{"className":48073},[761],[120,48075,48077],{"className":48076},[731],[120,48078,48081],{"className":48079,"style":48080},[735],"height:0.5304em;",[120,48082],{},[120,48084,762],{"className":48085},[761],[120,48087,48089],{"className":48088},[731],[120,48090,48093],{"className":48091,"style":48092},[735],"height:0.6002em;",[120,48094],{},[120,48096],{"className":48097},[188,1113],[21,48099,48100,48101,48153,48154,189],{},"对于 90% 置信水平，",[120,48102,48104,48123],{"className":48103},[123],[120,48105,48107],{"className":48106},[127],[129,48108,48109],{"xmlns":131},[133,48110,48111,48120],{},[136,48112,48113,48115,48117],{},[139,48114,46678],{},[143,48116,358],{},[360,48118,48119],{},"0.1",[154,48121,48122],{"encoding":156},"\\alpha=0.1",[120,48124,48126,48144],{"className":48125,"ariaHidden":162},[161],[120,48127,48129,48132,48135,48138,48141],{"className":48128},[166],[120,48130],{"className":48131,"style":10900},[170],[120,48133,46678],{"className":48134,"style":46978},[175,176],[120,48136],{"className":48137,"style":399},[398],[120,48139,358],{"className":48140},[403],[120,48142],{"className":48143,"style":399},[398],[120,48145,48147,48150],{"className":48146},[166],[120,48148],{"className":48149,"style":447},[170],[120,48151,48119],{"className":48152},[175],"，",[120,48155,48157,48186],{"className":48156},[123],[120,48158,48160],{"className":48159},[127],[129,48161,48162],{"xmlns":131},[133,48163,48164,48183],{},[136,48165,48166,48178,48180],{},[629,48167,48168,48170],{},[139,48169,46673],{},[136,48171,48172,48174,48176],{},[139,48173,46678],{},[139,48175,2520],{"mathvariant":672},[360,48177,9849],{},[143,48179,358],{},[360,48181,48182],{},"1.64",[154,48184,48185],{"encoding":156},"z_{\\alpha/2}=1.64",[120,48187,48189,48255],{"className":48188,"ariaHidden":162},[161],[120,48190,48192,48196,48246,48249,48252],{"className":48191},[166],[120,48193],{"className":48194,"style":48195},[170],"height:0.7858em;vertical-align:-0.3552em;",[120,48197,48199,48202],{"className":48198},[175],[120,48200,46673],{"className":48201,"style":46897},[175,176],[120,48203,48205],{"className":48204},[722],[120,48206,48208,48237],{"className":48207},[726,727],[120,48209,48211,48234],{"className":48210},[731],[120,48212,48215],{"className":48213,"style":48214},[735],"height:0.3448em;",[120,48216,48218,48221],{"style":48217},"top:-2.5198em;margin-left:-0.044em;margin-right:0.05em;",[120,48219],{"className":48220,"style":744},[743],[120,48222,48224],{"className":48223},[748,749,750,751],[120,48225,48227,48230],{"className":48226},[175,751],[120,48228,46678],{"className":48229,"style":46978},[175,176,751],[120,48231,48233],{"className":48232},[175,751],"/2",[120,48235,762],{"className":48236},[761],[120,48238,48240],{"className":48239},[731],[120,48241,48244],{"className":48242,"style":48243},[735],"height:0.3552em;",[120,48245],{},[120,48247],{"className":48248,"style":399},[398],[120,48250,358],{"className":48251},[403],[120,48253],{"className":48254,"style":399},[398],[120,48256,48258,48261],{"className":48257},[166],[120,48259],{"className":48260,"style":447},[170],[120,48262,48182],{"className":48263},[175],[62,48265],{"src":48266,"alt":48267,"width":77},"/media/image44.png","ln(beta) 的 90% Fisher 矩阵置信限",[21,48269,48270,48315],{},[120,48271,48273,48294],{"className":48272},[123],[120,48274,48276],{"className":48275},[127],[129,48277,48278],{"xmlns":131},[133,48279,48280,48292],{},[136,48281,48282,48284,48286,48288,48290],{},[139,48283,5230],{},[143,48285,5233],{},[143,48287,146],{"stretchy":145},[139,48289,5525],{},[143,48291,152],{"stretchy":145},[154,48293,46452],{"encoding":156},[120,48295,48297],{"className":48296,"ariaHidden":162},[161],[120,48298,48300,48303,48306,48309,48312],{"className":48299},[166],[120,48301],{"className":48302,"style":171},[170],[120,48304,5230],{"className":48305},[879],[120,48307,146],{"className":48308},[181],[120,48310,5525],{"className":48311,"style":5542},[175,176],[120,48313,152],{"className":48314},[188]," 的 90% Fisher 矩阵置信限",[21,48317,48318,48319,48348,48349,48377],{},"置信水平 ",[120,48320,48322,48336],{"className":48321},[123],[120,48323,48325],{"className":48324},[127],[129,48326,48327],{"xmlns":131},[133,48328,48329,48333],{},[136,48330,48331],{},[139,48332,46678],{},[154,48334,48335],{"encoding":156},"\\alpha",[120,48337,48339],{"className":48338,"ariaHidden":162},[161],[120,48340,48342,48345],{"className":48341},[166],[120,48343],{"className":48344,"style":10900},[170],[120,48346,46678],{"className":48347,"style":46978},[175,176]," 下 ",[120,48350,48352,48365],{"className":48351},[123],[120,48353,48355],{"className":48354},[127],[129,48356,48357],{"xmlns":131},[133,48358,48359,48363],{},[136,48360,48361],{},[139,48362,5525],{},[154,48364,5528],{"encoding":156},[120,48366,48368],{"className":48367,"ariaHidden":162},[161],[120,48369,48371,48374],{"className":48370},[166],[120,48372],{"className":48373,"style":5538},[170],[120,48375,5525],{"className":48376,"style":5542},[175,176]," 的双侧置信限为：",[21,48379,48380],{},[120,48381,48383,48465],{"className":48382},[123],[120,48384,48386],{"className":48385},[127],[129,48387,48388],{"xmlns":131},[133,48389,48390,48462],{},[136,48391,48392,48404,48406,48412,48414],{},[629,48393,48394,48396],{},[139,48395,5525],{},[136,48397,48398,48400,48402],{},[139,48399,35535],{},[143,48401,5577],{"separator":162},[139,48403,26229],{},[143,48405,358],{},[3081,48407,48408,48410],{"accent":162},[139,48409,5525],{},[143,48411,42228],{"stretchy":162},[143,48413,1693],{},[3621,48415,48416,48418],{},[139,48417,3629],{},[136,48419,48420,48422,48432],{},[143,48421,46668],{},[629,48423,48424,48426],{},[139,48425,46673],{},[1043,48427,48428,48430],{},[139,48429,46678],{},[360,48431,9849],{},[1043,48433,48434,48456],{},[10376,48435,48436],{},[136,48437,48438,48440,48442,48444],{},[139,48439,45464],{},[139,48441,29285],{},[139,48443,24176],{},[136,48445,48446,48448,48454],{},[143,48447,146],{"fence":162},[3081,48449,48450,48452],{"accent":162},[139,48451,5525],{},[143,48453,42228],{"stretchy":162},[143,48455,152],{"fence":162},[3081,48457,48458,48460],{"accent":162},[139,48459,5525],{},[143,48461,42228],{"stretchy":162},[154,48463,48464],{"encoding":156},"\\beta_{U,L} = \\widehat{\\beta} \\bullet e^{\\pm z_{\\frac{\\alpha}{2}}\\frac{\\sqrt{Var\\left( \\widehat{\\beta} 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0.1111em);margin-left:0.1111em;top:-3.1306em;",[120,49444],{"className":49445,"style":744},[743],[120,49447,49449],{"className":49448,"style":42272},[751],[10555,49450,49451],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,49452],{"d":42281},[120,49454,762],{"className":49455},[761],[120,49457,49459],{"className":49458},[731],[120,49460,49462],{"className":49461,"style":30158},[735],[120,49463],{},[120,49465,49466,49469],{"style":1148},[120,49467],{"className":49468,"style":1133},[743],[120,49470],{"className":49471,"style":1156},[1155],[120,49473,49475,49478],{"style":49474},"top:-3.6038em;",[120,49476],{"className":49477,"style":1133},[743],[120,49479,49481],{"className":49480},[748,749,750,751],[120,49482,49484],{"className":49483},[175,751],[120,49485,49487],{"className":49486},[175,10515,751],[120,49488,49490,49592],{"className":49489},[726,727],[120,49491,49493,49589],{"className":49492},[731],[120,49494,49497,49574],{"className":49495,"style":49496},[735],"height:1.0369em;",[120,49498,49501,49505],{"className":49499,"style":49500},[10529],"top:-3.4286em;",[120,49502],{"className":49503,"style":49504},[743],"height:3.4286em;",[120,49506,49509,49512,49515],{"className":49507,"style":49508},[175,751],"padding-left:1.19em;",[120,49510,45959],{"className":49511},[175,176,751],[120,49513,24176],{"className":49514,"style":24205},[175,176,751],[120,49516,49518,49524,49568],{"className":49517},[2781,751],[120,49519,49521],{"className":49520,"style":2786},[181,751,2785],[120,49522,146],{"className":49523},[751],[120,49525,49527],{"className":49526},[175,3378,751],[120,49528,49530,49560],{"className":49529},[726,727],[120,49531,49533,49557],{"className":49532},[731],[120,49534,49536,49544],{"className":49535,"style":42336},[735],[120,49537,49538,49541],{"style":19224},[120,49539],{"className":49540,"style":744},[743],[120,49542,5580],{"className":49543,"style":5677},[175,176,751],[120,49545,49547,49550],{"className":49546,"style":49442},[10529],[120,49548],{"className":49549,"style":744},[743],[120,49551,49553],{"className":49552,"style":42272},[751],[10555,49554,49555],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,49556],{"d":42281},[120,49558,762],{"className":49559},[761],[120,49561,49563],{"className":49562},[731],[120,49564,49566],{"className":49565,"style":30158},[735],[120,49567],{},[120,49569,49571],{"className":49570,"style":2786},[188,751,2785],[120,49572,152],{"className":49573},[751],[120,49575,49577,49580],{"style":49576},"top:-3.0089em;",[120,49578],{"className":49579,"style":49504},[743],[120,49581,49584],{"className":49582,"style":49583},[10552,751],"min-width:0.853em;height:1.5429em;",[10555,49585,49587],{"xmlns":10557,"width":10558,"height":49586,"viewBox":10560,"preserveAspectRatio":10561},"1.5429em",[10563,49588],{"d":10565},[120,49590,762],{"className":49591},[761],[120,49593,49595],{"className":49594},[731],[120,49596,49599],{"className":49597,"style":49598},[735],"height:0.4197em;",[120,49600],{},[120,49602,762],{"className":49603},[761],[120,49605,49607],{"className":49606},[731],[120,49608,49610],{"className":49609,"style":5762},[735],[120,49611],{},[120,49613],{"className":49614},[188,1113],[62,49616],{"src":49617,"alt":49618,"width":49619},"/media/image45.png","ln(eta) 的 90% Fisher 矩阵置信限",520,[21,49621,49622,48315],{},[120,49623,49625,49646],{"className":49624},[123],[120,49626,49628],{"className":49627},[127],[129,49629,49630],{"xmlns":131},[133,49631,49632,49644],{},[136,49633,49634,49636,49638,49640,49642],{},[139,49635,5230],{},[143,49637,5233],{},[143,49639,146],{"stretchy":145},[139,49641,5580],{},[143,49643,152],{"stretchy":145},[154,49645,46498],{"encoding":156},[120,49647,49649],{"className":49648,"ariaHidden":162},[161],[120,49650,49652,49655,49658,49661,49664],{"className":49651},[166],[120,49653],{"className":49654,"style":171},[170],[120,49656,5230],{"className":49657},[879],[120,49659,146],{"className":49660},[181],[120,49662,5580],{"className":49663,"style":5677},[175,176],[120,49665,152],{"className":49666},[188],[21,49668,49669],{},[120,49670,49672,49754],{"className":49671},[123],[120,49673,49675],{"className":49674},[127],[129,49676,49677],{"xmlns":131},[133,49678,49679,49751],{},[136,49680,49681,49693,49695,49701,49703],{},[629,49682,49683,49685],{},[139,49684,5580],{},[136,49686,49687,49689,49691],{},[139,49688,35535],{},[143,49690,5577],{"separator":162},[139,49692,26229],{},[143,49694,358],{},[3081,49696,49697,49699],{"accent":162},[139,49698,5580],{},[143,49700,42228],{"stretchy":162},[143,49702,1693],{},[3621,49704,49705,49707],{},[139,49706,3629],{},[136,49708,49709,49711,49721],{},[143,49710,46668],{},[629,49712,49713,49715],{},[139,49714,46673],{},[1043,49716,49717,49719],{},[139,49718,46678],{},[360,49720,9849],{},[1043,49722,49723,49745],{},[10376,49724,49725],{},[136,49726,49727,49729,49731,49733],{},[139,49728,45464],{},[139,49730,29285],{},[139,49732,24176],{},[136,49734,49735,49737,49743],{},[143,49736,146],{"fence":162},[3081,49738,49739,49741],{"accent":162},[139,49740,5580],{},[143,49742,42228],{"stretchy":162},[143,49744,152],{"fence":162},[3081,49746,49747,49749],{"accent":162},[139,49748,5580],{},[143,49750,42228],{"stretchy":162},[154,49752,49753],{"encoding":156},"\\eta_{U,L} = \\widehat{\\eta} \\bullet e^{\\pm z_{\\frac{\\alpha}{2}}\\frac{\\sqrt{Var\\left( \\widehat{\\eta} \\right)}}{\\widehat{\\eta}}}",[120,49755,49757,49821,49879],{"className":49756,"ariaHidden":162},[161],[120,49758,49760,49763,49812,49815,49818],{"className":49759},[166],[120,49761],{"className":49762,"style":20376},[170],[120,49764,49766,49769],{"className":49765},[175],[120,49767,5580],{"className":49768,"style":5677},[175,176],[120,49770,49772],{"className":49771},[722],[120,49773,49775,49804],{"className":49774},[726,727],[120,49776,49778,49801],{"className":49777},[731],[120,49779,49781],{"className":49780,"style":33392},[735],[120,49782,49783,49786],{"style":19903},[120,49784],{"className":49785,"style":744},[743],[120,49787,49789],{"className":49788},[748,749,750,751],[120,49790,49792,49795,49798],{"className":49791},[175,751],[120,49793,35535],{"className":49794,"style":1859},[175,176,751],[120,49796,5577],{"className":49797},[5661,751],[120,49799,26229],{"className":49800},[175,176,751],[120,49802,762],{"className":49803},[761],[120,49805,49807],{"className":49806},[731],[120,49808,49810],{"className":49809,"style":20342},[735],[120,49811],{},[120,49813],{"className":49814,"style":399},[398],[120,49816,358],{"className":49817},[403],[120,49819],{"className":49820,"style":399},[398],[120,49822,49824,49827,49870,49873,49876],{"className":49823},[166],[120,49825],{"className":49826,"style":42323},[170],[120,49828,49830],{"className":49829},[175,3378],[120,49831,49833,49862],{"className":49832},[726,727],[120,49834,49836,49859],{"className":49835},[731],[120,49837,49839,49847],{"className":49838,"style":42336},[735],[120,49840,49841,49844],{"style":3116},[120,49842],{"className":49843,"style":1133},[743],[120,49845,5580],{"className":49846,"style":5677},[175,176],[120,49848,49850,49853],{"className":49849,"style":42348},[10529],[120,49851],{"className":49852,"style":1133},[743],[120,49854,49855],{"style":42272},[10555,49856,49857],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,49858],{"d":42281},[120,49860,762],{"className":49861},[761],[120,49863,49865],{"className":49864},[731],[120,49866,49868],{"className":49867,"style":30158},[735],[120,49869],{},[120,49871],{"className":49872,"style":1352},[398],[120,49874,1693],{"className":49875},[1356],[120,49877],{"className":49878,"style":1352},[398],[120,49880,49882,49886],{"className":49881},[166],[120,49883],{"className":49884,"style":49885},[170],"height:1.4959em;",[120,49887,49889,49892],{"className":49888},[175],[120,49890,3629],{"className":49891},[175,176],[120,49893,49895],{"className":49894},[722],[120,49896,49898],{"className":49897},[726],[120,49899,49901],{"className":49900},[731],[120,49902,49904],{"className":49903,"style":49885},[735],[120,49905,49907,49910],{"style":49906},"top:-3.5412em;margin-right:0.05em;",[120,49908],{"className":49909,"style":1133},[743],[120,49911,49913],{"className":49912},[748,749,750,751],[120,49914,49916,49919,50021],{"className":49915},[175,751],[120,49917,46668],{"className":49918},[175,751],[120,49920,49922,49925],{"className":49921},[175,751],[120,49923,46673],{"className":49924,"style":46897},[175,176,751],[120,49926,49928],{"className":49927},[722],[120,49929,49931,50013],{"className":49930},[726,727],[120,49932,49934,50010],{"className":49933},[731],[120,49935,49937],{"className":49936,"style":48214},[735],[120,49938,49939,49942],{"style":48652},[120,49940],{"className":49941,"style":1133},[743],[120,49943,49945],{"className":49944},[748,958,959,751],[120,49946,49948],{"className":49947},[175,751],[120,49949,49951,49954,50007],{"className":49950},[175,751],[120,49952],{"className":49953},[181,1113,748,48668,5941],[120,49955,49957],{"className":49956},[1043],[120,49958,49960,49999],{"className":49959},[726,727],[120,49961,49963,49996],{"className":49962},[731],[120,49964,49966,49977,49985],{"className":49965,"style":48681},[735],[120,49967,49968,49971],{"style":40301},[120,49969],{"className":49970,"style":1133},[743],[120,49972,49974],{"className":49973},[175,751],[120,49975,9849],{"className":49976},[175,751],[120,49978,49979,49982],{"style":5982},[120,49980],{"className":49981,"style":1133},[743],[120,49983],{"className":49984,"style":5989},[1155,751],[120,49986,49987,49990],{"style":40324},[120,49988],{"className":49989,"style":1133},[743],[120,49991,49993],{"className":49992},[175,751],[120,49994,46678],{"className":49995,"style":46978},[175,176,751],[120,49997,762],{"className":49998},[761],[120,50000,50002],{"className":50001},[731],[120,50003,50005],{"className":50004,"style":41956},[735],[120,50006],{},[120,50008],{"className":50009},[188,1113,748,48668,5941],[120,50011,762],{"className":50012},[761],[120,50014,50016],{"className":50015},[731],[120,50017,50019],{"className":50018,"style":48735},[735],[120,50020],{},[120,50022,50024,50027,50237],{"className":50023},[175,751],[120,50025],{"className":50026},[181,1113,748,958,5941],[120,50028,50030],{"className":50029},[1043],[120,50031,50033,50229],{"className":50032},[726,727],[120,50034,50036,50226],{"className":50035},[731],[120,50037,50040,50097,50105],{"className":50038,"style":50039},[735],"height:1.3639em;",[120,50041,50042,50045],{"style":5967},[120,50043],{"className":50044,"style":1133},[743],[120,50046,50048],{"className":50047},[748,958,959,751],[120,50049,50051],{"className":50050},[175,751],[120,50052,50054],{"className":50053},[175,3378,751],[120,50055,50057,50089],{"className":50056},[726,727],[120,50058,50060,50086],{"className":50059},[731],[120,50061,50063,50072],{"className":50062,"style":42336},[735],[120,50064,50066,50069],{"style":50065},"top:-2.5em;",[120,50067],{"className":50068,"style":954},[743],[120,50070,5580],{"className":50071,"style":5677},[175,176,751],[120,50073,50076,50079],{"className":50074,"style":50075},[10529],"width:calc(100% - 0.1111em);margin-left:0.1111em;top:-2.9306em;",[120,50077],{"className":50078,"style":954},[743],[120,50080,50082],{"className":50081,"style":42272},[751],[10555,50083,50084],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,50085],{"d":42281},[120,50087,762],{"className":50088},[761],[120,50090,50092],{"className":50091},[731],[120,50093,50095],{"className":50094,"style":30158},[735],[120,50096],{},[120,50098,50099,50102],{"style":5982},[120,50100],{"className":50101,"style":1133},[743],[120,50103],{"className":50104,"style":5989},[1155,751],[120,50106,50108,50111],{"style":50107},"top:-3.6233em;",[120,50109],{"className":50110,"style":1133},[743],[120,50112,50114],{"className":50113},[748,958,959,751],[120,50115,50117],{"className":50116},[175,751],[120,50118,50120],{"className":50119},[175,10515,751],[120,50121,50123,50218],{"className":50122},[726,727],[120,50124,50126,50215],{"className":50125},[731],[120,50127,50129,50203],{"className":50128,"style":49496},[735],[120,50130,50132,50135],{"className":50131,"style":49500},[10529],[120,50133],{"className":50134,"style":49504},[743],[120,50136,50138,50141,50144],{"className":50137,"style":49508},[175,751],[120,50139,45959],{"className":50140},[175,176,751],[120,50142,24176],{"className":50143,"style":24205},[175,176,751],[120,50145,50147,50153,50197],{"className":50146},[2781,751],[120,50148,50150],{"className":50149,"style":2786},[181,751,2785],[120,50151,146],{"className":50152},[751],[120,50154,50156],{"className":50155},[175,3378,751],[120,50157,50159,50189],{"className":50158},[726,727],[120,50160,50162,50186],{"className":50161},[731],[120,50163,50165,50173],{"className":50164,"style":42336},[735],[120,50166,50167,50170],{"style":50065},[120,50168],{"className":50169,"style":954},[743],[120,50171,5580],{"className":50172,"style":5677},[175,176,751],[120,50174,50176,50179],{"className":50175,"style":50075},[10529],[120,50177],{"className":50178,"style":954},[743],[120,50180,50182],{"className":50181,"style":42272},[751],[10555,50183,50184],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,50185],{"d":42281},[120,50187,762],{"className":50188},[761],[120,50190,50192],{"className":50191},[731],[120,50193,50195],{"className":50194,"style":30158},[735],[120,50196],{},[120,50198,50200],{"className":50199,"style":2786},[188,751,2785],[120,50201,152],{"className":50202},[751],[120,50204,50205,50208],{"style":49576},[120,50206],{"className":50207,"style":49504},[743],[120,50209,50211],{"className":50210,"style":49583},[10552,751],[10555,50212,50213],{"xmlns":10557,"width":10558,"height":49586,"viewBox":10560,"preserveAspectRatio":10561},[10563,50214],{"d":10565},[120,50216,762],{"className":50217},[761],[120,50219,50221],{"className":50220},[731],[120,50222,50224],{"className":50223,"style":49598},[735],[120,50225],{},[120,50227,762],{"className":50228},[761],[120,50230,50232],{"className":50231},[731],[120,50233,50235],{"className":50234,"style":6014},[735],[120,50236],{},[120,50238],{"className":50239},[188,1113,748,958,5941],[21,50241,50242],{},[37,50243,50244],{},"示例",[21,50246,50247,50248,50250],{},"将数据集 ",[19768,50249,19774],{}," 使用 RRX 拟合至二参数威布尔分布，求参数的 90% 置信限。",[21,50252,50253,50254,48153,50306,189],{},"RRX 解为：",[120,50255,50257,50276],{"className":50256},[123],[120,50258,50260],{"className":50259},[127],[129,50261,50262],{"xmlns":131},[133,50263,50264,50273],{},[136,50265,50266,50268,50270],{},[139,50267,5525],{},[143,50269,358],{},[360,50271,50272],{},"2.55",[154,50274,50275],{"encoding":156},"\\beta=2.55",[120,50277,50279,50297],{"className":50278,"ariaHidden":162},[161],[120,50280,50282,50285,50288,50291,50294],{"className":50281},[166],[120,50283],{"className":50284,"style":5538},[170],[120,50286,5525],{"className":50287,"style":5542},[175,176],[120,50289],{"className":50290,"style":399},[398],[120,50292,358],{"className":50293},[403],[120,50295],{"className":50296,"style":399},[398],[120,50298,50300,50303],{"className":50299},[166],[120,50301],{"className":50302,"style":447},[170],[120,50304,50272],{"className":50305},[175],[120,50307,50309,50328],{"className":50308},[123],[120,50310,50312],{"className":50311},[127],[129,50313,50314],{"xmlns":131},[133,50315,50316,50325],{},[136,50317,50318,50320,50322],{},[139,50319,5580],{},[143,50321,358],{},[360,50323,50324],{},"39.9",[154,50326,50327],{"encoding":156},"\\eta=39.9",[120,50329,50331,50349],{"className":50330,"ariaHidden":162},[161],[120,50332,50334,50337,50340,50343,50346],{"className":50333},[166],[120,50335],{"className":50336,"style":6115},[170],[120,50338,5580],{"className":50339,"style":5677},[175,176],[120,50341],{"className":50342,"style":399},[398],[120,50344,358],{"className":50345},[403],[120,50347],{"className":50348,"style":399},[398],[120,50350,50352,50355],{"className":50351},[166],[120,50353],{"className":50354,"style":447},[170],[120,50356,50324],{"className":50357},[175],[21,50359,50360],{},"Fisher 信息矩阵：",[120,50362,50364],{"className":50363},[1588],[120,50365,50367,50432],{"className":50366},[123],[120,50368,50370],{"className":50369},[127],[129,50371,50372],{"xmlns":131,"display":1597},[133,50373,50374,50429],{},[136,50375,50376,50378,50380,50382,50384,50386,50388,50390],{},[139,50377,44222],{},[143,50379,146],{"stretchy":145},[139,50381,5525],{},[143,50383,5577],{"separator":162},[139,50385,5580],{},[143,50387,152],{"stretchy":145},[143,50389,358],{},[136,50391,50392,50394,50427],{},[143,50393,3855],{"fence":162},[44305,50395,50396,50412],{"rowspacing":44307,"columnalign":44308,"columnspacing":44309},[44311,50397,50398,50405],{},[44314,50399,50400],{},[38750,50401,50402],{"scriptlevel":523,"displaystyle":145},[360,50403,50404],{},"0.827",[44314,50406,50407],{},[38750,50408,50409],{"scriptlevel":523,"displaystyle":145},[360,50410,50411],{},"0.00486",[44311,50413,50414,50420],{},[44314,50415,50416],{},[38750,50417,50418],{"scriptlevel":523,"displaystyle":145},[360,50419,50411],{},[44314,50421,50422],{},[38750,50423,50424],{"scriptlevel":523,"displaystyle":145},[360,50425,50426],{},"0.0131",[143,50428,3874],{"fence":162},[154,50430,50431],{"encoding":156},"I(\\beta, \\eta) =\n\\begin{bmatrix}\n0.827 & 0.00486 \\\\\n0.00486 & 0.0131\n\\end{bmatrix}",[120,50433,50435,50471],{"className":50434,"ariaHidden":162},[161],[120,50436,50438,50441,50444,50447,50450,50453,50456,50459,50462,50465,50468],{"className":50437},[166],[120,50439],{"className":50440,"style":171},[170],[120,50442,44222],{"className":50443,"style":22573},[175,176],[120,50445,146],{"className":50446},[181],[120,50448,5525],{"className":50449,"style":5542},[175,176],[120,50451,5577],{"className":50452},[5661],[120,50454],{"className":50455,"style":993},[398],[120,50457,5580],{"className":50458,"style":5677},[175,176],[120,50460,152],{"className":50461},[188],[120,50463],{"className":50464,"style":399},[398],[120,50466,358],{"className":50467},[403],[120,50469],{"className":50470,"style":399},[398],[120,50472,50474,50477],{"className":50473},[166],[120,50475],{"className":50476,"style":2735},[170],[120,50478,50480,50486,50592],{"className":50479},[2781],[120,50481,50483],{"className":50482,"style":2786},[181,2785],[120,50484,3855],{"className":50485},[2790,750],[120,50487,50489],{"className":50488},[175],[120,50490,50492,50541,50544,50547],{"className":50491},[44305],[120,50493,50495],{"className":50494},[44554],[120,50496,50498,50532],{"className":50497},[726,727],[120,50499,50501,50529],{"className":50500},[731],[120,50502,50505,50517],{"className":50503,"style":50504},[735],"height:1.45em;",[120,50506,50508,50511],{"style":50507},"top:-3.61em;",[120,50509],{"className":50510,"style":1133},[743],[120,50512,50514],{"className":50513},[175],[120,50515,50404],{"className":50516},[175],[120,50518,50520,50523],{"style":50519},"top:-2.41em;",[120,50521],{"className":50522,"style":1133},[743],[120,50524,50526],{"className":50525},[175],[120,50527,50411],{"className":50528},[175],[120,50530,762],{"className":50531},[761],[120,50533,50535],{"className":50534},[731],[120,50536,50539],{"className":50537,"style":50538},[735],"height:0.95em;",[120,50540],{},[120,50542],{"className":50543,"style":44872},[44871],[120,50545],{"className":50546,"style":44872},[44871],[120,50548,50550],{"className":50549},[44554],[120,50551,50553,50584],{"className":50552},[726,727],[120,50554,50556,50581],{"className":50555},[731],[120,50557,50559,50570],{"className":50558,"style":50504},[735],[120,50560,50561,50564],{"style":50507},[120,50562],{"className":50563,"style":1133},[743],[120,50565,50567],{"className":50566},[175],[120,50568,50411],{"className":50569},[175],[120,50571,50572,50575],{"style":50519},[120,50573],{"className":50574,"style":1133},[743],[120,50576,50578],{"className":50577},[175],[120,50579,50426],{"className":50580},[175],[120,50582,762],{"className":50583},[761],[120,50585,50587],{"className":50586},[731],[120,50588,50590],{"className":50589,"style":50538},[735],[120,50591],{},[120,50593,50595],{"className":50594,"style":2786},[188,2785],[120,50596,3874],{"className":50597},[2790,750],[21,50599,50600],{},"协方差矩阵：",[120,50602,50604],{"className":50603},[1588],[120,50605,50607,50694],{"className":50606},[123],[120,50608,50610],{"className":50609},[127],[129,50611,50612],{"xmlns":131,"display":1597},[133,50613,50614,50691],{},[136,50615,50616,50618,50620,50622,50642,50644],{},[139,50617,22539],{},[139,50619,24173],{},[139,50621,33152],{},[136,50623,50624,50626,50632,50634,50640],{},[143,50625,146],{"fence":162},[3081,50627,50628,50630],{"accent":162},[139,50629,5525],{},[143,50631,42228],{"stretchy":162},[143,50633,5577],{"separator":162},[3081,50635,50636,50638],{"accent":162},[139,50637,5580],{},[143,50639,42228],{"stretchy":162},[143,50641,152],{"fence":162},[143,50643,358],{},[136,50645,50646,50648,50689],{},[143,50647,3855],{"fence":162},[44305,50649,50650,50670],{"rowspacing":44307,"columnalign":44308,"columnspacing":44309},[44311,50651,50652,50659],{},[44314,50653,50654],{},[38750,50655,50656],{"scriptlevel":523,"displaystyle":145},[360,50657,50658],{},"1.215",[44314,50660,50661],{},[38750,50662,50663],{"scriptlevel":523,"displaystyle":145},[136,50664,50665,50667],{},[143,50666,669],{},[360,50668,50669],{},"0.4493",[44311,50671,50672,50682],{},[44314,50673,50674],{},[38750,50675,50676],{"scriptlevel":523,"displaystyle":145},[136,50677,50678,50680],{},[143,50679,669],{},[360,50681,50669],{},[44314,50683,50684],{},[38750,50685,50686],{"scriptlevel":523,"displaystyle":145},[360,50687,50688],{},"76.42",[143,50690,3874],{"fence":162},[154,50692,50693],{"encoding":156},"Cov\\left( \\widehat{\\beta},\\widehat{\\eta} \\right)\n=\n\\begin{bmatrix}\n1.215 & -0.4493 \\\\\n-0.4493 & 76.42\n\\end{bmatrix}",[120,50695,50697,50831],{"className":50696,"ariaHidden":162},[161],[120,50698,50700,50703,50706,50709,50712,50715,50822,50825,50828],{"className":50699},[166],[120,50701],{"className":50702,"style":3456},[170],[120,50704,22539],{"className":50705,"style":22593},[175,176],[120,50707,24173],{"className":50708},[175,176],[120,50710,33152],{"className":50711,"style":5677},[175,176],[120,50713],{"className":50714,"style":993},[398],[120,50716,50718,50724,50767,50770,50773,50816],{"className":50717},[2781],[120,50719,50721],{"className":50720,"style":2786},[181,2785],[120,50722,146],{"className":50723},[2790,3472],[120,50725,50727],{"className":50726},[175,3378],[120,50728,50730,50759],{"className":50729},[726,727],[120,50731,50733,50756],{"className":50732},[731],[120,50734,50736,50744],{"className":50735,"style":42254},[735],[120,50737,50738,50741],{"style":3116},[120,50739],{"className":50740,"style":1133},[743],[120,50742,5525],{"className":50743,"style":5542},[175,176],[120,50745,50747,50750],{"className":50746,"style":42266},[10529],[120,50748],{"className":50749,"style":1133},[743],[120,50751,50752],{"style":42272},[10555,50753,50754],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,50755],{"d":42281},[120,50757,762],{"className":50758},[761],[120,50760,50762],{"className":50761},[731],[120,50763,50765],{"className":50764,"style":30158},[735],[120,50766],{},[120,50768,5577],{"className":50769},[5661],[120,50771],{"className":50772,"style":993},[398],[120,50774,50776],{"className":50775},[175,3378],[120,50777,50779,50808],{"className":50778},[726,727],[120,50780,50782,50805],{"className":50781},[731],[120,50783,50785,50793],{"className":50784,"style":42336},[735],[120,50786,50787,50790],{"style":3116},[120,50788],{"className":50789,"style":1133},[743],[120,50791,5580],{"className":50792,"style":5677},[175,176],[120,50794,50796,50799],{"className":50795,"style":42348},[10529],[120,50797],{"className":50798,"style":1133},[743],[120,50800,50801],{"style":42272},[10555,50802,50803],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,50804],{"d":42281},[120,50806,762],{"className":50807},[761],[120,50809,50811],{"className":50810},[731],[120,50812,50814],{"className":50813,"style":30158},[735],[120,50815],{},[120,50817,50819],{"className":50818,"style":2786},[188,2785],[120,50820,152],{"className":50821},[2790,3472],[120,50823],{"className":50824,"style":399},[398],[120,50826,358],{"className":50827},[403],[120,50829],{"className":50830,"style":399},[398],[120,50832,50834,50837],{"className":50833},[166],[120,50835],{"className":50836,"style":2735},[170],[120,50838,50840,50846,50954],{"className":50839},[2781],[120,50841,50843],{"className":50842,"style":2786},[181,2785],[120,50844,3855],{"className":50845},[2790,750],[120,50847,50849],{"className":50848},[175],[120,50850,50852,50900,50903,50906],{"className":50851},[44305],[120,50853,50855],{"className":50854},[44554],[120,50856,50858,50892],{"className":50857},[726,727],[120,50859,50861,50889],{"className":50860},[731],[120,50862,50864,50875],{"className":50863,"style":50504},[735],[120,50865,50866,50869],{"style":50507},[120,50867],{"className":50868,"style":1133},[743],[120,50870,50872],{"className":50871},[175],[120,50873,50658],{"className":50874},[175],[120,50876,50877,50880],{"style":50519},[120,50878],{"className":50879,"style":1133},[743],[120,50881,50883,50886],{"className":50882},[175],[120,50884,669],{"className":50885},[175],[120,50887,50669],{"className":50888},[175],[120,50890,762],{"className":50891},[761],[120,50893,50895],{"className":50894},[731],[120,50896,50898],{"className":50897,"style":50538},[735],[120,50899],{},[120,50901],{"className":50902,"style":44872},[44871],[120,50904],{"className":50905,"style":44872},[44871],[120,50907,50909],{"className":50908},[44554],[120,50910,50912,50946],{"className":50911},[726,727],[120,50913,50915,50943],{"className":50914},[731],[120,50916,50918,50932],{"className":50917,"style":50504},[735],[120,50919,50920,50923],{"style":50507},[120,50921],{"className":50922,"style":1133},[743],[120,50924,50926,50929],{"className":50925},[175],[120,50927,669],{"className":50928},[175],[120,50930,50669],{"className":50931},[175],[120,50933,50934,50937],{"style":50519},[120,50935],{"className":50936,"style":1133},[743],[120,50938,50940],{"className":50939},[175],[120,50941,50688],{"className":50942},[175],[120,50944,762],{"className":50945},[761],[120,50947,50949],{"className":50948},[731],[120,50950,50952],{"className":50951,"style":50538},[735],[120,50953],{},[120,50955,50957],{"className":50956,"style":2786},[188,2785],[120,50958,3874],{"className":50959},[2790,750],[21,50961,47476],{},[21,50963,50964],{},[120,50965,50967,51001],{"className":50966},[123],[120,50968,50970],{"className":50969},[127],[129,50971,50972],{"xmlns":131},[133,50973,50974,50998],{},[136,50975,50976,50978,50980,50982,50994,50996],{},[139,50977,45464],{},[139,50979,29285],{},[139,50981,24176],{},[136,50983,50984,50986,50992],{},[143,50985,146],{"fence":162},[3081,50987,50988,50990],{"accent":162},[139,50989,5525],{},[143,50991,42228],{"stretchy":162},[143,50993,152],{"fence":162},[143,50995,358],{},[360,50997,50658],{},[154,50999,51000],{"encoding":156},"Var\\left( \\widehat{\\beta} \\right)=1.215",[120,51002,51004,51086],{"className":51003,"ariaHidden":162},[161],[120,51005,51007,51010,51013,51016,51019,51077,51080,51083],{"className":51006},[166],[120,51008],{"className":51009,"style":3456},[170],[120,51011,45959],{"className":51012},[175,176],[120,51014,24176],{"className":51015,"style":24205},[175,176],[120,51017],{"className":51018,"style":993},[398],[120,51020,51022,51028,51071],{"className":51021},[2781],[120,51023,51025],{"className":51024,"style":2786},[181,2785],[120,51026,146],{"className":51027},[2790,3472],[120,51029,51031],{"className":51030},[175,3378],[120,51032,51034,51063],{"className":51033},[726,727],[120,51035,51037,51060],{"className":51036},[731],[120,51038,51040,51048],{"className":51039,"style":42254},[735],[120,51041,51042,51045],{"style":3116},[120,51043],{"className":51044,"style":1133},[743],[120,51046,5525],{"className":51047,"style":5542},[175,176],[120,51049,51051,51054],{"className":51050,"style":42266},[10529],[120,51052],{"className":51053,"style":1133},[743],[120,51055,51056],{"style":42272},[10555,51057,51058],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,51059],{"d":42281},[120,51061,762],{"className":51062},[761],[120,51064,51066],{"className":51065},[731],[120,51067,51069],{"className":51068,"style":30158},[735],[120,51070],{},[120,51072,51074],{"className":51073,"style":2786},[188,2785],[120,51075,152],{"className":51076},[2790,3472],[120,51078],{"className":51079,"style":399},[398],[120,51081,358],{"className":51082},[403],[120,51084],{"className":51085,"style":399},[398],[120,51087,51089,51092],{"className":51088},[166],[120,51090],{"className":51091,"style":447},[170],[120,51093,50658],{"className":51094},[175],[21,51096,51097],{},[120,51098,51100,51134],{"className":51099},[123],[120,51101,51103],{"className":51102},[127],[129,51104,51105],{"xmlns":131},[133,51106,51107,51131],{},[136,51108,51109,51111,51113,51115,51127,51129],{},[139,51110,45464],{},[139,51112,29285],{},[139,51114,24176],{},[136,51116,51117,51119,51125],{},[143,51118,146],{"fence":162},[3081,51120,51121,51123],{"accent":162},[139,51122,5580],{},[143,51124,42228],{"stretchy":162},[143,51126,152],{"fence":162},[143,51128,358],{},[360,51130,50688],{},[154,51132,51133],{"encoding":156},"Var\\left( \\widehat{\\eta} 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3],[120,52136,52138],{"className":52137},[748,958,959,751],[120,52139,52141],{"className":52140},[175,751],[120,52142,52144],{"className":52143},[175,3378,751],[120,52145,52147,52177],{"className":52146},[726,727],[120,52148,52150,52174],{"className":52149},[731],[120,52151,52153,52161],{"className":52152,"style":42254},[735],[120,52154,52155,52158],{"style":10070},[120,52156],{"className":52157,"style":10074},[743],[120,52159,5525],{"className":52160,"style":5542},[175,176,751],[120,52162,52164,52167],{"className":52163,"style":48792},[10529],[120,52165],{"className":52166,"style":10074},[743],[120,52168,52170],{"className":52169,"style":42272},[751],[10555,52171,52172],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,52173],{"d":42281},[120,52175,762],{"className":52176},[761],[120,52178,52180],{"className":52179},[731],[120,52181,52183],{"className":52182,"style":30158},[735],[120,52184],{},[120,52186,52187,52190],{"style":5982},[120,52188],{"className":52189,"style":1133},[743],[120,52191],{"className":52192,"style":5989},[1155,751],[120,52194,52195,52198],{"style":48824},[120,52196],{"className":52197,"style":1133},[743],[120,52199,52201],{"className":52200},[748,958,959,751],[120,52202,52204],{"className":52203},[175,751],[120,52205,52207],{"className":52206},[175,10515,751],[120,52208,52210,52305],{"className":52209},[726,727],[120,52211,52213,52302],{"className":52212},[731],[120,52214,52216,52290],{"className":52215,"style":48846},[735],[120,52217,52219,52222],{"className":52218,"style":48850},[10529],[120,52220],{"className":52221,"style":48854},[743],[120,52223,52225,52228,52231],{"className":52224,"style":48858},[175,751],[120,52226,45959],{"className":52227},[175,176,751],[120,52229,24176],{"className":52230,"style":24205},[175,176,751],[120,52232,52234,52240,52284],{"className":52233},[2781,751],[120,52235,52237],{"className":52236,"style":48871},[181,748,48668,750,751,2785],[120,52238,146],{"className":52239},[751],[120,52241,52243],{"className":52242},[175,3378,751],[120,52244,52246,52276],{"className":52245},[726,727],[120,52247,52249,52273],{"className":52248},[731],[120,52250,52252,52260],{"className":52251,"style":42254},[735],[120,52253,52254,52257],{"style":10070},[120,52255],{"className":52256,"style":10074},[743],[120,52258,5525],{"className":52259,"style":5542},[175,176,751],[120,52261,52263,52266],{"className":52262,"style":48792},[10529],[120,52264],{"className":52265,"style":10074},[743],[120,52267,52269],{"className":52268,"style":42272},[751],[10555,52270,52271],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,52272],{"d":42281},[120,52274,762],{"className":52275},[761],[120,52277,52279],{"className":52278},[731],[120,52280,52282],{"className":52281,"style":30158},[735],[120,52283],{},[120,52285,52287],{"className":52286,"style":48871},[188,748,48668,750,751,2785],[120,52288,152],{"className":52289},[751],[120,52291,52292,52295],{"style":48927},[120,52293],{"className":52294,"style":48854},[743],[120,52296,52298],{"className":52297,"style":48934},[10552,751],[10555,52299,52300],{"xmlns":10557,"width":10558,"height":48937,"viewBox":10560,"preserveAspectRatio":10561},[10563,52301],{"d":10565},[120,52303,762],{"className":52304},[761],[120,52306,52308],{"className":52307},[731],[120,52309,52311],{"className":52310,"style":48949},[735],[120,52312],{},[120,52314,762],{"className":52315},[761],[120,52317,52319],{"className":52318},[731],[120,52320,52322],{"className":52321,"style":48961},[735],[120,52323],{},[120,52325],{"className":52326},[188,1113,748,958,5941],[21,52328,52329],{},[120,52330,52332,52383],{"className":52331},[123],[120,52333,52335],{"className":52334},[127],[129,52336,52337],{"xmlns":131},[133,52338,52339,52380],{},[136,52340,52341,52347,52349,52351,52353,52375,52377],{},[629,52342,52343,52345],{},[139,52344,5580],{},[139,52346,35535],{},[143,52348,358],{},[360,52350,50324],{},[143,52352,2669],{},[3621,52354,52355,52357],{},[139,52356,3629],{},[136,52358,52359,52361],{},[360,52360,48182],{},[136,52362,52363,52365,52373],{},[143,52364,146],{"fence":162},[1043,52366,52367,52371],{},[10376,52368,52369],{},[360,52370,50688],{},[360,52372,50324],{},[143,52374,152],{"fence":162},[143,52376,358],{},[360,52378,52379],{},"57.23",[154,52381,52382],{"encoding":156},"\\eta_{U} = 39.9 \\times e^{1.64\\left( \\frac{\\sqrt{76.42}}{39.9} \\right)} = 57.23",[120,52384,52386,52444,52462,52645],{"className":52385,"ariaHidden":162},[161],[120,52387,52389,52392,52435,52438,52441],{"className":52388},[166],[120,52390],{"className":52391,"style":6115},[170],[120,52393,52395,52398],{"className":52394},[175],[120,52396,5580],{"className":52397,"style":5677},[175,176],[120,52399,52401],{"className":52400},[722],[120,52402,52404,52427],{"className":52403},[726,727],[120,52405,52407,52424],{"className":52406},[731],[120,52408,52410],{"className":52409,"style":33392},[735],[120,52411,52412,52415],{"style":19903},[120,52413],{"className":52414,"style":744},[743],[120,52416,52418],{"className":52417},[748,749,750,751],[120,52419,52421],{"className":52420},[175,751],[120,52422,35535],{"className":52423,"style":1859},[175,176,751],[120,52425,762],{"className":52426},[761],[120,52428,52430],{"className":52429},[731],[120,52431,52433],{"className":52432,"style":769},[735],[120,52434],{},[120,52436],{"className":52437,"style":399},[398],[120,52439,358],{"className":52440},[403],[120,52442],{"className":52443,"style":399},[398],[120,52445,52447,52450,52453,52456,52459],{"className":52446},[166],[120,52448],{"className":52449,"style":1345},[170],[120,52451,50324],{"className":52452},[175],[120,52454],{"className":52455,"style":1352},[398],[120,52457,2669],{"className":52458},[1356],[120,52460],{"className":52461,"style":1352},[398],[120,52463,52465,52469,52636,52639,52642],{"className":52464},[166],[120,52466],{"className":52467,"style":52468},[170],"height:1.3078em;",[120,52470,52472,52475],{"className":52471},[175],[120,52473,3629],{"className":52474},[175,176],[120,52476,52478],{"className":52477},[722],[120,52479,52481],{"className":52480},[726],[120,52482,52484],{"className":52483},[731],[120,52485,52487],{"className":52486,"style":52468},[735],[120,52488,52489,52492],{"style":9976},[120,52490],{"className":52491,"style":1133},[743],[120,52493,52495],{"className":52494},[748,749,750,751],[120,52496,52498,52501],{"className":52497},[175,751],[120,52499,48182],{"className":52500},[175,751],[120,52502,52504,52513,52627],{"className":52503},[2781,751],[120,52505,52507],{"className":52506,"style":5942},[181,748,958,5941,751,2785],[120,52508,52510],{"className":52509},[2790,959,751],[120,52511,146],{"className":52512},[751],[120,52514,52516,52519,52624],{"className":52515},[175,751],[120,52517],{"className":52518},[181,1113,748,958,5941],[120,52520,52522],{"className":52521},[1043],[120,52523,52525,52616],{"className":52524},[726,727],[120,52526,52528,52613],{"className":52527},[731],[120,52529,52532,52546,52554],{"className":52530,"style":52531},[735],"height:1.0664em;",[120,52533,52534,52537],{"style":5967},[120,52535],{"className":52536,"style":1133},[743],[120,52538,52540],{"className":52539},[748,958,959,751],[120,52541,52543],{"className":52542},[175,751],[120,52544,50324],{"className":52545},[175,751],[120,52547,52548,52551],{"style":5982},[120,52549],{"className":52550,"style":1133},[743],[120,52552],{"className":52553,"style":5989},[1155,751],[120,52555,52557,52560],{"style":52556},"top:-3.4143em;",[120,52558],{"className":52559,"style":1133},[743],[120,52561,52563],{"className":52562},[748,958,959,751],[120,52564,52566],{"className":52565},[175,751],[120,52567,52569],{"className":52568},[175,10515,751],[120,52570,52572,52605],{"className":52571},[726,727],[120,52573,52575,52602],{"className":52574},[731],[120,52576,52578,52590],{"className":52577,"style":10525},[735],[120,52579,52581,52584],{"className":52580,"style":3116},[10529],[120,52582],{"className":52583,"style":1133},[743],[120,52585,52587],{"className":52586,"style":10536},[175,751],[120,52588,50688],{"className":52589},[175,751],[120,52591,52592,52595],{"style":10545},[120,52593],{"className":52594,"style":1133},[743],[120,52596,52598],{"className":52597,"style":10553},[10552,751],[10555,52599,52600],{"xmlns":10557,"width":10558,"height":10559,"viewBox":10560,"preserveAspectRatio":10561},[10563,52601],{"d":10565},[120,52603,762],{"className":52604},[761],[120,52606,52608],{"className":52607},[731],[120,52609,52611],{"className":52610,"style":10575},[735],[120,52612],{},[120,52614,762],{"className":52615},[761],[120,52617,52619],{"className":52618},[731],[120,52620,52622],{"className":52621,"style":10712},[735],[120,52623],{},[120,52625],{"className":52626},[188,1113,748,958,5941],[120,52628,52630],{"className":52629,"style":5942},[188,748,958,5941,751,2785],[120,52631,52633],{"className":52632},[2790,959,751],[120,52634,152],{"className":52635},[751],[120,52637],{"className":52638,"style":399},[398],[120,52640,358],{"className":52641},[403],[120,52643],{"className":52644,"style":399},[398],[120,52646,52648,52651],{"className":52647},[166],[120,52649],{"className":52650,"style":447},[170],[120,52652,52379],{"className":52653},[175],[21,52655,52656],{},[120,52657,52659,52712],{"className":52658},[123],[120,52660,52662],{"className":52661},[127],[129,52663,52664],{"xmlns":131},[133,52665,52666,52709],{},[136,52667,52668,52674,52676,52678,52680,52704,52706],{},[629,52669,52670,52672],{},[139,52671,5580],{},[139,52673,26229],{},[143,52675,358],{},[360,52677,50324],{},[143,52679,2669],{},[3621,52681,52682,52684],{},[139,52683,3629],{},[136,52685,52686,52688,52690],{},[143,52687,669],{},[360,52689,48182],{},[136,52691,52692,52694,52702],{},[143,52693,146],{"fence":162},[1043,52695,52696,52700],{},[10376,52697,52698],{},[360,52699,50688],{},[360,52701,50324],{},[143,52703,152],{"fence":162},[143,52705,358],{},[360,52707,52708],{},"27.84",[154,52710,52711],{"encoding":156},"\\eta_{L} = 39.9 \\times e^{-1.64\\left( \\frac{\\sqrt{76.42}}{39.9} \\right)} = 27.84",[120,52713,52715,52773,52791,52974],{"className":52714,"ariaHidden":162},[161],[120,52716,52718,52721,52764,52767,52770],{"className":52717},[166],[120,52719],{"className":52720,"style":6115},[170],[120,52722,52724,52727],{"className":52723},[175],[120,52725,5580],{"className":52726,"style":5677},[175,176],[120,52728,52730],{"className":52729},[722],[120,52731,52733,52756],{"className":52732},[726,727],[120,52734,52736,52753],{"className":52735},[731],[120,52737,52739],{"className":52738,"style":33392},[735],[120,52740,52741,52744],{"style":19903},[120,52742],{"className":52743,"style":744},[743],[120,52745,52747],{"className":52746},[748,749,750,751],[120,52748,52750],{"className":52749},[175,751],[120,52751,26229],{"className":52752},[175,176,751],[120,52754,762],{"className":52755},[761],[120,52757,52759],{"className":52758},[731],[120,52760,52762],{"className":52761,"style":769},[735],[120,52763],{},[120,52765],{"className":52766,"style":399},[398],[120,52768,358],{"className":52769},[403],[120,52771],{"className":52772,"style":399},[398],[120,52774,52776,52779,52782,52785,52788],{"className":52775},[166],[120,52777],{"className":52778,"style":1345},[170],[120,52780,50324],{"className":52781},[175],[120,52783],{"className":52784,"style":1352},[398],[120,52786,2669],{"className":52787},[1356],[120,52789],{"className":52790,"style":1352},[398],[120,52792,52794,52797,52965,52968,52971],{"className":52793},[166],[120,52795],{"className":52796,"style":52468},[170],[120,52798,52800,52803],{"className":52799},[175],[120,52801,3629],{"className":52802},[175,176],[120,52804,52806],{"className":52805},[722],[120,52807,52809],{"className":52808},[726],[120,52810,52812],{"className":52811},[731],[120,52813,52815],{"className":52814,"style":52468},[735],[120,52816,52817,52820],{"style":9976},[120,52818],{"className":52819,"style":1133},[743],[120,52821,52823],{"className":52822},[748,749,750,751],[120,52824,52826,52829,52832],{"className":52825},[175,751],[120,52827,669],{"className":52828},[175,751],[120,52830,48182],{"className":52831},[175,751],[120,52833,52835,52844,52956],{"className":52834},[2781,751],[120,52836,52838],{"className":52837,"style":5942},[181,748,958,5941,751,2785],[120,52839,52841],{"className":52840},[2790,959,751],[120,52842,146],{"className":52843},[751],[120,52845,52847,52850,52953],{"className":52846},[175,751],[120,52848],{"className":52849},[181,1113,748,958,5941],[120,52851,52853],{"className":52852},[1043],[120,52854,52856,52945],{"className":52855},[726,727],[120,52857,52859,52942],{"className":52858},[731],[120,52860,52862,52876,52884],{"className":52861,"style":52531},[735],[120,52863,52864,52867],{"style":5967},[120,52865],{"className":52866,"style":1133},[743],[120,52868,52870],{"className":52869},[748,958,959,751],[120,52871,52873],{"className":52872},[175,751],[120,52874,50324],{"className":52875},[175,751],[120,52877,52878,52881],{"style":5982},[120,52879],{"className":52880,"style":1133},[743],[120,52882],{"className":52883,"style":5989},[1155,751],[120,52885,52886,52889],{"style":52556},[120,52887],{"className":52888,"style":1133},[743],[120,52890,52892],{"className":52891},[748,958,959,751],[120,52893,52895],{"className":52894},[175,751],[120,52896,52898],{"className":52897},[175,10515,751],[120,52899,52901,52934],{"className":52900},[726,727],[120,52902,52904,52931],{"className":52903},[731],[120,52905,52907,52919],{"className":52906,"style":10525},[735],[120,52908,52910,52913],{"className":52909,"style":3116},[10529],[120,52911],{"className":52912,"style":1133},[743],[120,52914,52916],{"className":52915,"style":10536},[175,751],[120,52917,50688],{"className":52918},[175,751],[120,52920,52921,52924],{"style":10545},[120,52922],{"className":52923,"style":1133},[743],[120,52925,52927],{"className":52926,"style":10553},[10552,751],[10555,52928,52929],{"xmlns":10557,"width":10558,"height":10559,"viewBox":10560,"preserveAspectRatio":10561},[10563,52930],{"d":10565},[120,52932,762],{"className":52933},[761],[120,52935,52937],{"className":52936},[731],[120,52938,52940],{"className":52939,"style":10575},[735],[120,52941],{},[120,52943,762],{"className":52944},[761],[120,52946,52948],{"className":52947},[731],[120,52949,52951],{"className":52950,"style":10712},[735],[120,52952],{},[120,52954],{"className":52955},[188,1113,748,958,5941],[120,52957,52959],{"className":52958,"style":5942},[188,748,958,5941,751,2785],[120,52960,52962],{"className":52961},[2790,959,751],[120,52963,152],{"className":52964},[751],[120,52966],{"className":52967,"style":399},[398],[120,52969,358],{"className":52970},[403],[120,52972],{"className":52973,"style":399},[398],[120,52975,52977,52980],{"className":52976},[166],[120,52978],{"className":52979,"style":447},[170],[120,52981,52708],{"className":52982},[175],[21,52984,52985],{},"Fisher 矩阵置信限的概念可概括为：",[100,52987,52988,52991,52994],{},[103,52989,52990],{},"通过统计分析（本例为 MLE 或 RRX）得到估计值，作为均值。",[103,52992,52993],{},"由 Fisher 信息矩阵求得标准差。",[103,52995,52996],{},"使用由标准正态分位数定义置信水平的正态分布，对估计值建立置信限。",[3590,52998,53000],{"id":52999},"时间的-fisher-矩阵置信限","时间的 Fisher 矩阵置信限",[21,53002,50247,53003,53005,53006,53061],{},[19768,53004,19774],{}," 拟合至二参数威布尔分布，求总体中 10% 失效（不可靠度 ",[120,53007,53009,53030],{"className":53008},[123],[120,53010,53012],{"className":53011},[127],[129,53013,53014],{"xmlns":131},[133,53015,53016,53027],{},[136,53017,53018,53020,53022,53025],{},[139,53019,300],{},[143,53021,358],{},[360,53023,53024],{},"10",[139,53026,23400],{"mathvariant":672},[154,53028,53029],{"encoding":156},"Q=10\\%",[120,53031,53033,53051],{"className":53032,"ariaHidden":162},[161],[120,53034,53036,53039,53042,53045,53048],{"className":53035},[166],[120,53037],{"className":53038,"style":23584},[170],[120,53040,300],{"className":53041},[175,176],[120,53043],{"className":53044,"style":399},[398],[120,53046,358],{"className":53047},[403],[120,53049],{"className":53050,"style":399},[398],[120,53052,53054,53057],{"className":53053},[166],[120,53055],{"className":53056,"style":23545},[170],[120,53058,53060],{"className":53059},[175],"10%","）所对应时间的 90% 置信限。",[21,53063,50253,53064,48153,53114,189],{},[120,53065,53067,53084],{"className":53066},[123],[120,53068,53070],{"className":53069},[127],[129,53071,53072],{"xmlns":131},[133,53073,53074,53082],{},[136,53075,53076,53078,53080],{},[139,53077,5525],{},[143,53079,358],{},[360,53081,50272],{},[154,53083,50275],{"encoding":156},[120,53085,53087,53105],{"className":53086,"ariaHidden":162},[161],[120,53088,53090,53093,53096,53099,53102],{"className":53089},[166],[120,53091],{"className":53092,"style":5538},[170],[120,53094,5525],{"className":53095,"style":5542},[175,176],[120,53097],{"className":53098,"style":399},[398],[120,53100,358],{"className":53101},[403],[120,53103],{"className":53104,"style":399},[398],[120,53106,53108,53111],{"className":53107},[166],[120,53109],{"className":53110,"style":447},[170],[120,53112,50272],{"className":53113},[175],[120,53115,53117,53134],{"className":53116},[123],[120,53118,53120],{"className":53119},[127],[129,53121,53122],{"xmlns":131},[133,53123,53124,53132],{},[136,53125,53126,53128,53130],{},[139,53127,5580],{},[143,53129,358],{},[360,53131,50324],{},[154,53133,50327],{"encoding":156},[120,53135,53137,53155],{"className":53136,"ariaHidden":162},[161],[120,53138,53140,53143,53146,53149,53152],{"className":53139},[166],[120,53141],{"className":53142,"style":6115},[170],[120,53144,5580],{"className":53145,"style":5677},[175,176],[120,53147],{"className":53148,"style":399},[398],[120,53150,358],{"className":53151},[403],[120,53153],{"className":53154,"style":399},[398],[120,53156,53158,53161],{"className":53157},[166],[120,53159],{"className":53160,"style":447},[170],[120,53162,50324],{"className":53163},[175],[21,53165,53166],{},"威布尔 CDF：",[21,53168,53169],{},[120,53170,53172,53221],{"className":53171},[123],[120,53173,53175],{"className":53174},[127],[129,53176,53177],{"xmlns":131},[133,53178,53179,53219],{},[136,53180,53181,53183,53185,53187,53189,53191,53193,53195],{},[139,53182,300],{},[143,53184,146],{"stretchy":145},[139,53186,149],{},[143,53188,152],{"stretchy":145},[143,53190,358],{},[360,53192,1294],{},[143,53194,669],{},[3621,53196,53197,53199],{},[139,53198,3629],{},[136,53200,53201,53203],{},[143,53202,669],{},[3621,53204,53205,53217],{},[136,53206,53207,53209,53215],{},[143,53208,146],{"fence":162},[1043,53210,53211,53213],{},[139,53212,149],{},[139,53214,5580],{},[143,53216,152],{"fence":162},[139,53218,5525],{},[154,53220,23093],{"encoding":156},[120,53222,53224,53251,53269],{"className":53223,"ariaHidden":162},[161],[120,53225,53227,53230,53233,53236,53239,53242,53245,53248],{"className":53226},[166],[120,53228],{"className":53229,"style":171},[170],[120,53231,300],{"className":53232},[175,176],[120,53234,146],{"className":53235},[181],[120,53237,149],{"className":53238},[175,176],[120,53240,152],{"className":53241},[188],[120,53243],{"className":53244,"style":399},[398],[120,53246,358],{"className":53247},[403],[120,53249],{"className":53250,"style":399},[398],[120,53252,53254,53257,53260,53263,53266],{"className":53253},[166],[120,53255],{"className":53256,"style":1345},[170],[120,53258,1294],{"className":53259},[175],[120,53261],{"className":53262,"style":1352},[398],[120,53264,669],{"className":53265},[1356],[120,53267],{"className":53268,"style":1352},[398],[120,53270,53272,53275],{"className":53271},[166],[120,53273],{"className":53274,"style":5913},[170],[120,53276,53278,53281],{"className":53277},[175],[120,53279,3629],{"className":53280},[175,176],[120,53282,53284],{"className":53283},[722],[120,53285,53287],{"className":53286},[726],[120,53288,53290],{"className":53289},[731],[120,53291,53293],{"className":53292,"style":5913},[735],[120,53294,53295,53298],{"style":5916},[120,53296],{"className":53297,"style":1133},[743],[120,53299,53301],{"className":53300},[748,749,750,751],[120,53302,53304,53307],{"className":53303},[175,751],[120,53305,669],{"className":53306},[175,751],[120,53308,53310,53393],{"className":53309},[2781,751],[120,53311,53313,53319,53387],{"className":53312},[2781,751],[120,53314,53316],{"className":53315,"style":5942},[181,748,958,5941,751,2785],[120,53317,146],{"className":53318},[751],[120,53320,53322,53325,53384],{"className":53321},[175,751],[120,53323],{"className":53324},[181,1113,748,958,5941],[120,53326,53328],{"className":53327},[1043],[120,53329,53331,53376],{"className":53330},[726,727],[120,53332,53334,53373],{"className":53333},[731],[120,53335,53337,53351,53359],{"className":53336,"style":5964},[735],[120,53338,53339,53342],{"style":5967},[120,53340],{"className":53341,"style":1133},[743],[120,53343,53345],{"className":53344},[748,958,959,751],[120,53346,53348],{"className":53347},[175,751],[120,53349,5580],{"className":53350,"style":5677},[175,176,751],[120,53352,53353,53356],{"style":5982},[120,53354],{"className":53355,"style":1133},[743],[120,53357],{"className":53358,"style":5989},[1155,751],[120,53360,53361,53364],{"style":5992},[120,53362],{"className":53363,"style":1133},[743],[120,53365,53367],{"className":53366},[748,958,959,751],[120,53368,53370],{"className":53369},[175,751],[120,53371,149],{"className":53372},[175,176,751],[120,53374,762],{"className":53375},[761],[120,53377,53379],{"className":53378},[731],[120,53380,53382],{"className":53381,"style":6014},[735],[120,53383],{},[120,53385],{"className":53386},[188,1113,748,958,5941],[120,53388,53390],{"className":53389,"style":5942},[188,748,958,5941,751,2785],[120,53391,152],{"className":53392},[751],[120,53394,53396],{"className":53395},[722],[120,53397,53399],{"className":53398},[726],[120,53400,53402],{"className":53401},[731],[120,53403,53405],{"className":53404,"style":6038},[735],[120,53406,53407,53410],{"style":6041},[120,53408],{"className":53409,"style":954},[743],[120,53411,53413],{"className":53412},[748,958,959,751],[120,53414,53416],{"className":53415},[175,751],[120,53417,5525],{"className":53418,"style":5542},[175,176,751],[21,53420,3762,53421,23725,53473,53525],{},[120,53422,53424,53443],{"className":53423},[123],[120,53425,53427],{"className":53426},[127],[129,53428,53429],{"xmlns":131},[133,53430,53431,53441],{},[136,53432,53433,53435,53437,53439],{},[139,53434,300],{},[143,53436,358],{},[360,53438,53024],{},[139,53440,23400],{"mathvariant":672},[154,53442,53029],{"encoding":156},[120,53444,53446,53464],{"className":53445,"ariaHidden":162},[161],[120,53447,53449,53452,53455,53458,53461],{"className":53448},[166],[120,53450],{"className":53451,"style":23584},[170],[120,53453,300],{"className":53454},[175,176],[120,53456],{"className":53457,"style":399},[398],[120,53459,358],{"className":53460},[403],[120,53462],{"className":53463,"style":399},[398],[120,53465,53467,53470],{"className":53466},[166],[120,53468],{"className":53469,"style":23545},[170],[120,53471,53060],{"className":53472},[175],[120,53474,53476,53495],{"className":53475},[123],[120,53477,53479],{"className":53478},[127],[129,53480,53481],{"xmlns":131},[133,53482,53483,53492],{},[136,53484,53485,53487,53489],{},[139,53486,149],{},[143,53488,358],{},[360,53490,53491],{},"16.5",[154,53493,53494],{"encoding":156},"t=16.5",[120,53496,53498,53516],{"className":53497,"ariaHidden":162},[161],[120,53499,53501,53504,53507,53510,53513],{"className":53500},[166],[120,53502],{"className":53503,"style":231},[170],[120,53505,149],{"className":53506},[175,176],[120,53508],{"className":53509,"style":399},[398],[120,53511,358],{"className":53512},[403],[120,53514],{"className":53515,"style":399},[398],[120,53517,53519,53522],{"className":53518},[166],[120,53520],{"className":53521,"style":447},[170],[120,53523,53491],{"className":53524},[175],"。以下在均值为 16.5 的时间上建立正态置信限：",[62,53527],{"src":53528,"alt":53529,"width":66},"/media/image46.png","在均值为 16.5 的时间上建立正态置信限",[21,53531,53532,53533,53578,53579,53625,53626,53727],{},"由于 X 轴采用自然对数尺度 ",[120,53534,53536,53557],{"className":53535},[123],[120,53537,53539],{"className":53538},[127],[129,53540,53541],{"xmlns":131},[133,53542,53543,53555],{},[136,53544,53545,53547,53549,53551,53553],{},[139,53546,5230],{},[143,53548,5233],{},[143,53550,146],{"stretchy":145},[139,53552,149],{},[143,53554,152],{"stretchy":145},[154,53556,26189],{"encoding":156},[120,53558,53560],{"className":53559,"ariaHidden":162},[161],[120,53561,53563,53566,53569,53572,53575],{"className":53562},[166],[120,53564],{"className":53565,"style":171},[170],[120,53567,5230],{"className":53568},[879],[120,53570,146],{"className":53571},[181],[120,53573,149],{"className":53574},[175,176],[120,53576,152],{"className":53577},[188],"，实际均值是 ",[120,53580,53582,53604],{"className":53581},[123],[120,53583,53585],{"className":53584},[127],[129,53586,53587],{"xmlns":131},[133,53588,53589,53601],{},[136,53590,53591,53593,53595,53597,53599],{},[139,53592,5230],{},[143,53594,5233],{},[143,53596,146],{"stretchy":145},[360,53598,53491],{},[143,53600,152],{"stretchy":145},[154,53602,53603],{"encoding":156},"\\ln(16.5)",[120,53605,53607],{"className":53606,"ariaHidden":162},[161],[120,53608,53610,53613,53616,53619,53622],{"className":53609},[166],[120,53611],{"className":53612,"style":171},[170],[120,53614,5230],{"className":53615},[879],[120,53617,146],{"className":53618},[181],[120,53620,53491],{"className":53621},[175],[120,53623,152],{"className":53624},[188],"。还需要方差 ",[120,53627,53629,53665],{"className":53628},[123],[120,53630,53632],{"className":53631},[127],[129,53633,53634],{"xmlns":131},[133,53635,53636,53662],{},[136,53637,53638,53640,53642,53644,53646,53648,53650,53652,53658,53660],{},[139,53639,45464],{},[139,53641,29285],{},[139,53643,24176],{},[143,53645,146],{"stretchy":145},[139,53647,5230],{},[143,53649,5233],{},[143,53651,146],{"stretchy":145},[3081,53653,53654,53656],{"accent":162},[139,53655,149],{},[143,53657,42228],{"stretchy":162},[143,53659,152],{"stretchy":145},[143,53661,152],{"stretchy":145},[154,53663,53664],{"encoding":156},"Var(\\ln(\\widehat{t}))",[120,53666,53668],{"className":53667,"ariaHidden":162},[161],[120,53669,53671,53675,53678,53681,53684,53687,53690,53724],{"className":53670},[166],[120,53672],{"className":53673,"style":53674},[170],"height:1.1051em;vertical-align:-0.25em;",[120,53676,45959],{"className":53677},[175,176],[120,53679,24176],{"className":53680,"style":24205},[175,176],[120,53682,146],{"className":53683},[181],[120,53685,5230],{"className":53686},[879],[120,53688,146],{"className":53689},[181],[120,53691,53693],{"className":53692},[175,3378],[120,53694,53696],{"className":53695},[726],[120,53697,53699],{"className":53698},[731],[120,53700,53703,53711],{"className":53701,"style":53702},[735],"height:0.8551em;",[120,53704,53705,53708],{"style":3116},[120,53706],{"className":53707,"style":1133},[743],[120,53709,149],{"className":53710},[175,176],[120,53712,53715,53718],{"className":53713,"style":53714},[10529],"width:calc(100% - 0.1667em);margin-left:0.1667em;top:-3.6151em;",[120,53716],{"className":53717,"style":1133},[743],[120,53719,53720],{"style":42272},[10555,53721,53722],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,53723],{"d":42281},[120,53725,1187],{"className":53726},[188]," 才能完整定义正态置信限。",[21,53729,23294,53730,23346],{},[120,53731,53733,53760],{"className":53732},[123],[120,53734,53736],{"className":53735},[127],[129,53737,53738],{"xmlns":131},[133,53739,53740,53757],{},[136,53741,53742,53745,53747,53749,53751,53753,53755],{},[139,53743,53744],{},"u",[143,53746,358],{},[139,53748,5230],{},[143,53750,5233],{},[143,53752,146],{"stretchy":145},[139,53754,149],{},[143,53756,152],{"stretchy":145},[154,53758,53759],{"encoding":156},"u=\\ln(t)",[120,53761,53763,53781],{"className":53762,"ariaHidden":162},[161],[120,53764,53766,53769,53772,53775,53778],{"className":53765},[166],[120,53767],{"className":53768,"style":10900},[170],[120,53770,53744],{"className":53771},[175,176],[120,53773],{"className":53774,"style":399},[398],[120,53776,358],{"className":53777},[403],[120,53779],{"className":53780,"style":399},[398],[120,53782,53784,53787,53790,53793,53796],{"className":53783},[166],[120,53785],{"className":53786,"style":171},[170],[120,53788,5230],{"className":53789},[879],[120,53791,146],{"className":53792},[181],[120,53794,149],{"className":53795},[175,176],[120,53797,152],{"className":53798},[188],[21,53800,53801],{},[120,53802,53804,53866],{"className":53803},[123],[120,53805,53807],{"className":53806},[127],[129,53808,53809],{"xmlns":131},[133,53810,53811,53863],{},[136,53812,53813,53819,53821,53827,53829,53839,53841],{},[629,53814,53815,53817],{},[139,53816,53744],{},[139,53818,35535],{},[143,53820,358],{},[3081,53822,53823,53825],{"accent":162},[139,53824,53744],{},[143,53826,42228],{"stretchy":162},[143,53828,2646],{},[629,53830,53831,53833],{},[139,53832,46673],{},[1043,53834,53835,53837],{},[139,53836,46678],{},[360,53838,9849],{},[143,53840,42532],{},[10376,53842,53843],{},[136,53844,53845,53847,53849,53851],{},[139,53846,45464],{},[139,53848,29285],{},[139,53850,24176],{},[136,53852,53853,53855,53861],{},[143,53854,146],{"fence":162},[3081,53856,53857,53859],{"accent":162},[139,53858,53744],{},[143,53860,42228],{"stretchy":162},[143,53862,152],{"fence":162},[154,53864,53865],{"encoding":156},"u_{U} = \\widehat{u} + z_{\\frac{\\alpha}{2}} \\cdot \\sqrt{Var\\left( \\widehat{u} \\right)}",[120,53867,53869,53927,53976,54099],{"className":53868,"ariaHidden":162},[161],[120,53870,53872,53875,53918,53921,53924],{"className":53871},[166],[120,53873],{"className":53874,"style":29520},[170],[120,53876,53878,53881],{"className":53877},[175],[120,53879,53744],{"className":53880},[175,176],[120,53882,53884],{"className":53883},[722],[120,53885,53887,53910],{"className":53886},[726,727],[120,53888,53890,53907],{"className":53889},[731],[120,53891,53893],{"className":53892,"style":33392},[735],[120,53894,53895,53898],{"style":739},[120,53896],{"className":53897,"style":744},[743],[120,53899,53901],{"className":53900},[748,749,750,751],[120,53902,53904],{"className":53903},[175,751],[120,53905,35535],{"className":53906,"style":1859},[175,176,751],[120,53908,762],{"className":53909},[761],[120,53911,53913],{"className":53912},[731],[120,53914,53916],{"className":53915,"style":769},[735],[120,53917],{},[120,53919],{"className":53920,"style":399},[398],[120,53922,358],{"className":53923},[403],[120,53925],{"className":53926,"style":399},[398],[120,53928,53930,53934,53967,53970,53973],{"className":53929},[166],[120,53931],{"className":53932,"style":53933},[170],"height:0.7539em;vertical-align:-0.0833em;",[120,53935,53937],{"className":53936},[175,3378],[120,53938,53940],{"className":53939},[726],[120,53941,53943],{"className":53942},[731],[120,53944,53946,53954],{"className":53945,"style":42336},[735],[120,53947,53948,53951],{"style":3116},[120,53949],{"className":53950,"style":1133},[743],[120,53952,53744],{"className":53953},[175,176],[120,53955,53958,53961],{"className":53956,"style":53957},[10529],"width:calc(100% - 0.0556em);margin-left:0.0556em;top:-3.4306em;",[120,53959],{"className":53960,"style":1133},[743],[120,53962,53963],{"style":42272},[10555,53964,53965],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,53966],{"d":42281},[120,53968],{"className":53969,"style":1352},[398],[120,53971,2646],{"className":53972},[1356],[120,53974],{"className":53975,"style":1352},[398],[120,53977,53979,53982,54090,54093,54096],{"className":53978},[166],[120,53980],{"className":53981,"style":46890},[170],[120,53983,53985,53988],{"className":53984},[175],[120,53986,46673],{"className":53987,"style":46897},[175,176],[120,53989,53991],{"className":53990},[722],[120,53992,53994,54082],{"className":53993},[726,727],[120,53995,53997,54079],{"className":53996},[731],[120,53998,54000],{"className":53999,"style":46910},[735],[120,54001,54002,54005],{"style":46913},[120,54003],{"className":54004,"style":1133},[743],[120,54006,54008],{"className":54007},[748,749,750,751],[120,54009,54011],{"className":54010},[175,751],[120,54012,54014,54017,54076],{"className":54013},[175,751],[120,54015],{"className":54016},[181,1113,748,958,5941],[120,54018,54020],{"className":54019},[1043],[120,54021,54023,54068],{"className":54022},[726,727],[120,54024,54026,54065],{"className":54025},[731],[120,54027,54029,54043,54051],{"className":54028,"style":46941},[735],[120,54030,54031,54034],{"style":5967},[120,54032],{"className":54033,"style":1133},[743],[120,54035,54037],{"className":54036},[748,958,959,751],[120,54038,54040],{"className":54039},[175,751],[120,54041,9849],{"className":54042},[175,751],[120,54044,54045,54048],{"style":5982},[120,54046],{"className":54047,"style":1133},[743],[120,54049],{"className":54050,"style":5989},[1155,751],[120,54052,54053,54056],{"style":5992},[120,54054],{"className":54055,"style":1133},[743],[120,54057,54059],{"className":54058},[748,958,959,751],[120,54060,54062],{"className":54061},[175,751],[120,54063,46678],{"className":54064,"style":46978},[175,176,751],[120,54066,762],{"className":54067},[761],[120,54069,54071],{"className":54070},[731],[120,54072,54074],{"className":54073,"style":10712},[735],[120,54075],{},[120,54077],{"className":54078},[188,1113,748,958,5941],[120,54080,762],{"className":54081},[761],[120,54083,54085],{"className":54084},[731],[120,54086,54088],{"className":54087,"style":47002},[735],[120,54089],{},[120,54091],{"className":54092,"style":1352},[398],[120,54094,42532],{"className":54095},[1356],[120,54097],{"className":54098,"style":1352},[398],[120,54100,54102,54106],{"className":54101},[166],[120,54103],{"className":54104,"style":54105},[170],"height:1.24em;vertical-align:-0.305em;",[120,54107,54109],{"className":54108},[175,10515],[120,54110,54112,54198],{"className":54111},[726,727],[120,54113,54115,54195],{"className":54114},[731],[120,54116,54119,54180],{"className":54117,"style":54118},[735],"height:0.935em;",[120,54120,54123,54127],{"className":54121,"style":54122},[10529],"top:-3.2em;",[120,54124],{"className":54125,"style":54126},[743],"height:3.2em;",[120,54128,54130,54133,54136,54139],{"className":54129,"style":33581},[175],[120,54131,45959],{"className":54132},[175,176],[120,54134,24176],{"className":54135,"style":24205},[175,176],[120,54137],{"className":54138,"style":993},[398],[120,54140,54142,54145,54177],{"className":54141},[2781],[120,54143,146],{"className":54144,"style":2786},[181,2785],[120,54146,54148],{"className":54147},[175,3378],[120,54149,54151],{"className":54150},[726],[120,54152,54154],{"className":54153},[731],[120,54155,54157,54165],{"className":54156,"style":42336},[735],[120,54158,54159,54162],{"style":3116},[120,54160],{"className":54161,"style":1133},[743],[120,54163,53744],{"className":54164},[175,176],[120,54166,54168,54171],{"className":54167,"style":53957},[10529],[120,54169],{"className":54170,"style":1133},[743],[120,54172,54173],{"style":42272},[10555,54174,54175],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54176],{"d":42281},[120,54178,152],{"className":54179,"style":2786},[188,2785],[120,54181,54183,54186],{"style":54182},"top:-2.895em;",[120,54184],{"className":54185,"style":54126},[743],[120,54187,54190],{"className":54188,"style":54189},[10552],"min-width:1.02em;height:1.28em;",[10555,54191,54193],{"xmlns":10557,"width":10558,"height":54192,"viewBox":48067,"preserveAspectRatio":10561},"1.28em",[10563,54194],{"d":48070},[120,54196,762],{"className":54197},[761],[120,54199,54201],{"className":54200},[731],[120,54202,54205],{"className":54203,"style":54204},[735],"height:0.305em;",[120,54206],{},[21,54208,54209],{},[120,54210,54212,54274],{"className":54211},[123],[120,54213,54215],{"className":54214},[127],[129,54216,54217],{"xmlns":131},[133,54218,54219,54271],{},[136,54220,54221,54227,54229,54235,54237,54247,54249],{},[629,54222,54223,54225],{},[139,54224,53744],{},[139,54226,26229],{},[143,54228,358],{},[3081,54230,54231,54233],{"accent":162},[139,54232,53744],{},[143,54234,42228],{"stretchy":162},[143,54236,669],{},[629,54238,54239,54241],{},[139,54240,46673],{},[1043,54242,54243,54245],{},[139,54244,46678],{},[360,54246,9849],{},[143,54248,42532],{},[10376,54250,54251],{},[136,54252,54253,54255,54257,54259],{},[139,54254,45464],{},[139,54256,29285],{},[139,54258,24176],{},[136,54260,54261,54263,54269],{},[143,54262,146],{"fence":162},[3081,54264,54265,54267],{"accent":162},[139,54266,53744],{},[143,54268,42228],{"stretchy":162},[143,54270,152],{"fence":162},[154,54272,54273],{"encoding":156},"u_{L} = \\widehat{u} - z_{\\frac{\\alpha}{2}} \\cdot \\sqrt{Var\\left( \\widehat{u} \\right)}",[120,54275,54277,54335,54382,54505],{"className":54276,"ariaHidden":162},[161],[120,54278,54280,54283,54326,54329,54332],{"className":54279},[166],[120,54281],{"className":54282,"style":29520},[170],[120,54284,54286,54289],{"className":54285},[175],[120,54287,53744],{"className":54288},[175,176],[120,54290,54292],{"className":54291},[722],[120,54293,54295,54318],{"className":54294},[726,727],[120,54296,54298,54315],{"className":54297},[731],[120,54299,54301],{"className":54300,"style":33392},[735],[120,54302,54303,54306],{"style":739},[120,54304],{"className":54305,"style":744},[743],[120,54307,54309],{"className":54308},[748,749,750,751],[120,54310,54312],{"className":54311},[175,751],[120,54313,26229],{"className":54314},[175,176,751],[120,54316,762],{"className":54317},[761],[120,54319,54321],{"className":54320},[731],[120,54322,54324],{"className":54323,"style":769},[735],[120,54325],{},[120,54327],{"className":54328,"style":399},[398],[120,54330,358],{"className":54331},[403],[120,54333],{"className":54334,"style":399},[398],[120,54336,54338,54341,54373,54376,54379],{"className":54337},[166],[120,54339],{"className":54340,"style":53933},[170],[120,54342,54344],{"className":54343},[175,3378],[120,54345,54347],{"className":54346},[726],[120,54348,54350],{"className":54349},[731],[120,54351,54353,54361],{"className":54352,"style":42336},[735],[120,54354,54355,54358],{"style":3116},[120,54356],{"className":54357,"style":1133},[743],[120,54359,53744],{"className":54360},[175,176],[120,54362,54364,54367],{"className":54363,"style":53957},[10529],[120,54365],{"className":54366,"style":1133},[743],[120,54368,54369],{"style":42272},[10555,54370,54371],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54372],{"d":42281},[120,54374],{"className":54375,"style":1352},[398],[120,54377,669],{"className":54378},[1356],[120,54380],{"className":54381,"style":1352},[398],[120,54383,54385,54388,54496,54499,54502],{"className":54384},[166],[120,54386],{"className":54387,"style":46890},[170],[120,54389,54391,54394],{"className":54390},[175],[120,54392,46673],{"className":54393,"style":46897},[175,176],[120,54395,54397],{"className":54396},[722],[120,54398,54400,54488],{"className":54399},[726,727],[120,54401,54403,54485],{"className":54402},[731],[120,54404,54406],{"className":54405,"style":46910},[735],[120,54407,54408,54411],{"style":46913},[120,54409],{"className":54410,"style":1133},[743],[120,54412,54414],{"className":54413},[748,749,750,751],[120,54415,54417],{"className":54416},[175,751],[120,54418,54420,54423,54482],{"className":54419},[175,751],[120,54421],{"className":54422},[181,1113,748,958,5941],[120,54424,54426],{"className":54425},[1043],[120,54427,54429,54474],{"className":54428},[726,727],[120,54430,54432,54471],{"className":54431},[731],[120,54433,54435,54449,54457],{"className":54434,"style":46941},[735],[120,54436,54437,54440],{"style":5967},[120,54438],{"className":54439,"style":1133},[743],[120,54441,54443],{"className":54442},[748,958,959,751],[120,54444,54446],{"className":54445},[175,751],[120,54447,9849],{"className":54448},[175,751],[120,54450,54451,54454],{"style":5982},[120,54452],{"className":54453,"style":1133},[743],[120,54455],{"className":54456,"style":5989},[1155,751],[120,54458,54459,54462],{"style":5992},[120,54460],{"className":54461,"style":1133},[743],[120,54463,54465],{"className":54464},[748,958,959,751],[120,54466,54468],{"className":54467},[175,751],[120,54469,46678],{"className":54470,"style":46978},[175,176,751],[120,54472,762],{"className":54473},[761],[120,54475,54477],{"className":54476},[731],[120,54478,54480],{"className":54479,"style":10712},[735],[120,54481],{},[120,54483],{"className":54484},[188,1113,748,958,5941],[120,54486,762],{"className":54487},[761],[120,54489,54491],{"className":54490},[731],[120,54492,54494],{"className":54493,"style":47002},[735],[120,54495],{},[120,54497],{"className":54498,"style":1352},[398],[120,54500,42532],{"className":54501},[1356],[120,54503],{"className":54504,"style":1352},[398],[120,54506,54508,54511],{"className":54507},[166],[120,54509],{"className":54510,"style":54105},[170],[120,54512,54514],{"className":54513},[175,10515],[120,54515,54517,54597],{"className":54516},[726,727],[120,54518,54520,54594],{"className":54519},[731],[120,54521,54523,54582],{"className":54522,"style":54118},[735],[120,54524,54526,54529],{"className":54525,"style":54122},[10529],[120,54527],{"className":54528,"style":54126},[743],[120,54530,54532,54535,54538,54541],{"className":54531,"style":33581},[175],[120,54533,45959],{"className":54534},[175,176],[120,54536,24176],{"className":54537,"style":24205},[175,176],[120,54539],{"className":54540,"style":993},[398],[120,54542,54544,54547,54579],{"className":54543},[2781],[120,54545,146],{"className":54546,"style":2786},[181,2785],[120,54548,54550],{"className":54549},[175,3378],[120,54551,54553],{"className":54552},[726],[120,54554,54556],{"className":54555},[731],[120,54557,54559,54567],{"className":54558,"style":42336},[735],[120,54560,54561,54564],{"style":3116},[120,54562],{"className":54563,"style":1133},[743],[120,54565,53744],{"className":54566},[175,176],[120,54568,54570,54573],{"className":54569,"style":53957},[10529],[120,54571],{"className":54572,"style":1133},[743],[120,54574,54575],{"style":42272},[10555,54576,54577],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54578],{"d":42281},[120,54580,152],{"className":54581,"style":2786},[188,2785],[120,54583,54584,54587],{"style":54182},[120,54585],{"className":54586,"style":54126},[743],[120,54588,54590],{"className":54589,"style":54189},[10552],[10555,54591,54592],{"xmlns":10557,"width":10558,"height":54192,"viewBox":48067,"preserveAspectRatio":10561},[10563,54593],{"d":48070},[120,54595,762],{"className":54596},[761],[120,54598,54600],{"className":54599},[731],[120,54601,54603],{"className":54602,"style":54204},[735],[120,54604],{},[21,54606,54607,54608,6088,54703,54798,54799,54883],{},"已知 ",[120,54609,54611,54639],{"className":54610},[123],[120,54612,54614],{"className":54613},[127],[129,54615,54616],{"xmlns":131},[133,54617,54618,54636],{},[136,54619,54620,54622,54624,54626,54628,54634],{},[139,54621,45464],{},[139,54623,29285],{},[139,54625,24176],{},[143,54627,146],{"stretchy":145},[3081,54629,54630,54632],{"accent":162},[139,54631,5525],{},[143,54633,42228],{"stretchy":162},[143,54635,152],{"stretchy":145},[154,54637,54638],{"encoding":156},"Var(\\widehat{\\beta})",[120,54640,54642],{"className":54641,"ariaHidden":162},[161],[120,54643,54645,54648,54651,54654,54657,54700],{"className":54644},[166],[120,54646],{"className":54647,"style":47241},[170],[120,54649,45959],{"className":54650},[175,176],[120,54652,24176],{"className":54653,"style":24205},[175,176],[120,54655,146],{"className":54656},[181],[120,54658,54660],{"className":54659},[175,3378],[120,54661,54663,54692],{"className":54662},[726,727],[120,54664,54666,54689],{"className":54665},[731],[120,54667,54669,54677],{"className":54668,"style":42254},[735],[120,54670,54671,54674],{"style":3116},[120,54672],{"className":54673,"style":1133},[743],[120,54675,5525],{"className":54676,"style":5542},[175,176],[120,54678,54680,54683],{"className":54679,"style":42266},[10529],[120,54681],{"className":54682,"style":1133},[743],[120,54684,54685],{"style":42272},[10555,54686,54687],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54688],{"d":42281},[120,54690,762],{"className":54691},[761],[120,54693,54695],{"className":54694},[731],[120,54696,54698],{"className":54697,"style":30158},[735],[120,54699],{},[120,54701,152],{"className":54702},[188],[120,54704,54706,54734],{"className":54705},[123],[120,54707,54709],{"className":54708},[127],[129,54710,54711],{"xmlns":131},[133,54712,54713,54731],{},[136,54714,54715,54717,54719,54721,54723,54729],{},[139,54716,45464],{},[139,54718,29285],{},[139,54720,24176],{},[143,54722,146],{"stretchy":145},[3081,54724,54725,54727],{"accent":162},[139,54726,5580],{},[143,54728,42228],{"stretchy":162},[143,54730,152],{"stretchy":145},[154,54732,54733],{"encoding":156},"Var(\\widehat{\\eta})",[120,54735,54737],{"className":54736,"ariaHidden":162},[161],[120,54738,54740,54743,54746,54749,54752,54795],{"className":54739},[166],[120,54741],{"className":54742,"style":171},[170],[120,54744,45959],{"className":54745},[175,176],[120,54747,24176],{"className":54748,"style":24205},[175,176],[120,54750,146],{"className":54751},[181],[120,54753,54755],{"className":54754},[175,3378],[120,54756,54758,54787],{"className":54757},[726,727],[120,54759,54761,54784],{"className":54760},[731],[120,54762,54764,54772],{"className":54763,"style":42336},[735],[120,54765,54766,54769],{"style":3116},[120,54767],{"className":54768,"style":1133},[743],[120,54770,5580],{"className":54771,"style":5677},[175,176],[120,54773,54775,54778],{"className":54774,"style":42348},[10529],[120,54776],{"className":54777,"style":1133},[743],[120,54779,54780],{"style":42272},[10555,54781,54782],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54783],{"d":42281},[120,54785,762],{"className":54786},[761],[120,54788,54790],{"className":54789},[731],[120,54791,54793],{"className":54792,"style":30158},[735],[120,54794],{},[120,54796,152],{"className":54797},[188],"，但不知道 ",[120,54800,54802,54830],{"className":54801},[123],[120,54803,54805],{"className":54804},[127],[129,54806,54807],{"xmlns":131},[133,54808,54809,54827],{},[136,54810,54811,54813,54815,54817,54819,54825],{},[139,54812,45464],{},[139,54814,29285],{},[139,54816,24176],{},[143,54818,146],{"stretchy":145},[3081,54820,54821,54823],{"accent":162},[139,54822,53744],{},[143,54824,42228],{"stretchy":162},[143,54826,152],{"stretchy":145},[154,54828,54829],{"encoding":156},"Var(\\widehat{u})",[120,54831,54833],{"className":54832,"ariaHidden":162},[161],[120,54834,54836,54839,54842,54845,54848,54880],{"className":54835},[166],[120,54837],{"className":54838,"style":171},[170],[120,54840,45959],{"className":54841},[175,176],[120,54843,24176],{"className":54844,"style":24205},[175,176],[120,54846,146],{"className":54847},[181],[120,54849,54851],{"className":54850},[175,3378],[120,54852,54854],{"className":54853},[726],[120,54855,54857],{"className":54856},[731],[120,54858,54860,54868],{"className":54859,"style":42336},[735],[120,54861,54862,54865],{"style":3116},[120,54863],{"className":54864,"style":1133},[743],[120,54866,53744],{"className":54867},[175,176],[120,54869,54871,54874],{"className":54870,"style":53957},[10529],[120,54872],{"className":54873,"style":1133},[743],[120,54875,54876],{"style":42272},[10555,54877,54878],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,54879],{"d":42281},[120,54881,152],{"className":54882},[188],"，因此使用 Delta 方法求取。",[21,54885,54886],{},"由威布尔 CDF 线性化：",[21,54888,54889],{},[120,54890,54892,54968],{"className":54891},[123],[120,54893,54895],{"className":54894},[127],[129,54896,54897],{"xmlns":131},[133,54898,54899,54965],{},[136,54900,54901,54903,54905,54907,54909,54933,54935,54937],{},[139,54902,13288],{},[139,54904,9521],{},[139,54906,13288],{},[139,54908,9521],{},[136,54910,54911,54913,54931],{},[143,54912,146],{"fence":162},[1043,54914,54915,54917],{},[360,54916,1294],{},[136,54918,54919,54921,54923,54925,54927,54929],{},[360,54920,1294],{},[143,54922,669],{},[139,54924,300],{},[143,54926,146],{"stretchy":145},[139,54928,149],{},[143,54930,152],{"stretchy":145},[143,54932,152],{"fence":162},[143,54934,358],{},[139,54936,5525],{},[136,54938,54939,54941,54943,54945,54947,54949,54951,54953,54955,54957,54959,54961,54963],{},[143,54940,3855],{"fence":162},[139,54942,13288],{},[139,54944,9521],{},[143,54946,146],{"stretchy":145},[139,54948,149],{},[143,54950,152],{"stretchy":145},[143,54952,669],{},[139,54954,13288],{},[139,54956,9521],{},[143,54958,146],{"stretchy":145},[139,54960,5580],{},[143,54962,152],{"stretchy":145},[143,54964,3874],{"fence":162},[154,54966,54967],{"encoding":156},"lnln\\left( \\frac{1}{1 - Q(t)} \\right) = \\beta\\left\\lbrack ln(t) - ln(\\eta) \\right\\rbrack",[120,54969,54971,55099],{"className":54970,"ariaHidden":162},[161],[120,54972,54974,54977,54980,54983,54986,54989,54992,55090,55093,55096],{"className":54973},[166],[120,54975],{"className":54976,"style":3456},[170],[120,54978,13288],{"className":54979,"style":13717},[175,176],[120,54981,9521],{"className":54982},[175,176],[120,54984,13288],{"className":54985,"style":13717},[175,176],[120,54987,9521],{"className":54988},[175,176],[120,54990],{"className":54991,"style":993},[398],[120,54993,54995,55001,55084],{"className":54994},[2781],[120,54996,54998],{"className":54997,"style":2786},[181,2785],[120,54999,146],{"className":55000},[2790,3472],[120,55002,55004,55007,55081],{"className":55003},[175],[120,55005],{"className":55006},[181,1113],[120,55008,55010],{"className":55009},[1043],[120,55011,55013,55073],{"className":55012},[726,727],[120,55014,55016,55070],{"className":55015},[731],[120,55017,55019,55048,55056],{"className":55018,"style":9429},[735],[120,55020,55021,55024],{"style":1129},[120,55022],{"className":55023,"style":1133},[743],[120,55025,55027],{"className":55026},[748,749,750,751],[120,55028,55030,55033,55036,55039,55042,55045],{"className":55029},[175,751],[120,55031,1294],{"className":55032},[175,751],[120,55034,669],{"className":55035},[1356,751],[120,55037,300],{"className":55038},[175,176,751],[120,55040,146],{"className":55041},[181,751],[120,55043,149],{"className":55044},[175,176,751],[120,55046,152],{"className":55047},[188,751],[120,55049,55050,55053],{"style":1148},[120,55051],{"className":55052,"style":1133},[743],[120,55054],{"className":55055,"style":1156},[1155],[120,55057,55058,55061],{"style":1879},[120,55059],{"className":55060,"style":1133},[743],[120,55062,55064],{"className":55063},[748,749,750,751],[120,55065,55067],{"className":55066},[175,751],[120,55068,1294],{"className":55069},[175,751],[120,55071,762],{"className":55072},[761],[120,55074,55076],{"className":55075},[731],[120,55077,55079],{"className":55078,"style":1904},[735],[120,55080],{},[120,55082],{"className":55083},[188,1113],[120,55085,55087],{"className":55086,"style":2786},[188,2785],[120,55088,152],{"className":55089},[2790,3472],[120,55091],{"className":55092,"style":399},[398],[120,55094,358],{"className":55095},[403],[120,55097],{"className":55098,"style":399},[398],[120,55100,55102,55105,55108,55111],{"className":55101},[166],[120,55103],{"className":55104,"style":171},[170],[120,55106,5525],{"className":55107,"style":5542},[175,176],[120,55109],{"className":55110,"style":993},[398],[120,55112,55114,55117,55120,55123,55126,55129,55132,55135,55138,55141,55144,55147,55150,55153,55156],{"className":55113},[2781],[120,55115,3855],{"className":55116,"style":2786},[181,2785],[120,55118,13288],{"className":55119,"style":13717},[175,176],[120,55121,9521],{"className":55122},[175,176],[120,55124,146],{"className":55125},[181],[120,55127,149],{"className":55128},[175,176],[120,55130,152],{"className":55131},[188],[120,55133],{"className":55134,"style":1352},[398],[120,55136,669],{"className":55137},[1356],[120,55139],{"className":55140,"style":1352},[398],[120,55142,13288],{"className":55143,"style":13717},[175,176],[120,55145,9521],{"className":55146},[175,176],[120,55148,146],{"className":55149},[181],[120,55151,5580],{"className":55152,"style":5677},[175,176],[120,55154,152],{"className":55155},[188],[120,55157,3874],{"className":55158,"style":2786},[188,2785],[21,55160,55161],{},[120,55162,55164,55242],{"className":55163},[123],[120,55165,55167],{"className":55166},[127],[129,55168,55169],{"xmlns":131},[133,55170,55171,55239],{},[136,55172,55173,55175,55177,55179,55181,55183,55185,55187,55189,55195,55197,55199,55201,55203,55227,55229,55231,55233,55235,55237],{},[139,55174,53744],{},[143,55176,358],{},[139,55178,13288],{},[139,55180,9521],{},[143,55182,146],{"stretchy":145},[139,55184,149],{},[143,55186,152],{"stretchy":145},[143,55188,358],{},[1043,55190,55191,55193],{},[360,55192,1294],{},[139,55194,5525],{},[139,55196,13288],{},[139,55198,9521],{},[139,55200,13288],{},[139,55202,9521],{},[136,55204,55205,55207,55225],{},[143,55206,146],{"fence":162},[1043,55208,55209,55211],{},[360,55210,1294],{},[136,55212,55213,55215,55217,55219,55221,55223],{},[360,55214,1294],{},[143,55216,669],{},[139,55218,300],{},[143,55220,146],{"stretchy":145},[139,55222,149],{},[143,55224,152],{"stretchy":145},[143,55226,152],{"fence":162},[143,55228,2646],{},[139,55230,13288],{},[139,55232,9521],{},[143,55234,146],{"stretchy":145},[139,55236,5580],{},[143,55238,152],{"stretchy":145},[154,55240,55241],{"encoding":156},"u=ln(t)=\\frac{1}{\\beta}lnln\\left( \\frac{1}{1 - Q(t)} \\right)+ln(\\eta)",[120,55243,55245,55263,55293,55489],{"className":55244,"ariaHidden":162},[161],[120,55246,55248,55251,55254,55257,55260],{"className":55247},[166],[120,55249],{"className":55250,"style":10900},[170],[120,55252,53744],{"className":55253},[175,176],[120,55255],{"className":55256,"style":399},[398],[120,55258,358],{"className":55259},[403],[120,55261],{"className":55262,"style":399},[398],[120,55264,55266,55269,55272,55275,55278,55281,55284,55287,55290],{"className":55265},[166],[120,55267],{"className":55268,"style":171},[170],[120,55270,13288],{"className":55271,"style":13717},[175,176],[120,55273,9521],{"className":55274},[175,176],[120,55276,146],{"className":55277},[181],[120,55279,149],{"className":55280},[175,176],[120,55282,152],{"className":55283},[188],[120,55285],{"className":55286,"style":399},[398],[120,55288,358],{"className":55289},[403],[120,55291],{"className":55292,"style":399},[398],[120,55294,55296,55299,55367,55370,55373,55376,55379,55382,55480,55483,55486],{"className":55295},[166],[120,55297],{"className":55298,"style":3456},[170],[120,55300,55302,55305,55364],{"className":55301},[175],[120,55303],{"className":55304},[181,1113],[120,55306,55308],{"className":55307},[1043],[120,55309,55311,55356],{"className":55310},[726,727],[120,55312,55314,55353],{"className":55313},[731],[120,55315,55317,55331,55339],{"className":55316,"style":9429},[735],[120,55318,55319,55322],{"style":1129},[120,55320],{"className":55321,"style":1133},[743],[120,55323,55325],{"className":55324},[748,749,750,751],[120,55326,55328],{"className":55327},[175,751],[120,55329,5525],{"className":55330,"style":5542},[175,176,751],[120,55332,55333,55336],{"style":1148},[120,55334],{"className":55335,"style":1133},[743],[120,55337],{"className":55338,"style":1156},[1155],[120,55340,55341,55344],{"style":1879},[120,55342],{"className":55343,"style":1133},[743],[120,55345,55347],{"className":55346},[748,749,750,751],[120,55348,55350],{"className":55349},[175,751],[120,55351,1294],{"className":55352},[175,751],[120,55354,762],{"className":55355},[761],[120,55357,55359],{"className":55358},[731],[120,55360,55362],{"className":55361,"style":5762},[735],[120,55363],{},[120,55365],{"className":55366},[188,1113],[120,55368,13288],{"className":55369,"style":13717},[175,176],[120,55371,9521],{"className":55372},[175,176],[120,55374,13288],{"className":55375,"style":13717},[175,176],[120,55377,9521],{"className":55378},[175,176],[120,55380],{"className":55381,"style":993},[398],[120,55383,55385,55391,55474],{"className":55384},[2781],[120,55386,55388],{"className":55387,"style":2786},[181,2785],[120,55389,146],{"className":55390},[2790,3472],[120,55392,55394,55397,55471],{"className":55393},[175],[120,55395],{"className":55396},[181,1113],[120,55398,55400],{"className":55399},[1043],[120,55401,55403,55463],{"className":55402},[726,727],[120,55404,55406,55460],{"className":55405},[731],[120,55407,55409,55438,55446],{"className":55408,"style":9429},[735],[120,55410,55411,55414],{"style":1129},[120,55412],{"className":55413,"style":1133},[743],[120,55415,55417],{"className":55416},[748,749,750,751],[120,55418,55420,55423,55426,55429,55432,55435],{"className":55419},[175,751],[120,55421,1294],{"className":55422},[175,751],[120,55424,669],{"className":55425},[1356,751],[120,55427,300],{"className":55428},[175,176,751],[120,55430,146],{"className":55431},[181,751],[120,55433,149],{"className":55434},[175,176,751],[120,55436,152],{"className":55437},[188,751],[120,55439,55440,55443],{"style":1148},[120,55441],{"className":55442,"style":1133},[743],[120,55444],{"className":55445,"style":1156},[1155],[120,55447,55448,55451],{"style":1879},[120,55449],{"className":55450,"style":1133},[743],[120,55452,55454],{"className":55453},[748,749,750,751],[120,55455,55457],{"className":55456},[175,751],[120,55458,1294],{"className":55459},[175,751],[120,55461,762],{"className":55462},[761],[120,55464,55466],{"className":55465},[731],[120,55467,55469],{"className":55468,"style":1904},[735],[120,55470],{},[120,55472],{"className":55473},[188,1113],[120,55475,55477],{"className":55476,"style":2786},[188,2785],[120,55478,152],{"className":55479},[2790,3472],[120,55481],{"className":55482,"style":1352},[398],[120,55484,2646],{"className":55485},[1356],[120,55487],{"className":55488,"style":1352},[398],[120,55490,55492,55495,55498,55501,55504,55507],{"className":55491},[166],[120,55493],{"className":55494,"style":171},[170],[120,55496,13288],{"className":55497,"style":13717},[175,176],[120,55499,9521],{"className":55500},[175,176],[120,55502,146],{"className":55503},[181],[120,55505,5580],{"className":55506,"style":5677},[175,176],[120,55508,152],{"className":55509},[188],[21,55511,47164],{},[21,55513,55514],{},[120,55515,55517,55677],{"className":55516},[123],[120,55518,55520],{"className":55519},[127],[129,55521,55522],{"xmlns":131},[133,55523,55524,55674],{},[136,55525,55526,55528,55530,55532,55534,55536,55538,55540,55564,55566,55568,55570,55572,55574,55576,55578,55602,55604,55606,55608,55610,55612,55614,55616,55618,55638,55658,55660,55662,55664,55666,55668,55670,55672],{},[139,55527,45464],{},[139,55529,29285],{},[139,55531,24176],{},[143,55533,146],{"stretchy":145},[139,55535,53744],{},[143,55537,152],{"stretchy":145},[143,55539,358],{},[3621,55541,55542,55562],{},[136,55543,55544,55546,55560],{},[143,55545,146],{"fence":162},[1043,55547,55548,55554],{},[136,55549,55550,55552],{},[139,55551,44330],{"mathvariant":672},[139,55553,53744],{},[136,55555,55556,55558],{},[139,55557,44330],{"mathvariant":672},[139,55559,5525],{},[143,55561,152],{"fence":162},[360,55563,9849],{},[139,55565,45464],{},[139,55567,29285],{},[139,55569,24176],{},[143,55571,146],{"stretchy":145},[139,55573,5525],{},[143,55575,152],{"stretchy":145},[143,55577,2646],{},[3621,55579,55580,55600],{},[136,55581,55582,55584,55598],{},[143,55583,146],{"fence":162},[1043,55585,55586,55592],{},[136,55587,55588,55590],{},[139,55589,44330],{"mathvariant":672},[139,55591,53744],{},[136,55593,55594,55596],{},[139,55595,44330],{"mathvariant":672},[139,55597,5580],{},[143,55599,152],{"fence":162},[360,55601,9849],{},[139,55603,45464],{},[139,55605,29285],{},[139,55607,24176],{},[143,55609,146],{"stretchy":145},[139,55611,5580],{},[143,55613,152],{"stretchy":145},[143,55615,2646],{},[360,55617,9849],{},[136,55619,55620,55622,55636],{},[143,55621,146],{"fence":162},[1043,55623,55624,55630],{},[136,55625,55626,55628],{},[139,55627,44330],{"mathvariant":672},[139,55629,53744],{},[136,55631,55632,55634],{},[139,55633,44330],{"mathvariant":672},[139,55635,5525],{},[143,55637,152],{"fence":162},[136,55639,55640,55642,55656],{},[143,55641,146],{"fence":162},[1043,55643,55644,55650],{},[136,55645,55646,55648],{},[139,55647,44330],{"mathvariant":672},[139,55649,53744],{},[136,55651,55652,55654],{},[139,55653,44330],{"mathvariant":672},[139,55655,5580],{},[143,55657,152],{"fence":162},[139,55659,22539],{},[139,55661,24173],{},[139,55663,33152],{},[143,55665,146],{"stretchy":145},[139,55667,5525],{},[143,55669,5577],{"separator":162},[139,55671,5580],{},[143,55673,152],{"stretchy":145},[154,55675,55676],{"encoding":156},"Var(u) = \\left( \\frac{\\partial u}{\\partial\\beta} \\right)^{2}Var(\\beta) + \\left( \\frac{\\partial u}{\\partial\\eta} \\right)^{2}Var(\\eta) + 2\\left( \\frac{\\partial u}{\\partial\\beta} \\right)\\left( \\frac{\\partial u}{\\partial\\eta} \\right)Cov(\\beta,\\eta)",[120,55678,55680,55710,55864,56015],{"className":55679,"ariaHidden":162},[161],[120,55681,55683,55686,55689,55692,55695,55698,55701,55704,55707],{"className":55682},[166],[120,55684],{"className":55685,"style":171},[170],[120,55687,45959],{"className":55688},[175,176],[120,55690,24176],{"className":55691,"style":24205},[175,176],[120,55693,146],{"className":55694},[181],[120,55696,53744],{"className":55697},[175,176],[120,55699,152],{"className":55700},[188],[120,55702],{"className":55703,"style":399},[398],[120,55705,358],{"className":55706},[403],[120,55708],{"className":55709,"style":399},[398],[120,55711,55713,55717,55837,55840,55843,55846,55849,55852,55855,55858,55861],{"className":55712},[166],[120,55714],{"className":55715,"style":55716},[170],"height:2.004em;vertical-align:-0.65em;",[120,55718,55720,55810],{"className":55719},[2781],[120,55721,55723,55729,55804],{"className":55722},[2781],[120,55724,55726],{"className":55725,"style":2786},[181,2785],[120,55727,146],{"className":55728},[2790,3472],[120,55730,55732,55735,55801],{"className":55731},[175],[120,55733],{"className":55734},[181,1113],[120,55736,55738],{"className":55737},[1043],[120,55739,55741,55793],{"className":55740},[726,727],[120,55742,55744,55790],{"className":55743},[731],[120,55745,55748,55765,55773],{"className":55746,"style":55747},[735],"height:0.8801em;",[120,55749,55750,55753],{"style":1129},[120,55751],{"className":55752,"style":1133},[743],[120,55754,55756],{"className":55755},[748,749,750,751],[120,55757,55759,55762],{"className":55758},[175,751],[120,55760,44330],{"className":55761,"style":44611},[175,751],[120,55763,5525],{"className":55764,"style":5542},[175,176,751],[120,55766,55767,55770],{"style":1148},[120,55768],{"className":55769,"style":1133},[743],[120,55771],{"className":55772,"style":1156},[1155],[120,55774,55775,55778],{"style":1879},[120,55776],{"className":55777,"style":1133},[743],[120,55779,55781],{"className":55780},[748,749,750,751],[120,55782,55784,55787],{"className":55783},[175,751],[120,55785,44330],{"className":55786,"style":44611},[175,751],[120,55788,53744],{"className":55789},[175,176,751],[120,55791,762],{"className":55792},[761],[120,55794,55796],{"className":55795},[731],[120,55797,55799],{"className":55798,"style":5762},[735],[120,55800],{},[120,55802],{"className":55803},[188,1113],[120,55805,55807],{"className":55806,"style":2786},[188,2785],[120,55808,152],{"className":55809},[2790,3472],[120,55811,55813],{"className":55812},[722],[120,55814,55816],{"className":55815},[726],[120,55817,55819],{"className":55818},[731],[120,55820,55823],{"className":55821,"style":55822},[735],"height:1.354em;",[120,55824,55825,55828],{"style":5873},[120,55826],{"className":55827,"style":744},[743],[120,55829,55831],{"className":55830},[748,749,750,751],[120,55832,55834],{"className":55833},[175,751],[120,55835,9849],{"className":55836},[175,751],[120,55838],{"className":55839,"style":993},[398],[120,55841,45959],{"className":55842},[175,176],[120,55844,24176],{"className":55845,"style":24205},[175,176],[120,55847,146],{"className":55848},[181],[120,55850,5525],{"className":55851,"style":5542},[175,176],[120,55853,152],{"className":55854},[188],[120,55856],{"className":55857,"style":1352},[398],[120,55859,2646],{"className":55860},[1356],[120,55862],{"className":55863,"style":1352},[398],[120,55865,55867,55870,55988,55991,55994,55997,56000,56003,56006,56009,56012],{"className":55866},[166],[120,55868],{"className":55869,"style":55716},[170],[120,55871,55873,55962],{"className":55872},[2781],[120,55874,55876,55882,55956],{"className":55875},[2781],[120,55877,55879],{"className":55878,"style":2786},[181,2785],[120,55880,146],{"className":55881},[2790,3472],[120,55883,55885,55888,55953],{"className":55884},[175],[120,55886],{"className":55887},[181,1113],[120,55889,55891],{"className":55890},[1043],[120,55892,55894,55945],{"className":55893},[726,727],[120,55895,55897,55942],{"className":55896},[731],[120,55898,55900,55917,55925],{"className":55899,"style":55747},[735],[120,55901,55902,55905],{"style":1129},[120,55903],{"className":55904,"style":1133},[743],[120,55906,55908],{"className":55907},[748,749,750,751],[120,55909,55911,55914],{"className":55910},[175,751],[120,55912,44330],{"className":55913,"style":44611},[175,751],[120,55915,5580],{"className":55916,"style":5677},[175,176,751],[120,55918,55919,55922],{"style":1148},[120,55920],{"className":55921,"style":1133},[743],[120,55923],{"className":55924,"style":1156},[1155],[120,55926,55927,55930],{"style":1879},[120,55928],{"className":55929,"style":1133},[743],[120,55931,55933],{"className":55932},[748,749,750,751],[120,55934,55936,55939],{"className":55935},[175,751],[120,55937,44330],{"className":55938,"style":44611},[175,751],[120,55940,53744],{"className":55941},[175,176,751],[120,55943,762],{"className":55944},[761],[120,55946,55948],{"className":55947},[731],[120,55949,55951],{"className":55950,"style":5762},[735],[120,559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,[120,56236,152],{"className":56237},[188],[21,56239,56240],{},[120,56241,56243,56418],{"className":56242},[123],[120,56244,56246],{"className":56245},[127],[129,56247,56248],{"xmlns":131},[133,56249,56250,56415],{},[136,56251,56252,56254,56265,56305,56307,56309,56311,56313,56315,56317,56319,56335,56337,56339,56341,56343,56345,56347,56349,56363,56399,56401,56403,56405,56407,56409,56411,56413],{},[143,56253,358],{},[1043,56255,56256,56258],{},[360,56257,1294],{},[3621,56259,56260,56262],{},[139,56261,5525],{},[360,56263,56264],{},"4",[3621,56266,56267,56303],{},[136,56268,56269,56271,56273,56275,56277,56279,56301],{},[143,56270,146],{"fence":162},[139,56272,13288],{},[139,56274,9521],{},[139,56276,13288],{},[139,56278,9521],{},[136,56280,56281,56283,56299],{},[143,56282,146],{"fence":162},[1043,56284,56285,56287],{},[360,56286,1294],{},[136,56288,56289,56291,56293,56295,56297],{},[143,56290,146],{"stretchy":145},[360,56292,1294],{},[143,56294,669],{},[139,56296,300],{},[143,56298,152],{"stretchy":145},[143,56300,152],{"fence":162},[143,56302,152],{"fence":162},[360,56304,9849],{},[139,56306,45464],{},[139,56308,29285],{},[139,56310,24176],{},[143,56312,146],{"stretchy":145},[139,56314,5525],{},[143,56316,152],{"stretchy":145},[143,56318,2646],{},[3621,56320,56321,56333],{},[136,56322,56323,56325,56331],{},[143,56324,146],{"fence":162},[1043,56326,56327,56329],{},[360,56328,1294],{},[139,56330,5580],{},[143,56332,152],{"fence":162},[360,56334,9849],{},[139,56336,45464],{},[139,56338,29285],{},[139,56340,24176],{},[143,56342,146],{"stretchy":145},[139,56344,5580],{},[143,56346,152],{"stretchy":145},[143,56348,669],{},[1043,56350,56351,56353],{},[360,56352,9849],{},[3621,56354,56355,56361],{},[136,56356,56357,56359],{},[139,56358,5580],{},[139,56360,5525],{},[360,56362,9849],{},[136,56364,56365,56367,56369,56371,56373,56375,56397],{},[143,56366,146],{"fence":162},[139,56368,13288],{},[139,56370,9521],{},[139,56372,13288],{},[139,56374,9521],{},[136,56376,56377,56379,56395],{},[143,56378,146],{"fence":162},[1043,56380,56381,56383],{},[360,56382,1294],{},[136,56384,56385,56387,56389,56391,56393],{},[143,56386,146],{"stretchy":145},[360,56388,1294],{},[143,56390,669],{},[139,56392,300],{},[143,56394,152],{"stretchy":145},[143,56396,152],{"fence":162},[143,56398,152],{"fence":162},[139,56400,22539],{},[139,56402,24173],{},[139,56404,33152],{},[143,56406,146],{"stretchy":145},[139,56408,5525],{},[143,56410,5577],{"separator":162},[139,56412,5580],{},[143,56414,152],{"stretchy":145},[154,56416,56417],{"encoding":156},"= \\frac{1}{\\beta^{4}}\\left( lnln\\left( \\frac{1}{(1 - Q)} \\right) \\right)^{2}Var(\\beta) + \\left( \\frac{1}{\\eta} \\right)^{2}Var(\\eta) - \\frac{2}{{\\eta\\beta}^{2}}\\left( lnln\\left( \\frac{1}{(1 - Q)} \\right) \\right)Cov(\\beta,\\eta)",[120,56419,56421,56433,56720,56865],{"className":56420,"ariaHidden":162},[161],[120,56422,56424,56427,56430],{"className":56423},[166],[120,56425],{"className":56426,"style":22271},[170],[120,56428,358],{"className":56429},[403],[120,56431],{"className":56432,"style":399},[398],[120,56434,56436,56439,56536,56539,56693,56696,56699,56702,56705,56708,56711,56714,56717],{"className":56435},[166],[120,56437],{"className":56438,"style":55716},[170],[120,56440,56442,56445,56533],{"className":56441},[175],[120,56443],{"className":56444},[181,1113],[120,56446,56448],{"className":56447},[1043],[120,56449,56451,56525],{"className":56450},[726,727],[120,56452,56454,56522],{"className":56453},[731],[120,56455,56457,56500,56508],{"className":56456,"style":9429},[735],[120,56458,56459,56462],{"style":1129},[120,56460],{"className":56461,"style":1133},[743],[120,56463,56465],{"className":56464},[748,749,750,751],[120,56466,56468],{"className":56467},[175,751],[120,56469,56471,56474],{"className":56470},[175,751],[120,56472,5525],{"className":56473,"style":5542},[175,176,751],[120,56475,56477],{"className":56476},[722],[120,56478,56480],{"className":56479},[726],[120,56481,56483],{"className":56482},[731],[120,56484,56486],{"className":56485,"style":44630},[735],[120,56487,56488,56491],{"style":13416},[120,56489],{"className":56490,"style":954},[743],[120,56492,56494],{"className":56493},[748,958,959,751],[120,56495,56497],{"className":56496},[175,751],[120,56498,56264],{"className":56499},[175,751],[120,56501,56502,56505],{"style":1148},[120,56503],{"className":56504,"style":1133},[743],[120,56506],{"className":56507,"style":1156},[1155],[120,56509,56510,56513],{"style":1879},[120,56511],{"className":56512,"style":1133},[743],[120,56514,56516],{"className":56515},[748,749,750,751],[120,56517,56519],{"className":56518},[175,751],[120,56520,1294],{"className":56521},[175,751],[120,56523,762],{"className":56524},[761],[120,56526,56528],{"className":56527},[731],[120,56529,56531],{"className":56530,"style":5762},[735],[120,56532],{},[120,56534],{"className":56535},[188,1113],[120,56537],{"className":56538,"style":993},[398],[120,56540,56542,56667],{"className":56541},[2781],[120,56543,56545,56551,56554,56557,56560,56563,56566,56661],{"className":56544},[2781],[120,56546,56548],{"className":56547,"style":2786},[181,2785],[120,56549,146],{"className":56550},[2790,3472],[120,56552,13288],{"className":56553,"style":13717},[175,176],[120,56555,9521],{"className":56556},[175,176],[120,56558,13288],{"className":56559,"style":13717},[175,176],[120,56561,9521],{"className":56562},[175,176],[120,56564],{"className":56565,"style":993},[398],[120,56567,56569,56575,56655],{"className":56568},[2781],[120,56570,56572],{"className":56571,"style":2786},[181,2785],[120,56573,146],{"className":56574},[2790,3472],[120,56576,56578,56581,56652],{"className":56577},[175],[120,56579],{"className":56580},[181,1113],[120,56582,56584],{"className":56583},[1043],[120,56585,56587,56644],{"className":56586},[726,727],[120,56588,56590,56641],{"className":56589},[731],[120,56591,56593,56619,56627],{"className":56592,"style":9429},[735],[120,56594,56595,56598],{"style":1129},[120,56596],{"className":56597,"style":1133},[743],[120,56599,56601],{"className":56600},[748,749,750,751],[120,56602,56604,56607,56610,56613,56616],{"className":56603},[175,751],[120,56605,146],{"className":56606},[181,751],[120,56608,1294],{"className":56609},[175,751],[120,56611,669],{"className":56612},[1356,751],[120,56614,300],{"className":56615},[175,176,751],[120,56617,152],{"className":56618},[188,751],[120,56620,56621,56624],{"style":1148},[120,56622],{"className":56623,"style":1133},[743],[120,56625],{"className":56626,"style":1156},[1155],[120,56628,56629,56632],{"style":1879},[120,56630],{"className":56631,"style":1133},[743],[120,56633,56635],{"className":56634},[748,749,750,751],[120,56636,56638],{"className":56637},[175,751],[120,56639,1294],{"className":56640},[175,751],[120,56642,762],{"className":56643},[761],[120,56645,56647],{"className":56646},[731],[120,56648,56650],{"className":56649,"style":1904},[735],[120,56651],{},[120,56653],{"className":56654},[188,1113],[120,56656,56658],{"className":56657,"style":2786},[188,2785],[120,56659,152],{"className":56660},[2790,3472],[120,56662,56664],{"className":56663,"style":2786},[188,2785],[120,56665,152],{"className":56666},[2790,3472],[120,56668,56670],{"className":56669},[722],[120,56671,56673],{"className":56672},[726],[120,56674,56676],{"className":56675},[731],[120,56677,56679],{"className":56678,"style":55822},[735],[120,56680,56681,56684],{"style":5873},[120,56682],{"className":56683,"style":744},[743],[120,56685,56687],{"className":56686},[748,749,750,751],[120,56688,56690],{"className":56689},[175,751],[120,56691,9849],{"className":56692},[175,751],[120,56694],{"className":56695,"style":993},[398],[120,56697,45959],{"className":56698},[175,176],[120,56700,24176],{"className":56701,"style":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Var(\\widehat{\\eta})=76.42,\\quad Q=0.1,\\quad \\widehat{\\beta}=2.55,\\quad 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07,"style":57325},[398],[120,57509],{"className":57510,"style":993},[398],[120,57512,57514],{"className":57513},[175,3378],[120,57515,57517,57546],{"className":57516},[726,727],[120,57518,57520,57543],{"className":57519},[731],[120,57521,57523,57531],{"className":57522,"style":42336},[735],[120,57524,57525,57528],{"style":3116},[120,57526],{"className":57527,"style":1133},[743],[120,57529,5580],{"className":57530,"style":5677},[175,176],[120,57532,57534,57537],{"className":57533,"style":42348},[10529],[120,57535],{"className":57536,"style":1133},[743],[120,57538,57539],{"style":42272},[10555,57540,57541],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,57542],{"d":42281},[120,57544,762],{"className":57545},[761],[120,57547,57549],{"className":57548},[731],[120,57550,57552],{"className":57551,"style":30158},[735],[120,57553],{},[120,57555],{"className":57556,"style":399},[398],[120,57558,358],{"className":57559},[403],[120,57561],{"className":57562,"style":399},[398],[120,57564,57566,57569],{"className":57565},[166],[120,57567],{"className":57568,"style":447},[170],[120,57570,50324],{"className":57571},[175],[21,57573,57574],{},"得到：",[21,57576,57577],{},[120,57578,57580,57613],{"className":57579},[123],[120,57581,57583],{"className":57582},[127],[129,57584,57585],{"xmlns":131},[133,57586,57587,57610],{},[136,57588,57589,57591,57593,57595,57597,57603,57605,57607],{},[139,57590,45464],{},[139,57592,29285],{},[139,57594,24176],{},[143,57596,146],{"stretchy":145},[3081,57598,57599,57601],{"accent":162},[139,57600,53744],{},[143,57602,42228],{"stretchy":162},[143,57604,152],{"stretchy":145},[143,57606,358],{},[360,57608,57609],{},"0.1854",[154,57611,57612],{"encoding":156},"Var(\\widehat{u})=0.1854",[120,57614,57616,57675],{"className":57615,"ariaHidden":162},[161],[120,57617,57619,57622,57625,57628,57631,57663,57666,57669,57672],{"className":57618},[166],[120,57620],{"className":57621,"style":171},[170],[120,57623,45959],{"className":57624},[175,176],[120,57626,24176],{"className":57627,"style":24205},[175,176],[120,57629,146],{"className":57630},[181],[120,57632,57634],{"className":57633},[175,3378],[120,57635,57637],{"className":57636},[726],[120,57638,57640],{"className":57639},[731],[120,57641,57643,57651],{"className":57642,"style":42336},[735],[120,57644,57645,57648],{"style":3116},[120,57646],{"className":57647,"style":1133},[743],[120,57649,53744],{"className":57650},[175,176],[120,57652,57654,57657],{"className":57653,"style":53957},[10529],[120,57655],{"className":57656,"style":1133},[743],[120,57658,57659],{"style":42272},[10555,57660,57661],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,57662],{"d":42281},[120,57664,152],{"className":57665},[188],[120,57667],{"className":57668,"style":399},[398],[120,57670,358],{"className":57671},[403],[120,57673],{"className":57674,"style":399},[398],[120,57676,57678,57681],{"className":57677},[166],[120,57679],{"className":57680,"style":447},[170],[120,57682,57609],{"className":57683},[175],[21,57685,57686],{},[120,57687,57689,57724],{"className":57688},[123],[120,57690,57692],{"className":57691},[127],[129,57693,57694],{"xmlns":131},[133,57695,57696,57721],{},[136,57697,57698,57704,57706,57708,57710,57712,57714,57716,57718],{},[3081,57699,57700,57702],{"accent":162},[139,57701,53744],{},[143,57703,42228],{"stretchy":162},[143,57705,358],{},[139,57707,5230],{},[143,57709,5233],{},[143,57711,146],{"stretchy":145},[360,57713,53491],{},[143,57715,152],{"stretchy":145},[143,57717,358],{},[360,57719,57720],{},"2.804",[154,57722,57723],{"encoding":156},"\\widehat{u}=\\ln(16.5)=2.804",[120,57725,57727,57774,57801],{"className":57726,"ariaHidden":162},[161],[120,57728,57730,57733,57765,57768,57771],{"className":57729},[166],[120,57731],{"className":57732,"style":42336},[170],[120,57734,57736],{"className":57735},[175,3378],[120,57737,57739],{"className":57738},[726],[120,57740,57742],{"className":57741},[731],[120,57743,57745,57753],{"className":57744,"style":42336},[735],[120,57746,57747,57750],{"style":3116},[120,57748],{"className":57749,"style":1133},[743],[120,57751,53744],{"className":57752},[175,176],[120,57754,57756,57759],{"className":57755,"style":53957},[10529],[120,57757],{"className":57758,"style":1133},[743],[120,57760,57761],{"style":42272},[10555,57762,57763],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,57764],{"d":42281},[120,57766],{"className":57767,"style":399},[398],[120,57769,358],{"className":57770},[403],[120,57772],{"className":57773,"style":399},[398],[120,57775,57777,57780,57783,57786,57789,57792,57795,57798],{"className":57776},[166],[120,57778],{"className":57779,"style":171},[170],[120,57781,5230],{"className":57782},[879],[120,57784,146],{"className":57785},[181],[120,57787,53491],{"className":57788},[175],[120,57790,152],{"className":57791},[188],[120,57793],{"className":57794,"style":399},[398],[120,57796,358],{"className":57797},[403],[120,57799],{"className":57800,"style":399},[398],[120,57802,57804,57807],{"className":57803},[166],[120,57805],{"className":57806,"style":447},[170],[120,57808,57720],{"className":57809},[175],[21,57811,47476],{},[21,57813,57814],{},[120,57815,57817,57856],{"className":57816},[123],[120,57818,57820],{"className":57819},[127],[129,57821,57822],{"xmlns":131},[133,57823,57824,57853],{},[136,57825,57826,57832,57834,57837,57839,57842,57848,57850],{},[629,57827,57828,57830],{},[139,57829,53744],{},[139,57831,35535],{},[143,57833,358],{},[360,57835,57836],{},"3.513",[143,57838,5577],{"separator":162},[398,57840],{"width":57841},"2em",[629,57843,57844,57846],{},[139,57845,53744],{},[139,57847,26229],{},[143,57849,358],{},[360,57851,57852],{},"2.096",[154,57854,57855],{"encoding":156},"u_U=3.513,\\qquad u_L=2.096",[120,57857,57859,57914,57983],{"className":57858,"ariaHidden":162},[161],[120,57860,57862,57865,57905,57908,57911],{"className":57861},[166],[120,57863],{"className":57864,"style":29520},[170],[120,57866,57868,57871],{"className":57867},[175],[120,57869,53744],{"className":57870},[175,176],[120,57872,57874],{"className":57873},[722],[120,57875,57877,57897],{"className":57876},[726,727],[120,57878,57880,57894],{"className":57879},[731],[120,57881,57883],{"className":57882,"style":33392},[735],[120,57884,57885,57888],{"style":739},[120,57886],{"className":57887,"style":744},[743],[120,57889,57891],{"className":57890},[748,749,750,751],[120,57892,35535],{"className":57893,"style":1859},[175,176,751],[120,57895,762],{"className":57896},[761],[120,57898,57900],{"className":57899},[731],[120,57901,57903],{"className":57902,"style":769},[735],[120,57904],{},[120,57906],{"className":57907,"style":399},[398],[120,57909,358],{"className":57910},[403],[120,57912],{"className":57913,"style":399},[398],[120,57915,57917,57921,57924,57927,57931,57934,57974,57977,57980],{"className":57916},[166],[120,57918],{"className":57919,"style":57920},[170],"height:0.8389em;vertical-align:-0.1944em;",[120,57922,57836],{"className":57923},[175],[120,57925,5577],{"className":57926},[5661],[120,57928],{"className":57929,"style":57930},[398],"margin-right:2em;",[120,57932],{"className":57933,"style":993},[398],[120,57935,57937,57940],{"className":57936},[175],[120,57938,53744],{"className":57939},[175,176],[120,57941,57943],{"className":57942},[722],[120,57944,57946,57966],{"className":57945},[726,727],[120,57947,57949,57963],{"className":57948},[731],[120,57950,57952],{"className":57951,"style":33392},[735],[120,57953,57954,57957],{"style":739},[120,57955],{"className":57956,"style":744},[743],[120,57958,57960],{"className":57959},[748,749,750,751],[120,57961,26229],{"className":57962},[175,176,751],[120,57964,762],{"className":57965},[761],[120,57967,57969],{"className":57968},[731],[120,57970,57972],{"className":57971,"style":769},[735],[120,57973],{},[120,57975],{"className":57976,"style":399},[398],[120,57978,358],{"className":57979},[403],[120,57981],{"className":57982,"style":399},[398],[120,57984,57986,57989],{"className":57985},[166],[120,57987],{"className":57988,"style":447},[170],[120,57990,57852],{"className":57991},[175],[21,57993,19324,57994,58061,58062,6200],{},[120,57995,57997,58022],{"className":57996},[123],[120,57998,58000],{"className":57999},[127],[129,58001,58002],{"xmlns":131},[133,58003,58004,58020],{},[136,58005,58006,58008,58010,58012,58014,58016,58018],{},[139,58007,53744],{},[143,58009,358],{},[139,58011,5230],{},[143,58013,5233],{},[143,58015,146],{"stretchy":145},[139,58017,149],{},[143,58019,152],{"stretchy":145},[154,58021,53759],{"encoding":156},[120,58023,58025,58043],{"className":58024,"ariaHidden":162},[161],[120,58026,58028,58031,58034,58037,58040],{"className":58027},[166],[120,58029],{"className":58030,"style":10900},[170],[120,58032,53744],{"className":58033},[175,176],[120,58035],{"className":58036,"style":399},[398],[120,58038,358],{"className":58039},[403],[120,58041],{"className":58042,"style":399},[398],[120,58044,58046,58049,58052,58055,58058],{"className":58045},[166],[120,58047],{"className":58048,"style":171},[170],[120,58050,5230],{"className":58051},[879],[120,58053,146],{"className":58054},[181],[120,58056,149],{"className":58057},[175,176],[120,58059,152],{"className":58060},[188],"，所以 ",[120,58063,58065,58092],{"className":58064},[123],[120,58066,58068],{"className":58067},[127],[129,58069,58070],{"xmlns":131},[133,58071,58072,58089],{},[136,58073,58074,58076,58078,58081,58083,58085,58087],{},[139,58075,149],{},[143,58077,358],{},[139,58079,58080],{},"exp",[143,58082,5233],{},[143,58084,146],{"stretchy":145},[139,58086,53744],{},[143,58088,152],{"stretchy":145},[154,58090,58091],{"encoding":156},"t=\\exp(u)",[120,58093,58095,58113],{"className":58094,"ariaHidden":162},[161],[120,58096,58098,58101,58104,58107,58110],{"className":58097},[166],[120,58099],{"className":58100,"style":231},[170],[120,58102,149],{"className":58103},[175,176],[120,58105],{"className":58106,"style":399},[398],[120,58108,358],{"className":58109},[403],[120,58111],{"className":58112,"style":399},[398],[120,58114,58116,58119,58122,58125,58128],{"className":58115},[166],[120,58117],{"className":58118,"style":171},[170],[120,58120,58080],{"className":58121},[879],[120,58123,146],{"className":58124},[181],[120,58126,53744],{"className":58127},[175,176],[120,58129,152],{"className":58130},[188],[21,58132,58133],{},[120,58134,58136,58175],{"className":58135},[123],[120,58137,58139],{"className":58138},[127],[129,58140,58141],{"xmlns":131},[133,58142,58143,58172],{},[136,58144,58145,58151,58153,58155,58157,58159,58165,58167,58169],{},[629,58146,58147,58149],{},[139,58148,149],{},[139,58150,35535],{},[143,58152,358],{},[139,58154,58080],{},[143,58156,5233],{},[143,58158,146],{"stretchy":145},[629,58160,58161,58163],{},[139,58162,53744],{},[139,58164,35535],{},[143,58166,152],{"stretchy":145},[143,58168,358],{},[360,58170,58171],{},"33.5",[154,58173,58174],{"encoding":156},"t_U=\\exp(u_U)=33.5",[120,58176,58178,58233,58297],{"className":58177,"ariaHidden":162},[161],[120,58179,58181,58184,58224,58227,58230],{"className":58180},[166],[120,58182],{"className":58183,"style":19809},[170],[120,58185,58187,58190],{"className":58186},[175],[120,58188,149],{"className":58189},[175,176],[120,58191,58193],{"className":58192},[722],[120,58194,58196,58216],{"className":58195},[726,727],[120,58197,58199,58213],{"className":58198},[731],[120,58200,58202],{"className":58201,"style":33392},[735],[120,58203,58204,58207],{"style":739},[120,58205],{"className":58206,"style":744},[743],[120,58208,58210],{"className":58209},[748,749,750,751],[120,58211,35535],{"className":58212,"style":1859},[175,176,751],[120,58214,762],{"className":58215},[761],[120,58217,58219],{"className":58218},[731],[120,58220,58222],{"className":58221,"style":769},[735],[120,58223],{},[120,58225],{"className":58226,"style":399},[398],[120,58228,358],{"className":58229},[403],[120,58231],{"className":58232,"style":399},[398],[120,58234,58236,58239,58242,58245,58285,58288,58291,58294],{"className":58235},[166],[120,58237],{"className":58238,"style":171},[170],[120,58240,58080],{"className":58241},[879],[120,58243,146],{"className":58244},[181],[120,58246,58248,58251],{"className":58247},[175],[120,58249,53744],{"className":58250},[175,176],[120,58252,58254],{"className":58253},[722],[120,58255,58257,58277],{"className":58256},[726,727],[120,58258,58260,58274],{"className":58259},[731],[120,58261,58263],{"className":58262,"style":33392},[735],[120,58264,58265,58268],{"style":739},[120,58266],{"className":58267,"style":744},[743],[120,58269,58271],{"className":58270},[748,749,750,751],[120,58272,35535],{"className":58273,"style":1859},[175,176,751],[120,58275,762],{"className":58276},[761],[120,58278,58280],{"className":58279},[731],[120,58281,58283],{"className":58282,"style":769},[735],[120,58284],{},[120,58286,152],{"className":58287},[188],[120,58289],{"className":58290,"style":399},[398],[120,58292,358],{"className":58293},[403],[120,58295],{"className":58296,"style":399},[398],[120,58298,58300,58303],{"className":58299},[166],[120,58301],{"className":58302,"style":447},[170],[120,58304,58171],{"className":58305},[175],[21,58307,58308],{},[120,58309,58311,58350],{"className":58310},[123],[120,58312,58314],{"className":58313},[127],[129,58315,58316],{"xmlns":131},[133,58317,58318,58347],{},[136,58319,58320,58326,58328,58330,58332,58334,58340,58342,58344],{},[629,58321,58322,58324],{},[139,58323,149],{},[139,58325,26229],{},[143,58327,358],{},[139,58329,58080],{},[143,58331,5233],{},[143,58333,146],{"stretchy":145},[629,58335,58336,58338],{},[139,58337,53744],{},[139,58339,26229],{},[143,58341,152],{"stretchy":145},[143,58343,358],{},[360,58345,58346],{},"8.13",[154,58348,58349],{"encoding":156},"t_L=\\exp(u_L)=8.13",[120,58351,58353,58408,58472],{"className":58352,"ariaHidden":162},[161],[120,58354,58356,58359,58399,58402,58405],{"className":58355},[166],[120,58357],{"className":58358,"style":19809},[170],[120,58360,58362,58365],{"className":58361},[175],[120,58363,149],{"className":58364},[175,176],[120,58366,58368],{"className":58367},[722],[120,58369,58371,58391],{"className":58370},[726,727],[120,58372,58374,58388],{"className":58373},[731],[120,58375,58377],{"className":58376,"style":33392},[735],[120,58378,58379,58382],{"style":739},[120,58380],{"className":58381,"style":744},[743],[120,58383,58385],{"className":58384},[748,749,750,751],[120,58386,26229],{"className":58387},[175,176,751],[120,58389,762],{"className":58390},[761],[120,58392,58394],{"className":58393},[731],[120,58395,58397],{"className":58396,"style":769},[735],[120,58398],{},[120,58400],{"className":58401,"style":399},[398],[120,58403,358],{"className":58404},[403],[120,58406],{"className":58407,"style":399},[398],[120,58409,58411,58414,58417,58420,58460,58463,58466,58469],{"className":58410},[166],[120,58412],{"className":58413,"style":171},[170],[120,58415,58080],{"className":58416},[879],[120,58418,146],{"className":58419},[181],[120,58421,58423,58426],{"className":58422},[175],[120,58424,53744],{"className":58425},[175,176],[120,58427,58429],{"className":58428},[722],[120,58430,58432,58452],{"className":58431},[726,727],[120,58433,58435,58449],{"className":58434},[731],[120,58436,58438],{"className":58437,"style":33392},[735],[120,58439,58440,58443],{"style":739},[120,58441],{"className":58442,"style":744},[743],[120,58444,58446],{"className":58445},[748,749,750,751],[120,58447,26229],{"className":58448},[175,176,751],[120,58450,762],{"className":58451},[761],[120,58453,58455],{"className":58454},[731],[120,58456,58458],{"className":58457,"style":769},[735],[120,58459],{},[120,58461,152],{"className":58462},[188],[120,58464],{"className":58465,"style":399},[398],[120,58467,358],{"className":58468},[403],[120,58470],{"className":58471,"style":399},[398],[120,58473,58475,58478],{"className":58474},[166],[120,58476],{"className":58477,"style":447},[170],[120,58479,58346],{"className":58480},[175],[62,58482],{"src":58483,"alt":58484,"width":66},"/media/image47.png","Q 等于 10% 时，时间的 90% Fisher 矩阵双侧置信限",[21,58486,58487,58488,58540,58541,58569],{},"在 ",[120,58489,58491,58510],{"className":58490},[123],[120,58492,58494],{"className":58493},[127],[129,58495,58496],{"xmlns":131},[133,58497,58498,58508],{},[136,58499,58500,58502,58504,58506],{},[139,58501,300],{},[143,58503,358],{},[360,58505,53024],{},[139,58507,23400],{"mathvariant":672},[154,58509,53029],{"encoding":156},[120,58511,58513,58531],{"className":58512,"ariaHidden":162},[161],[120,58514,58516,58519,58522,58525,58528],{"className":58515},[166],[120,58517],{"className":58518,"style":23584},[170],[120,58520,300],{"className":58521},[175,176],[120,58523],{"className":58524,"style":399},[398],[120,58526,358],{"className":58527},[403],[120,58529],{"className":58530,"style":399},[398],[120,58532,58534,58537],{"className":58533},[166],[120,58535],{"className":58536,"style":23545},[170],[120,58538,53060],{"className":58539},[175]," 处得到时间 ",[120,58542,58544,58557],{"className":58543},[123],[120,58545,58547],{"className":58546},[127],[129,58548,58549],{"xmlns":131},[133,58550,58551,58555],{},[136,58552,58553],{},[139,58554,149],{},[154,58556,149],{"encoding":156},[120,58558,58560],{"className":58559,"ariaHidden":162},[161],[120,58561,58563,58566],{"className":58562},[166],[120,58564],{"className":58565,"style":231},[170],[120,58567,149],{"className":58568},[175,176]," 的 90% 置信区间。对不同的 Q 值重复计算：",[62,58571],{"src":58572,"alt":58573,"width":77},"/media/image48.png","不同不可靠度下时间的 90% 置信限",[21,58575,58576],{},"将概率图上的各点连接起来，即得到置信限曲线：",[62,58578],{"src":58579,"alt":53000,"width":66},"/media/image49.png",[21,58581,58582],{},"时间的 Fisher 矩阵双侧置信限，置信水平 90%",[3590,58584,58586],{"id":58585},"可靠度的-fisher-矩阵置信限","可靠度的 Fisher 矩阵置信限",[21,58588,50247,58589,58591,58592,58643],{},[19768,58590,19774],{}," 拟合至二参数威布尔分布，求时间 ",[120,58593,58595,58613],{"className":58594},[123],[120,58596,58598],{"className":58597},[127],[129,58599,58600],{"xmlns":131},[133,58601,58602,58610],{},[136,58603,58604,58606,58608],{},[139,58605,149],{},[143,58607,358],{},[360,58609,38771],{},[154,58611,58612],{"encoding":156},"t=20",[120,58614,58616,58634],{"className":58615,"ariaHidden":162},[161],[120,58617,58619,58622,58625,58628,58631],{"className":58618},[166],[120,58620],{"className":58621,"style":231},[170],[120,58623,149],{"className":58624},[175,176],[120,58626],{"className":58627,"style":399},[398],[120,58629,358],{"className":58630},[403],[120,58632],{"className":58633,"style":399},[398],[120,58635,58637,58640],{"className":58636},[166],[120,58638],{"className":58639,"style":447},[170],[120,58641,38771],{"className":58642},[175]," 时不可靠度的 90% 置信限。",[21,58645,50253,58646,48153,58696,58746,58747,23725,58797,189],{},[120,58647,58649,58666],{"className":58648},[123],[120,58650,58652],{"className":58651},[127],[129,58653,58654],{"xmlns":131},[133,58655,58656,58664],{},[136,58657,58658,58660,58662],{},[139,58659,5525],{},[143,58661,358],{},[360,58663,50272],{},[154,58665,50275],{"encoding":156},[120,58667,58669,58687],{"className":58668,"ariaHidden":162},[161],[120,58670,58672,58675,58678,58681,58684],{"className":58671},[166],[120,58673],{"className":58674,"style":5538},[170],[120,58676,5525],{"className":58677,"style":5542},[175,176],[120,58679],{"className":58680,"style":399},[398],[120,58682,358],{"className":58683},[403],[120,58685],{"className":58686,"style":399},[398],[120,58688,58690,58693],{"className":58689},[166],[120,58691],{"className":58692,"style":447},[170],[120,58694,50272],{"className":58695},[175],[120,58697,58699,58716],{"className":58698},[123],[120,58700,58702],{"className":58701},[127],[129,58703,58704],{"xmlns":131},[133,58705,58706,58714],{},[136,58707,58708,58710,58712],{},[139,58709,5580],{},[143,58711,358],{},[360,58713,50324],{},[154,58715,50327],{"encoding":156},[120,58717,58719,58737],{"className":58718,"ariaHidden":162},[161],[120,58720,58722,58725,58728,58731,58734],{"className":58721},[166],[120,58723],{"className":58724,"style":6115},[170],[120,58726,5580],{"className":58727,"style":5677},[175,176],[120,58729],{"className":58730,"style":399},[398],[120,58732,358],{"className":58733},[403],[120,58735],{"className":58736,"style":399},[398],[120,58738,58740,58743],{"className":58739},[166],[120,58741],{"className":58742,"style":447},[170],[120,58744,50324],{"className":58745},[175],"。由威布尔 CDF，当 ",[120,58748,58750,58767],{"className":58749},[123],[120,58751,58753],{"className":58752},[127],[129,58754,58755],{"xmlns":131},[133,58756,58757,58765],{},[136,58758,58759,58761,58763],{},[139,58760,149],{},[143,58762,358],{},[360,58764,38771],{},[154,58766,58612],{"encoding":156},[120,58768,58770,58788],{"className":58769,"ariaHidden":162},[161],[120,58771,58773,58776,58779,58782,58785],{"className":58772},[166],[120,58774],{"className":58775,"style":231},[170],[120,58777,149],{"className":58778},[175,176],[120,58780],{"className":58781,"style":399},[398],[120,58783,358],{"className":58784},[403],[120,58786],{"className":58787,"style":399},[398],[120,58789,58791,58794],{"className":58790},[166],[120,58792],{"className":58793,"style":447},[170],[120,58795,38771],{"className":58796},[175],[120,58798,58800,58821],{"className":58799},[123],[120,58801,58803],{"className":58802},[127],[129,58804,58805],{"xmlns":131},[133,58806,58807,58818],{},[136,58808,58809,58811,58813,58816],{},[139,58810,300],{},[143,58812,358],{},[360,58814,58815],{},"15.8",[139,58817,23400],{"mathvariant":672},[154,58819,58820],{"encoding":156},"Q=15.8\\%",[120,58822,58824,58842],{"className":58823,"ariaHidden":162},[161],[120,58825,58827,58830,58833,58836,58839],{"className":58826},[166],[120,58828],{"className":58829,"style":23584},[170],[120,58831,300],{"className":58832},[175,176],[120,58834],{"className":58835,"style":399},[398],[120,58837,358],{"className":58838},[403],[120,58840],{"className":58841,"style":399},[398],[120,58843,58845,58848],{"className":58844},[166],[120,58846],{"className":58847,"style":23545},[170],[120,58849,58851],{"className":58850},[175],"15.8%",[21,58853,58854],{},"以下在均值为 15.8% 的不可靠度上建立正态置信限：",[62,58856],{"src":58857,"alt":58858,"width":66},"/media/image50.png","在均值为 0.158 的不可靠度上建立正态置信限",[21,58860,58861,58862,58969,58970,189],{},"由于 Y 轴采用双对数倒数尺度 ",[120,58863,58865,58909],{"className":58864},[123],[120,58866,58868],{"className":58867},[127],[129,58869,58870],{"xmlns":131},[133,58871,58872,58906],{},[136,58873,58874,58876,58878,58880,58882,58884,58886,58888,58890,58892,58894,58896,58898,58900,58902,58904],{},[139,58875,13288],{},[139,58877,9521],{},[139,58879,13288],{},[139,58881,9521],{},[143,58883,146],{"stretchy":145},[360,58885,1294],{},[139,58887,2520],{"mathvariant":672},[143,58889,146],{"stretchy":145},[360,58891,1294],{},[143,58893,669],{},[139,58895,300],{},[143,58897,146],{"stretchy":145},[139,58899,149],{},[143,58901,152],{"stretchy":145},[143,58903,152],{"stretchy":145},[143,58905,152],{"stretchy":145},[154,58907,58908],{"encoding":156},"lnln(1/(1-Q(t)))",[120,58910,58912,58951],{"className":58911,"ariaHidden":162},[161],[120,58913,58915,58918,58921,58924,58927,58930,58933,58936,58939,58942,58945,58948],{"className":58914},[166],[120,58916],{"className":58917,"style":171},[170],[120,58919,13288],{"className":58920,"style":13717},[175,176],[120,58922,9521],{"className":58923},[175,176],[120,58925,13288],{"className":58926,"style":13717},[175,176],[120,58928,9521],{"className":58929},[175,176],[120,58931,146],{"className":58932},[181],[120,58934,24982],{"className":58935},[175],[120,58937,146],{"className":58938},[181],[120,58940,1294],{"className":58941},[175],[120,58943],{"className":58944,"style":1352},[398],[120,58946,669],{"className":58947},[1356],[120,58949],{"className":58950,"style":1352},[398],[120,58952,58954,58957,58960,58963,58966],{"className":58953},[166],[120,58955],{"className":58956,"style":171},[170],[120,58958,300],{"className":58959},[175,176],[120,58961,146],{"className":58962},[181],[120,58964,149],{"className":58965},[175,176],[120,58967,21123],{"className":58968},[188],"，实际均值为 ",[120,58971,58973,59012],{"className":58972},[123],[120,58974,58976],{"className":58975},[127],[129,58977,58978],{"xmlns":131},[133,58979,58980,59009],{},[136,58981,58982,58984,58986,58988,58990,58992,58994,58996,58998,59000,59002,59005,59007],{},[139,58983,13288],{},[139,58985,9521],{},[139,58987,13288],{},[139,58989,9521],{},[143,58991,146],{"stretchy":145},[360,58993,1294],{},[139,58995,2520],{"mathvariant":672},[143,58997,146],{"stretchy":145},[360,58999,1294],{},[143,59001,669],{},[360,59003,59004],{},"0.158",[143,59006,152],{"stretchy":145},[143,59008,152],{"stretchy":145},[154,59010,59011],{"encoding":156},"lnln(1/(1-0.158))",[120,59013,59015,59054],{"className":59014,"ariaHidden":162},[161],[120,59016,59018,59021,59024,59027,59030,59033,59036,59039,59042,59045,59048,59051],{"className":59017},[166],[120,59019],{"className":59020,"style":171},[170],[120,59022,13288],{"className":59023,"style":13717},[175,176],[120,59025,9521],{"className":59026},[175,176],[120,59028,13288],{"className":59029,"style":13717},[175,176],[120,59031,9521],{"className":59032},[175,176],[120,59034,146],{"className":59035},[181],[120,59037,24982],{"className":59038},[175],[120,59040,146],{"className":59041},[181],[120,59043,1294],{"className":59044},[175],[120,59046],{"className":59047,"style":1352},[398],[120,59049,669],{"className":59050},[1356],[120,59052],{"className":59053,"style":1352},[398],[120,59055,59057,59060,59063],{"className":59056},[166],[120,59058],{"className":59059,"style":171},[170],[120,59061,59004],{"className":59062},[175],[120,59064,1187],{"className":59065},[188],[21,59067,34752],{},[21,59069,59070],{},[120,59071,59073,59121],{"className":59072},[123],[120,59074,59076],{"className":59075},[127],[129,59077,59078],{"xmlns":131},[133,59079,59080,59118],{},[136,59081,59082,59084,59086,59088,59090,59092,59094],{},[139,59083,53744],{},[143,59085,358],{},[139,59087,13288],{},[139,59089,9521],{},[139,59091,13288],{},[139,59093,9521],{},[136,59095,59096,59098,59116],{},[143,59097,146],{"fence":162},[1043,59099,59100,59102],{},[360,59101,1294],{},[136,59103,59104,59106,59108,59110,59112,59114],{},[360,59105,1294],{},[143,59107,669],{},[139,59109,300],{},[143,59111,146],{"stretchy":145},[139,59113,149],{},[143,59115,152],{"stretchy":145},[143,59117,152],{"fence":162},[154,59119,59120],{"encoding":156},"u = lnln\\left( \\frac{1}{1 - Q(t)} \\right)",[120,59122,59124,59142],{"className":59123,"ariaHidden":162},[161],[120,59125,59127,59130,59133,59136,59139],{"className":59126},[166],[120,59128],{"className":59129,"style":10900},[170],[120,59131,53744],{"className":59132},[175,176],[120,59134],{"className":59135,"style":399},[398],[120,59137,358],{"className":59138},[403],[120,59140],{"className":59141,"style":399},[398],[120,59143,59145,59148,59151,59154,59157,59160,59163],{"className":59144},[166],[120,59146],{"className":59147,"style":3456},[170],[120,59149,13288],{"className":59150,"style":13717},[175,176],[120,59152,9521],{"className":59153},[175,176],[120,59155,13288],{"className":59156,"style":13717},[175,176],[120,59158,9521],{"className":59159},[175,176],[120,59161],{"className":59162,"style":993},[398],[120,59164,59166,59172,59255],{"className":59165},[2781],[120,59167,59169],{"className":59168,"style":2786},[181,2785],[120,59170,146],{"className":59171},[2790,3472],[120,59173,59175,59178,59252],{"className":59174},[175],[120,59176],{"className":59177},[181,1113],[120,59179,59181],{"className":59180},[1043],[120,59182,59184,59244],{"className":59183},[726,727],[120,59185,59187,59241],{"className":59186},[731],[120,59188,59190,59219,59227],{"className":59189,"style":9429},[735],[120,59191,59192,59195],{"style":1129},[120,59193],{"className":59194,"style":1133},[743],[120,59196,59198],{"className":59197},[748,749,750,751],[120,59199,59201,59204,59207,59210,59213,59216],{"className":59200},[175,751],[120,59202,1294],{"className":59203},[175,751],[120,59205,669],{"className":59206},[1356,751],[120,59208,300],{"className":59209},[175,176,751],[120,59211,146],{"className":59212},[181,751],[120,59214,149],{"className":59215},[175,176,751],[120,59217,152],{"className":59218},[188,751],[120,59220,59221,59224],{"style":1148},[120,59222],{"className":59223,"style":1133},[743],[120,59225],{"className":59226,"style":1156},[1155],[120,59228,59229,59232],{"style":1879},[120,59230],{"className":59231,"style":1133},[743],[120,59233,59235],{"className":59234},[748,749,750,751],[120,59236,59238],{"className":59237},[175,751],[120,59239,1294],{"className":59240},[175,751],[120,59242,762],{"className":59243},[761],[120,59245,59247],{"className":59246},[731],[120,59248,59250],{"className":59249,"style":1904},[735],[120,59251],{},[120,59253],{"className":59254},[188,1113],[120,59256,59258],{"className":59257,"style":2786},[188,2785],[120,59259,152],{"className":59260},[2790,3472],[21,59262,59263],{},"则：",[21,59265,59266],{},[120,59267,59269,59330],{"className":59268},[123],[120,59270,59272],{"className":59271},[127],[129,59273,59274],{"xmlns":131},[133,59275,59276,59328],{},[136,59277,59278,59284,59286,59292,59294,59304,59306],{},[629,59279,59280,59282],{},[139,59281,53744],{},[139,59283,35535],{},[143,59285,358],{},[3081,59287,59288,59290],{"accent":162},[139,59289,53744],{},[143,59291,42228],{"stretchy":162},[143,59293,2646],{},[629,59295,59296,59298],{},[139,59297,46673],{},[1043,59299,59300,59302],{},[139,59301,46678],{},[360,59303,9849],{},[143,59305,42532],{},[10376,59307,59308],{},[136,59309,59310,59312,59314,59316],{},[139,59311,45464],{},[139,59313,29285],{},[139,59315,24176],{},[136,59317,59318,59320,59326],{},[143,59319,146],{"fence":162},[3081,59321,59322,59324],{"accent":162},[139,59323,53744],{},[143,59325,42228],{"stretchy":162},[143,59327,152],{"fence":162},[154,59329,53865],{"encoding":156},[120,59331,59333,59391,59438,59561],{"className":59332,"ariaHidden":162},[161],[120,59334,59336,59339,59382,59385,59388],{"className":59335},[166],[120,59337],{"className":59338,"style":29520},[170],[120,59340,59342,59345],{"className":59341},[175],[120,59343,53744],{"className":59344},[175,176],[120,59346,59348],{"className":59347},[722],[120,59349,59351,59374],{"className":59350},[726,727],[120,59352,59354,59371],{"className":59353},[731],[120,59355,59357],{"className":59356,"style":33392},[735],[120,59358,59359,59362],{"style":739},[120,59360],{"className":59361,"style":744},[743],[120,59363,59365],{"className":59364},[748,749,750,751],[120,59366,59368],{"className":59367},[175,751],[120,59369,35535],{"className":59370,"style":1859},[175,176,751],[120,59372,762],{"className":59373},[761],[120,59375,59377],{"className":59376},[731],[120,59378,59380],{"className":59379,"style":769},[735],[120,59381],{},[120,59383],{"className":59384,"style":399},[398],[120,59386,358],{"className":59387},[403],[120,59389],{"className":59390,"style":399},[398],[120,59392,59394,59397,59429,59432,59435],{"className":59393},[166],[120,59395],{"className":59396,"style":53933},[170],[120,59398,59400],{"className":59399},[175,3378],[120,59401,59403],{"className":59402},[726],[120,59404,59406],{"className":59405},[731],[120,59407,59409,59417],{"className":59408,"style":42336},[735],[120,59410,59411,59414],{"style":3116},[120,59412],{"className":59413,"style":1133},[743],[120,59415,53744],{"className":59416},[175,176],[120,59418,59420,59423],{"className":59419,"style":53957},[105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ln(t)-ln(\\eta)\\right\\rbrack",[120,60112,60114,60132],{"className":60113,"ariaHidden":162},[161],[120,60115,60117,60120,60123,60126,60129],{"className":60116},[166],[120,60118],{"className":60119,"style":10900},[170],[120,60121,53744],{"className":60122},[175,176],[120,60124],{"className":60125,"style":399},[398],[120,60127,358],{"className":60128},[403],[120,60130],{"className":60131,"style":399},[398],[120,60133,60135,60138,60141,60144],{"className":60134},[166],[120,60136],{"className":60137,"style":171},[170],[120,60139,5525],{"className":60140,"style":5542},[175,176],[120,60142],{"className":60143,"style":993},[398],[120,60145,60147,60150,60153,60156,60159,60162,60165,60168,60171,60174,60177,60180,60183,60186,60189],{"className":60146},[2781],[120,60148,3855],{"className":60149,"style":2786},[181,2785],[120,60151,13288],{"className":60152,"style":13717},[175,176],[120,60154,9521],{"className":60155},[175,176],[120,60157,146],{"className":60158},[181],[120,60160,149],{"className":60161},[175,176],[120,60163,152],{"className":60164},[188],[120,60166],{"className":60167,"style":1352},[398],[120,60169,669],{"className":60170},[1356],[120,60172],{"className":60173,"style":1352},[398],[120,60175,13288],{"className":60176,"style":13717},[175,176],[120,60178,9521],{"className":60179},[175,176],[120,60181,146],{"className":60182},[181],[120,60184,5580],{"className":60185,"style":5677},[175,176],[120,60187,152],{"className":60188},[188],[120,60190,3874],{"className":60191,"style":2786},[188,2785],[21,60193,60194],{},"应用 Delta 方法：",[21,60196,60197],{},[120,60198,60200,60356],{"className":60199},[123],[120,60201,60203],{"className":60202},[127],[129,60204,60205],{"xmlns":131},[133,60206,60207,60353],{},[136,60208,60209,60211,60213,60215,60217,60219,60221,60223,60255,60257,60259,60261,60263,60265,60267,60269,60285,60287,60289,60291,60293,60295,60297,60299,60309,60337,60339,60341,60343,60345,60347,60349,60351],{},[139,60210,45464],{},[139,60212,29285],{},[139,60214,24176],{},[143,60216,146],{"stretchy":145},[139,60218,53744],{},[143,60220,152],{"stretchy":145},[143,60222,358],{},[3621,60224,60225,60253],{},[136,60226,60227,60229,60231,60233,60235,60237,60239,60241,60243,60245,60247,60249,60251],{},[143,60228,146],{"fence":162},[139,60230,5230],{},[143,60232,5233],{},[143,60234,146],{"stretchy":145},[139,60236,149],{},[143,60238,152],{"stretchy":145},[143,60240,669],{},[139,60242,13288],{},[139,60244,9521],{},[143,60246,146],{"stretchy":145},[139,60248,5580],{},[143,60250,152],{"stretchy":145},[143,60252,152],{"fence":162},[360,60254,9849],{},[139,60256,45464],{},[139,60258,29285],{},[139,60260,24176],{},[143,60262,146],{"stretchy":145},[139,60264,5525],{},[143,60266,152],{"stretchy":145},[143,60268,2646],{},[3621,60270,60271,60283],{},[136,60272,60273,60275,60281],{},[143,60274,146],{"fence":162},[1043,60276,60277,60279],{},[139,60278,5525],{},[139,60280,5580],{},[143,60282,152],{"fence":162},[360,60284,9849],{},[139,60286,45464],{},[139,60288,29285],{},[139,60290,24176],{},[143,60292,146],{"stretchy":145},[139,60294,5580],{},[143,60296,152],{"stretchy":145},[143,60298,669],{},[1043,60300,60301,60307],{},[136,60302,60303,60305],{},[360,60304,9849],{},[139,60306,5525],{},[139,60308,5580],{},[136,60310,60311,60313,60315,60317,60319,60321,60323,60325,60327,60329,60331,60333,60335],{},[143,60312,146],{"fence":162},[139,60314,5230],{},[143,60316,5233],{},[143,60318,146],{"stretchy":145},[139,60320,149],{},[143,60322,152],{"stretchy":145},[143,60324,669],{},[139,60326,13288],{},[139,60328,9521],{},[143,60330,146],{"stretchy":145},[139,60332,5580],{},[143,60334,152],{"stretchy":145},[143,60336,152],{"fence":162},[139,60338,22539],{},[139,60340,24173],{},[139,60342,33152],{},[143,60344,146],{"stretchy":145},[139,60346,5525],{},[143,60348,5577],{"separator":162},[139,60350,5580],{},[143,60352,152],{"stretchy":145},[154,60354,60355],{"encoding":156},"Var(u) = \\left( \\ln(t) - ln(\\eta) \\right)^{2}Var(\\beta) + \\left( \\frac{\\beta}{\\eta} \\right)^{2}Var(\\eta) - \\frac{2\\beta}{\\eta}\\left( \\ln(t) - ln(\\eta) \\right)Cov(\\beta,\\eta)",[120,60357,60359,60389,60497,60642],{"className":60358,"ariaHidden":162},[161],[120,60360,60362,60365,60368,60371,60374,60377,60380,60383,60386],{"className":60361},[166],[120,60363],{"className":60364,"style":171},[170],[120,60366,45959],{"className":60367},[175,176],[120,60369,24176],{"className":60370,"style":24205},[175,176],[120,60372,146],{"className":60373},[181],[120,60375,53744],{"className":60376},[175,176],[120,60378,152],{"className":60379},[188],[120,60381],{"className":60382,"style":399},[398],[120,60384,358],{"className":60385},[403],[120,60387],{"className":60388,"style":399},[398],[120,60390,60392,60396,60470,60473,60476,60479,60482,60485,60488,60491,60494],{"className":60391},[166],[120,60393],{"className":60394,"style":60395},[170],"height:1.204em;vertical-align:-0.25em;",[120,60397,60399,60444],{"className":60398},[2781],[120,60400,60402,60405,60408,60411,60414,60417,60420,60423,60426,60429,60432,60435,60438,60441],{"className":60401},[2781],[120,60403,146],{"className":60404,"style":2786},[181,2785],[120,60406,5230],{"className":60407},[879],[120,60409,146],{"className":60410},[181],[120,60412,149],{"className":60413},[175,176],[120,60415,152],{"className":60416},[188],[120,60418],{"className":60419,"style":1352},[398],[120,60421,669],{"className":60422},[1356],[120,60424],{"className":60425,"style":1352},[398],[120,60427,13288],{"className":60428,"style":13717},[175,176],[120,60430,9521],{"className":60431},[175,176],[120,60433,146],{"className":60434},[181],[120,60436,5580],{"className":60437,"style":5677},[175,176],[120,60439,152],{"className":60440},[188],[120,60442,152],{"className":60443,"style":2786},[188,2785],[120,60445,60447],{"className":60446},[722],[120,60448,60450],{"className":60449},[726],[120,60451,60453],{"className":60452},[731],[120,60454,60456],{"className":60455,"style":33755},[735],[120,60457,60458,60461],{"style":20076},[120,60459],{"className":60460,"style":744},[743],[120,60462,60464],{"className":60463},[748,749,750,751],[120,60465,60467],{"className":60466},[175,751],[120,60468,9849],{"className":60469},[175,751],[120,60471],{"className":60472,"style":993},[398],[120,60474,45959],{"className":60475},[175,176],[120,60477,24176],{"className":60478,"style":24205},[175,176],[120,60480,146],{"className":60481},[181],[120,60483,5525],{"className":60484,"style":5542},[175,176],[120,60486,152],{"className":60487},[188],[120,60489],{"className":60490,"style":1352},[398],[120,60492,2646],{"className":60493},[1356],[120,60495],{"className":60496,"style":1352},[398],[120,60498,60500,60503,60615,60618,60621,60624,60627,60630,60633,60636,60639],{"className":60499},[166],[120,60501],{"className":60502,"style":55716},[170],[120,60504,60506,60589],{"className":60505},[2781],[120,60507,60509,60515,60583],{"className":60508},[2781],[120,60510,60512],{"className":60511,"style":2786},[181,2785],[120,60513,146],{"className":60514},[2790,3472],[120,60516,60518,60521,60580],{"className":60517},[175],[120,60519],{"className":60520},[181,1113],[120,60522,60524],{"className":60523},[1043],[120,60525,60527,60572],{"className":60526},[726,727],[120,60528,60530,60569],{"className":60529},[731],[120,60531,60533,60547,60555],{"className":60532,"style":5715},[735],[120,60534,60535,60538],{"style":1129},[120,60536],{"className":60537,"style":1133},[743],[120,60539,60541],{"className":60540},[748,749,750,751],[120,60542,60544],{"className":60543},[175,751],[120,60545,5580],{"className":60546,"style":5677},[175,176,751],[120,60548,60549,60552],{"style":1148},[120,60550],{"className":60551,"style":1133},[743],[120,60553],{"className":60554,"style":1156},[1155],[120,60556,60557,60560],{"style":5740},[120,60558],{"className":60559,"style":1133},[743],[120,60561,60563],{"className":60562},[748,749,750,751],[120,60564,60566],{"className":60565},[175,751],[120,60567,5525],{"className":60568,"style":5542},[175,176,751],[120,60570,762],{"className":60571},[761],[120,60573,60575],{"className":60574},[731],[120,60576,60578],{"className":60577,"style":5762},[735],[120,60579],{},[120,60581],{"className":60582},[188,1113],[120,60584,60586],{"className":60585,"style":2786},[188,2785],[120,60587,152],{"className":60588},[2790,3472],[120,60590,60592],{"className":60591},[722],[120,60593,60595],{"className":60594},[726],[120,60596,60598],{"className":60597},[731],[120,60599,60601],{"className":60600,"style":55822},[735],[120,60602,60603,60606],{"style":5873},[120,60604],{"className":60605,"style":744},[743],[120,60607,60609],{"className":60608},[748,749,750,751],[120,60610,60612],{"className":60611},[175,751],[120,60613,9849],{"className":60614},[175,751],[120,60616],{"className":60617,"style":993},[398],[120,60619,45959],{"className":60620},[175,176],[120,60622,24176],{"className":60623,"style":24205},[175,176],[120,60625,146],{"className":60626},[181],[120,60628,5580],{"className":60629,"style":5677},[175,176],[120,60631,152],{"className":60632},[188],[120,60634],{"className":60635,"style":1352},[398],[120,60637,669],{"className":60638},[1356],[120,60640],{"className":60641,"style":1352},[398],[120,60643,60645,60649,60720,60723,60768,60771,60774,60777,60780,60783,60786,60789,60792,60795],{"className":60644},[166],[120,60646],{"className":60647,"style":60648},[170],"height:1.4133em;vertical-align:-0.4811em;",[120,60650,60652,60655,60717],{"className":60651},[175],[120,60653],{"className":60654},[181,1113],[120,60656,60658],{"className":60657},[1043],[120,60659,60661,60709],{"className":60660},[726,727],[120,60662,60664,60706],{"className":60663},[731],[120,60665,60667,60681,60689],{"className":60666,"style":5715},[735],[120,60668,60669,60672],{"style":1129},[120,60670],{"className":60671,"style":1133},[743],[120,60673,60675],{"className":60674},[748,749,750,751],[120,60676,60678],{"className":60677},[175,751],[120,60679,5580],{"className":60680,"style":5677},[175,176,751],[120,60682,60683,60686],{"style":1148},[120,60684],{"className":60685,"style":1133},[743],[120,60687],{"className":60688,"style":1156},[1155],[120,60690,60691,60694],{"style":5740},[120,60692],{"className":60693,"style":1133},[743],[120,60695,60697],{"className":60696},[748,749,750,751],[120,60698,60700,60703],{"className":60699},[175,751],[120,60701,9849],{"className":60702},[175,751],[120,60704,5525],{"className":60705,"style":5542},[175,176,751],[120,60707,762],{"className":60708},[761],[120,60710,60712],{"className":60711},[731],[120,60713,60715],{"className":60714,"style":5762},[735],[120,60716],{},[120,60718],{"className":60719},[188,1113],[120,60721],{"className":60722,"style":993},[398],[120,60724,60726,60729,60732,60735,60738,60741,60744,60747,60750,60753,60756,60759,60762,60765],{"className":60725},[2781],[120,60727,146],{"className":60728,"style":2786},[181,2785],[120,60730,5230],{"className":60731},[879],[120,60733,146],{"className":60734},[181],[120,60736,149],{"className":60737},[175,176],[120,60739,152],{"className":60740},[188],[120,60742],{"className":60743,"style":1352},[398],[120,60745,669],{"className":60746},[1356],[120,60748],{"className":60749,"style":1352},[398],[120,60751,13288],{"className":60752,"style":13717},[175,176],[120,60754,9521],{"className":60755},[175,176],[120,60757,146],{"className":60758},[181],[120,60760,5580],{"className":60761,"style":5677},[175,176],[120,60763,152],{"className":60764},[188],[120,60766,152],{"className":60767,"style":2786},[188,2785],[120,60769],{"className":60770,"style":993},[398],[120,60772,22539],{"className":60773,"style":22593},[175,176],[120,60775,24173],{"className":60776},[175,176],[120,60778,33152],{"className":60779,"style":5677},[175,176],[120,60781,146],{"className":60782},[181],[120,60784,5525],{"className":60785,"style":5542},[175,176],[120,60787,5577],{"className":60788},[5661],[120,60790],{"className":60791,"style":993},[398],[120,60793,5580],{"className":60794,"style":5677},[175,176],[120,60796,152],{"className":60797},[188],[21,60799,60800,60801,40762,60918,40762,61035,40762,61085,6088,61180,6200],{},"代入 ",[120,60802,60804,60836],{"className":60803},[123],[120,60805,60807],{"className":60806},[127],[129,60808,60809],{"xmlns":131},[133,60810,60811,60833],{},[136,60812,60813,60815,60817,60819,60821,60827,60829,60831],{},[139,60814,45464],{},[139,60816,29285],{},[139,60818,24176],{},[143,60820,146],{"stretchy":145},[3081,60822,60823,60825],{"accent":162},[139,60824,5525],{},[143,60826,42228],{"stretchy":162},[143,60828,152],{"stretchy":145},[143,60830,358],{},[360,60832,50658],{},[154,60834,60835],{"encoding":156},"Var(\\widehat{\\beta})=1.215",[120,60837,60839,60909],{"className":60838,"ariaHidden":162},[161],[120,60840,60842,60845,60848,60851,60854,60897,60900,60903,60906],{"className":60841},[166],[120,60843],{"className":60844,"style":47241},[170],[120,60846,45959],{"className":60847},[175,176],[120,60849,24176],{"className":60850,"style":24205},[175,176],[120,60852,146],{"className":60853},[181],[120,60855,60857],{"className":60856},[175,3378],[120,60858,60860,60889],{"className":60859},[726,727],[120,60861,60863,60886],{"className":60862},[731],[120,60864,60866,60874],{"className":60865,"style":42254},[735],[120,60867,60868,60871],{"style":3116},[120,60869],{"className":60870,"style":1133},[743],[120,60872,5525],{"className":60873,"style":5542},[175,176],[120,60875,60877,60880],{"className":60876,"style":42266},[10529],[120,60878],{"className":60879,"style":1133},[743],[120,60881,60882],{"style":42272},[10555,60883,60884],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,60885],{"d":42281},[120,60887,762],{"className":60888},[761],[120,60890,60892],{"className":60891},[731],[120,60893,60895],{"className":60894,"style":30158},[735],[120,60896],{},[120,60898,152],{"className":60899},[188],[120,60901],{"className":60902,"style":399},[398],[120,60904,358],{"className":60905},[403],[120,60907],{"className":60908,"style":399},[398],[120,60910,60912,60915],{"className":60911},[166],[120,60913],{"className":60914,"style":447},[170],[120,60916,50658],{"className":60917},[175],[120,60919,60921,60953],{"className":60920},[123],[120,60922,60924],{"className":60923},[127],[129,60925,60926],{"xmlns":131},[133,60927,60928,60950],{},[136,60929,60930,60932,60934,60936,60938,60944,60946,60948],{},[139,60931,45464],{},[139,60933,29285],{},[139,60935,24176],{},[143,60937,146],{"stretchy":145},[3081,60939,60940,60942],{"accent":162},[139,60941,5580],{},[143,60943,42228],{"stretchy":162},[143,60945,152],{"stretchy":145},[143,60947,358],{},[360,60949,50688],{},[154,60951,60952],{"encoding":156},"Var(\\widehat{\\eta})=76.42",[120,60954,60956,61026],{"className":60955,"ariaHidden":162},[161],[120,60957,60959,60962,60965,60968,60971,61014,61017,61020,61023],{"className":60958},[166],[120,60960],{"className":60961,"style":171},[170],[120,60963,45959],{"className":60964},[175,176],[120,60966,24176],{"className":60967,"style":24205},[175,176],[120,60969,146],{"className":60970},[181],[120,60972,60974],{"className":60973},[175,3378],[120,60975,60977,61006],{"className":60976},[726,727],[120,60978,60980,61003],{"className":60979},[731],[120,60981,60983,60991],{"className":60982,"style":42336},[735],[120,60984,60985,60988],{"style":3116},[120,60986],{"className":60987,"style":1133},[743],[120,60989,5580],{"className":60990,"style":5677},[175,176],[120,60992,60994,60997],{"className":60993,"style":42348},[10529],[120,60995],{"className":60996,"style":1133},[743],[120,60998,60999],{"style":42272},[10555,61000,61001],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,61002],{"d":42281},[120,61004,762],{"className":61005},[761],[120,61007,61009],{"className":61008},[731],[120,61010,61012],{"className":61011,"style":30158},[735],[120,61013],{},[120,61015,152],{"className":61016},[188],[120,61018],{"className":61019,"style":399},[398],[120,61021,358],{"className":61022},[403],[120,61024],{"className":61025,"style":399},[398],[120,61027,61029,61032],{"className":61028},[166],[120,61030],{"className":61031,"style":447},[170],[120,61033,50688],{"className":61034},[175],[120,61036,61038,61055],{"className":61037},[123],[120,61039,61041],{"className":61040},[127],[129,61042,61043],{"xmlns":131},[133,61044,61045,61053],{},[136,61046,61047,61049,61051],{},[139,61048,149],{},[143,61050,358],{},[360,61052,38771],{},[154,61054,58612],{"encoding":156},[120,61056,61058,61076],{"className":61057,"ariaHidden":162},[161],[120,61059,61061,61064,61067,61070,61073],{"className":61060},[166],[120,61062],{"className":61063,"style":231},[170],[120,61065,149],{"className":61066},[175,176],[120,61068],{"className":61069,"style":399},[398],[120,61071,358],{"className":61072},[403],[120,61074],{"className":61075,"style":399},[398],[120,61077,61079,61082],{"className":61078},[166],[120,61080],{"className":61081,"style":447},[170],[120,61083,38771],{"className":61084},[175],[120,61086,61088,61110],{"className":61087},[123],[120,61089,61091],{"className":61090},[127],[129,61092,61093],{"xmlns":131},[133,61094,61095,61107],{},[136,61096,61097,61103,61105],{},[3081,61098,61099,61101],{"accent":162},[139,61100,5525],{},[143,61102,42228],{"stretchy":162},[143,61104,358],{},[360,61106,50272],{},[154,61108,61109],{"encoding":156},"\\widehat{\\beta}=2.55",[120,61111,61113,61171],{"className":61112,"ariaHidden":162},[161],[120,61114,61116,61119,61162,61165,61168],{"className":61115},[166],[120,61117],{"className":61118,"style":42241},[170],[120,61120,61122],{"className":61121},[175,3378],[120,61123,61125,61154],{"className":61124},[726,727],[120,61126,61128,61151],{"className":61127},[731],[120,61129,61131,61139],{"className":61130,"style":42254},[735],[120,61132,61133,61136],{"style":3116},[120,61134],{"className":61135,"style":1133},[743],[120,61137,5525],{"className":61138,"style":5542},[175,176],[120,61140,61142,61145],{"className":61141,"style":42266},[10529],[120,61143],{"className":61144,"style":1133},[743],[120,61146,61147],{"style":42272},[10555,61148,61149],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,61150],{"d":42281},[120,61152,762],{"className":61153},[761],[120,61155,61157],{"className":61156},[731],[120,61158,61160],{"className":61159,"style":30158},[735],[120,61161],{},[120,61163],{"className":61164,"style":399},[398],[120,61166,358],{"className":61167},[403],[120,61169],{"className":61170,"style":399},[398],[120,61172,61174,61177],{"className":61173},[166],[120,61175],{"className":61176,"style":447},[170],[120,61178,50272],{"className":61179},[175],[120,61181,61183,61205],{"className":61182},[123],[120,61184,61186],{"className":61185},[127],[129,61187,61188],{"xmlns":131},[133,61189,61190,61202],{},[136,61191,61192,61198,61200],{},[3081,61193,61194,61196],{"accent":162},[139,61195,5580],{},[143,61197,42228],{"stretchy":162},[143,61199,358],{},[360,61201,50324],{},[154,61203,61204],{"encoding":156},"\\widehat{\\eta}=39.9",[120,61206,61208,61266],{"className":61207,"ariaHidden":162},[161],[120,61209,61211,61214,61257,61260,61263],{"className":61210},[166],[120,61212],{"className":61213,"style":42323},[170],[120,61215,61217],{"className":61216},[175,3378],[120,61218,61220,61249],{"className":61219},[726,727],[120,61221,61223,61246],{"className":61222},[731],[120,61224,61226,61234],{"className":61225,"style":42336},[735],[120,61227,61228,61231],{"style":3116},[120,61229],{"className":61230,"style":1133},[743],[120,61232,5580],{"className":61233,"style":5677},[175,176],[120,61235,61237,61240],{"className":61236,"style":42348},[10529],[120,61238],{"className":61239,"style":1133},[743],[120,61241,61242],{"style":42272},[10555,61243,61244],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,61245],{"d":42281},[120,61247,762],{"className":61248},[761],[120,61250,61252],{"className":61251},[731],[120,61253,61255],{"className":61254,"style":30158},[735],[120,61256],{},[120,61258],{"className":61259,"style":399},[398],[120,61261,358],{"className":61262},[403],[120,61264],{"className":61265,"style":399},[398],[120,61267,61269,61272],{"className":61268},[166],[120,61270],{"className":61271,"style":447},[170],[120,61273,50324],{"className":61274},[175],[21,61276,61277],{},[120,61278,61280,61313],{"className":61279},[123],[120,61281,61283],{"className":61282},[127],[129,61284,61285],{"xmlns":131},[133,61286,61287,61310],{},[136,61288,61289,61291,61293,61295,61297,61303,61305,61307],{},[139,61290,45464],{},[139,61292,29285],{},[139,61294,24176],{},[143,61296,146],{"stretchy":145},[3081,61298,61299,61301],{"accent":162},[139,61300,53744],{},[143,61302,42228],{"stretchy":162},[143,61304,152],{"stretchy":145},[143,61306,358],{},[360,61308,61309],{},"0.8513",[154,61311,61312],{"encoding":156},"Var(\\widehat{u})=0.8513",[120,61314,61316,61375],{"className":61315,"ariaHidden":162},[161],[120,61317,61319,61322,61325,61328,61331,61363,61366,61369,61372],{"className":61318},[166],[120,61320],{"className":61321,"style":171},[170],[120,61323,45959],{"className":61324},[175,176],[120,61326,24176],{"className":61327,"style":24205},[175,176],[120,61329,146],{"className":61330},[181],[120,61332,61334],{"className":61333},[175,3378],[120,61335,61337],{"className":61336},[726],[120,61338,61340],{"className":61339},[731],[120,61341,61343,61351],{"className":61342,"style":42336},[735],[120,61344,61345,61348],{"style":3116},[120,61346],{"className":61347,"style":1133},[743],[120,61349,53744],{"className":61350},[175,176],[120,61352,61354,61357],{"className":61353,"style":53957},[10529],[120,61355],{"className":61356,"style":1133},[743],[120,61358,61359],{"style":42272},[10555,61360,61361],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,61362],{"d":42281},[120,61364,152],{"className":61365},[188],[120,61367],{"className":61368,"style":399},[398],[120,61370,358],{"className":61371},[403],[120,61373],{"className":61374,"style":399},[398],[120,61376,61378,61381],{"className":61377},[166],[120,61379],{"className":61380,"style":447},[170],[120,61382,61309],{"className":61383},[175],[21,61385,61386],{},[120,61387,61389,61414],{"className":61388},[123],[120,61390,61392],{"className":61391},[127],[129,61393,61394],{"xmlns":131},[133,61395,61396,61411],{},[136,61397,61398,61404,61406,61408],{},[3081,61399,61400,61402],{"accent":162},[139,61401,53744],{},[143,61403,42228],{"stretchy":162},[143,61405,358],{},[143,61407,669],{},[360,61409,61410],{},"1.762",[154,61412,61413],{"encoding":156},"\\widehat{u}=-1.762",[120,61415,61417,61464],{"className":61416,"ariaHidden":162},[161],[120,61418,61420,61423,61455,61458,61461],{"className":61419},[166],[120,61421],{"className":61422,"style":42336},[170],[120,61424,61426],{"className":61425},[175,3378],[120,61427,61429],{"className":61428},[726],[120,61430,61432],{"className":61431},[731],[120,61433,61435,61443],{"className":61434,"style":42336},[735],[120,61436,61437,61440],{"style":3116},[120,61438],{"className":61439,"style":1133},[743],[120,61441,53744],{"className":61442},[175,176],[120,61444,61446,61449],{"className":61445,"style":53957},[10529],[120,61447],{"className":61448,"style":1133},[743],[120,61450,61451],{"style":42272},[10555,61452,61453],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,61454],{"d":42281},[120,61456],{"className":61457,"style":399},[398],[120,61459,358],{"className":61460},[403],[120,61462],{"className":61463,"style":399},[398],[120,61465,61467,61470,61473],{"className":61466},[166],[120,61468],{"className":61469,"style":1345},[170],[120,61471,669],{"className":61472},[175],[120,61474,61410],{"className":61475},[175],[21,61477,57574],{},[21,61479,61480],{},[120,61481,61483,61525],{"className":61482},[123],[120,61484,61486],{"className":61485},[127],[129,61487,61488],{"xmlns":131},[133,61489,61490,61522],{},[136,61491,61492,61498,61500,61502,61505,61507,61509,61515,61517,61519],{},[629,61493,61494,61496],{},[139,61495,53744],{},[139,61497,35535],{},[143,61499,358],{},[143,61501,669],{},[360,61503,61504],{},"0.2447",[143,61506,5577],{"separator":162},[398,61508],{"width":57841},[629,61510,61511,61513],{},[139,61512,53744],{},[139,61514,26229],{},[143,61516,358],{},[143,61518,669],{},[360,61520,61521],{},"3.280",[154,61523,61524],{"encoding":156},"u_U=-0.2447,\\qquad u_L=-3.280",[120,61526,61528,61583,61653],{"className":61527,"ariaHidden":162},[161],[120,61529,61531,61534,61574,61577,61580],{"className":61530},[166],[120,61532],{"className":61533,"style":29520},[170],[120,61535,61537,61540],{"className":61536},[175],[120,61538,53744],{"className":61539},[175,176],[120,61541,61543],{"className":61542},[722],[120,61544,61546,61566],{"className":61545},[726,727],[120,61547,61549,61563],{"className":61548},[731],[120,61550,61552],{"className":61551,"style":33392},[735],[120,61553,61554,61557],{"style":739},[120,61555],{"className":61556,"style":744},[743],[120,61558,61560],{"className":61559},[748,749,750,751],[120,61561,35535],{"className":61562,"style":1859},[175,176,751],[120,61564,762],{"className":61565},[761],[120,61567,61569],{"className":61568},[731],[120,61570,61572],{"className":61571,"style":769},[735],[120,61573],{},[120,61575],{"className":61576,"style":399},[398],[120,61578,358],{"className":61579},[403],[120,61581],{"className":61582,"style":399},[398],[120,61584,61586,61589,61592,61595,61598,61601,61604,61644,61647,61650],{"className":61585},[166],[120,61587],{"className":61588,"style":57920},[170],[120,61590,669],{"className":61591},[175],[120,61593,61504],{"className":61594},[175],[120,61596,5577],{"className":61597},[5661],[120,61599],{"className":61600,"style":57930},[398],[120,61602],{"className":61603,"style":993},[398],[120,61605,61607,61610],{"className":61606},[175],[120,61608,53744],{"className":61609},[175,176],[120,61611,61613],{"className":61612},[722],[120,61614,61616,61636],{"className":61615},[726,727],[120,61617,61619,61633],{"className":61618},[731],[120,61620,61622],{"className":61621,"style":33392},[735],[120,61623,61624,61627],{"style":739},[120,61625],{"className":61626,"style":744},[743],[120,61628,61630],{"className":61629},[748,749,750,751],[120,61631,26229],{"className":61632},[175,176,751],[120,61634,762],{"className":61635},[761],[120,61637,61639],{"className":61638},[731],[120,61640,61642],{"className":61641,"style":769},[735],[120,61643],{},[120,61645],{"className":61646,"style":399},[398],[120,61648,358],{"className":61649},[403],[120,61651],{"className":61652,"style":399},[398],[120,61654,61656,61659,61662],{"className":61655},[166],[120,61657],{"className":61658,"style":1345},[170],[120,61660,669],{"className":61661},[175],[120,61663,61521],{"className":61664},[175],[21,61666,61667],{},"再将变换尺度转换回不可靠度，得到：",[21,61669,61670],{},[120,61671,61673,61711],{"className":61672},[123],[120,61674,61676],{"className":61675},[127],[129,61677,61678],{"xmlns":131},[133,61679,61680,61708],{},[136,61681,61682,61688,61690,61693,61695,61697,61703,61705],{},[629,61683,61684,61686],{},[139,61685,19868],{},[139,61687,35535],{},[143,61689,358],{},[360,61691,61692],{},"0.543",[143,61694,5577],{"separator":162},[398,61696],{"width":57841},[629,61698,61699,61701],{},[139,61700,19868],{},[139,61702,26229],{},[143,61704,358],{},[360,61706,61707],{},"0.0369",[154,61709,61710],{"encoding":156},"q_U=0.543,\\qquad q_L=0.0369",[120,61712,61714,61769,61836],{"className":61713,"ariaHidden":162},[161],[120,61715,61717,61720,61760,61763,61766],{"className":61716},[166],[120,61718],{"className":61719,"style":6115},[170],[120,61721,61723,61726],{"className":61722},[175],[120,61724,19868],{"className":61725,"style":5677},[175,176],[120,61727,61729],{"className":61728},[722],[120,61730,61732,61752],{"className":61731},[726,727],[120,61733,61735,61749],{"className":61734},[731],[120,61736,61738],{"className":61737,"style":33392},[735],[120,61739,61740,61743],{"style":19903},[120,61741],{"className":61742,"style":744},[743],[120,61744,61746],{"className":61745},[748,749,750,751],[120,61747,35535],{"className":61748,"style":1859},[175,176,751],[120,61750,762],{"className":61751},[761],[120,61753,61755],{"className":61754},[731],[120,61756,61758],{"className":61757,"style":769},[735],[120,61759],{},[120,61761],{"className":61762,"style":399},[398],[120,61764,358],{"className":61765},[403],[120,61767],{"className":61768,"style":399},[398],[120,61770,61772,61775,61778,61781,61784,61787,61827,61830,61833],{"className":61771},[166],[120,61773],{"className":61774,"style":57920},[170],[120,61776,61692],{"className":61777},[175],[120,61779,5577],{"className":61780},[5661],[120,61782],{"className":61783,"style":57930},[398],[120,61785],{"className":61786,"style":993},[398],[120,61788,61790,61793],{"className":61789},[175],[120,61791,19868],{"className":61792,"style":5677},[175,176],[120,61794,61796],{"className":61795},[722],[120,61797,61799,61819],{"className":61798},[726,727],[120,61800,61802,61816],{"className":61801},[731],[120,61803,61805],{"className":61804,"style":33392},[735],[120,61806,61807,61810],{"style":19903},[120,61808],{"className":61809,"style":744},[743],[120,61811,61813],{"className":61812},[748,749,750,751],[120,61814,26229],{"className":61815},[175,176,751],[120,61817,762],{"className":61818},[761],[120,61820,61822],{"className":61821},[731],[120,61823,61825],{"className":61824,"style":769},[735],[120,61826],{},[120,61828],{"className":61829,"style":399},[398],[120,61831,358],{"className":61832},[403],[120,61834],{"className":61835,"style":399},[398],[120,61837,61839,61842],{"className":61838},[166],[120,61840],{"className":61841,"style":447},[170],[120,61843,61707],{"className":61844},[175],[62,61846],{"src":61847,"alt":61848,"width":66},"/media/image51.png","时间 t 等于 20 时不可靠度的 90% Fisher 矩阵双侧置信限",[21,61850,61851,61852,61880],{},"对不同时间 ",[120,61853,61855,61868],{"className":61854},[123],[120,61856,61858],{"className":61857},[127],[129,61859,61860],{"xmlns":131},[133,61861,61862,61866],{},[136,61863,61864],{},[139,61865,149],{},[154,61867,149],{"encoding":156},[120,61869,61871],{"className":61870,"ariaHidden":162},[161],[120,61872,61874,61877],{"className":61873},[166],[120,61875],{"className":61876,"style":231},[170],[120,61878,149],{"className":61879},[175,176]," 重复计算，可以把置信限叠加在概率图上。",[62,61882],{"src":61883,"alt":61884,"width":77},"/media/image52a.png","不同时间下不可靠度 Q 的 90% 置信限",[62,61886],{"src":61887,"alt":61888,"width":66},"/media/image52.png","叠加在概率图上的不可靠度置信限",[31,61890,61891],{"id":61891},"似然比置信限",[3590,61893,61894],{"id":61894},"似然比原理",[21,61896,61897,61898,61926],{},"似然比置信限以似然比检验为基础。以下以估计数据所拟合的威布尔分布形状参数 ",[120,61899,61901,61914],{"className":61900},[123],[120,61902,61904],{"className":61903},[127],[129,61905,61906],{"xmlns":131},[133,61907,61908,61912],{},[136,61909,61910],{},[139,61911,5525],{},[154,61913,5528],{"encoding":156},[120,61915,61917],{"className":61916,"ariaHidden":162},[161],[120,61918,61920,61923],{"className":61919},[166],[120,61921],{"className":61922,"style":5538},[170],[120,61924,5525],{"className":61925,"style":5542},[175,176]," 的置信限为例。",[21,61928,61929],{},"似然比统计量为：",[21,61931,61932],{},[120,61933,61935,62093],{"className":61934},[123],[120,61936,61938],{"className":61937},[127],[129,61939,61940],{"xmlns":131},[133,61941,61942,62090],{},[136,61943,61944],{},[38750,61945,61946,61948,61950,61952,61954,61956,61958,61960,61962,61964,62016,62018,62020,62022],{"mathsize":38752},[139,61947,36607],{"mathvariant":672},[143,61949,146],{"stretchy":145},[139,61951,5525],{},[143,61953,152],{"stretchy":145},[143,61955,358],{},[143,61957,669],{},[360,61959,9849],{},[139,61961,5230],{},[143,61963,5233],{},[136,61965,61966,61968,62014],{},[143,61967,146],{"fence":162},[1043,61969,61970,61990],{},[136,61971,61972,61974],{},[139,61973,26229],{},[136,61975,61976,61978,61980,61982,61988],{},[143,61977,146],{"fence":162},[139,61979,5525],{},[143,61981,5577],{"separator":162},[3081,61983,61984,61986],{"accent":162},[139,61985,5580],{},[143,61987,42228],{"stretchy":162},[143,61989,152],{"fence":162},[136,61991,61992,61994],{},[139,61993,26229],{},[136,61995,61996,61998,62004,62006,62012],{},[143,61997,146],{"fence":162},[3081,61999,62000,62002],{"accent":162},[139,62001,5525],{},[143,62003,42228],{"stretchy":162},[143,62005,5577],{"separator":162},[3081,62007,62008,62010],{"accent":162},[139,62009,5580],{},[143,62011,42228],{"stretchy":162},[143,62013,152],{"fence":162},[143,62015,152],{"fence":162},[143,62017,358],{},[143,62019,669],{},[360,62021,9849],{},[136,62023,62024,62026,62028,62030,62054,62056,62058,62060,62088],{},[143,62025,3855],{"fence":162},[139,62027,5230],{},[143,62029,5233],{},[136,62031,62032,62034,62036,62052],{},[143,62033,146],{"fence":162},[139,62035,26229],{},[136,62037,62038,62040,62042,62044,62050],{},[143,62039,146],{"fence":162},[139,62041,5525],{},[143,62043,5577],{"separator":162},[3081,62045,62046,62048],{"accent":162},[139,62047,5580],{},[143,62049,42228],{"stretchy":162},[143,62051,152],{"fence":162},[143,62053,152],{"fence":162},[143,62055,669],{},[139,62057,13288],{},[139,62059,9521],{},[136,62061,62062,62064,62066,62086],{},[143,62063,146],{"fence":162},[139,62065,26229],{},[136,62067,62068,62070,62076,62078,62084],{},[143,62069,146],{"fence":162},[3081,62071,62072,62074],{"accent":162},[139,62073,5525],{},[143,62075,42228],{"stretchy":162},[143,62077,5577],{"separator":162},[3081,62079,62080,62082],{"accent":162},[139,62081,5580],{},[143,62083,42228],{"stretchy":162},[143,62085,152],{"fence":162},[143,62087,152],{"fence":162},[143,62089,3874],{"fence":162},[154,62091,62092],{"encoding":156},"\\small\\Lambda(\\beta) = - 2\\ln\\left( \\frac{L\\left( \\beta,\\widehat{\\eta} \\right)}{L\\left( \\widehat{\\beta},\\widehat{\\eta} \\right)} \\right) = - 2\\left\\lbrack \\ln\\left( L\\left( \\beta,\\widehat{\\eta} \\right) \\right) - ln\\left( L\\left( \\widehat{\\beta},\\widehat{\\eta} \\right) \\right) \\right\\rbrack",[120,62094,62096,62124,62415],{"className":62095,"ariaHidden":162},[161],[120,62097,62099,62103,62106,62109,62112,62115,62118,62121],{"className":62098},[166],[120,62100],{"className":62101,"style":62102},[170],"height:0.9em;vertical-align:-0.225em;",[120,62104,36607],{"className":62105},[175,748,749,38907],[120,62107,146],{"className":62108},[181,748,749,38907],[120,62110,5525],{"className":62111,"style":5542},[175,176,748,749,38907],[120,62113,152],{"className":62114},[188,748,749,38907],[120,62116],{"className":62117,"style":399},[398],[120,62119,358],{"className":62120},[403,748,749,38907],[120,62122],{"className":62123,"style":399},[398],[120,62125,62127,62130,62133,62136,62139,62142,62145,62406,62409,62412],{"className":62126},[166],[120,62128],{"className":62129,"style":40210},[170],[120,62131,669],{"className":62132},[175,748,749,38907],[120,62134,9849],{"className":62135},[175,748,749,38907],[120,62137],{"className":62138,"style":993},[398],[120,62140,5230],{"className":62141},[879,748,749,38907],[120,62143],{"className":62144,"style":993},[398],[120,62146,62148,62154,62400],{"className":62147},[2781,748,749,38907],[120,62149,62151],{"className":62150,"style":38940},[181,748,38939,5941,2785],[120,62152,146],{"className":62153},[2790,750],[120,62155,62157,62160,62397],{"className":62156},[175],[120,62158],{"className":62159},[181,1113,748,38939,5941],[120,62161,62163],{"className":62162},[1043],[120,62164,62166,62388],{"className":62165},[726,727],[120,62167,62169,62385],{"className":62168},[731],[120,62170,62173,62296,62304],{"className":62171,"style":62172},[735],"height:1.0878em;",[120,62174,62176,62179],{"style":62175},"top:-2.4233em;",[120,62177],{"className":62178,"style":1133},[743],[120,62180,62182],{"className":62181},[748,38939,3472,751],[120,62183,62185,62188],{"className":62184},[175,751],[120,62186,26229],{"className":62187},[175,176,751],[120,62189,62191,62197,62241,62244,62290],{"className":62190},[2781,751],[120,62192,62194],{"className":62193,"style":40273},[181,748,40272,5941,751,2785],[120,62195,146],{"className":62196},[751],[120,62198,62200],{"className":62199},[175,3378,751],[120,62201,62203,62233],{"className":62202},[726,727],[120,62204,62206,62230],{"className":62205},[731],[120,62207,62209,62217],{"className":62208,"style":42254},[735],[120,62210,62211,62214],{"style":10070},[120,62212],{"className":62213,"style":10074},[743],[120,62215,5525],{"className":62216,"style":5542},[175,176,751],[120,62218,62220,62223],{"className":62219,"style":48792},[10529],[120,62221],{"className":62222,"style":10074},[743],[120,62224,62226],{"className":62225,"style":42272},[751],[10555,62227,62228],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,62229],{"d":42281},[120,62231,762],{"className":62232},[761],[120,62234,62236],{"className":62235},[731],[120,62237,62239],{"className":62238,"style":30158},[735],[120,62240],{},[120,62242,5577],{"className":62243},[5661,751],[120,62245,62247],{"className":62246},[175,3378,751],[120,62248,62250,62282],{"className":62249},[726,727],[120,62251,62253,62279],{"className":62252},[731],[120,62254,62256,62265],{"className":62255,"style":42336},[735],[120,62257,62259,62262],{"style":62258},"top:-2.6em;",[120,62260],{"className":62261,"style":39662},[743],[120,62263,5580],{"className":62264,"style":5677},[175,176,751],[120,62266,62269,62272],{"className":62267,"style":62268},[10529],"width:calc(100% 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",[120,62787,62789,62802],{"className":62788},[123],[120,62790,62792],{"className":62791},[127],[129,62793,62794],{"xmlns":131},[133,62795,62796,62800],{},[136,62797,62798],{},[139,62799,5580],{},[154,62801,6105],{"encoding":156},[120,62803,62805],{"className":62804,"ariaHidden":162},[161],[120,62806,62808,62811],{"className":62807},[166],[120,62809],{"className":62810,"style":6115},[170],[120,62812,5580],{"className":62813,"style":5677},[175,176]," 固定为 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时的似然函数。",[103,62889,62890,63035],{},[120,62891,62893,62925],{"className":62892},[123],[120,62894,62896],{"className":62895},[127],[129,62897,62898],{"xmlns":131},[133,62899,62900,62922],{},[136,62901,62902,62904,62906,62912,62914,62920],{},[139,62903,26229],{},[143,62905,146],{"stretchy":145},[3081,62907,62908,62910],{"accent":162},[139,62909,5525],{},[143,62911,42228],{"stretchy":162},[143,62913,5577],{"separator":162},[3081,62915,62916,62918],{"accent":162},[139,62917,5580],{},[143,62919,42228],{"stretchy":162},[143,62921,152],{"stretchy":145},[154,62923,62924],{"encoding":156},"L(\\widehat{\\beta},\\widehat{\\eta})",[120,62926,62928],{"className":62927,"ariaHidden":162},[161],[120,62929,62931,62934,62937,62940,62983,62986,62989,63032],{"className":62930},[166],[120,62932],{"className":62933,"style":47241},[170],[120,62935,26229],{"className":62936},[175,176],[120,62938,146],{"className":62939},[181],[120,62941,62943],{"className":62942},[175,3378],[120,62944,62946,62975],{"className":62945},[726,727],[120,62947,62949,62972],{"className":62948},[731],[120,62950,62952,62960],{"className":62951,"style":42254},[735],[120,62953,62954,62957],{"style":3116},[120,62955],{"className":62956,"style":1133},[743],[120,62958,5525],{"className":62959,"style":5542},[175,176],[120,62961,62963,62966],{"className":62962,"style":42266},[10529],[120,62964],{"className":62965,"style":1133},[743],[120,62967,62968],{"style":42272},[10555,62969,62970],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,62971],{"d":42281},[120,62973,762],{"className":62974},[761],[120,62976,62978],{"className":62977},[731],[120,62979,62981],{"className":62980,"style":30158},[735],[120,62982],{},[120,62984,5577],{"className":62985},[5661],[120,62987],{"className":62988,"style":993},[398],[120,62990,62992],{"className":62991},[175,3378],[120,62993,62995,63024],{"className":62994},[726,727],[120,62996,62998,63021],{"className":62997},[731],[120,62999,63001,63009],{"className":63000,"style":42336},[735],[120,63002,63003,63006],{"style":3116},[120,63004],{"className":63005,"style":1133},[743],[120,63007,5580],{"className":63008,"style":5677},[175,176],[120,63010,63012,63015],{"className":63011,"style":42348},[10529],[120,63013],{"className":63014,"style":1133},[743],[120,63016,63017],{"style":42272},[10555,63018,63019],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,63020],{"d":42281},[120,63022,762],{"className":63023},[761],[120,63025,63027],{"className":63026},[731],[120,63028,63030],{"className":63029,"style":30158},[735],[120,63031],{},[120,63033,152],{"className":63034},[188],"：在估计参数处求得的似然值。",[21,63037,42436],{},[21,63039,63040],{},[120,63041,63043,63173],{"className":63042},[123],[120,63044,63046],{"className":63045},[127],[129,63047,63048],{"xmlns":131},[133,63049,63050,63170],{},[136,63051,63052],{},[38750,63053,63054,63056,63058,63060,63062,63064,63066,63068,63082],{"mathsize":38752},[139,63055,26229],{},[143,63057,146],{"stretchy":145},[139,63059,5525],{},[143,63061,5577],{"separator":162},[139,63063,5580],{},[143,63065,152],{"stretchy":145},[143,63067,358],{},[660,63069,63070,63072,63080],{},[143,63071,35663],{},[136,63073,63074,63076,63078],{},[139,63075,19796],{},[143,63077,358],{},[360,63079,1294],{},[139,63081,9521],{},[136,63083,63084,63086,63132,63134,63136,63138,63140,63168],{},[143,63085,3855],{"fence":162},[3621,63087,63088,63126],{},[136,63089,63090,63092,63098,63124],{},[143,63091,146],{"fence":162},[1043,63093,63094,63096],{},[139,63095,5525],{},[139,63097,5580],{},[3621,63099,63100,63116],{},[136,63101,63102,63104,63114],{},[143,63103,146],{"fence":162},[1043,63105,63106,63112],{},[629,63107,63108,63110],{},[139,63109,149],{},[139,63111,19796],{},[139,63113,5580],{},[143,63115,152],{"fence":162},[136,63117,63118,63120,63122],{},[139,63119,5525],{},[143,63121,669],{},[360,63123,1294],{},[143,63125,152],{"fence":162},[629,63127,63128,63130],{},[139,63129,42527],{},[139,63131,19796],{},[143,63133,42532],{},[139,63135,3629],{},[139,63137,9546],{},[139,63139,21],{},[136,63141,63142,63144,63146,63166],{},[143,63143,146],{"fence":162},[143,63145,669],{},[3621,63147,63148,63164],{},[136,63149,63150,63152,63162],{},[143,63151,146],{"fence":162},[1043,63153,63154,63160],{},[629,63155,63156,63158],{},[139,63157,149],{},[139,63159,19796],{},[139,63161,5580],{},[143,63163,152],{"fence":162},[139,63165,5525],{},[143,63167,152],{"fence":162},[143,63169,3874],{"fence":162},[154,63171,63172],{"encoding":156},"\\small L(\\beta,\\eta) = \\prod_{i = 1}^{n}\\left\\lbrack \\left( \\frac{\\beta}{\\eta}\\left( \\frac{t_{i}}{\\eta} \\right)^{\\beta - 1} \\right)^{\\delta_{i}} \\cdot exp\\left( - \\left( \\frac{t_{i}}{\\eta} \\right)^{\\beta} \\right) \\right\\rbrack",[120,63174,63176,63212],{"className":63175,"ariaHidden":162},[161],[120,63177,63179,63182,63185,63188,63191,63194,63197,63200,63203,63206,63209],{"className":63178},[166],[120,63180],{"className":63181,"style":62102},[170],[120,63183,26229],{"className":63184},[175,176,748,749,38907],[120,63186,146],{"className":63187},[181,748,749,38907],[120,63189,5525],{"className":63190,"style":5542},[175,176,748,749,38907],[120,63192,5577],{"className":63193},[5661,748,749,38907],[120,63195],{"className":63196,"style":993},[398],[120,63198,5580],{"className":63199,"style":5677},[175,176,748,749,38907],[120,63201,152],{"className":63202},[188,748,749,38907],[120,63204],{"className":63205,"style":399},[398],[120,63207,358],{"className":63208},[403,748,749,38907],[120,63210],{"className":63211,"style":399},[398],[120,63213,63215,63218,63285,63288],{"className":63214},[166],[120,63216],{"className":63217,"style":40210},[170],[120,63219,63221,63224],{"className":63220},[879,748,749,38907],[120,63222,35663],{"className":63223,"style":20037},[879,883,884],[120,63225,63227],{"className":63226},[722],[120,63228,63230,63276],{"className":63229},[726,727],[120,63231,63233,63273],{"className":63232},[731],[120,63234,63237,63258],{"className":63235,"style":63236},[735],"height:0.7077em;",[120,63238,63240,63243],{"style":63239},"top:-2.2833em;margin-left:0em;margin-right:0.0556em;",[120,63241],{"className":63242,"style":39662},[743],[120,63244,63246],{"className":63245},[748,38939,3472,751],[120,63247,63249,63252,63255],{"className":63248},[175,751],[120,63250,19796],{"className":63251},[175,176,751],[120,63253,358],{"className":63254},[403,751],[120,63256,1294],{"className":63257},[175,751],[120,63259,63261,63264],{"style":63260},"top:-3.0207em;margin-right:0.0556em;",[120,63262],{"className":63263,"style":39662},[743],[120,63265,63267],{"className":63266},[748,38939,3472,751],[120,63268,63270],{"className":63269},[175,751],[120,63271,9521],{"className":63272},[175,176,751],[120,63274,762],{"className":63275},[761],[120,63277,63279],{"className":63278},[731],[120,63280,63283],{"className":63281,"style":63282},[735],"height:0.3167em;",[120,63284],{},[120,63286],{"className":63287,"style":993},[398],[120,63289,63291,63297,63618,63621,63624,63627,63630,63633,63636,63639,63812],{"className":63290},[2781,748,749,38907],[120,63292,63294],{"className":63293,"style":38940},[181,748,38939,5941,2785],[120,63295,3855],{"className":63296},[2790,750],[120,63298,63300,63549],{"className":63299},[2781],[120,63301,63303,63309,63377,63380,63543],{"className":63302},[2781],[120,63304,63306],{"className":63305,"style":38940},[181,748,38939,5941,2785],[120,63307,146],{"className":63308},[2790,3472],[120,63310,63312,63315,63374],{"className":63311},[175],[120,63313],{"className":63314},[181,1113,748,38939,5941],[120,63316,63318],{"className":63317},[1043],[120,63319,63321,63366],{"className":63320},[726,727],[120,63322,63324,63363],{"className":63323},[731],[120,63325,63327,63341,63349],{"className":63326,"style":39443},[735],[120,63328,63329,63332],{"style":1129},[120,63330],{"className":63331,"style":1133},[743],[120,63333,63335],{"className":63334},[748,38939,3472,751],[120,63336,63338],{"className":63337},[175,751],[120,63339,5580],{"className":63340,"style":5677},[175,176,751],[120,63342,63343,63346],{"style":1148},[120,63344],{"className":63345,"style":1133},[743],[120,63347],{"className":63348,"style":1156},[1155],[120,63350,63351,63354],{"style":39468},[120,63352],{"className":63353,"style":1133},[743],[120,63355,63357],{"className":63356},[748,38939,3472,751],[120,63358,63360],{"className":63359},[175,751],[120,63361,5525],{"className":63362,"style":5542},[175,176,751],[120,63364,762],{"className":63365},[761],[120,63367,63369],{"className":63368},[731],[120,63370,63372],{"className":63371,"style":39490},[735],[120,63373],{},[120,63375],{"className":63376},[188,1113,748,38939,5941],[120,63378],{"className":63379,"style":993},[398],[120,63381,63383,63511],{"className":63382},[2781],[120,63384,63386,63392,63505],{"className":63385},[2781],[120,63387,63389],{"className":63388,"style":38940},[181,748,38939,5941,2785],[120,63390,146],{"className":63391},[2790,959],[120,63393,63395,63398,63502],{"className":63394},[175],[120,63396],{"className":63397},[181,1113,748,38939,5941],[120,63399,63401],{"className":63400},[1043],[120,63402,63404,63494],{"className":63403},[726,727],[120,63405,63407,63491],{"className":63406},[731],[120,63408,63411,63425,63433],{"className":63409,"style":63410},[735],"height:0.8566em;",[120,63412,63413,63416],{"style":1129},[120,63414],{"className":63415,"style":1133},[743],[120,63417,63419],{"className":63418},[748,38939,3472,751],[120,63420,63422],{"className":63421},[175,751],[120,63423,5580],{"className":63424,"style":5677},[175,176,751],[120,63426,63427,63430],{"style":1148},[120,63428],{"className":63429,"style":1133},[743],[120,63431],{"className":63432,"style":1156},[1155],[120,63434,63436,63439],{"style":63435},"top:-3.4465em;",[120,63437],{"className":63438,"style":1133},[743],[120,63440,63442],{"className":63441},[748,38939,3472,751],[120,63443,63445],{"className":63444},[175,751],[120,63446,63448,63451],{"className":63447},[175,751],[120,63449,149],{"className":63450},[175,176,751],[120,63452,63454],{"className":63453},[722],[120,63455,63457,63482],{"className":63456},[726,727],[120,63458,63460,63479],{"className":63459},[731],[120,63461,63463],{"className":63462,"style":48214},[735],[120,63464,63466,63470],{"style":63465},"top:-2.3448em;margin-left:0em;margin-right:0.0833em;",[120,63467],{"className":63468,"style":63469},[743],"height:2.5496em;",[120,63471,63473],{"className":63472},[748,40272,959,751],[120,63474,63476],{"className":63475},[175,751],[120,63477,19796],{"className":63478},[175,176,751],[120,63480,762],{"className":63481},[761],[120,63483,63485],{"className":63484},[731],[120,63486,63489],{"className":63487,"style":63488},[735],"height:0.2048em;",[120,63490],{},[120,63492,762],{"className":63493},[761],[120,63495,63497],{"className":63496},[731],[120,63498,63500],{"className":63499,"style":39490},[735],[120,63501],{},[120,63503],{"className":63504},[188,1113,748,38939,5941],[120,63506,63508],{"className":63507,"style":38940},[188,748,38939,5941,2785],[120,63509,152],{"className":63510},[2790,959],[120,63512,63514],{"className":63513},[722],[120,63515,63517],{"className":63516},[726],[120,63518,63520],{"className":63519},[731],[120,63521,63523],{"className":63522,"style":39655},[735],[120,63524,63525,63528],{"style":39658},[120,63526],{"className":63527,"style":39662},[743],[120,63529,63531],{"className":63530},[748,38939,3472,751],[120,63532,63534,63537,63540],{"className":63533},[175,751],[120,63535,5525],{"className":63536,"style":5542},[175,176,751],[120,63538,669],{"className":63539},[1356,751],[120,63541,1294],{"className":63542},[175,751],[120,63544,63546],{"className":63545,"style":38940},[188,748,38939,5941,2785],[120,63547,152],{"className":63548},[2790,3472],[120,63550,63552],{"className":63551},[722],[120,63553,63555],{"className":63554},[726],[120,63556,63558],{"className":63557},[731],[120,63559,63562],{"className":63560,"style":63561},[735],"height:1.3864em;",[120,63563,63565,63568],{"style":63564},"top:-3.5234em;margin-right:0.0556em;",[120,63566],{"className":63567,"style":39662},[743],[120,63569,63571],{"className":63570},[748,38939,3472,751],[120,63572,63574],{"className":63573},[175,751],[120,63575,63577,63580],{"className":63576},[175,751],[120,63578,42527],{"className":63579,"style":42972},[175,176,751],[120,63581,63583],{"className":63582},[722],[120,63584,63586,63610],{"className":63585},[726,727],[120,63587,63589,63607],{"className":63588},[731],[120,63590,63592],{"className":63591,"style":48214},[735],[120,63593,63595,63598],{"style":63594},"top:-2.3448em;margin-left:-0.0379em;margin-right:0.0833em;",[120,63596],{"className":63597,"style":63469},[743],[120,63599,63601],{"className":63600},[748,40272,959,751],[120,63602,63604],{"className":63603},[175,751],[120,63605,19796],{"className":63606},[175,176,751],[120,63608,762],{"className":63609},[761],[120,63611,63613],{"className":63612},[731],[120,63614,63616],{"className":63615,"style":63488},[735],[120,63617],{},[120,63619],{"className":63620,"style":1352},[398],[120,63622,42532],{"className":63623},[1356],[120,63625],{"className":63626,"style":1352},[398],[120,63628,3629],{"className":63629},[175,176],[120,63631,9546],{"className":63632},[175,176],[120,63634,21],{"className":63635},[175,176],[120,63637],{"className":63638,"style":993},[398],[120,63640,63642,63648,63651,63654,63806],{"className":63641},[2781],[120,63643,63645],{"className":63644,"style":38940},[181,748,38939,5941,2785],[120,63646,146],{"className":63647},[2790,3472],[120,63649,669],{"className":63650},[175],[120,63652],{"className":63653,"style":993},[398],[120,63655,63657,63780],{"className":63656},[2781],[120,63658,63660,63666,63774],{"className":63659},[2781],[120,63661,63663],{"className":63662,"style":38940},[181,748,38939,5941,2785],[120,63664,146],{"className":63665},[2790,959],[120,63667,63669,63672,63771],{"className":63668},[175],[120,63670],{"className":63671},[181,1113,748,38939,5941],[120,63673,63675],{"className":63674},[1043],[120,63676,63678,63763],{"className":63677},[726,727],[120,63679,63681,63760],{"className":63680},[731],[120,63682,63684,63698,63706],{"className":63683,"style":63410},[735],[120,63685,63686,63689],{"style":1129},[120,63687],{"className":63688,"style":1133},[743],[120,63690,63692],{"className":63691},[748,38939,3472,751],[120,63693,63695],{"className":63694},[175,751],[120,63696,5580],{"className":63697,"style":5677},[175,176,751],[120,63699,63700,63703],{"style":1148},[120,63701],{"className":63702,"style":1133},[743],[120,63704],{"className":63705,"style":1156},[1155],[120,63707,63708,63711],{"style":63435},[120,63709],{"className":63710,"style":1133},[743],[120,63712,63714],{"className":63713},[748,38939,3472,751],[120,63715,63717],{"className":63716},[175,751],[120,63718,63720,63723],{"className":63719},[175,751],[120,63721,149],{"className":63722},[175,176,751],[120,63724,63726],{"className":63725},[722],[120,63727,63729,63752],{"className":63728},[726,727],[120,63730,63732,63749],{"className":63731},[731],[120,63733,63735],{"className":63734,"style":48214},[735],[120,63736,63737,63740],{"style":63465},[120,63738],{"className":63739,"style":63469},[743],[120,63741,63743],{"className":63742},[748,40272,959,751],[120,63744,63746],{"className":63745},[175,751],[120,63747,19796],{"className":63748},[175,176,751],[120,63750,762],{"className":63751},[761],[120,63753,63755],{"className":63754},[731],[120,63756,63758],{"className":63757,"style":63488},[735],[120,63759],{},[120,63761,762],{"className":63762},[761],[120,63764,63766],{"className":63765},[731],[120,63767,63769],{"className":63768,"style":39490},[735],[120,63770],{},[120,63772],{"className":63773},[188,1113,748,38939,5941],[120,63775,63777],{"className":63776,"style":38940},[188,748,38939,5941,2785],[120,63778,152],{"className":63779},[2790,959],[120,63781,63783],{"className":63782},[722],[120,63784,63786],{"className":63785},[726],[120,63787,63789],{"className":63788},[731],[120,63790,63792],{"className":63791,"style":39655},[735],[120,63793,63794,63797],{"style":39658},[120,63795],{"className":63796,"style":39662},[743],[120,63798,63800],{"className":63799},[748,38939,3472,751],[120,63801,63803],{"className":63802},[175,751],[120,63804,5525],{"className":63805,"style":5542},[175,176,751],[120,63807,63809],{"className":63808,"style":38940},[188,748,38939,5941,2785],[120,63810,152],{"className":63811},[2790,3472],[120,63813,63815],{"className":63814,"style":38940},[188,748,38939,5941,2785],[120,63816,3874],{"className":63817},[2790,750],[21,63819,63820,63821,63865],{},"对于小样本，",[120,63822,63824,63844],{"className":63823},[123],[120,63825,63827],{"className":63826},[127],[129,63828,63829],{"xmlns":131},[133,63830,63831,63841],{},[136,63832,63833,63835,63837,63839],{},[139,63834,36607],{"mathvariant":672},[143,63836,146],{"stretchy":145},[139,63838,5525],{},[143,63840,152],{"stretchy":145},[154,63842,63843],{"encoding":156},"\\Lambda(\\beta)",[120,63845,63847],{"className":63846,"ariaHidden":162},[161],[120,63848,63850,63853,63856,63859,63862],{"className":63849},[166],[120,63851],{"className":63852,"style":171},[170],[120,63854,36607],{"className":63855},[175],[120,63857,146],{"className":63858},[181],[120,63860,5525],{"className":63861,"style":5542},[175,176],[120,63863,152],{"className":63864},[188]," 的准确分布未知；根据 Wilks 定理，当样本量较大时，它收敛于自由度等于被检验参数数目的卡方分布。本例只检验一个参数，因此自由度为 1。",[21,63867,58487,63868,63940],{},[120,63869,63871,63898],{"className":63870},[123],[120,63872,63874],{"className":63873},[127],[129,63875,63876],{"xmlns":131},[133,63877,63878,63895],{},[136,63879,63880,63883,63885,63887,63889,63891,63893],{},[360,63881,63882],{},"100",[143,63884,146],{"stretchy":145},[360,63886,1294],{},[143,63888,669],{},[139,63890,46678],{},[143,63892,152],{"stretchy":145},[139,63894,23400],{"mathvariant":672},[154,63896,63897],{"encoding":156},"100(1-\\alpha)\\%",[120,63899,63901,63925],{"className":63900,"ariaHidden":162},[161],[120,63902,63904,63907,63910,63913,63916,63919,63922],{"className":63903},[166],[120,63905],{"className":63906,"style":171},[170],[120,63908,63882],{"className":63909},[175],[120,63911,146],{"className":63912},[181],[120,63914,1294],{"className":63915},[175],[120,63917],{"className":63918,"style":1352},[398],[120,63920,669],{"className":63921},[1356],[120,63923],{"className":63924,"style":1352},[398],[120,63926,63928,63931,63934,63937],{"className":63927},[166],[120,63929],{"className":63930,"style":171},[170],[120,63932,46678],{"className":63933,"style":46978},[175,176],[120,63935,152],{"className":63936},[188],[120,63938,23400],{"className":63939},[175]," 置信区间和一个自由度下：",[21,63942,63943],{},[120,63944,63946,63987],{"className":63945},[123],[120,63947,63949],{"className":63948},[127],[129,63950,63951],{"xmlns":131},[133,63952,63953,63984],{},[136,63954,63955,63957,63959,63961,63963,63965],{},[139,63956,36607],{"mathvariant":672},[143,63958,146],{"stretchy":145},[139,63960,5525],{},[143,63962,152],{"stretchy":145},[143,63964,648],{},[660,63966,63967,63970,63982],{},[139,63968,63969],{},"χ",[136,63971,63972,63974,63976,63978,63980],{},[360,63973,1294],{},[143,63975,5577],{"separator":162},[360,63977,1294],{},[143,63979,669],{},[139,63981,46678],{},[360,63983,9849],{},[154,63985,63986],{"encoding":156},"\\Lambda(\\beta) \\leq \\chi_{1,1 - \\alpha}^{2}",[120,63988,63990,64017],{"className":63989,"ariaHidden":162},[161],[120,63991,63993,63996,63999,64002,64005,64008,64011,64014],{"className":63992},[166],[120,63994],{"className":63995,"style":171},[170],[120,63997,36607],{"className":63998},[175],[120,64000,146],{"className":64001},[181],[120,64003,5525],{"className":64004,"style":5542},[175,176],[120,64006,152],{"className":64007},[188],[120,64009],{"className":64010,"style":399},[398],[120,64012,648],{"className":64013},[403],[120,64015],{"className":64016,"style":399},[398],[120,64018,64020,64024],{"className":64019},[166],[120,64021],{"className":64022,"style":64023},[170],"height:1.1983em;vertical-align:-0.3842em;",[120,64025,64027,64030],{"className":64026},[175],[120,64028,63969],{"className":64029},[175,176],[120,64031,64033],{"className":64032},[722],[120,64034,64036,64086],{"className":64035},[726,727],[120,64037,64039,64083],{"className":64038},[731],[120,64040,64042,64069],{"className":64041,"style":9720},[735],[120,64043,64045,64048],{"style":64044},"top:-2.4519em;margin-left:0em;margin-right:0.05em;",[120,64046],{"className":64047,"style":744},[743],[120,64049,64051],{"className":64050},[748,749,750,751],[120,64052,64054,64057,64060,64063,64066],{"className":64053},[175,751],[120,64055,1294],{"className":64056},[175,751],[120,64058,5577],{"className":64059},[5661,751],[120,64061,1294],{"className":64062},[175,751],[120,64064,669],{"className":64065},[1356,751],[120,64067,46678],{"className":64068,"style":46978},[175,176,751],[120,64070,64071,64074],{"style":9686},[120,64072],{"className":64073,"style":744},[743],[120,64075,64077],{"className":64076},[748,749,750,751],[120,64078,64080],{"className":64079},[175,751],[120,64081,9849],{"className":64082},[175,751],[120,64084,762],{"className":64085},[761],[120,64087,64089],{"className":64088},[731],[120,64090,64093],{"className":64091,"style":64092},[735],"height:0.3842em;",[120,64094],{},[21,64096,20854,64097,64125,64126,64154],{},[120,64098,64100,64113],{"className":64099},[123],[120,64101,64103],{"className":64102},[127],[129,64104,64105],{"xmlns":131},[133,64106,64107,64111],{},[136,64108,64109],{},[139,64110,5525],{},[154,64112,5528],{"encoding":156},[120,64114,64116],{"className":64115,"ariaHidden":162},[161],[120,64117,64119,64122],{"className":64118},[166],[120,64120],{"className":64121,"style":5538},[170],[120,64123,5525],{"className":64124,"style":5542},[175,176]," 的上下限可通过求解满足以下等式的最大和最小 ",[120,64127,64129,64142],{"className":64128},[123],[120,64130,64132],{"className":64131},[127],[129,64133,64134],{"xmlns":131},[133,64135,64136,64140],{},[136,64137,64138],{},[139,64139,5525],{},[154,64141,5528],{"encoding":156},[120,64143,64145],{"className":64144,"ariaHidden":162},[161],[120,64146,64148,64151],{"className":64147},[166],[120,64149],{"className":64150,"style":5538},[170],[120,64152,5525],{"className":64153,"style":5542},[175,176]," 得到：",[21,64156,64157],{},[120,64158,64160,64264],{"className":64159},[123],[120,64161,64163],{"className":64162},[127],[129,64164,64165],{"xmlns":131},[133,64166,64167,64261],{},[136,64168,64169,64171,64173,64241,64243],{},[143,64170,669],{},[360,64172,9849],{},[136,64174,64175,64177,64179,64181,64205,64207,64209,64211,64239],{},[143,64176,3855],{"fence":162},[139,64178,5230],{},[143,64180,5233],{},[136,64182,64183,64185,64187,64203],{},[143,64184,146],{"fence":162},[139,64186,26229],{},[136,64188,64189,64191,64193,64195,64201],{},[143,64190,146],{"fence":162},[139,64192,5525],{},[143,64194,5577],{"separator":162},[3081,64196,64197,64199],{"accent":162},[139,64198,5580],{},[143,64200,42228],{"stretchy":162},[143,64202,152],{"fence":162},[143,64204,152],{"fence":162},[143,64206,669],{},[139,64208,13288],{},[139,64210,9521],{},[136,64212,64213,64215,64217,64237],{},[143,64214,146],{"fence":162},[139,64216,26229],{},[136,64218,64219,64221,64227,64229,64235],{},[143,64220,146],{"fence":162},[3081,64222,64223,64225],{"accent":162},[139,64224,5525],{},[143,64226,42228],{"stretchy":162},[143,64228,5577],{"separator":162},[3081,64230,64231,64233],{"accent":162},[139,64232,5580],{},[143,64234,42228],{"stretchy":162},[143,64236,152],{"fence":162},[143,64238,152],{"fence":162},[143,64240,3874],{"fence":162},[143,64242,358],{},[660,64244,64245,64247,64259],{},[139,64246,63969],{},[136,64248,64249,64251,64253,64255,64257],{},[360,64250,1294],{},[143,64252,5577],{"separator":162},[360,64254,1294],{},[143,64256,669],{},[139,64258,46678],{},[360,64260,9849],{},[154,64262,64263],{"encoding":156},"- 2\\left\\lbrack \\ln\\left( L\\left( \\beta,\\widehat{\\eta} \\right) \\right) - ln\\left( L\\left( \\widehat{\\beta},\\widehat{\\eta} \\right) \\right) \\right\\rbrack = \\chi_{1,1 - \\alpha}^{2}",[120,64265,64267,64534],{"className":64266,"ariaHidden":162},[161],[120,64268,64270,64273,64276,64279,64282,64525,64528,64531],{"className":64269},[166],[120,64271],{"className":64272,"style":3456},[170],[120,64274,669],{"className":64275},[175],[120,64277,9849],{"className":64278},[175],[120,64280],{"className":64281,"style":993},[398],[120,64283,64285,64291,64294,64297,64373,64376,64379,64382,64385,64388,64391,64519],{"className":64284},[2781],[120,64286,64288],{"className":64287,"style":2786},[181,2785],[120,64289,3855],{"className":64290},[2790,3472],[120,64292,5230],{"className":64293},[879],[120,64295],{"className":64296,"style":993},[398],[120,64298,64300,64303,64306,64309,64370],{"className":64299},[2781],[120,64301,146],{"className":64302,"style":2786},[181,2785],[120,64304,26229],{"className":64305},[175,176],[120,64307],{"className":64308,"style":993},[398],[120,64310,64312,64315,64318,64321,64324,64367],{"className":64311},[2781],[120,64313,146],{"className":64314,"style":2786},[181,2785],[120,64316,5525],{"className":64317,"style":5542},[175,176],[120,64319,5577],{"className":64320},[5661],[120,64322],{"className":64323,"style":993},[398],[120,64325,64327],{"className":64326},[175,3378],[120,64328,64330,64359],{"className":64329},[726,727],[120,64331,64333,64356],{"className":64332},[731],[120,64334,64336,64344],{"className":64335,"style":42336},[735],[120,64337,64338,64341],{"style":3116},[120,64339],{"className":64340,"style":1133},[743],[120,64342,5580],{"className":64343,"style":5677},[175,176],[120,64345,64347,64350],{"className":64346,"style":42348},[10529],[120,64348],{"className":64349,"style":1133},[743],[120,64351,64352],{"style":42272},[10555,64353,64354],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,64355],{"d":42281},[120,64357,762],{"className":64358},[761],[120,64360,64362],{"className":64361},[731],[120,64363,64365],{"className":64364,"style":30158},[735],[120,64366],{},[120,64368,152],{"className":64369,"style":2786},[188,2785],[120,64371,152],{"className":64372,"style":2786},[188,2785],[120,64374],{"className":64375,"style":1352},[398],[120,64377,669],{"className":64378},[1356],[120,64380],{"className":64381,"style":1352},[398],[120,64383,13288],{"className":64384,"style":13717},[175,176],[120,64386,9521],{"className":64387},[175,176],[120,64389],{"className":64390,"style":993},[398],[120,64392,64394,64400,64403,64406,64513],{"className":64393},[2781],[120,64395,64397],{"className":64396,"style":2786},[181,2785],[120,64398,146],{"className":64399},[2790,3472],[120,64401,26229],{"className":64402},[175,176],[120,64404],{"className":64405,"style":993},[398],[120,64407,64409,64415,64458,64461,64464,64507],{"className":64408},[2781],[120,64410,64412],{"className":64411,"style":2786},[181,2785],[120,64413,146],{"className":64414},[2790,3472],[120,64416,64418],{"className":64417},[175,3378],[120,64419,64421,64450],{"className":64420},[726,727],[120,64422,64424,64447],{"className":64423},[731],[120,64425,64427,64435],{"className":64426,"style":42254},[735],[120,64428,64429,64432],{"style":3116},[120,64430],{"className":64431,"style":1133},[743],[120,64433,5525],{"className":64434,"style":5542},[175,176],[120,64436,64438,64441],{"className":64437,"style":42266},[10529],[120,64439],{"className":64440,"style":1133},[743],[120,64442,64443],{"style":42272},[10555,64444,64445],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,64446],{"d":42281},[120,64448,762],{"className":64449},[761],[120,64451,64453],{"className":64452},[731],[120,64454,64456],{"className":64455,"style":30158},[735],[120,64457],{},[120,64459,5577],{"className":64460},[5661],[120,64462],{"className":64463,"style":993},[398],[120,64465,64467],{"className":64466},[175,3378],[120,64468,64470,64499],{"className":64469},[726,727],[120,64471,64473,64496],{"className":64472},[731],[120,64474,64476,64484],{"className":64475,"style":42336},[735],[120,64477,64478,64481],{"style":3116},[120,64479],{"className":64480,"style":1133},[743],[120,64482,5580],{"className":64483,"style":5677},[175,176],[120,64485,64487,64490],{"className":64486,"style":42348},[10529],[120,64488],{"className":64489,"style":1133},[743],[120,64491,64492],{"style":42272},[10555,64493,64494],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,64495],{"d":42281},[120,64497,762],{"className":64498},[761],[120,64500,64502],{"className":64501},[731],[120,64503,64505],{"className":64504,"style":30158},[735],[120,64506],{},[120,64508,64510],{"className":64509,"style":2786},[188,2785],[120,64511,152],{"className":64512},[2790,3472],[120,64514,64516],{"className":64515,"style":2786},[188,2785],[120,64517,152],{"className":64518},[2790,3472],[120,64520,64522],{"className":64521,"style":2786},[188,2785],[120,64523,3874],{"className":64524},[2790,3472],[120,64526],{"className":64527,"style":399},[398],[120,64529,358],{"className":64530},[403],[120,64532],{"className":64533,"style":399},[398],[120,64535,64537,64540],{"className":64536},[166],[120,64538],{"className":64539,"style":64023},[170],[120,64541,64543,64546],{"className":64542},[175],[120,64544,63969],{"className":64545},[175,176],[120,64547,64549],{"className":64548},[722],[120,64550,64552,64601],{"className":64551},[726,727],[120,64553,64555,64598],{"className":64554},[731],[120,64556,64558,64584],{"className":64557,"style":9720},[735],[120,64559,64560,64563],{"style":64044},[120,64561],{"className":64562,"style":744},[743],[120,64564,64566],{"className":64565},[748,749,750,751],[120,64567,64569,64572,64575,64578,64581],{"className":64568},[175,751],[120,64570,1294],{"className":64571},[175,751],[120,64573,5577],{"className":64574},[5661,751],[120,64576,1294],{"className":64577},[175,751],[120,64579,669],{"className":64580},[1356,751],[120,64582,46678],{"className":64583,"style":46978},[175,176,751],[120,64585,64586,64589],{"style":9686},[120,64587],{"className":64588,"style":744},[743],[120,64590,64592],{"className":64591},[748,749,750,751],[120,64593,64595],{"className":64594},[175,751],[120,64596,9849],{"className":64597},[175,751],[120,64599,762],{"className":64600},[761],[120,64602,64604],{"className":64603},[731],[120,64605,64607],{"className":64606,"style":64092},[735],[120,64608],{},[21,64610,64611],{},[37,64612,50244],{},[21,64614,50247,64615,64617,64618,64646],{},[19768,64616,19774],{}," 拟合至二参数威布尔分布，采用似然比法求 ",[120,64619,64621,64634],{"className":64620},[123],[120,64622,64624],{"className":64623},[127],[129,64625,64626],{"xmlns":131},[133,64627,64628,64632],{},[136,64629,64630],{},[139,64631,5525],{},[154,64633,5528],{"encoding":156},[120,64635,64637],{"className":64636,"ariaHidden":162},[161],[120,64638,64640,64643],{"className":64639},[166],[120,64641],{"className":64642,"style":5538},[170],[120,64644,5525],{"className":64645,"style":5542},[175,176]," 的 90% 置信限。",[21,64648,64649,64650,48153,64702,189],{},"MLE 解为：",[120,64651,64653,64672],{"className":64652},[123],[120,64654,64656],{"className":64655},[127],[129,64657,64658],{"xmlns":131},[133,64659,64660,64669],{},[136,64661,64662,64664,64666],{},[139,64663,5525],{},[143,64665,358],{},[360,64667,64668],{},"3.57",[154,64670,64671],{"encoding":156},"\\beta=3.57",[120,64673,64675,64693],{"className":64674,"ariaHidden":162},[161],[120,64676,64678,64681,64684,64687,64690],{"className":64677},[166],[120,64679],{"className":64680,"style":5538},[170],[120,64682,5525],{"className":64683,"style":5542},[175,176],[120,64685],{"className":64686,"style":399},[398],[120,64688,358],{"className":64689},[403],[120,64691],{"className":64692,"style":399},[398],[120,64694,64696,64699],{"className":64695},[166],[120,64697],{"className":64698,"style":447},[170],[120,64700,64668],{"className":64701},[175],[120,64703,64705,64724],{"className":64704},[123],[120,64706,64708],{"className":64707},[127],[129,64709,64710],{"xmlns":131},[133,64711,64712,64721],{},[136,64713,64714,64716,64718],{},[139,64715,5580],{},[143,64717,358],{},[360,64719,64720],{},"39",[154,64722,64723],{"encoding":156},"\\eta=39",[120,64725,64727,64745],{"className":64726,"ariaHidden":162},[161],[120,64728,64730,64733,64736,64739,64742],{"className":64729},[166],[120,64731],{"className":64732,"style":6115},[170],[120,64734,5580],{"className":64735,"style":5677},[175,176],[120,64737],{"className":64738,"style":399},[398],[120,64740,358],{"className":64741},[403],[120,64743],{"className":64744,"style":399},[398],[120,64746,64748,64751],{"className":64747},[166],[120,64749],{"className":64750,"style":447},[170],[120,64752,64720],{"className":64753},[175],[21,64755,64756,64757,64785],{},"求解满足以下等式的 ",[120,64758,64760,64773],{"className":64759},[123],[120,64761,64763],{"className":64762},[127],[129,64764,64765],{"xmlns":131},[133,64766,64767,64771],{},[136,64768,64769],{},[139,64770,5525],{},[154,64772,5528],{"encoding":156},[120,64774,64776],{"className":64775,"ariaHidden":162},[161],[120,64777,64779,64782],{"className":64778},[166],[120,64780],{"className":64781,"style":5538},[170],[120,64783,5525],{"className":64784,"style":5542},[175,176]," 上下限：",[21,64787,64788],{},[120,64789,64791,64879],{"className":64790},[123],[120,64792,64794],{"className":64793},[127],[129,64795,64796],{"xmlns":131},[133,64797,64798,64876],{},[136,64799,64800],{},[38750,64801,64802,64804,64806,64860,64862],{"mathsize":38752},[143,64803,669],{},[360,64805,9849],{},[136,64807,64808,64810,64812,64814,64832,64834,64836,64838,64858],{},[143,64809,3855],{"fence":162},[139,64811,5230],{},[143,64813,5233],{},[136,64815,64816,64818,64820,64822,64824,64826,64828,64830],{},[143,64817,146],{"fence":162},[139,64819,26229],{},[143,64821,146],{"stretchy":145},[139,64823,5525],{},[143,64825,5577],{"separator":162},[360,64827,64720],{},[143,64829,152],{"stretchy":145},[143,64831,152],{"fence":162},[143,64833,669],{},[139,64835,13288],{},[139,64837,9521],{},[136,64839,64840,64842,64844,64846,64848,64850,64852,64854,64856],{},[143,64841,146],{"fence":162},[139,64843,26229],{},[143,64845,146],{"stretchy":145},[360,64847,64668],{},[143,64849,5577],{"separator":162},[364,64851,423],{},[360,64853,64720],{},[143,64855,152],{"stretchy":145},[143,64857,152],{"fence":162},[143,64859,3874],{"fence":162},[143,64861,358],{},[660,64863,64864,64866,64874],{},[139,64865,63969],{},[136,64867,64868,64870,64872],{},[360,64869,1294],{},[143,64871,5577],{"separator":162},[360,64873,23750],{},[360,64875,9849],{},[154,64877,64878],{"encoding":156},"\\small- 2\\left\\lbrack \\ln\\left( L(\\beta,39) \\right) - ln\\left( L(3.57,\\ 39) \\right) \\right\\rbrack = \\chi_{1,0.9}^{2}",[120,64880,64882,65002],{"className":64881,"ariaHidden":162},[161],[120,64883,64885,64888,64891,64894,64897,64993,64996,64999],{"className":64884},[166],[120,64886],{"className":64887,"style":38923},[170],[120,64889,669],{"className":64890},[175,748,749,38907],[120,64892,9849],{"className":64893},[175,748,749,38907],[120,64895],{"className":64896,"style":993},[398],[120,64898,64900,64903,64906,64909,64939,64942,64945,64948,64951,64954,64957,64990],{"className":64899},[2781,748,749,38907],[120,64901,3855],{"className":64902,"style":38940},[181,748,38939,5941,2785],[120,64904,5230],{"className":64905},[879],[120,64907],{"className":64908,"style":993},[398],[120,64910,64912,64915,64918,64921,64924,64927,64930,64933,64936],{"className":64911},[2781],[120,64913,146],{"className":64914,"style":38940},[181,748,38939,5941,2785],[120,64916,26229],{"className":64917},[175,176],[120,64919,146],{"className":64920},[181],[120,64922,5525],{"className":64923,"style":5542},[175,176],[120,64925,5577],{"className":64926},[5661],[120,64928],{"className":64929,"style":993},[398],[120,64931,64720],{"className":64932},[175],[120,64934,152],{"className":64935},[188],[120,64937,152],{"className":64938,"style":38940},[188,748,38939,5941,2785],[120,64940],{"className":64941,"style":1352},[398],[120,64943,669],{"className":64944},[1356],[120,64946],{"className":64947,"style":1352},[398],[120,64949,13288],{"className":64950,"style":13717},[175,176],[120,64952,9521],{"className":64953},[175,176],[120,64955],{"className":64956,"style":993},[398],[120,64958,64960,64963,64966,64969,64972,64975,64978,64981,64984,64987],{"className":64959},[2781],[120,64961,146],{"className":64962,"style":38940},[181,748,38939,5941,2785],[120,64964,26229],{"className":64965},[175,176],[120,64967,146],{"className":64968},[181],[120,64970,64668],{"className":64971},[175],[120,64973,5577],{"className":64974},[5661],[120,64976,423],{"className":64977},[398],[120,64979],{"className":64980,"style":993},[398],[120,64982,64720],{"className":64983},[175],[120,64985,152],{"className":64986},[188],[120,64988,152],{"className":64989,"style":38940},[188,748,38939,5941,2785],[120,64991,3874],{"className":64992,"style":38940},[188,748,38939,5941,2785],[120,64994],{"className":64995,"style":399},[398],[120,64997,358],{"className":64998},[403,748,749,38907],[120,65000],{"className":65001,"style":399},[398],[120,65003,65005,65009],{"className":65004},[166],[120,65006],{"className":65007,"style":65008},[170],"height:1.0523em;vertical-align:-0.339em;",[120,65010,65012,65015],{"className":65011},[175,748,749,38907],[120,65013,63969],{"className":65014},[175,176],[120,65016,65018],{"className":65017},[722],[120,65019,65021,65067],{"className":65020},[726,727],[120,65022,65024,65064],{"className":65023},[731],[120,65025,65028,65049],{"className":65026,"style":65027},[735],"height:0.7926em;",[120,65029,65031,65034],{"style":65030},"top:-2.353em;margin-left:0em;margin-right:0.0556em;",[120,65032],{"className":65033,"style":39662},[743],[120,65035,65037],{"className":65036},[748,38939,3472,751],[120,65038,65040,65043,65046],{"className":65039},[175,751],[120,65041,1294],{"className":65042},[175,751],[120,65044,5577],{"className":65045},[5661,751],[120,65047,23750],{"className":65048},[175,751],[120,65050,65052,65055],{"style":65051},"top:-2.963em;margin-right:0.0556em;",[120,65053],{"className":65054,"style":39662},[743],[120,65056,65058],{"className":65057},[748,38939,3472,751],[120,65059,65061],{"className":65060},[175,751],[120,65062,9849],{"className":65063},[175,751],[120,65065,762],{"className":65066},[761],[120,65068,65070],{"className":65069},[731],[120,65071,65074],{"className":65072,"style":65073},[735],"height:0.3766em;",[120,65075],{},[62,65077],{"src":65078,"alt":65079,"width":65080},"/media/image53.png","由临界卡方值约束的 beta 似然比置信限",450,[21,65082,65083,65084,65112,65113,65141],{},"由此得到 ",[120,65085,65087,65100],{"className":65086},[123],[120,65088,65090],{"className":65089},[127],[129,65091,65092],{"xmlns":131},[133,65093,65094,65098],{},[136,65095,65096],{},[139,65097,5525],{},[154,65099,5528],{"encoding":156},[120,65101,65103],{"className":65102,"ariaHidden":162},[161],[120,65104,65106,65109],{"className":65105},[166],[120,65107],{"className":65108,"style":5538},[170],[120,65110,5525],{"className":65111,"style":5542},[175,176]," 的上下置信限。",[120,65114,65116,65129],{"className":65115},[123],[120,65117,65119],{"className":65118},[127],[129,65120,65121],{"xmlns":131},[133,65122,65123,65127],{},[136,65124,65125],{},[139,65126,5580],{},[154,65128,6105],{"encoding":156},[120,65130,65132],{"className":65131,"ariaHidden":162},[161],[120,65133,65135,65138],{"className":65134},[166],[120,65136],{"className":65137,"style":6115},[170],[120,65139,5580],{"className":65140,"style":5677},[175,176]," 的置信限可按相同方法估计。",[62,65143],{"src":65144,"alt":65145,"width":65080},"/media/image54.png","由临界卡方值约束的 eta 似然比置信限",[3590,65147,65148],{"id":65148},"时间的置信限",[21,65150,65151,65152,65154,65155,65207,65208,65298],{},"考虑相同的数据集 ",[19768,65153,19774],{},"，拟合至二参数威布尔分布。其 B(10) 寿命为 ",[120,65156,65158,65177],{"className":65157},[123],[120,65159,65161],{"className":65160},[127],[129,65162,65163],{"xmlns":131},[133,65164,65165,65174],{},[136,65166,65167,65169,65171],{},[139,65168,149],{},[143,65170,358],{},[360,65172,65173],{},"20.8",[154,65175,65176],{"encoding":156},"t=20.8",[120,65178,65180,65198],{"className":65179,"ariaHidden":162},[161],[120,65181,65183,65186,65189,65192,65195],{"className":65182},[166],[120,65184],{"className":65185,"style":231},[170],[120,65187,149],{"className":65188},[175,176],[120,65190],{"className":65191,"style":399},[398],[120,65193,358],{"className":65194},[403],[120,65196],{"className":65197,"style":399},[398],[120,65199,65201,65204],{"className":65200},[166],[120,65202],{"className":65203,"style":447},[170],[120,65205,65173],{"className":65206},[175]," 单位时间，即 ",[120,65209,65211,65241],{"className":65210},[123],[120,65212,65214],{"className":65213},[127],[129,65215,65216],{"xmlns":131},[133,65217,65218,65238],{},[136,65219,65220,65222,65224,65226,65228,65230,65232,65234,65236],{},[139,65221,300],{},[143,65223,146],{"stretchy":145},[139,65225,149],{},[143,65227,358],{},[360,65229,65173],{},[143,65231,152],{"stretchy":145},[143,65233,358],{},[360,65235,53024],{},[139,65237,23400],{"mathvariant":672},[154,65239,65240],{"encoding":156},"Q(t=20.8)=10\\%",[120,65242,65244,65268,65289],{"className":65243,"ariaHidden":162},[161],[120,65245,65247,65250,65253,65256,65259,65262,65265],{"className":65246},[166],[120,65248],{"className":65249,"style":171},[170],[120,65251,300],{"className":65252},[175,176],[120,65254,146],{"className":65255},[181],[120,65257,149],{"className":65258},[175,176],[120,65260],{"className":65261,"style":399},[398],[120,65263,358],{"className":65264},[403],[120,65266],{"className":65267,"style":399},[398],[120,65269,65271,65274,65277,65280,65283,65286],{"className":65270},[166],[120,65272],{"className":65273,"style":171},[170],[120,65275,65173],{"className":65276},[175],[120,65278,152],{"className":65279},[188],[120,65281],{"className":65282,"style":399},[398],[120,65284,358],{"className":65285},[403],[120,65287],{"className":65288,"style":399},[398],[120,65290,65292,65295],{"className":65291},[166],[120,65293],{"className":65294,"style":23545},[170],[120,65296,53060],{"className":65297},[175],"。现在求 90% 双侧置信限。",[62,65300],{"src":65301,"alt":65302,"width":77},"/media/image55.png","时间的似然比置信限示例数据",[21,65304,65305,65306,65334],{},"以时间 ",[120,65307,65309,65322],{"className":65308},[123],[120,65310,65312],{"className":65311},[127],[129,65313,65314],{"xmlns":131},[133,65315,65316,65320],{},[136,65317,65318],{},[139,65319,149],{},[154,65321,149],{"encoding":156},[120,65323,65325],{"className":65324,"ariaHidden":162},[161],[120,65326,65328,65331],{"className":65327},[166],[120,65329],{"className":65330,"style":231},[170],[120,65332,149],{"className":65333},[175,176]," 表示似然比统计量：",[21,65336,65337],{},[120,65338,65340,65498],{"className":65339},[123],[120,65341,65343],{"className":65342},[127],[129,65344,65345],{"xmlns":131},[133,65346,65347,65495],{},[136,65348,65349],{},[38750,65350,65351,65353,65355,65357,65359,65361,65363,65365,65367,65369,65421,65423,65425,65427],{"mathsize":38752},[139,65352,36607],{"mathvariant":672},[143,65354,146],{"stretchy":145},[139,65356,149],{},[143,65358,152],{"stretchy":145},[143,65360,358],{},[143,65362,669],{},[360,65364,9849],{},[139,65366,5230],{},[143,65368,5233],{},[136,65370,65371,65373,65419],{},[143,65372,146],{"fence":162},[1043,65374,65375,65395],{},[136,65376,65377,65379],{},[139,65378,26229],{},[136,65380,65381,65383,65385,65387,65393],{},[143,65382,146],{"fence":162},[139,65384,149],{},[143,65386,5577],{"separator":162},[3081,65388,65389,65391],{"accent":162},[139,65390,5525],{},[143,65392,42228],{"stretchy":162},[143,65394,152],{"fence":162},[136,65396,65397,65399],{},[139,65398,26229],{},[136,65400,65401,65403,65409,65411,65417],{},[143,65402,146],{"fence":162},[3081,65404,65405,65407],{"accent":162},[139,65406,149],{},[143,65408,42228],{"stretchy":162},[143,65410,5577],{"separator":162},[3081,65412,65413,65415],{"accent":162},[139,65414,5525],{},[143,65416,42228],{"stretchy":162},[143,65418,152],{"fence":162},[143,65420,152],{"fence":162},[143,65422,358],{},[143,65424,669],{},[360,65426,9849],{},[136,65428,65429,65431,65433,65435,65459,65461,65463,65465,65493],{},[143,65430,3855],{"fence":162},[139,65432,5230],{},[143,65434,5233],{},[136,65436,65437,65439,65441,65457],{},[143,65438,146],{"fence":162},[139,65440,26229],{},[136,65442,65443,65445,65447,65449,65455],{},[143,65444,146],{"fence":162},[139,65446,149],{},[143,65448,5577],{"separator":162},[3081,65450,65451,65453],{"accent":162},[139,65452,5525],{},[143,65454,42228],{"stretchy":162},[143,65456,152],{"fence":162},[143,65458,152],{"fence":162},[143,65460,669],{},[139,65462,13288],{},[139,65464,9521],{},[136,65466,65467,65469,65471,65491],{},[143,65468,146],{"fence":162},[139,65470,26229],{},[136,65472,65473,65475,65481,65483,65489],{},[143,65474,146],{"fence":162},[3081,65476,65477,65479],{"accent":162},[139,65478,149],{},[143,65480,42228],{"stretchy":162},[143,65482,5577],{"separator":162},[3081,65484,65485,65487],{"accent":162},[139,65486,5525],{},[143,65488,42228],{"stretchy":162},[143,65490,152],{"fence":162},[143,65492,152],{"fence":162},[143,65494,3874],{"fence":162},[154,65496,65497],{"encoding":156},"\\small\\Lambda(t) = - 2\\ln\\left( \\frac{L\\left( t,\\widehat{\\beta} \\right)}{L\\left( \\widehat{t},\\widehat{\\beta} \\right)} \\right) = - 2\\left\\lbrack \\ln\\left( L\\left( t,\\widehat{\\beta} \\right) \\right) - ln\\left( L\\left( \\widehat{t},\\widehat{\\beta} \\right) \\right) \\right\\rbrack",[120,65499,65501,65528,65806],{"className":65500,"ariaHidden":162},[161],[120,65502,65504,65507,65510,65513,65516,65519,65522,65525],{"className":65503},[166],[120,65505],{"className":65506,"style":62102},[170],[120,65508,36607],{"className":65509},[175,748,749,38907],[120,65511,146],{"className":65512},[181,748,749,38907],[120,65514,149],{"className":65515},[175,176,748,749,38907],[120,65517,152],{"className":65518},[188,748,749,38907],[120,65520],{"className":65521,"style":399},[398],[120,65523,358],{"className":65524},[403,748,749,38907],[120,65526],{"className":65527,"style":399},[398],[120,65529,65531,65534,65537,65540,65543,65546,65549,65797,65800,65803],{"className":65530},[166],[120,65532],{"className":65533,"style":40210},[170],[120,65535,669],{"className":65536},[175,748,749,38907],[120,65538,9849],{"className":65539},[175,748,749,38907],[120,65541],{"className":65542,"style":993},[398],[120,65544,5230],{"className":65545},[879,748,749,38907],[120,65547],{"className":65548,"style":993},[398],[120,65550,65552,65558,65791],{"className":65551},[2781,748,749,38907],[120,65553,65555],{"className":65554,"style":38940},[181,748,38939,5941,2785],[120,65556,146],{"className":65557},[2790,750],[120,65559,65561,65564,65788],{"className":65560},[175],[120,65562],{"className":65563},[181,1113,748,38939,5941],[120,65565,65567],{"className":65566},[1043],[120,65568,65570,65780],{"className":65569},[726,727],[120,65571,65573,65777],{"className":65572},[731],[120,65574,65577,65689,65697],{"className":65575,"style":65576},[735],"height:1.4211em;",[120,65578,65579,65582],{"style":62175},[120,65580],{"className":65581,"style":1133},[743],[120,65583,65585],{"className":65584},[748,38939,3472,751],[120,65586,65588,65591],{"className":65587},[175,751],[120,65589,26229],{"className":65590},[175,176,751],[120,65592,65594,65600,65636,65639,65683],{"className":65593},[2781,751],[120,65595,65597],{"className":65596,"style":40273},[181,748,40272,5941,751,2785],[120,65598,146],{"className":65599},[751],[120,65601,65603],{"className":65602},[175,3378,751],[120,65604,65606],{"className":65605},[726],[120,65607,65609],{"className":65608},[731],[120,65610,65612,65622],{"className":65611,"style":53702},[735],[120,65613,65615,65619],{"style":65614},"top:-2.6151em;",[120,65616],{"className":65617,"style":65618},[743],"height:2.6151em;",[120,65620,149],{"className":65621},[175,176,751],[120,65623,65626,65629],{"className":65624,"style":65625},[10529],"width:calc(100% 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0.1667em);margin-left:0.1667em;top:-3.2302em;",[120,65627],{"className":65628,"style":65618},[743],[120,65630,65632],{"className":65631,"style":42272},[751],[10555,65633,65634],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,65635],{"d":42281},[120,65637,5577],{"className":65638},[5661,751],[120,65640,65642],{"className":65641},[175,3378,751],[120,65643,65645,65675],{"className":65644},[726,727],[120,65646,65648,65672],{"className":65647},[731],[120,65649,65651,65659],{"className":65650,"style":42254},[735],[120,65652,65653,65656],{"style":10070},[120,65654],{"className":65655,"style":10074},[743],[120,65657,5525],{"className":65658,"style":5542},[175,176,751],[120,65660,65662,65665],{"className":65661,"style":48792},[10529],[120,65663],{"className":65664,"style":10074},[743],[120,65666,65668],{"className":65667,"style":42272},[751],[10555,65669,65670],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,65671],{"d":42281},[120,65673,762],{"className":65674},[761],[120,65676,65678],{"className":65677},[731],[120,65679,65681],{"className":65680,"style":30158},[735],[120,65682],{},[120,65684,65686],{"className":65685,"style":40273},[188,748,40272,5941,751,2785],[120,65687,152],{"className":65688},[751],[120,65690,65691,65694],{"style":1148},[120,65692],{"className":65693,"style":1133},[743],[120,65695],{"className":65696,"style":1156},[1155],[120,65698,65700,65703],{"style":65699},"top:-3.6544em;",[120,65701],{"className":65702,"style":1133},[743],[120,65704,65706],{"className":65705},[748,38939,3472,751],[120,65707,65709,65712],{"className":65708},[175,751],[120,65710,26229],{"className":65711},[175,176,751],[120,65713,65715,65721,65724,65727,65771],{"className":65714},[2781,751],[120,65716,65718],{"className":65717,"style":40273},[181,748,40272,5941,751,2785],[120,65719,146],{"className":65720},[751],[120,65722,149],{"className":65723},[175,176,751],[120,65725,5577],{"className":65726},[5661,751],[120,65728,65730],{"className":65729},[175,3378,751],[120,65731,65733,65763],{"className":65732},[726,727],[120,65734,65736,65760],{"className":65735},[731],[120,65737,65739,65747],{"className":65738,"style":42254},[735],[120,65740,65741,65744],{"style":10070},[120,65742],{"className":65743,"style":10074},[743],[120,65745,5525],{"className":65746,"style":5542},[175,176,751],[120,65748,65750,65753],{"className":65749,"style":48792},[10529],[120,65751],{"className":65752,"style":10074},[743],[120,65754,65756],{"className":65755,"style":42272},[751],[10555,65757,65758],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,65759],{"d":42281},[120,65761,762],{"className":65762},[761],[120,65764,65766],{"className":65765},[731],[120,65767,65769],{"className":65768,"style":30158},[735],[120,65770],{},[120,65772,65774],{"className":65773,"style":40273},[188,748,40272,5941,751,2785],[120,65775,152],{"className":65776},[751],[120,65778,762],{"className":65779},[761],[120,65781,65783],{"className":65782},[731],[120,65784,65786],{"className":65785,"style":62394},[735],[120,65787],{},[120,65789],{"className":65790},[188,1113,748,38939,5941],[120,65792,65794],{"className":65793,"style":38940},[188,748,38939,5941,2785],[120,65795,152],{"className":65796},[2790,750],[120,65798],{"className":65799,"style":399},[398],[120,65801,358],{"className":65802},[403,748,749,38907],[120,65804],{"className":65805,"style":399},[398],[120,65807,65809,65812,65815,65818,65821],{"className":65808},[166],[120,65810],{"className":65811,"style":62421},[170],[120,65813,669],{"className":65814},[175,748,749,38907],[120,65816,9849],{"className":65817},[175,748,749,38907],[120,65819],{"className":65820,"style":993},[398],[120,65822,65824,65830,65833,65836,65924,65927,65930,65933,65936,65939,65942,66060],{"className":65823},[2781,748,749,38907],[120,65825,65827],{"className":65826,"style":38940},[181,748,38939,5941,2785],[120,65828,3855],{"className":65829},[2790,959],[120,65831,5230],{"className":65832},[879],[120,65834],{"className":65835,"style":993},[398],[120,65837,65839,65845,65848,65851,65918],{"className":65838},[2781],[120,65840,65842],{"className":65841,"style":38940},[181,748,38939,5941,2785],[120,65843,146],{"className":65844},[2790,959],[120,65846,26229],{"className":65847},[175,176],[120,65849],{"className":65850,"style":993},[398],[120,65852,65854,65860,65863,65866,65869,65912],{"className":65853},[2781],[120,65855,65857],{"className":65856,"style":38940},[181,748,38939,5941,2785],[120,65858,146],{"className":65859},[2790,959],[120,65861,149],{"className":65862},[175,176],[120,65864,5577],{"className":65865},[5661],[120,65867],{"className":65868,"style":993},[398],[120,65870,65872],{"className":65871},[175,3378],[120,65873,65875,65904],{"className":65874},[726,727],[120,65876,65878,65901],{"className":65877},[731],[120,65879,65881,65889],{"className":65880,"style":42254},[735],[120,65882,65883,65886],{"style":6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- 0.1667em);margin-left:0.1667em;top:-3.5151em;",[120,65991],{"className":65992,"style":62491},[743],[120,65994,65995],{"style":42272},[10555,65996,65997],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,65998],{"d":42281},[120,66000,5577],{"className":66001},[5661],[120,66003],{"className":66004,"style":993},[398],[120,66006,66008],{"className":66007},[175,3378],[120,66009,66011,66040],{"className":66010},[726,727],[120,66012,66014,66037],{"className":66013},[731],[120,66015,66017,66025],{"className":66016,"style":42254},[735],[120,66018,66019,66022],{"style":62487},[120,66020],{"className":66021,"style":62491},[743],[120,66023,5525],{"className":66024,"style":5542},[175,176],[120,66026,66028,66031],{"className":66027,"style":62590},[10529],[120,66029],{"className":66030,"style":62491},[743],[120,66032,66033],{"style":42272},[10555,66034,66035],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66036],{"d":42281},[120,66038,762],{"className":66039},[761],[120,66041,66043],{"className":66042},[731],[120,66044,66046],{"className":66045,"style":30158},[735],[120,66047],{},[120,66049,66051],{"className":66050,"style":38940},[188,748,38939,5941,2785],[120,66052,152],{"className":66053},[2790,959],[120,66055,66057],{"className":66056,"style":38940},[188,748,38939,5941,2785],[120,66058,152],{"className":66059},[2790,959],[120,66061,66063],{"className":66062,"style":38940},[188,748,38939,5941,2785],[120,66064,3874],{"className":66065},[2790,959],[21,66067,9500],{},[6121,66069,66070,66273],{},[103,66071,66072,62785,66173,62814,66201,62887],{},[120,66073,66075,66103],{"className":66074},[123],[120,66076,66078],{"className":66077},[127],[129,66079,66080],{"xmlns":131},[133,66081,66082,66100],{},[136,66083,66084,66086,66088,66090,66092,66098],{},[139,66085,26229],{},[143,66087,146],{"stretchy":145},[139,66089,149],{},[143,66091,5577],{"separator":162},[3081,66093,66094,66096],{"accent":162},[139,66095,5525],{},[143,66097,42228],{"stretchy":162},[143,66099,152],{"stretchy":145},[154,66101,66102],{"encoding":156},"L(t,\\widehat{\\beta})",[120,66104,66106],{"className":66105,"ariaHidden":162},[161],[120,66107,66109,66112,66115,66118,66121,66124,66127,66170],{"className":66108},[166],[120,66110],{"className":66111,"style":47241},[170],[120,66113,26229],{"className":66114},[175,176],[120,66116,146],{"className":66117},[181],[120,66119,149],{"className":66120},[175,176],[120,66122,5577],{"className":66123},[5661],[120,66125],{"className":66126,"style":993},[398],[120,66128,66130],{"className":66129},[175,3378],[120,66131,66133,66162],{"className":66132},[726,727],[120,66134,66136,66159],{"className":66135},[731],[120,66137,66139,66147],{"className":66138,"style":42254},[735],[120,66140,66141,66144],{"style":3116},[120,66142],{"className":66143,"style":1133},[743],[120,66145,5525],{"className":66146,"style":5542},[175,176],[120,66148,66150,66153],{"className":66149,"style":42266},[10529],[120,66151],{"className":66152,"style":1133},[743],[120,66154,66155],{"style":42272},[10555,66156,66157],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66158],{"d":42281},[120,66160,762],{"className":66161},[761],[120,66163,66165],{"className":66164},[731],[120,66166,66168],{"className":66167,"style":30158},[735],[120,66169],{},[120,66171,152],{"className":66172},[188],[120,66174,66176,66189],{"className":66175},[123],[120,66177,66179],{"className":66178},[127],[129,66180,66181],{"xmlns":131},[133,66182,66183,66187],{},[136,66184,66185],{},[139,66186,5525],{},[154,66188,5528],{"encoding":156},[120,66190,66192],{"className":66191,"ariaHidden":162},[161],[120,66193,66195,66198],{"className":66194},[166],[120,66196],{"className":66197,"style":5538},[170],[120,66199,5525],{"className":66200,"style":5542},[175,176],[120,66202,66204,66221],{"className":66203},[123],[120,66205,66207],{"className":66206},[127],[129,66208,66209],{"xmlns":131},[133,66210,66211,66219],{},[136,66212,66213],{},[3081,66214,66215,66217],{"accent":162},[139,66216,5525],{},[143,66218,42228],{"stretchy":162},[154,66220,42231],{"encoding":156},[120,66222,66224],{"className":66223,"ariaHidden":162},[161],[120,66225,66227,66230],{"className":66226},[166],[120,66228],{"className":66229,"style":42241},[170],[120,66231,66233],{"className":66232},[175,3378],[120,66234,66236,66265],{"className":66235},[726,727],[120,66237,66239,66262],{"className":66238},[731],[120,66240,66242,66250],{"className":66241,"style":42254},[735],[120,66243,66244,66247],{"style":3116},[120,66245],{"className":66246,"style":1133},[743],[120,66248,5525],{"className":66249,"style":5542},[175,176],[120,66251,66253,66256],{"className":66252,"style":42266},[10529],[120,66254],{"className":66255,"style":1133},[743],[120,66257,66258],{"style":42272},[10555,66259,66260],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66261],{"d":42281},[120,66263,762],{"className":66264},[761],[120,66266,66268],{"className":66267},[731],[120,66269,66271],{"className":66270,"style":30158},[735],[120,66272],{},[103,66274,66275,66409,66410,66438,66439,66583],{},[120,66276,66278,66310],{"className":66277},[123],[120,66279,66281],{"className":66280},[127],[129,66282,66283],{"xmlns":131},[133,66284,66285,66307],{},[136,66286,66287,66289,66291,66297,66299,66305],{},[139,66288,26229],{},[143,66290,146],{"stretchy":145},[3081,66292,66293,66295],{"accent":162},[139,66294,149],{},[143,66296,42228],{"stretchy":162},[143,66298,5577],{"separator":162},[3081,66300,66301,66303],{"accent":162},[139,66302,5525],{},[143,66304,42228],{"stretchy":162},[143,66306,152],{"stretchy":145},[154,66308,66309],{"encoding":156},"L(\\widehat{t},\\widehat{\\beta})",[120,66311,66313],{"className":66312,"ariaHidden":162},[161],[120,66314,66316,66319,66322,66325,66357,66360,66363,66406],{"className":66315},[166],[120,66317],{"className":66318,"style":47241},[170],[120,66320,26229],{"className":66321},[175,176],[120,66323,146],{"className":66324},[181],[120,66326,66328],{"className":66327},[175,3378],[120,66329,66331],{"className":66330},[726],[120,66332,66334],{"className":66333},[731],[120,66335,66337,66345],{"className":66336,"style":53702},[735],[120,66338,66339,66342],{"style":3116},[120,66340],{"className":66341,"style":1133},[743],[120,66343,149],{"className":66344},[175,176],[120,66346,66348,66351],{"className":66347,"style":53714},[10529],[120,66349],{"className":66350,"style":1133},[743],[120,66352,66353],{"style":42272},[10555,66354,66355],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66356],{"d":42281},[120,66358,5577],{"className":66359},[5661],[120,66361],{"className":66362,"style":993},[398],[120,66364,66366],{"className":66365},[175,3378],[120,66367,66369,66398],{"className":66368},[726,727],[120,66370,66372,66395],{"className":66371},[731],[120,66373,66375,66383],{"className":66374,"style":42254},[735],[120,66376,66377,66380],{"style":3116},[120,66378],{"className":66379,"style":1133},[743],[120,66381,5525],{"className":66382,"style":5542},[175,176],[120,66384,66386,66389],{"className":66385,"style":42266},[10529],[120,66387],{"className":66388,"style":1133},[743],[120,66390,66391],{"style":42272},[10555,66392,66393],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66394],{"d":42281},[120,66396,762],{"className":66397},[761],[120,66399,66401],{"className":66400},[731],[120,66402,66404],{"className":66403,"style":30158},[735],[120,66405],{},[120,66407,152],{"className":66408},[188],"：在估计时间和估计 ",[120,66411,66413,66426],{"className":66412},[123],[120,66414,66416],{"className":66415},[127],[129,66417,66418],{"xmlns":131},[133,66419,66420,66424],{},[136,66421,66422],{},[139,66423,5525],{},[154,66425,5528],{"encoding":156},[120,66427,66429],{"className":66428,"ariaHidden":162},[161],[120,66430,66432,66435],{"className":66431},[166],[120,66433],{"className":66434,"style":5538},[170],[120,66436,5525],{"className":66437,"style":5542},[175,176]," 处求得的似然值；它与 ",[120,66440,66442,66473],{"className":66441},[123],[120,66443,66445],{"className":66444},[127],[129,66446,66447],{"xmlns":131},[133,66448,66449,66471],{},[136,66450,66451,66453,66455,66461,66463,66469],{},[139,66452,26229],{},[143,66454,146],{"stretchy":145},[3081,66456,66457,66459],{"accent":162},[139,66458,5525],{},[143,66460,42228],{"stretchy":162},[143,66462,5577],{"separator":162},[3081,66464,66465,66467],{"accent":162},[139,66466,5580],{},[143,66468,42228],{"stretchy":162},[143,66470,152],{"stretchy":145},[154,66472,62924],{"encoding":156},[120,66474,66476],{"className":66475,"ariaHidden":162},[161],[120,66477,66479,66482,66485,66488,66531,66534,66537,66580],{"className":66478},[166],[120,66480],{"className":66481,"style":47241},[170],[120,66483,26229],{"className":66484},[175,176],[120,66486,146],{"className":66487},[181],[120,66489,66491],{"className":66490},[175,3378],[120,66492,66494,66523],{"className":66493},[726,727],[120,66495,66497,66520],{"className":66496},[731],[120,66498,66500,66508],{"className":66499,"style":42254},[735],[120,66501,66502,66505],{"style":3116},[120,66503],{"className":66504,"style":1133},[743],[120,66506,5525],{"className":66507,"style":5542},[175,176],[120,66509,66511,66514],{"className":66510,"style":42266},[10529],[120,66512],{"className":66513,"style":1133},[743],[120,66515,66516],{"style":42272},[10555,66517,66518],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66519],{"d":42281},[120,66521,762],{"className":66522},[761],[120,66524,66526],{"className":66525},[731],[120,66527,66529],{"className":66528,"style":30158},[735],[120,66530],{},[120,66532,5577],{"className":66533},[5661],[120,66535],{"className":66536,"style":993},[398],[120,66538,66540],{"className":66539},[175,3378],[120,66541,66543,66572],{"className":66542},[726,727],[120,66544,66546,66569],{"className":66545},[731],[120,66547,66549,66557],{"className":66548,"style":42336},[735],[120,66550,66551,66554],{"style":3116},[120,66552],{"className":66553,"style":1133},[743],[120,66555,5580],{"className":66556,"style":5677},[175,176],[120,66558,66560,66563],{"className":66559,"style":42348},[10529],[120,66561],{"className":66562,"style":1133},[743],[120,66564,66565],{"style":42272},[10555,66566,66567],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,66568],{"d":42281},[120,66570,762],{"className":66571},[761],[120,66573,66575],{"className":66574},[731],[120,66576,66578],{"className":66577,"style":30158},[735],[120,66579],{},[120,66581,152],{"className":66582},[188]," 相同。",[21,66585,66586,66643,66644,66701],{},[120,66587,66589,66613],{"className":66588},[123],[120,66590,66592],{"className":66591},[127],[129,66593,66594],{"xmlns":131},[133,66595,66596,66610],{},[136,66597,66598,66600,66602,66604,66606,66608],{},[139,66599,26229],{},[143,66601,146],{"stretchy":145},[139,66603,149],{},[143,66605,5577],{"separator":162},[139,66607,5525],{},[143,66609,152],{"stretchy":145},[154,66611,66612],{"encoding":156},"L(t,\\beta)",[120,66614,66616],{"className":66615,"ariaHidden":162},[161],[120,66617,66619,66622,66625,66628,66631,66634,66637,66640],{"className":66618},[166],[120,66620],{"className":66621,"style":171},[170],[120,66623,26229],{"className":66624},[175,176],[120,66626,146],{"className":66627},[181],[120,66629,149],{"className":66630},[175,176],[120,66632,5577],{"className":66633},[5661],[120,66635],{"className":66636,"style":993},[398],[120,66638,5525],{"className":66639,"style":5542},[175,176],[120,66641,152],{"className":66642},[188]," 可通过在 ",[120,66645,66647,66671],{"className":66646},[123],[120,66648,66650],{"className":66649},[127],[129,66651,66652],{"xmlns":131},[133,66653,66654,66668],{},[136,66655,66656,66658,66660,66662,66664,66666],{},[139,66657,26229],{},[143,66659,146],{"stretchy":145},[139,66661,5525],{},[143,66663,5577],{"separator":162},[139,66665,5580],{},[143,66667,152],{"stretchy":145},[154,66669,66670],{"encoding":156},"L(\\beta,\\eta)",[120,66672,66674],{"className":66673,"ariaHidden":162},[161],[120,66675,66677,66680,66683,66686,66689,66692,66695,66698],{"className":66676},[166],[120,66678],{"className":66679,"style":171},[170],[120,66681,26229],{"className":66682},[175,176],[120,66684,146],{"className":66685},[181],[120,66687,5525],{"className":66688,"style":5542},[175,176],[120,66690,5577],{"className":66691},[5661],[120,66693],{"className":66694,"style":993},[398],[120,66696,5580],{"className":66697,"style":5677},[175,176],[120,66699,152],{"className":66700},[188]," 中代入下式得到：",[21,66703,66704],{},[120,66705,66707,66767],{"className":66706},[123],[120,66708,66710],{"className":66709},[127],[129,66711,66712],{"xmlns":131},[133,66713,66714,66764],{},[136,66715,66716,66718,66720],{},[139,66717,5580],{},[143,66719,358],{},[1043,66721,66722,66728],{},[3081,66723,66724,66726],{"accent":162},[139,66725,149],{},[143,66727,42228],{"stretchy":162},[3621,66729,66730,66758],{},[136,66731,66732,66734,66736,66738,66756],{},[143,66733,3855],{"fence":162},[139,66735,5230],{},[143,66737,5233],{},[136,66739,66740,66742,66754],{},[143,66741,146],{"fence":162},[1043,66743,66744,66746],{},[360,66745,1294],{},[136,66747,66748,66750,66752],{},[360,66749,1294],{},[143,66751,669],{},[139,66753,300],{},[143,66755,152],{"fence":162},[143,66757,3874],{"fence":162},[1043,66759,66760,66762],{},[360,66761,1294],{},[139,66763,5525],{},[154,66765,66766],{"encoding":156},"\\eta = \\frac{\\widehat{t}}{\\left\\lbrack \\ln\\left( \\frac{1}{1 - Q} \\right) \\right\\rbrack^{\\frac{1}{\\beta}}}",[120,66768,66770,66788],{"className":66769,"ariaHidden":162},[161],[120,66771,66773,66776,66779,66782,66785],{"className":66772},[166],[120,66774],{"className":66775,"style":6115},[170],[120,66777,5580],{"className":66778,"style":5677},[175,176],[120,66780],{"className":66781,"style":399},[398],[120,66783,358],{"className":66784},[403],[120,66786],{"className":66787,"style":399},[398],[120,66789,66791,66795],{"className":66790},[166],[120,66792],{"className":66793,"style":66794},[170],"height:2.1068em;vertical-align:-1.1142em;",[120,66796,66798,66801,67096],{"className":66797},[175],[120,66799],{"className":66800},[181,1113],[120,66802,66804],{"className":66803},[1043],[120,66805,66807,67087],{"className":66806},[726,727],[120,66808,66810,67084],{"className":66809},[731],[120,66811,66814,67031,67039],{"className":66812,"style":66813},[735],"height:0.9926em;",[120,66815,66817,66820],{"style":66816},"top:-2.2238em;",[120,66818],{"className":66819,"style":1133},[743],[120,66821,66823],{"className":66822},[748,749,750,751],[120,66824,66826],{"className":66825},[175,751],[120,66827,66829,66942],{"className":66828},[2781,751],[120,66830,66832,66838,66847,66936],{"className":66831},[2781,751],[120,66833,66835],{"className":66834,"style":5942},[181,748,958,5941,751,2785],[120,66836,3855],{"className":66837},[751],[120,66839,66841,66844],{"className":66840},[879,751],[120,66842,13288],{"className":66843},[751],[120,66845,9521],{"className":66846},[751],[120,66848,66850,66856,66930],{"className":66849},[2781,751],[120,66851,66853],{"className":66852,"style":5942},[181,748,958,5941,751,2785],[120,66854,146],{"className":66855},[751],[120,66857,66859,66862,66927],{"className":66858},[175,751],[120,66860],{"className":66861},[181,1113,748,958,5941],[120,66863,66865],{"className":66864},[1043],[120,66866,66868,66919],{"className":66867},[726,727],[120,66869,66871,66916],{"className":66870},[731],[120,66872,66874,66894,66902],{"className":66873,"style":10269},[735],[120,66875,66876,66879],{"style":5967},[120,66877],{"className":66878,"style":1133},[743],[120,66880,66882],{"className":66881},[748,958,959,751],[120,66883,66885,66888,66891],{"className":66884},[175,751],[120,66886,1294],{"className":66887},[175,751],[120,66889,669],{"className":66890},[1356,751],[120,66892,300],{"className":66893},[175,176,751],[120,66895,66896,66899],{"style":5982},[120,66897],{"className":66898,"style":1133},[743],[120,66900],{"className":66901,"style":5989},[1155,751],[120,66903,66904,66907],{"style":5992},[120,66905],{"className":66906,"style":1133},[743],[120,66908,66910],{"className":66909},[748,958,959,751],[120,66911,66913],{"className":66912},[175,751],[120,66914,1294],{"className":66915},[175,751],[120,66917,762],{"className":66918},[761],[120,66920,66922],{"className":66921},[731],[120,66923,66925],{"className":66924,"style":6014},[735],[120,66926],{},[120,66928],{"className":66929},[188,1113,748,958,5941],[120,66931,66933],{"className":66932,"style":5942},[188,748,958,5941,751,2785],[120,66934,152],{"className":66935},[751],[120,66937,66939],{"className":66938,"style":5942},[188,748,958,5941,751,2785],[120,66940,3874],{"className":66941},[751],[120,66943,66945],{"className":66944},[722],[120,66946,66948],{"className":66947},[726],[120,66949,66951],{"className":66950},[731],[120,66952,66955],{"className":66953,"style":66954},[735],"height:1.3803em;",[120,66956,66958,66961],{"style":66957},"top:-3.6436em;margin-right:0.0714em;",[120,66959],{"className":66960,"style":1133},[743],[120,66962,66964],{"className":66963},[748,958,959,751],[120,66965,66967],{"className":66966},[175,751],[120,66968,66970,66973,67028],{"className":66969},[175,751],[120,66971],{"className":66972},[181,1113,748,48668,5941],[120,66974,66976],{"className":66975},[1043],[120,66977,66979,67019],{"className":66978},[726,727],[120,66980,66982,67016],{"className":66981},[731],[120,66983,66986,66997,67005],{"className":66984,"style":66985},[735],"height:1.0314em;",[120,66987,66988,66991],{"style":40301},[120,66989],{"className":66990,"style":1133},[743],[120,66992,66994],{"className":66993},[175,751],[120,66995,5525],{"className":66996,"style":5542},[175,176,751],[120,66998,66999,67002],{"style":5982},[120,67000],{"className":67001,"style":1133},[743],[120,67003],{"className":67004,"style":5989},[1155,751],[120,67006,67007,67010],{"style":40324},[120,67008],{"className":67009,"style":1133},[743],[120,67011,67013],{"className":67012},[175,751],[120,67014,1294],{"className":67015},[175,751],[120,67017,762],{"className":67018},[761],[120,67020,67022],{"className":67021},[731],[120,67023,67026],{"className":67024,"style":67025},[735],"height:0.7264em;",[120,67027],{},[120,67029],{"className":67030},[188,1113,748,48668,5941],[120,67032,67033,67036],{"style":1148},[120,67034],{"className":67035,"style":1133},[743],[120,67037],{"className":67038,"style":1156},[1155],[120,67040,67041,67044],{"style":1879},[120,67042],{"className":67043,"style":1133},[743],[120,67045,67047],{"className":67046},[748,749,750,751],[120,67048,67050],{"className":67049},[175,751],[120,67051,67053],{"className":67052},[175,3378,751],[120,67054,67056],{"className":67055},[726],[120,67057,67059],{"className":67058},[731],[120,67060,67062,67070],{"className":67061,"style":53702},[735],[120,67063,67064,67067],{"style":19224},[120,67065],{"className":67066,"style":744},[743],[120,67068,149],{"className":67069},[175,176,751],[120,67071,67074,67077],{"className":67072,"style":67073},[10529],"width:calc(100% - 0.1667em);margin-left:0.1667em;top:-3.3151em;",[120,67075],{"className":67076,"style":744},[743],[120,67078,67080],{"className":67079,"style":42272},[751],[10555,67081,67082],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,67083],{"d":42281},[120,67085,762],{"className":67086},[761],[120,67088,67090],{"className":67089},[731],[120,67091,67094],{"className":67092,"style":67093},[735],"height:1.1142em;",[120,67095],{},[120,67097],{"className":67098},[188,1113],[21,67100,67101],{},"对于完整数据：",[21,67103,67104],{},[120,67105,67107,67205],{"className":67106},[123],[120,67108,67110],{"className":67109},[127],[129,67111,67112],{"xmlns":131},[133,67113,67114,67202],{},[136,67115,67116,67118,67120,67122,67124,67126,67128,67130,67144,67156,67178],{},[139,67117,26229],{},[143,67119,146],{"stretchy":145},[139,67121,5525],{},[143,67123,5577],{"separator":162},[139,67125,149],{},[143,67127,152],{"stretchy":145},[143,67129,358],{},[660,67131,67132,67134,67142],{},[143,67133,35663],{},[136,67135,67136,67138,67140],{},[139,67137,19796],{},[143,67139,358],{},[139,67141,19796],{},[139,67143,1628],{},[136,67145,67146,67148,67154],{},[143,67147,146],{"fence":162},[1043,67149,67150,67152],{},[139,67151,5525],{},[139,67153,5580],{},[143,67155,152],{"fence":162},[3621,67157,67158,67170],{},[136,67159,67160,67162,67168],{},[143,67161,146],{"fence":162},[1043,67163,67164,67166],{},[139,67165,149],{},[139,67167,5580],{},[143,67169,152],{"fence":162},[136,67171,67172,67174,67176],{},[139,67173,5525],{},[143,67175,669],{},[360,67177,1294],{},[3621,67179,67180,67182],{},[139,67181,3629],{},[136,67183,67184,67186],{},[143,67185,669],{},[3621,67187,67188,67200],{},[136,67189,67190,67192,67198],{},[143,67191,146],{"fence":162},[1043,67193,67194,67196],{},[139,67195,149],{},[139,67197,5580],{},[143,67199,152],{"fence":162},[139,67201,5525],{},[154,67203,67204],{"encoding":156},"L(\\beta,t) = \\prod_{i = i}^{N}\\left( \\frac{\\beta}{\\eta} \\right)\\left( \\frac{t}{\\eta} \\right)^{\\beta - 1}e^{- \\left( \\frac{t}{\\eta} \\right)^{\\beta}}",[120,67206,67208,67244],{"className":67207,"ariaHidden":162},[161],[120,67209,67211,67214,67217,67220,67223,67226,67229,67232,67235,67238,67241],{"className":67210},[166],[120,67212],{"className":67213,"style":171},[170],[120,67215,26229],{"className":67216},[175,176],[120,67218,146],{"className":67219},[181],[120,67221,5525],{"className":67222,"style":5542},[175,176],[120,67224,5577],{"className":67225},[5661],[120,67227],{"className":67228,"style":993},[398],[120,67230,149],{"className":67231},[175,176],[120,67233,152],{"className":67234},[188],[120,67236],{"className":67237,"style":399},[398],[120,67239,358],{"className":67240},[403],[120,67242],{"className":67243,"style":399},[398],[120,67245,67247,67250,67313,67316,67399,67402,67520,67523],{"className":67246},[166],[120,67248],{"className":67249,"style":5696},[170],[120,67251,67253,67256],{"className":67252},[879],[120,67254,35663],{"className":67255,"style":20037},[879,883,884],[120,67257,67259],{"className":67258},[722],[120,67260,67262,67305],{"className":67261},[726,727],[120,67263,67265,67302],{"className":67264},[731],[120,67266,67268,67288],{"className":67267,"style":20050},[735],[120,67269,67270,67273],{"style":20053},[120,67271],{"className":67272,"style":744},[743],[120,67274,67276],{"className":67275},[748,749,750,751],[120,67277,67279,67282,67285],{"className":67278},[175,751],[120,67280,19796],{"className":67281},[175,176,751],[120,67283,358],{"className":67284},[403,751],[120,67286,19796],{"className":67287},[175,176,751],[120,67289,67290,67293],{"style":20076},[120,67291],{"className":67292,"style":744},[743],[120,67294,67296],{"className":67295},[748,749,750,751],[120,67297,67299],{"className":67298},[175,751],[120,67300,1628],{"className":67301,"style":1859},[175,176,751],[120,67303,762],{"className":67304},[761],[120,67306,67308],{"className":67307},[731],[120,67309,67311],{"className":67310,"style":30772},[735],[120,67312],{},[120,67314],{"className":67315,"style":993},[398],[120,67317,67319,67325,67393],{"className":67318},[2781],[120,67320,67322],{"className":67321,"style":2786},[181,2785],[120,67323,146],{"className":67324},[2790,3472],[120,67326,67328,67331,67390],{"className":67327},[175],[120,67329],{"className":67330},[181,1113],[120,67332,67334],{"className":67333},[1043],[120,67335,67337,67382],{"className":67336},[726,727],[120,67338,67340,67379],{"className":67339},[731],[120,67341,67343,67357,67365],{"className":67342,"style":5715},[735],[120,67344,67345,67348],{"style":1129},[120,67346],{"className":67347,"style":1133},[743],[120,67349,67351],{"className":67350},[748,749,750,751],[120,67352,67354],{"className":67353},[175,751],[120,67355,5580],{"className":67356,"style":5677},[175,176,751],[120,67358,67359,67362],{"style":1148},[120,67360],{"className":67361,"style":1133},[743],[120,67363],{"className":67364,"style":1156},[1155],[120,67366,67367,67370],{"style":5740},[120,67368],{"className":67369,"style":1133},[743],[120,67371,67373],{"className":67372},[748,749,750,751],[120,67374,67376],{"className":67375},[175,751],[120,67377,5525],{"className":67378,"style":5542},[175,176,751],[120,67380,762],{"className":67381},[761],[120,67383,67385],{"className":67384},[731],[120,67386,67388],{"className":67387,"style":5762},[735],[120,67389],{},[120,67391],{"className":67392},[188,1113],[120,67394,67396],{"className":67395,"style":2786},[188,2785],[120,67397,152],{"className":67398},[2790,3472],[120,67400],{"className":67401,"style":993},[398],[120,67403,67405,67488],{"className":67404},[2781],[120,67406,67408,67414,67482],{"className":67407},[2781],[120,67409,67411],{"className":67410,"style":2786},[181,2785],[120,67412,146],{"className":67413},[2790,3472],[120,67415,67417,67420,67479],{"className":67416},[175],[120,67418],{"className":67419},[181,1113],[120,67421,67423],{"className":67422},[1043],[120,67424,67426,67471],{"className":67425},[726,727],[120,67427,67429,67468],{"className":67428},[731],[120,67430,67432,67446,67454],{"className":67431,"style":5801},[735],[120,67433,67434,67437],{"style":1129},[120,67435],{"className":67436,"style":1133},[743],[120,67438,67440],{"className":67439},[748,749,750,751],[120,67441,67443],{"className":67442},[175,751],[120,67444,5580],{"className":67445,"style":5677},[175,176,751],[120,67447,67448,67451],{"style":1148},[120,67449],{"className":67450,"style":1133},[743],[120,67452],{"className":67453,"style":1156},[1155],[120,67455,67456,67459],{"style":1879},[120,67457],{"className":67458,"style":1133},[743],[120,67460,67462],{"className":67461},[748,749,750,751],[120,67463,67465],{"className":67464},[175,751],[120,67466,149],{"className":67467},[175,176,751],[120,67469,762],{"className":67470},[761],[120,67472,67474],{"className":67473},[731],[120,67475,67477],{"className":67476,"style":5762},[735],[120,67478],{},[120,67480],{"className":67481},[188,1113],[120,67483,67485],{"className":67484,"style":2786},[188,2785],[120,67486,152],{"className":67487},[2790,3472],[120,67489,67491],{"className":67490},[722],[120,67492,67494],{"className":67493},[726],[120,67495,67497],{"className":67496},[731],[120,67498,67500],{"className":67499,"style":5870},[735],[120,67501,67502,67505],{"style":5873},[120,67503],{"className":67504,"style":744},[743],[120,67506,67508],{"className":67507},[748,749,750,751],[120,67509,67511,67514,67517],{"className":67510},[175,751],[120,67512,5525],{"className":67513,"style":5542},[175,176,751],[120,67515,669],{"className":67516},[1356,751],[120,67518,1294],{"className":67519},[175,751],[120,67521],{"className":67522,"style":993},[398],[120,67524,67526,67529],{"className":67525},[175],[120,67527,3629],{"className":67528},[175,176],[120,67530,67532],{"className":67531},[722],[120,67533,67535],{"className":67534},[726],[120,67536,67538],{"className":67537},[731],[120,67539,67541],{"className":67540,"style":5913},[735],[120,67542,67543,67546],{"style":5916},[120,67544],{"className":67545,"style":1133},[743],[120,67547,67549],{"className":67548},[748,749,750,751],[120,67550,67552,67555],{"className":67551},[175,751],[120,67553,669],{"className":67554},[175,751],[120,67556,67558,67641],{"className":67557},[2781,751],[120,67559,67561,67567,67635],{"className":67560},[2781,751],[120,67562,67564],{"className":67563,"style":5942},[181,748,958,5941,751,2785],[120,67565,146],{"className":67566},[751],[120,67568,67570,67573,67632],{"className":67569},[175,751],[120,67571],{"className":67572},[181,1113,748,958,5941],[120,67574,67576],{"className":67575},[1043],[120,67577,67579,67624],{"className":67578},[726,727],[120,67580,67582,67621],{"className":67581},[731],[120,67583,67585,67599,67607],{"className":67584,"style":5964},[735],[120,67586,67587,67590],{"style":5967},[120,67588],{"className":67589,"style":1133},[743],[120,67591,67593],{"className":67592},[748,958,959,751],[120,67594,67596],{"className":67595},[175,751],[120,67597,5580],{"className":67598,"style":5677},[175,176,751],[120,67600,67601,67604],{"style":5982},[120,67602],{"className":67603,"style":1133},[743],[120,67605],{"className":67606,"style":5989},[1155,751],[120,67608,67609,67612],{"style":5992},[120,67610],{"className":67611,"style":1133},[743],[120,67613,67615],{"className":67614},[748,958,959,751],[120,67616,67618],{"className":67617},[175,751],[120,67619,149],{"className":67620},[175,176,751],[120,67622,762],{"className":67623},[761],[120,67625,67627],{"className":67626},[731],[120,67628,67630],{"className":67629,"style":6014},[735],[120,67631],{},[120,67633],{"className":67634},[188,1113,748,958,5941],[120,67636,67638],{"className":67637,"style":5942},[188,748,958,5941,751,2785],[120,67639,152],{"className":67640},[751],[120,67642,67644],{"className":67643},[722],[120,67645,67647],{"className":67646},[726],[120,67648,67650],{"className":67649},[731],[120,67651,67653],{"className":67652,"style":6038},[735],[120,67654,67655,67658],{"style":6041},[120,67656],{"className":67657,"style":954},[743],[120,67659,67661],{"className":67660},[748,958,959,751],[120,67662,67664],{"className":67663},[175,751],[120,67665,5525],{"className":67666,"style":5542},[175,176,751],[21,67668,67669,67670,67721,67722,6200],{},"其中 ",[120,67671,67673,67691],{"className":67672},[123],[120,67674,67676],{"className":67675},[127],[129,67677,67678],{"xmlns":131},[133,67679,67680,67688],{},[136,67681,67682,67684,67686],{},[139,67683,300],{},[143,67685,358],{},[360,67687,48119],{},[154,67689,67690],{"encoding":156},"Q=0.1",[120,67692,67694,67712],{"className":67693,"ariaHidden":162},[161],[120,67695,67697,67700,67703,67706,67709],{"className":67696},[166],[120,67698],{"className":67699,"style":23584},[170],[120,67701,300],{"className":67702},[175,176],[120,67704],{"className":67705,"style":399},[398],[120,67707,358],{"className":67708},[403],[120,67710],{"className":67711,"style":399},[398],[120,67713,67715,67718],{"className":67714},[166],[120,67716],{"className":67717,"style":447},[170],[120,67719,48119],{"className":67720},[175],"。求满足以下等式的最大和最小 ",[120,67723,67725,67738],{"className":67724},[123],[120,67726,67728],{"className":67727},[127],[129,67729,67730],{"xmlns":131},[133,67731,67732,67736],{},[136,67733,67734],{},[139,67735,149],{},[154,67737,149],{"encoding":156},[120,67739,67741],{"className":67740,"ariaHidden":162},[161],[120,67742,67744,67747],{"className":67743},[166],[120,67745],{"className":67746,"style":231},[170],[120,67748,149],{"className":67749},[175,176],[21,67751,67752],{},[120,67753,67755,67841],{"className":67754},[123],[120,67756,67758],{"className":67757},[127],[129,67759,67760],{"xmlns":131},[133,67761,67762,67838],{},[136,67763,67764,67766,67768,67822,67824],{},[143,67765,669],{},[360,67767,9849],{},[136,67769,67770,67772,67774,67776,67794,67796,67798,67800,67820],{},[143,67771,3855],{"fence":162},[139,67773,5230],{},[143,67775,5233],{},[136,67777,67778,67780,67782,67784,67786,67788,67790,67792],{},[143,67779,146],{"fence":162},[139,67781,26229],{},[143,67783,146],{"stretchy":145},[139,67785,149],{},[143,67787,5577],{"separator":162},[360,67789,64668],{},[143,67791,152],{"stretchy":145},[143,67793,152],{"fence":162},[143,67795,669],{},[139,67797,13288],{},[139,67799,9521],{},[136,67801,67802,67804,67806,67808,67810,67812,67814,67816,67818],{},[143,67803,146],{"fence":162},[139,67805,26229],{},[143,67807,146],{"stretchy":145},[360,67809,65173],{},[143,67811,5577],{"separator":162},[364,67813,423],{},[360,67815,64668],{},[143,67817,152],{"stretchy":145},[143,67819,152],{"fence":162},[143,67821,3874],{"fence":162},[143,67823,358],{},[660,67825,67826,67828,67836],{},[139,67827,63969],{},[136,67829,67830,67832,67834],{},[360,67831,1294],{},[143,67833,5577],{"separator":162},[360,67835,23750],{},[360,67837,9849],{},[154,67839,67840],{"encoding":156},"- 2\\left\\lbrack \\ln\\left( L(t,3.57) \\right) - ln\\left( L(20.8,\\ 3.57) \\right) \\right\\rbrack = \\chi_{1,0.9}^{2}",[120,67842,67844,67964],{"className":67843,"ariaHidden":162},[161],[120,67845,67847,67850,67853,67856,67859,67955,67958,67961],{"className":67846},[166],[120,67848],{"className":67849,"style":171},[170],[120,67851,669],{"className":67852},[175],[120,67854,9849],{"className":67855},[175],[120,67857],{"className":67858,"style":993},[398],[120,67860,67862,67865,67868,67871,67901,67904,67907,67910,67913,67916,67919,67952],{"className":67861},[2781],[120,67863,3855],{"className":67864,"style":2786},[181,2785],[120,67866,5230],{"className":67867},[879],[120,67869],{"className":67870,"style":993},[398],[120,67872,67874,67877,67880,67883,67886,67889,67892,67895,67898],{"className":67873},[2781],[120,67875,146],{"className":67876,"style":2786},[181,2785],[120,67878,26229],{"className":67879},[175,176],[120,67881,146],{"className":67882},[181],[120,67884,149],{"className":67885},[175,176],[120,67887,5577],{"className":67888},[5661],[120,67890],{"className":67891,"style":993},[398],[120,67893,64668],{"className":67894},[175],[120,67896,152],{"className":67897},[188],[120,67899,152],{"className":67900,"style":2786},[188,2785],[120,67902],{"className":67903,"style":1352},[398],[120,67905,669],{"className":67906},[1356],[120,67908],{"className":67909,"style":1352},[398],[120,67911,13288],{"className":67912,"style":13717},[175,176],[120,67914,9521],{"className":67915},[175,176],[120,67917],{"className":67918,"style":993},[398],[120,67920,67922,67925,67928,67931,67934,67937,67940,67943,67946,67949],{"className":67921},[2781],[120,67923,146],{"className":67924,"style":2786},[181,2785],[120,67926,26229],{"className":67927},[175,176],[120,67929,146],{"className":67930},[181],[120,67932,65173],{"className":67933},[175],[120,67935,5577],{"className":67936},[5661],[120,67938,423],{"className":67939},[398],[120,67941],{"className":67942,"style":993},[398],[120,67944,64668],{"className":67945},[175],[120,67947,152],{"className":67948},[188],[120,67950,152],{"className":67951,"style":2786},[188,2785],[120,67953,3874],{"className":67954,"style":2786},[188,2785],[120,67956],{"className":67957,"style":399},[398],[120,67959,358],{"className":67960},[403],[120,67962],{"className":67963,"style":399},[398],[120,67965,67967,67970],{"className":67966},[166],[120,67968],{"className":67969,"style":64023},[170],[120,67971,67973,67976],{"className":67972},[175],[120,67974,63969],{"className":67975},[175,176],[120,67977,67979],{"className":67978},[722],[120,67980,67982,68025],{"className":67981},[726,727],[120,67983,67985,68022],{"className":67984},[731],[120,67986,67988,68008],{"className":67987,"style":9720},[735],[120,67989,67990,67993],{"style":64044},[120,67991],{"className":67992,"style":744},[743],[120,67994,67996],{"className":67995},[748,749,750,751],[120,67997,67999,68002,68005],{"className":67998},[175,751],[120,68000,1294],{"className":68001},[175,751],[120,68003,5577],{"className":68004},[5661,751],[120,68006,23750],{"className":68007},[175,751],[120,68009,68010,68013],{"style":9686},[120,68011],{"className":68012,"style":744},[743],[120,68014,68016],{"className":68015},[748,749,750,751],[120,68017,68019],{"className":68018},[175,751],[120,68020,9849],{"className":68021},[175,751],[120,68023,762],{"className":68024},[761],[120,68026,68028],{"className":68027},[731],[120,68029,68031],{"className":68030,"style":64092},[735],[120,68032],{},[62,68034],{"src":68035,"alt":68036,"width":65080},"/media/image56.png","由临界卡方值约束的时间似然比等高线",[21,68038,68039,68040,68068,68069,68121],{},"满足似然比约束的 ",[120,68041,68043,68056],{"className":68042},[123],[120,68044,68046],{"className":68045},[127],[129,68047,68048],{"xmlns":131},[133,68049,68050,68054],{},[136,68051,68052],{},[139,68053,149],{},[154,68055,149],{"encoding":156},[120,68057,68059],{"className":68058,"ariaHidden":162},[161],[120,68060,68062,68065],{"className":68061},[166],[120,68063],{"className":68064,"style":231},[170],[120,68066,149],{"className":68067},[175,176]," 上下限（",[120,68070,68072,68091],{"className":68071},[123],[120,68073,68075],{"className":68074},[127],[129,68076,68077],{"xmlns":131},[133,68078,68079,68089],{},[136,68080,68081,68083,68085,68087],{},[139,68082,300],{},[143,68084,358],{},[360,68086,53024],{},[139,68088,23400],{"mathvariant":672},[154,68090,53029],{"encoding":156},[120,68092,68094,68112],{"className":68093,"ariaHidden":162},[161],[120,68095,68097,68100,68103,68106,68109],{"className":68096},[166],[120,68098],{"className":68099,"style":23584},[170],[120,68101,300],{"className":68102},[175,176],[120,68104],{"className":68105,"style":399},[398],[120,68107,358],{"className":68108},[403],[120,68110],{"className":68111,"style":399},[398],[120,68113,68115,68118],{"className":68114},[166],[120,68116],{"className":68117,"style":23545},[170],[120,68119,53060],{"className":68120},[175],"）",[62,68123],{"src":68124,"alt":68125,"width":77},"/media/image57.png","时间的似然比置信限",[21,68127,68128],{},"其含义是：在 90% 置信水平下，预计总体中 10% 的单元将在 9.1 至 30.7 单位时间之间失效。",[21,68130,58487,68131,68183],{},[120,68132,68134,68153],{"className":68133},[123],[120,68135,68137],{"className":68136},[127],[129,68138,68139],{"xmlns":131},[133,68140,68141,68151],{},[136,68142,68143,68145,68147,68149],{},[139,68144,300],{},[143,68146,358],{},[360,68148,53024],{},[139,68150,23400],{"mathvariant":672},[154,68152,53029],{"encoding":156},[120,68154,68156,68174],{"className":68155,"ariaHidden":162},[161],[120,68157,68159,68162,68165,68168,68171],{"className":68158},[166],[120,68160],{"className":68161,"style":23584},[170],[120,68163,300],{"className":68164},[175,176],[120,68166],{"className":68167,"style":399},[398],[120,68169,358],{"className":68170},[403],[120,68172],{"className":68173,"style":399},[398],[120,68175,68177,68180],{"className":68176},[166],[120,68178],{"className":68179,"style":23545},[170],[120,68181,53060],{"className":68182},[175]," 处得到时间的 90% 置信区间。对不同 Q 值重复计算：",[62,68185],{"src":68186,"alt":68187,"width":77},"/media/image58.png","不同不可靠度下时间的 90% 似然比置信限",[21,68189,58576],{},[62,68191],{"src":68192,"alt":61891,"width":66},"/media/image59.png",[21,68194,68195],{},"似然比双侧置信限，置信水平 90%",[3590,68197,68198],{"id":68198},"可靠度的置信限",[21,68200,68201,68202,68230],{},"给定时间 ",[120,68203,68205,68218],{"className":68204},[123],[120,68206,68208],{"className":68207},[127],[129,68209,68210],{"xmlns":131},[133,68211,68212,68216],{},[136,68213,68214],{},[139,68215,149],{},[154,68217,149],{"encoding":156},[120,68219,68221],{"className":68220,"ariaHidden":162},[161],[120,68222,68224,68227],{"className":68223},[166],[120,68225],{"className":68226,"style":231},[170],[120,68228,149],{"className":68229},[175,176]," 时，可靠度置信限的求取过程与上一节相同。以不可靠度 Q 表示似然比统计量：",[21,68232,68233],{},[120,68234,68236,68392],{"className":68235},[123],[120,68237,68239],{"className":68238},[127],[129,68240,68241],{"xmlns":131},[133,68242,68243,68389],{},[136,68244,68245,68247,68249,68251,68253,68255,68257,68259,68261,68263,68315,68317,68319,68321],{},[139,68246,36607],{"mathvariant":672},[143,68248,146],{"stretchy":145},[139,68250,300],{},[143,68252,152],{"stretchy":145},[143,68254,358],{},[143,68256,669],{},[360,68258,9849],{},[139,68260,5230],{},[143,68262,5233],{},[136,68264,68265,68267,68313],{},[143,68266,146],{"fence":162},[1043,68268,68269,68289],{},[136,68270,68271,68273],{},[139,68272,26229],{},[136,68274,68275,68277,68279,68281,68287],{},[143,68276,146],{"fence":162},[139,68278,300],{},[143,68280,5577],{"separator":162},[3081,68282,68283,68285],{"accent":162},[139,68284,5525],{},[143,68286,42228],{"stretchy":162},[143,68288,152],{"fence":162},[136,68290,68291,68293],{},[139,68292,26229],{},[136,68294,68295,68297,68303,68305,68311],{},[143,68296,146],{"fence":162},[3081,68298,68299,68301],{"accent":162},[139,68300,300],{},[143,68302,42228],{"stretchy":162},[143,68304,5577],{"separator":162},[3081,68306,68307,68309],{"accent":162},[139,68308,5525],{},[143,68310,42228],{"stretchy":162},[143,68312,152],{"fence":162},[143,68314,152],{"fence":162},[143,68316,358],{},[143,68318,669],{},[360,68320,9849],{},[136,68322,68323,68325,68327,68329,68353,68355,68357,68359,68387],{},[143,68324,3855],{"fence":162},[139,68326,5230],{},[143,68328,5233],{},[136,68330,68331,68333,68335,68351],{},[143,68332,146],{"fence":162},[139,68334,26229],{},[136,68336,68337,68339,68341,68343,68349],{},[143,68338,146],{"fence":162},[139,68340,300],{},[143,68342,5577],{"separator":162},[3081,68344,68345,68347],{"accent":162},[139,68346,5525],{},[143,68348,42228],{"stretchy":162},[143,68350,152],{"fence":162},[143,68352,152],{"fence":162},[143,68354,669],{},[139,68356,13288],{},[139,68358,9521],{},[136,68360,68361,68363,68365,68385],{},[143,68362,146],{"fence":162},[139,68364,26229],{},[136,68366,68367,68369,68375,68377,68383],{},[143,68368,146],{"fence":162},[3081,68370,68371,68373],{"accent":162},[139,68372,300],{},[143,68374,42228],{"stretchy":162},[143,68376,5577],{"separator":162},[3081,68378,68379,68381],{"accent":162},[139,68380,5525],{},[143,68382,42228],{"stretchy":162},[143,68384,152],{"fence":162},[143,68386,152],{"fence":162},[143,68388,3874],{"fence":162},[154,68390,68391],{"encoding":156},"\\Lambda(Q) = - 2\\ln\\left( \\frac{L\\left( Q,\\widehat{\\beta} \\right)}{L\\left( \\widehat{Q},\\widehat{\\beta} \\right)} \\right) = - 2\\left\\lbrack \\ln\\left( L\\left( Q,\\widehat{\\beta} \\right) \\right) - ln\\left( L\\left( \\widehat{Q},\\widehat{\\beta} \\right) \\right) 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Q：",[21,70166,70167],{},[120,70168,70170,70257],{"className":70169},[123],[120,70171,70173],{"className":70172},[127],[129,70174,70175],{"xmlns":131},[133,70176,70177,70254],{},[136,70178,70179,70181,70183,70238,70240],{},[143,70180,669],{},[360,70182,9849],{},[136,70184,70185,70187,70189,70191,70209,70211,70213,70215,70236],{},[143,70186,3855],{"fence":162},[139,70188,5230],{},[143,70190,5233],{},[136,70192,70193,70195,70197,70199,70201,70203,70205,70207],{},[143,70194,146],{"fence":162},[139,70196,26229],{},[143,70198,146],{"stretchy":145},[139,70200,300],{},[143,70202,5577],{"separator":162},[360,70204,64668],{},[143,70206,152],{"stretchy":145},[143,70208,152],{"fence":162},[143,70210,669],{},[139,70212,13288],{},[139,70214,9521],{},[136,70216,70217,70219,70221,70223,70226,70228,70230,70232,70234],{},[143,70218,146],{"fence":162},[139,70220,26229],{},[143,70222,146],{"stretchy":145},[360,70224,70225],{},"0.0881",[143,70227,5577],{"separator":162},[364,70229,423],{},[360,70231,64668],{},[143,70233,152],{"stretchy":145},[143,70235,152],{"fence":162},[143,70237,3874],{"fence":162},[143,70239,358],{},[660,70241,70242,70244,70252],{},[139,70243,63969],{},[136,70245,70246,70248,70250],{},[360,70247,1294],{},[143,70249,5577],{"separator":162},[360,70251,23750],{},[360,70253,9849],{},[154,70255,70256],{"encoding":156},"- 2\\left\\lbrack \\ln\\left( L(Q,3.57) \\right) - ln\\left( L(0.0881,\\ 3.57) \\right) \\right\\rbrack = \\chi_{1,0.9}^{2}",[120,70258,70260,70380],{"className":70259,"ariaHidden":162},[161],[120,70261,70263,70266,70269,70272,70275,70371,70374,70377],{"className":70262},[166],[120,70264],{"className":70265,"style":171},[170],[120,70267,669],{"className":70268},[175],[120,70270,9849],{"className":70271},[175],[120,70273],{"className":70274,"style":993},[398],[120,70276,70278,70281,70284,70287,70317,70320,70323,70326,70329,70332,70335,70368],{"className":70277},[2781],[120,70279,3855],{"className":70280,"style":2786},[181,2785],[120,70282,5230],{"className":70283},[879],[120,70285],{"className":70286,"style":993},[398],[120,70288,70290,70293,70296,70299,70302,70305,70308,70311,70314],{"className":70289},[2781],[120,70291,146],{"className":70292,"style":2786},[181,2785],[120,70294,26229],{"className":70295},[175,176],[120,70297,146],{"className":70298},[181],[120,70300,300],{"className":70301},[175,176],[120,70303,5577],{"className":70304},[5661],[120,70306],{"className":70307,"style":993},[398],[120,70309,64668],{"className":70310},[175],[120,70312,152],{"className":70313},[188],[120,70315,152],{"className":70316,"style":2786},[188,2785],[120,70318],{"className":70319,"style":1352},[398],[120,70321,669],{"className":70322},[1356],[120,70324],{"className":70325,"style":1352},[398],[120,70327,13288],{"className":70328,"style":13717},[175,176],[120,70330,9521],{"className":70331},[175,176],[120,70333],{"className":70334,"style":993},[398],[120,70336,70338,70341,70344,70347,70350,70353,70356,70359,70362,70365],{"className":70337},[2781],[120,70339,146],{"className":70340,"style":2786},[181,2785],[120,70342,26229],{"className":70343},[175,176],[120,70345,146],{"className":70346},[181],[120,70348,70225],{"className":70349},[175],[120,70351,5577],{"className":70352},[5661],[120,70354,423],{"className":70355},[398],[120,70357],{"className":70358,"style":993},[398],[120,70360,64668],{"className":70361},[175],[120,70363,152],{"className":70364},[188],[120,70366,152],{"className":70367,"style":2786},[188,2785],[120,70369,3874],{"className":70370,"style":2786},[188,2785],[120,70372],{"className":70373,"style":399},[398],[120,70375,358],{"className":70376},[403],[120,70378],{"className":70379,"style":399},[398],[120,70381,70383,70386],{"className":70382},[166],[120,70384],{"className":70385,"style":64023},[170],[120,70387,70389,70392],{"className":70388},[175],[120,70390,63969],{"className":70391},[175,176],[120,70393,70395],{"className":70394},[722],[120,70396,70398,70441],{"className":70397},[726,727],[120,70399,70401,70438],{"className":70400},[731],[120,70402,70404,70424],{"className":70403,"style":9720},[735],[120,70405,70406,70409],{"style":64044},[120,70407],{"className":70408,"style":744},[743],[120,70410,70412],{"className":70411},[748,749,750,751],[120,70413,70415,70418,70421],{"className":70414},[175,751],[120,70416,1294],{"className":70417},[175,751],[120,70419,5577],{"className":70420},[5661,751],[120,70422,23750],{"className":70423},[175,751],[120,70425,70426,70429],{"style":9686},[120,70427],{"className":70428,"style":744},[743],[120,70430,70432],{"className":70431},[748,749,750,751],[120,70433,70435],{"className":70434},[175,751],[120,70436,9849],{"className":70437},[175,751],[120,70439,762],{"className":70440},[761],[120,70442,70444],{"className":70443},[731],[120,70445,70447],{"className":70446,"style":64092},[735],[120,70448],{},[62,70450],{"src":70451,"alt":70452,"width":65080},"/media/image61.png","由临界卡方值约束的不可靠度似然比等高线",[21,70454,70455,70456,68121],{},"满足似然比约束的 Q 上下限（",[120,70457,70459,70476],{"className":70458},[123],[120,70460,70462],{"className":70461},[127],[129,70463,70464],{"xmlns":131},[133,70465,70466,70474],{},[136,70467,70468,70470,70472],{},[139,70469,149],{},[143,70471,358],{},[360,70473,38771],{},[154,70475,58612],{"encoding":156},[120,70477,70479,70497],{"className":70478,"ariaHidden":162},[161],[120,70480,70482,70485,70488,70491,70494],{"className":70481},[166],[120,70483],{"className":70484,"style":231},[170],[120,70486,149],{"className":70487},[175,176],[120,70489],{"className":70490,"style":399},[398],[120,70492,358],{"className":70493},[403],[120,70495],{"className":70496,"style":399},[398],[120,70498,70500,70503],{"className":70499},[166],[120,70501],{"className":70502,"style":447},[170],[120,70504,38771],{"className":70505},[175],[62,70507],{"src":70508,"alt":70509,"width":77},"/media/image62.png","不可靠度的似然比置信限",[21,70511,58487,70512,70562],{},[120,70513,70515,70532],{"className":70514},[123],[120,70516,70518],{"className":70517},[127],[129,70519,70520],{"xmlns":131},[133,70521,70522,70530],{},[136,70523,70524,70526,70528],{},[139,70525,149],{},[143,70527,358],{},[360,70529,38771],{},[154,70531,58612],{"encoding":156},[120,70533,70535,70553],{"className":70534,"ariaHidden":162},[161],[120,70536,70538,70541,70544,70547,70550],{"className":70537},[166],[120,70539],{"className":70540,"style":231},[170],[120,70542,149],{"className":70543},[175,176],[120,70545],{"className":70546,"style":399},[398],[120,70548,358],{"className":70549},[403],[120,70551],{"className":70552,"style":399},[398],[120,70554,70556,70559],{"className":70555},[166],[120,70557],{"className":70558,"style":447},[170],[120,70560,38771],{"className":70561},[175]," 处得到不可靠度 Q 的 90% 置信区间。对不同时间重复计算并叠加在概率图上，所得结果与时间的似然比置信限相同，因此这里不再重复。",[13,70564,70565],{"id":70565},"复现数据分析",[17,70567,19],{"id":70568},"简介-1",[21,70570,70571],{},"寿命数据分析关注只经历一次失效的系统，记录其失效时间或当前未失效年龄；复现数据分析（Recurring Data Analysis，RDA）则处理系统随时间可能多次失效的情况。它特别适用于可修复系统，需要分析失效趋势和可靠性随时间变化的场景。",[21,70573,70574],{},[37,70575,70576],{},"使用 NHPP 模型的动机",[21,70578,70579],{},"从可靠性角度看，非齐次泊松过程（Non-Homogeneous Poisson Process，NHPP）适用于分析可修复系统，主要用途包括：",[6121,70581,70582,70585,70588],{},[103,70583,70584],{},"识别系统失效强度的变化趋势。",[103,70586,70587],{},"支持维修和大修决策。",[103,70589,70590],{},"为可靠性仿真和 RAM 研究中的数字孪生分析提供统计模型，例如应用于 AeROS。",[17,70592,70594],{"id":70593},"幂律-nhpp","幂律 NHPP",[21,70596,70597,70600],{},[37,70598,70599],{},"幂律非齐次泊松过程","常用于描述可修复系统。它能够表示系统随时间改善（例如开发过程中的系统）或恶化（例如现场运行系统）的情况。",[31,70602,70604],{"id":70603},"nhpp-假设","NHPP 假设",[6121,70606,70607,70610,70613],{},[103,70608,70609],{},"修复使系统恢复至“与故障前一样差”的状态，即最小修复。",[103,70611,70612],{},"首次失效时间服从威布尔分布。",[103,70614,70615],{},"系统具有无限多个潜在失效模式。",[31,70617,70618],{"id":70618},"统计表达",[21,70620,70621,70622,70650,70651,70679],{},"对于在给定时间区间内期望发生 ",[120,70623,70625,70638],{"className":70624},[123],[120,70626,70628],{"className":70627},[127],[129,70629,70630],{"xmlns":131},[133,70631,70632,70636],{},[136,70633,70634],{},[139,70635,1442],{},[154,70637,3745],{"encoding":156},[120,70639,70641],{"className":70640,"ariaHidden":162},[161],[120,70642,70644,70647],{"className":70643},[166],[120,70645],{"className":70646,"style":3755},[170],[120,70648,1442],{"className":70649},[175,176]," 次事件的泊松分布，观察到 ",[120,70652,70654,70667],{"className":70653},[123],[120,70655,70657],{"className":70656},[127],[129,70658,70659],{"xmlns":131},[133,70660,70661,70665],{},[136,70662,70663],{},[139,70664,9521],{},[154,70666,9521],{"encoding":156},[120,70668,70670],{"className":70669,"ariaHidden":162},[161],[120,70671,70673,70676],{"className":70672},[166],[120,70674],{"className":70675,"style":10900},[170],[120,70677,9521],{"className":70678},[175,176]," 次事件的概率为：",[21,70681,70682],{},[120,70683,70685,70738],{"className":70684},[123],[120,70686,70688],{"className":70687},[127],[129,70689,70690],{"xmlns":131},[133,70691,70692,70735],{},[136,70693,70694,70696,70698,70700,70702,70704,70706,70708],{},[139,70695,641],{},[143,70697,3855],{"stretchy":145},[139,70699,1628],{},[143,70701,358],{},[139,70703,9521],{},[143,70705,3874],{"stretchy":145},[143,70707,358],{},[1043,70709,70710,70728],{},[136,70711,70712,70718],{},[3621,70713,70714,70716],{},[139,70715,1442],{},[139,70717,9521],{},[3621,70719,70720,70722],{},[139,70721,3629],{},[136,70723,70724,70726],{},[143,70725,669],{},[139,70727,1442],{},[136,70729,70730,70732],{},[139,70731,9521],{},[143,70733,70734],{"stretchy":145},"!",[154,70736,70737],{"encoding":156},"P\\lbrack N = n\\rbrack = \\frac{\\lambda^{n}e^{- \\lambda}}{n!}",[120,70739,70741,70765,70786],{"className":70740,"ariaHidden":162},[161],[120,70742,70744,70747,70750,70753,70756,70759,70762],{"className":70743},[166],[120,70745],{"className":70746,"style":171},[170],[120,70748,641],{"className":70749,"style":275},[175,176],[120,70751,3855],{"className":70752},[181],[120,70754,1628],{"className":70755,"style":1859},[175,176],[120,70757],{"className":70758,"style":399},[398],[120,70760,358],{"className":70761},[403],[120,70763],{"className":70764,"style":399},[398],[120,70766,70768,70771,70774,70777,70780,70783],{"className":70767},[166],[120,70769],{"className":70770,"style":171},[170],[120,70772,9521],{"className":70773},[175,176],[120,70775,3874],{"className":70776},[188],[120,70778],{"className":70779,"style":399},[398],[120,70781,358],{"className":70782},[403],[120,70784],{"className":70785,"style":399},[398],[120,70787,70789,70793],{"className":70788},[166],[120,70790],{"className":70791,"style":70792},[170],"height:1.3879em;vertical-align:-0.345em;",[120,70794,70796,70799,70926],{"className":70795},[175],[120,70797],{"className":70798},[181,1113],[120,70800,70802],{"className":70801},[1043],[120,70803,70805,70918],{"className":70804},[726,727],[120,70806,70808,70915],{"className":70807},[731],[120,70809,70812,70829,70837],{"className":70810,"style":70811},[735],"height:1.0429em;",[120,70813,70814,70817],{"style":1129},[120,70815],{"className":70816,"style":1133},[743],[120,70818,70820],{"className":70819},[748,749,750,751],[120,70821,70823,70826],{"className":70822},[175,751],[120,70824,9521],{"className":70825},[175,176,751],[120,70827,70734],{"className":70828},[188,751],[120,70830,70831,70834],{"style":1148},[120,70832],{"className":70833,"style":1133},[743],[120,70835],{"className":70836,"style":1156},[1155],[120,70838,70839,70842],{"style":1879},[120,70840],{"className":70841,"style":1133},[743],[120,70843,70845],{"className":70844},[748,749,750,751],[120,70846,70848,70880],{"className":70847},[175,751],[120,70849,70851,70854],{"className":70850},[175,751],[120,70852,1442],{"className":70853},[175,176,751],[120,70855,70857],{"className":70856},[722],[120,70858,70860],{"className":70859},[726],[120,70861,70863],{"className":70862},[731],[120,70864,70866],{"className":70865,"style":30009},[735],[120,70867,70868,70871],{"style":15313},[120,70869],{"className":70870,"style":954},[743],[120,70872,70874],{"className":70873},[748,958,959,751],[120,70875,70877],{"className":70876},[175,751],[120,70878,9521],{"className":70879},[175,176,751],[120,70881,70883,70886],{"className":70882},[175,751],[120,70884,3629],{"className":70885},[175,176,751],[120,70887,70889],{"className":70888},[722],[120,70890,70892],{"className":70891},[726],[120,70893,70895],{"className":70894},[731],[120,70896,70898],{"className":70897,"style":23515},[735],[120,70899,70900,70903],{"style":15313},[120,70901],{"className":70902,"style":954},[743],[120,70904,70906],{"className":70905},[748,958,959,751],[120,70907,70909,70912],{"className":70908},[175,751],[120,70910,669],{"className":70911},[175,751],[120,70913,1442],{"className":70914},[175,176,751],[120,70916,762],{"className":70917},[761],[120,70919,70921],{"className":70920},[731],[120,70922,70924],{"className":70923,"style":1197},[735],[120,70925],{},[120,70927],{"className":70928},[188,1113],[21,70930,70931,70932,70960],{},"若 ",[120,70933,70935,70948],{"className":70934},[123],[120,70936,70938],{"className":70937},[127],[129,70939,70940],{"xmlns":131},[133,70941,70942,70946],{},[136,70943,70944],{},[139,70945,1442],{},[154,70947,3745],{"encoding":156},[120,70949,70951],{"className":70950,"ariaHidden":162},[161],[120,70952,70954,70957],{"className":70953},[166],[120,70955],{"className":70956,"style":3755},[170],[120,70958,1442],{"className":70959},[175,176]," 为常数，该过程称为齐次泊松过程。若累积失效函数（均值函数）随时间服从幂律：",[21,70962,70963],{},[120,70964,70966,71004],{"className":70965},[123],[120,70967,70969],{"className":70968},[127],[129,70970,70971],{"xmlns":131},[133,70972,70973,71001],{},[136,70974,70975,70977,70979,70981,70983,70985,70991],{},[139,70976,36607],{"mathvariant":672},[143,70978,146],{"stretchy":145},[139,70980,149],{},[143,70982,152],{"stretchy":145},[143,70984,358],{},[3081,70986,70987,70989],{"accent":162},[139,70988,1442],{},[143,70990,42228],{"stretchy":162},[3621,70992,70993,70995],{},[139,70994,149],{},[3081,70996,70997,70999],{"accent":162},[139,70998,5525],{},[143,71000,42228],{"stretchy":162},[154,71002,71003],{"encoding":156},"\\Lambda(t) = \\widehat{\\lambda}t^{\\widehat{\\beta}}",[120,71005,71007,71034],{"className":71006,"ariaHidden":162},[161],[120,71008,71010,71013,71016,71019,71022,71025,71028,71031],{"className":71009},[166],[120,71011],{"className":71012,"style":171},[170],[120,71014,36607],{"className":71015},[175],[120,71017,146],{"className":71018},[181],[120,71020,149],{"className":71021},[175,176],[120,71023,152],{"className":71024},[188],[120,71026],{"className":71027,"style":399},[398],[120,71029,358],{"className":71030},[403],[120,71032],{"className":71033,"style":399},[398],[120,71035,71037,71041,71074],{"className":71036},[166],[120,71038],{"className":71039,"style":71040},[170],"height:1.0171em;",[120,71042,71044],{"className":71043},[175,3378],[120,71045,71047],{"className":71046},[726],[120,71048,71050],{"className":71049},[731],[120,71051,71053,71061],{"className":71052,"style":42254},[735],[120,71054,71055,71058],{"style":3116},[120,71056],{"className":71057,"style":1133},[743],[120,71059,1442],{"className":71060},[175,176],[120,71062,71065,71068],{"className":71063,"style":71064},[10529],"top:-3.6944em;",[120,71066],{"className":71067,"style":1133},[743],[120,71069,71070],{"style":42272},[10555,71071,71072],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,71073],{"d":42281},[120,71075,71077,71080],{"className":71076},[175],[120,71078,149],{"className":71079},[175,176],[120,71081,71083],{"className":71082},[722],[120,71084,71086],{"className":71085},[726],[120,71087,71089],{"className":71088},[731],[120,71090,71092],{"className":71091,"style":71040},[735],[120,71093,71094,71097],{"style":9686},[120,71095],{"className":71096,"style":744},[743],[120,71098,71100],{"className":71099},[748,749,750,751],[120,71101,71103],{"className":71102},[175,751],[120,71104,71106],{"className":71105},[175,3378,751],[120,71107,71109,71139],{"className":71108},[726,727],[120,71110,71112,71136],{"className":71111},[731],[120,71113,71115,71123],{"className":71114,"style":42254},[735],[120,71116,71117,71120],{"style":19224},[120,71118],{"className":71119,"style":744},[743],[120,71121,5525],{"className":71122,"style":5542},[175,176,751],[120,71124,71126,71129],{"className":71125,"style":47435},[10529],[120,71127],{"className":71128,"style":744},[743],[120,71130,71132],{"className":71131,"style":42272},[751],[10555,71133,71134],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,71135],{"d":42281},[120,71137,762],{"className":71138},[761],[120,71140,71142],{"className":71141},[731],[120,71143,71145],{"className":71144,"style":30158},[735],[120,71146],{},[21,71148,71149,71150,71194],{},"则失效强度为 ",[120,71151,71153,71173],{"className":71152},[123],[120,71154,71156],{"className":71155},[127],[129,71157,71158],{"xmlns":131},[133,71159,71160,71170],{},[136,71161,71162,71164,71166,71168],{},[139,71163,36607],{"mathvariant":672},[143,71165,146],{"stretchy":145},[139,71167,149],{},[143,71169,152],{"stretchy":145},[154,71171,71172],{"encoding":156},"\\Lambda(t)",[120,71174,71176],{"className":71175,"ariaHidden":162},[161],[120,71177,71179,71182,71185,71188,71191],{"className":71178},[166],[120,71180],{"className":71181,"style":171},[170],[120,71183,36607],{"className":71184},[175],[120,71186,146],{"className":71187},[181],[120,71189,149],{"className":71190},[175,176],[120,71192,152],{"className":71193},[188]," 对时间的导数：",[21,71196,71197],{},[120,71198,71200,71238],{"className":71199},[123],[120,71201,71203],{"className":71202},[127],[129,71204,71205],{"xmlns":131},[133,71206,71207,71235],{},[136,71208,71209,71211,71213,71215,71217,71219,71221,71223],{},[139,71210,53744],{},[143,71212,146],{"stretchy":145},[139,71214,149],{},[143,71216,152],{"stretchy":145},[143,71218,358],{},[139,71220,1442],{},[139,71222,5525],{},[3621,71224,71225,71227],{},[139,71226,149],{},[136,71228,71229,71231,71233],{},[139,71230,5525],{},[143,71232,669],{},[360,71234,1294],{},[154,71236,71237],{"encoding":156},"u(t) = \\lambda\\beta t^{\\beta - 1}",[120,71239,71241,71268],{"className":71240,"ariaHidden":162},[161],[120,71242,71244,71247,71250,71253,71256,71259,71262,71265],{"className":71243},[166],[120,71245],{"className":71246,"style":171},[170],[120,71248,53744],{"className":71249},[175,176],[120,71251,146],{"className":71252},[181],[120,71254,149],{"className":71255},[175,176],[120,71257,152],{"className":71258},[188],[120,71260],{"className":71261,"style":399},[398],[120,71263,358],{"className":71264},[403],[120,71266],{"className":71267,"style":399},[398],[120,71269,71271,71275,71278,71281],{"className":71270},[166],[120,71272],{"className":71273,"style":71274},[170],"height:1.0435em;vertical-align:-0.1944em;",[120,71276,1442],{"className":71277},[175,176],[120,71279,5525],{"className":71280,"style":5542},[175,176],[120,71282,71284,71287],{"className":71283},[175],[120,71285,149],{"className":71286},[175,176],[120,71288,71290],{"className":71289},[722],[120,71291,71293],{"className":71292},[726],[120,71294,71296],{"className":71295},[731],[120,71297,71299],{"className":71298,"style":20194},[735],[120,71300,71301,71304],{"style":9686},[120,71302],{"className":71303,"style":744},[743],[120,71305,71307],{"className":71306},[748,749,750,751],[120,71308,71310,71313,71316],{"className":71309},[175,751],[120,71311,5525],{"className":71312,"style":5542},[175,176,751],[120,71314,669],{"className":71315},[1356,751],[120,71317,1294],{"className":71318},[175,751],[21,71320,71321,71322,71365,71366,71394],{},"随机变量 ",[120,71323,71325,71344],{"className":71324},[123],[120,71326,71328],{"className":71327},[127],[129,71329,71330],{"xmlns":131},[133,71331,71332,71342],{},[136,71333,71334,71336,71338,71340],{},[139,71335,1628],{},[143,71337,146],{"stretchy":145},[139,71339,149],{},[143,71341,152],{"stretchy":145},[154,71343,2367],{"encoding":156},[120,71345,71347],{"className":71346,"ariaHidden":162},[161],[120,71348,71350,71353,71356,71359,71362],{"className":71349},[166],[120,71351],{"className":71352,"style":171},[170],[120,71354,1628],{"className":71355,"style":1859},[175,176],[120,71357,146],{"className":71358},[181],[120,71360,149],{"className":71361},[175,176],[120,71363,152],{"className":71364},[188]," 等于 ",[120,71367,71369,71382],{"className":71368},[123],[120,71370,71372],{"className":71371},[127],[129,71373,71374],{"xmlns":131},[133,71375,71376,71380],{},[136,71377,71378],{},[139,71379,9521],{},[154,71381,9521],{"encoding":156},[120,71383,71385],{"className":71384,"ariaHidden":162},[161],[120,71386,71388,71391],{"className":71387},[166],[120,71389],{"className":71390,"style":10900},[170],[120,71392,9521],{"className":71393},[175,176]," 的概率为：",[21,71396,71397],{},[120,71398,71400,71478],{"className":71399},[123],[120,71401,71403],{"className":71402},[127],[129,71404,71405],{"xmlns":131},[133,71406,71407,71475],{},[136,71408,71409,71411,71429,71431],{},[139,71410,641],{},[136,71412,71413,71415,71417,71419,71421,71423,71425,71427],{},[143,71414,3855],{"fence":162},[139,71416,1628],{},[143,71418,146],{"stretchy":145},[139,71420,149],{},[143,71422,152],{"stretchy":145},[143,71424,358],{},[139,71426,9521],{},[143,71428,3874],{"fence":162},[143,71430,358],{},[1043,71432,71433,71469],{},[136,71434,71435,71453],{},[3621,71436,71437,71451],{},[136,71438,71439,71441,71443,71445,71447,71449],{},[143,71440,146],{"fence":162},[139,71442,36607],{"mathvariant":672},[143,71444,146],{"stretchy":145},[139,71446,149],{},[143,71448,152],{"stretchy":145},[143,71450,152],{"fence":162},[139,71452,9521],{},[3621,71454,71455,71457],{},[139,71456,3629],{},[136,71458,71459,71461,71463,71465,71467],{},[143,71460,669],{},[139,71462,36607],{"mathvariant":672},[143,71464,146],{"stretchy":145},[139,71466,149],{},[143,71468,152],{"stretchy":145},[136,71470,71471,71473],{},[139,71472,9521],{},[143,71474,70734],{"stretchy":145},[154,71476,71477],{"encoding":156},"P\\left\\lbrack N(t) = n \\right\\rbrack = \\frac{\\left( \\Lambda(t) \\right)^{n}e^{- \\Lambda(t)}}{n!}",[120,71479,71481,71535],{"className":71480,"ariaHidden":162},[161],[120,71482,71484,71487,71490,71493,71526,71529,71532],{"className":71483},[166],[120,71485],{"className":71486,"style":171},[170],[120,71488,641],{"className":71489,"style":275},[175,176],[120,71491],{"className":71492,"style":993},[398],[120,71494,71496,71499,71502,71505,71508,71511,71514,71517,71520,71523],{"className":71495},[2781],[120,71497,3855],{"className":71498,"style":2786},[181,2785],[120,71500,1628],{"className":71501,"style":1859},[175,176],[120,71503,146],{"className":71504},[181],[120,71506,149],{"className":71507},[175,176],[120,71509,152],{"className":71510},[188],[120,71512],{"className":71513,"style":399},[398],[120,71515,358],{"className":71516},[403],[120,71518],{"className":71519,"style":399},[398],[120,71521,9521],{"className":71522},[175,176],[120,71524,3874],{"className":71525,"style":2786},[188,2785],[120,71527],{"className":71528,"style":399},[398],[120,71530,358],{"className":71531},[403],[120,71533],{"className":71534,"style":399},[398],[120,71536,71538,71542],{"className":71537},[166],[120,71539],{"className":71540,"style":71541},[170],"height:1.5067em;vertical-align:-0.345em;",[120,71543,71545,71548,71711],{"className":71544},[175],[120,71546],{"className":71547},[181,1113],[120,71549,71551],{"className":71550},[1043],[120,71552,71554,71703],{"className":71553},[726,727],[120,71555,71557,71700],{"className":71556},[731],[120,71558,71561,71578,71586],{"className":71559,"style":71560},[735],"height:1.1617em;",[120,71562,71563,71566],{"style":1129},[120,71564],{"className":71565,"style":1133},[743],[120,71567,71569],{"className":71568},[748,749,750,751],[120,71570,71572,71575],{"className":71571},[175,751],[120,71573,9521],{"className":71574},[175,176,751],[120,71576,70734],{"className":71577},[188,751],[120,71579,71580,71583],{"style":1148},[120,71581],{"className":71582,"style":1133},[743],[120,71584],{"className":71585,"style":1156},[1155],[120,71587,71588,71591],{"style":1159},[120,71589],{"className":71590,"style":1133},[743],[120,71592,71594],{"className":71593},[748,749,750,751],[120,71595,71597,71653],{"className":71596},[175,751],[120,71598,71600,71627],{"className":71599},[2781,751],[120,71601,71603,71609,71612,71615,71618,71621],{"className":71602},[2781,751],[120,71604,71606],{"className":71605,"style":2786},[181,751,2785],[120,71607,146],{"className":71608},[751],[120,71610,36607],{"className":71611},[175,751],[120,71613,146],{"className":71614},[181,751],[120,71616,149],{"className":71617},[175,176,751],[120,71619,152],{"className":71620},[188,751],[120,71622,71624],{"className":71623,"style":2786},[188,751,2785],[120,71625,152],{"className":71626},[751],[120,71628,71630],{"className":71629},[722],[120,71631,71633],{"className":71632},[726],[120,71634,71636],{"className":71635},[731],[120,71637,71639],{"className":71638,"style":30009},[735],[120,71640,71641,71644],{"style":15313},[120,71642],{"className":71643,"style":954},[743],[120,71645,71647],{"className":71646},[748,958,959,751],[120,71648,71650],{"className":71649},[175,751],[120,71651,9521],{"className":71652},[175,176,751],[120,71654,71656,71659],{"className":71655},[175,751],[120,71657,3629],{"className":71658},[175,176,751],[120,71660,71662],{"className":71661},[722],[120,71663,71665],{"className":71664},[726],[120,71666,71668],{"className":71667},[731],[120,71669,71672],{"className":71670,"style":71671},[735],"height:0.9667em;",[120,71673,71675,71679],{"style":71674},"top:-2.9667em;margin-right:0.0714em;",[120,71676],{"className":71677,"style":71678},[743],"height:2.5357em;",[120,71680,71682],{"className":71681},[748,958,959,751],[120,71683,71685,71688,71691,71694,71697],{"className":71684},[175,751],[120,71686,669],{"className":71687},[175,751],[120,71689,36607],{"className":71690},[175,751],[120,71692,146],{"className":71693},[181,751],[120,71695,149],{"className":71696},[175,176,751],[120,71698,152],{"className":71699},[188,751],[120,71701,762],{"className":71702},[761],[120,71704,71706],{"className":71705},[731],[120,71707,71709],{"className":71708,"style":1197},[735],[120,71710],{},[120,71712],{"className":71713},[188,1113],[21,71715,71716],{},"这里使用“失效强度”而不是“失效率”，以区别于寿命数据分析中的用法。",[31,71718,71719],{"id":71719},"存活概率与重新参数化",[21,71721,71722,71723,71751,71752,71780,71781,71833,71834,71888],{},"年龄为 ",[120,71724,71726,71739],{"className":71725},[123],[120,71727,71729],{"className":71728},[127],[129,71730,71731],{"xmlns":131},[133,71732,71733,71737],{},[136,71734,71735],{},[139,71736,149],{},[154,71738,149],{"encoding":156},[120,71740,71742],{"className":71741,"ariaHidden":162},[161],[120,71743,71745,71748],{"className":71744},[166],[120,71746],{"className":71747,"style":231},[170],[120,71749,149],{"className":71750},[175,176]," 的系统在随后 ",[120,71753,71755,71768],{"className":71754},[123],[120,71756,71758],{"className":71757},[127],[129,71759,71760],{"xmlns":131},[133,71761,71762,71766],{},[136,71763,71764],{},[139,71765,692],{},[154,71767,692],{"encoding":156},[120,71769,71771],{"className":71770,"ariaHidden":162},[161],[120,71772,71774,71777],{"className":71773},[166],[120,71775],{"className":71776,"style":3755},[170],[120,71778,692],{"className":71779},[175,176]," 时间内不发生失效并存活至 ",[120,71782,71784,71802],{"className":71783},[123],[120,71785,71787],{"className":71786},[127],[129,71788,71789],{"xmlns":131},[133,71790,71791,71799],{},[136,71792,71793,71795,71797],{},[139,71794,149],{},[143,71796,2646],{},[139,71798,692],{},[154,71800,71801],{"encoding":156},"t+d",[120,71803,71805,71824],{"className":71804,"ariaHidden":162},[161],[120,71806,71808,71812,71815,71818,71821],{"className":71807},[166],[120,71809],{"className":71810,"style":71811},[170],"height:0.6984em;vertical-align:-0.0833em;",[120,71813,149],{"className":71814},[175,176],[120,71816],{"className":71817,"style":1352},[398],[120,71819,2646],{"className":71820},[1356],[120,71822],{"className":71823,"style":1352},[398],[120,71825,71827,71830],{"className":71826},[166],[120,71828],{"className":71829,"style":3755},[170],[120,71831,692],{"className":71832},[175,176]," 的概率 ",[120,71835,71837,71861],{"className":71836},[123],[120,71838,71840],{"className":71839},[127],[129,71841,71842],{"xmlns":131},[133,71843,71844,71858],{},[136,71845,71846,71848,71850,71852,71854,71856],{},[139,71847,1283],{},[143,71849,146],{"stretchy":145},[139,71851,692],{},[139,71853,2520],{"mathvariant":672},[139,71855,149],{},[143,71857,152],{"stretchy":145},[154,71859,71860],{"encoding":156},"R(d/t)",[120,71862,71864],{"className":71863,"ariaHidden":162},[161],[120,71865,71867,71870,71873,71876,71879,71882,71885],{"className":71866},[166],[120,71868],{"className":71869,"style":171},[170],[120,71871,1283],{"className":71872,"style":1320},[175,176],[120,71874,146],{"className":71875},[181],[120,71877,692],{"className":71878},[175,176],[120,71880,2520],{"className":71881},[175],[120,71883,149],{"className":71884},[175,176],[120,71886,152],{"className":71887},[188]," 为：",[21,71890,71891],{},[120,71892,71894,71962],{"className":71893},[123],[120,71895,71897],{"className":71896},[127],[129,71898,71899],{"xmlns":131},[133,71900,71901,71959],{},[136,71902,71903,71905,71907,71909,71911,71913,71915,71917],{},[139,71904,1283],{},[143,71906,146],{"stretchy":145},[139,71908,692],{},[139,71910,2520],{"mathvariant":672},[139,71912,149],{},[143,71914,152],{"stretchy":145},[143,71916,358],{},[3621,71918,71919,71921],{},[139,71920,3629],{},[136,71922,71923,71925],{},[143,71924,669],{},[136,71926,71927,71929,71947,71949,71951,71957],{},[143,71928,3855],{"fence":162},[3621,71930,71931,71945],{},[136,71932,71933,71935,71937,71939,71941,71943],{},[139,71934,1442],{},[143,71936,146],{"stretchy":145},[139,71938,149],{},[143,71940,2646],{},[139,71942,692],{},[143,71944,152],{"stretchy":145},[139,71946,5525],{},[143,71948,669],{},[139,71950,1442],{},[3621,71952,71953,71955],{},[139,71954,149],{},[139,71956,5525],{},[143,71958,3874],{"fence":162},[154,71960,71961],{"encoding":156},"R(d/t) = e^{- \\left\\lbrack {\\lambda(t + d)}^{\\beta} - \\lambda t^{\\beta} \\right\\rbrack}",[120,71963,71965,71998],{"className":71964,"ariaHidden":162},[161],[120,71966,71968,71971,71974,71977,71980,71983,71986,71989,71992,71995],{"className":71967},[166],[120,71969],{"className":71970,"style":171},[170],[120,71972,1283],{"className":71973,"style":1320},[175,176],[120,71975,146],{"className":71976},[181],[120,71978,692],{"className":71979},[175,176],[120,71981,2520],{"className":71982},[175],[120,71984,149],{"className":71985},[175,176],[120,71987,152],{"className":71988},[188],[120,71990],{"className":71991,"style":399},[398],[120,71993,358],{"className":71994},[403],[120,71996],{"className":71997,"style":399},[398],[120,71999,72001,72005],{"className":72000},[166],[120,72002],{"className":72003,"style":72004},[170],"height:1.1078em;",[120,72006,72008,72011],{"className":72007},[175],[120,72009,3629],{"className":72010},[175,176],[120,72012,72014],{"className":72013},[722],[120,72015,72017],{"className":72016},[726],[120,72018,72020],{"className":72019},[731],[120,72021,72023],{"className":72022,"style":72004},[735],[120,72024,72025,72028],{"style":10636},[120,72026],{"className":72027,"style":1133},[743],[120,72029,72031],{"className":72030},[748,749,750,751],[120,72032,72034,72037],{"className":72033},[175,751],[120,72035,669],{"className":72036},[175,751],[120,72038,72040,72046,72096,72099,72102,72134],{"className":72039},[2781,751],[120,72041,72043],{"className":72042,"style":5942},[181,748,958,5941,751,2785],[120,72044,3855],{"className":72045},[751],[120,72047,72049,72070],{"className":72048},[175,751],[120,72050,72052,72055,72058,72061,72064,72067],{"className":72051},[175,751],[120,72053,1442],{"className":72054},[175,176,751],[120,72056,146],{"className":72057},[181,751],[120,72059,149],{"className":72060},[175,176,751],[120,72062,2646],{"className":72063},[1356,751],[120,72065,692],{"className":72066},[175,176,751],[120,72068,152],{"className":72069},[188,751],[120,72071,72073],{"className":72072},[722],[120,72074,72076],{"className":72075},[726],[120,72077,72079],{"className":72078},[731],[120,72080,72082],{"className":72081,"style":23515},[735],[120,72083,72084,72087],{"style":15313},[120,72085],{"className":72086,"style":954},[743],[120,72088,72090],{"className":72089},[748,958,959,751],[120,72091,72093],{"className":72092},[175,751],[120,72094,5525],{"className":72095,"style":5542},[175,176,751],[120,72097,669],{"className":72098},[1356,751],[120,72100,1442],{"className":72101},[175,176,751],[120,72103,72105,72108],{"className":72104},[175,751],[120,72106,149],{"className":72107},[175,176,751],[120,72109,72111],{"className":72110},[722],[120,72112,72114],{"className":72113},[726],[120,72115,72117],{"className":72116},[731],[120,72118,72120],{"className":72119,"style":23515},[735],[120,72121,72122,72125],{"style":15313},[120,72123],{"className":72124,"style":954},[743],[120,72126,72128],{"className":72127},[748,958,959,751],[120,72129,72131],{"className":72130},[175,751],[120,72132,5525],{"className":72133,"style":5542},[175,176,751],[120,72135,72137],{"className":72136,"style":5942},[188,748,958,5941,751,2785],[120,72138,3874],{"className":72139},[751],[21,72141,72142],{},"若把强度函数重新参数化为威布尔失效率函数：",[21,72144,72145],{},[120,72146,72148,72198],{"className":72147},[123],[120,72149,72151],{"className":72150},[127],[129,72152,72153],{"xmlns":131},[133,72154,72155,72195],{},[136,72156,72157,72159,72161,72163,72165,72167,72173],{},[139,72158,53744],{},[143,72160,146],{"stretchy":145},[139,72162,149],{},[143,72164,152],{"stretchy":145},[143,72166,358],{},[1043,72168,72169,72171],{},[139,72170,5525],{},[139,72172,5580],{},[3621,72174,72175,72187],{},[136,72176,72177,72179,72185],{},[143,72178,146],{"fence":162},[1043,72180,72181,72183],{},[139,72182,149],{},[139,72184,5580],{},[143,72186,152],{"fence":162},[136,72188,72189,72191,72193],{},[139,72190,5525],{},[143,72192,669],{},[360,72194,1294],{},[154,72196,72197],{"encoding":156},"u(t) = \\frac{\\beta}{\\eta}\\left( \\frac{t}{\\eta} \\right)^{\\beta - 1}",[120,72199,72201,72228],{"className":72200,"ariaHidden":162},[161],[120,72202,72204,72207,72210,72213,72216,72219,72222,72225],{"className":72203},[166],[120,72205],{"className":72206,"style":171},[170],[120,72208,53744],{"className":72209},[175,176],[120,72211,146],{"className":72212},[181],[120,72214,149],{"className":72215},[175,176],[120,72217,152],{"className":72218},[188],[120,72220],{"className":72221,"style":399},[398],[120,72223,358],{"className":72224},[403],[120,72226],{"className":72227,"style":399},[398],[120,72229,72231,72234,72302,72305],{"className":72230},[166],[120,72232],{"className":72233,"style":5696},[170],[120,72235,72237,72240,72299],{"className":72236},[175],[120,72238],{"className":72239},[181,1113],[120,72241,72243],{"className":72242},[1043],[120,72244,72246,72291],{"className":72245},[726,727],[120,72247,72249,72288],{"className":72248},[731],[120,72250,72252,72266,72274],{"className":72251,"style":5715},[735],[120,72253,72254,72257],{"style":1129},[120,72255],{"className":72256,"style":1133},[743],[120,72258,72260],{"className":72259},[748,749,750,751],[120,72261,72263],{"className":72262},[175,751],[120,72264,5580],{"className":72265,"style":5677},[175,176,751],[120,72267,72268,72271],{"style":1148},[120,72269],{"className":72270,"style":1133},[743],[120,72272],{"className":72273,"style":1156},[1155],[120,72275,72276,72279],{"style":5740},[120,72277],{"className":72278,"style":1133},[743],[120,72280,72282],{"className":72281},[748,749,750,751],[120,72283,72285],{"className":72284},[175,751],[120,72286,5525],{"className":72287,"style":5542},[175,176,751],[120,72289,762],{"className":72290},[761],[120,72292,72294],{"className":72293},[731],[120,72295,72297],{"className":72296,"style":5762},[735],[120,72298],{},[120,72300],{"className":72301},[188,1113],[120,72303],{"className":72304,"style":993},[398],[120,72306,72308,72391],{"className":72307},[2781],[120,72309,72311,72317,72385],{"className":72310},[2781],[120,72312,72314],{"className":72313,"style":2786},[181,2785],[120,72315,146],{"className":72316},[2790,3472],[120,72318,72320,72323,72382],{"className":72319},[175],[120,72321],{"className":72322},[181,1113],[120,72324,72326],{"className":72325},[1043],[120,72327,72329,72374],{"className":72328},[726,727],[120,72330,72332,72371],{"className":72331},[731],[120,72333,72335,72349,72357],{"className":72334,"style":5801},[735],[120,72336,72337,72340],{"style":1129},[120,72338],{"className":72339,"style":1133},[743],[120,72341,72343],{"className":72342},[748,749,750,751],[120,72344,72346],{"className":72345},[175,751],[120,72347,5580],{"className":72348,"style":5677},[175,176,751],[120,72350,72351,72354],{"style":1148},[120,72352],{"className":72353,"style":1133},[743],[120,72355],{"className":72356,"style":1156},[1155],[120,72358,72359,72362],{"style":1879},[120,72360],{"className":72361,"style":1133},[743],[120,72363,72365],{"className":72364},[748,749,750,751],[120,72366,72368],{"className":72367},[175,751],[120,72369,149],{"className":72370},[175,176,751],[120,72372,762],{"className":72373},[761],[120,72375,72377],{"className":72376},[731],[120,72378,72380],{"className":72379,"style":5762},[735],[120,72381],{},[120,72383],{"className":72384},[188,1113],[120,72386,72388],{"className":72387,"style":2786},[188,2785],[120,72389,152],{"className":72390},[2790,3472],[120,72392,72394],{"className":72393},[722],[120,72395,72397],{"className":72396},[726],[120,72398,72400],{"className":72399},[731],[120,72401,72403],{"className":72402,"style":5870},[735],[120,72404,72405,72408],{"style":5873},[120,72406],{"className":72407,"style":744},[743],[120,72409,72411],{"className":72410},[748,749,750,751],[120,72412,72414,72417,72420],{"className":72413},[175,751],[120,72415,5525],{"className":72416,"style":5542},[175,176,751],[120,72418,669],{"className":72419},[1356,751],[120,72421,1294],{"className":72422},[175,751],[21,72424,59263],{},[21,72426,72427],{},[120,72428,72430,72466],{"className":72429},[123],[120,72431,72433],{"className":72432},[127],[129,72434,72435],{"xmlns":131},[133,72436,72437,72463],{},[136,72438,72439,72441,72443],{},[139,72440,5580],{},[143,72442,358],{},[3621,72444,72445,72457],{},[136,72446,72447,72449,72455],{},[143,72448,146],{"fence":162},[1043,72450,72451,72453],{},[360,72452,1294],{},[139,72454,1442],{},[143,72456,152],{"fence":162},[1043,72458,72459,72461],{},[360,72460,1294],{},[139,72462,5525],{},[154,72464,72465],{"encoding":156},"\\eta = \\left( \\frac{1}{\\lambda} \\right)^{\\frac{1}{\\beta}}",[120,72467,72469,72487],{"className":72468,"ariaHidden":162},[161],[120,72470,72472,72475,72478,72481,72484],{"className":72471},[166],[120,72473],{"className":72474,"style":6115},[170],[120,72476,5580],{"className":72477,"style":5677},[175,176],[120,72479],{"className":72480,"style":399},[398],[120,72482,358],{"className":72483},[403],[120,72485],{"className":72486,"style":399},[398],[120,72488,72490,72494],{"className":72489},[166],[120,72491],{"className":72492,"style":72493},[170],"height:1.5439em;vertical-align:-0.35em;",[120,72495,72497,72580],{"className":72496},[2781],[120,72498,72500,72506,72574],{"className":72499},[2781],[120,72501,72503],{"className":72502,"style":2786},[181,2785],[120,72504,146],{"className":72505},[2790,959],[120,72507,72509,72512,72571],{"className":72508},[175],[120,72510],{"className":72511},[181,1113],[120,72513,72515],{"className":72514},[1043],[120,72516,72518,72563],{"className":72517},[726,727],[120,72519,72521,72560],{"className":72520},[731],[120,72522,72524,72538,72546],{"className":72523,"style":9429},[735],[120,72525,72526,72529],{"style":1129},[120,72527],{"className":72528,"style":1133},[743],[120,72530,72532],{"className":72531},[748,749,750,751],[120,72533,72535],{"className":72534},[175,751],[120,72536,1442],{"className":72537},[175,176,751],[120,72539,72540,72543],{"style":1148},[120,72541],{"className":72542,"style":1133},[743],[120,72544],{"className":72545,"style":1156},[1155],[120,72547,72548,72551],{"style":1879},[120,72549],{"className":72550,"style":1133},[743],[120,72552,72554],{"className":72553},[748,749,750,751],[120,72555,72557],{"className":72556},[175,751],[120,72558,1294],{"className":72559},[175,751],[120,72561,762],{"className":72562},[761],[120,72564,72566],{"className":72565},[731],[120,72567,72569],{"className":72568,"style":1197},[735],[120,72570],{},[120,72572],{"className":72573},[188,1113],[120,72575,72577],{"className":72576,"style":2786},[188,2785],[120,72578,152],{"className":72579},[2790,959],[120,72581,72583],{"className":72582},[722],[120,72584,72586],{"className":72585},[726],[120,72587,72589],{"className":72588},[731],[120,72590,72593],{"className":72591,"style":72592},[735],"height:1.1939em;",[120,72594,72595,72598],{"style":5873},[120,72596],{"className":72597,"style":1133},[743],[120,72599,72601],{"className":72600},[748,749,750,751],[120,72602,72604],{"className":72603},[175,751],[120,72605,72607,72610,72669],{"className":72606},[175,751],[120,72608],{"className":72609},[181,1113,748,958,5941],[120,72611,72613],{"className":72612},[1043],[120,72614,72616,72661],{"className":72615},[726,727],[120,72617,72619,72658],{"className":72618},[731],[120,72620,72622,72636,72644],{"className":72621,"style":10269},[735],[120,72623,72624,72627],{"style":5967},[120,72625],{"className":72626,"style":1133},[743],[120,72628,72630],{"className":72629},[748,958,959,751],[120,72631,72633],{"className":72632},[175,751],[120,72634,5525],{"className":72635,"style":5542},[175,176,751],[120,72637,72638,72641],{"style":5982},[120,72639],{"className":72640,"style":1133},[743],[120,72642],{"className":72643,"style":5989},[1155,751],[120,72645,72646,72649],{"style":5992},[120,72647],{"className":72648,"style":1133},[743],[120,72650,72652],{"className":72651},[748,958,959,751],[120,72653,72655],{"className":72654},[175,751],[120,72656,1294],{"className":72657},[175,751],[120,72659,762],{"className":72660},[761],[120,72662,72664],{"className":72663},[731],[120,72665,72667],{"className":72666,"style":6014},[735],[120,72668],{},[120,72670],{"className":72671},[188,1113,748,958,5941],[21,72673,72674],{},"这进一步说明首次失效时间服从威布尔分布，而后续失效服从 NHPP 模型。",[17,72676,72678],{"id":72677},"nhpp-模型参数估计","NHPP 模型参数估计",[21,72680,72681,72682,6088,72710,72738,72739,72767,72768,72796,72797,72877,72878,72952,72953,73024,73025,73095,73096,73124,73125,73206,73207,73235],{},"为估计 NHPP 模型的 ",[120,72683,72685,72698],{"className":72684},[123],[120,72686,72688],{"className":72687},[127],[129,72689,72690],{"xmlns":131},[133,72691,72692,72696],{},[136,72693,72694],{},[139,72695,1442],{},[154,72697,3745],{"encoding":156},[120,72699,72701],{"className":72700,"ariaHidden":162},[161],[120,72702,72704,72707],{"className":72703},[166],[120,72705],{"className":72706,"style":3755},[170],[120,72708,1442],{"className":72709},[175,176],[120,72711,72713,72726],{"className":72712},[123],[120,72714,72716],{"className":72715},[127],[129,72717,72718],{"xmlns":131},[133,72719,72720,72724],{},[136,72721,72722],{},[139,72723,5525],{},[154,72725,5528],{"encoding":156},[120,72727,72729],{"className":72728,"ariaHidden":162},[161],[120,72730,72732,72735],{"className":72731},[166],[120,72733],{"className":72734,"style":5538},[170],[120,72736,5525],{"className":72737,"style":5542},[175,176],"，使用来自 ",[120,72740,72742,72755],{"className":72741},[123],[120,72743,72745],{"className":72744},[127],[129,72746,72747],{"xmlns":131},[133,72748,72749,72753],{},[136,72750,72751],{},[139,72752,19951],{},[154,72754,19951],{"encoding":156},[120,72756,72758],{"className":72757,"ariaHidden":162},[161],[120,72759,72761,72764],{"className":72760},[166],[120,72762],{"className":72763,"style":3755},[170],[120,72765,19951],{"className":72766,"style":20066},[175,176]," 个系统的失效数据。每个系统 ",[120,72769,72771,72784],{"className":72770},[123],[120,72772,72774],{"className":72773},[127],[129,72775,72776],{"xmlns":131},[133,72777,72778,72782],{},[136,72779,72780],{},[139,72781,19868],{},[154,72783,19868],{"encoding":156},[120,72785,72787],{"className":72786,"ariaHidden":162},[161],[120,72788,72790,72793],{"className":72789},[166],[120,72791],{"className":72792,"style":6115},[170],[120,72794,19868],{"className":72795,"style":5677},[175,176],"（",[120,72798,72800,72826],{"className":72799},[123],[120,72801,72803],{"className":72802},[127],[129,72804,72805],{"xmlns":131},[133,72806,72807,72823],{},[136,72808,72809,72811,72813,72815,72817,72819,72821],{},[139,72810,19868],{},[143,72812,358],{},[360,72814,1294],{},[143,72816,5577],{"separator":162},[143,72818,28924],{},[143,72820,5577],{"separator":162},[139,72822,19951],{},[154,72824,72825],{"encoding":156},"q=1,\\ldots,k",[120,72827,72829,72847],{"className":72828,"ariaHidden":162},[161],[120,72830,72832,72835,72838,72841,72844],{"className":72831},[166],[120,72833],{"className":72834,"style":6115},[170],[120,72836,19868],{"className":72837,"style":5677},[175,176],[120,72839],{"className":72840,"style":399},[398],[120,72842,358],{"className":72843},[403],[120,72845],{"className":72846,"style":399},[398],[120,72848,72850,72853,72856,72859,72862,72865,72868,72871,72874],{"className":72849},[166],[120,72851],{"className":72852,"style":5538},[170],[120,72854,1294],{"className":72855},[175],[120,72857,5577],{"className":72858},[5661],[120,72860],{"className":72861,"style":993},[398],[120,72863,28924],{"className":72864},[2781],[120,72866],{"className":72867,"style":993},[398],[120,72869,5577],{"className":72870},[5661],[120,72872],{"className":72873,"style":993},[398],[120,72875,19951],{"className":72876,"style":20066},[175,176],"）从时间 ",[120,72879,72881,72900],{"className":72880},[123],[120,72882,72884],{"className":72883},[127],[129,72885,72886],{"xmlns":131},[133,72887,72888,72897],{},[136,72889,72890],{},[629,72891,72892,72895],{},[139,72893,72894],{},"S",[139,72896,19868],{},[154,72898,72899],{"encoding":156},"S_q",[120,72901,72903],{"className":72902,"ariaHidden":162},[161],[120,72904,72906,72910],{"className":72905},[166],[120,72907],{"className":72908,"style":72909},[170],"height:0.9694em;vertical-align:-0.2861em;",[120,72911,72913,72917],{"className":72912},[175],[120,72914,72894],{"className":72915,"style":72916},[175,176],"margin-right:0.05764em;",[120,72918,72920],{"className":72919},[722],[120,72921,72923,72944],{"className":72922},[726,727],[120,72924,72926,72941],{"className":72925},[731],[120,72927,72929],{"className":72928,"style":29186},[735],[120,72930,72932,72935],{"style":72931},"top:-2.55em;margin-left:-0.0576em;margin-right:0.05em;",[120,72933],{"className":72934,"style":744},[743],[120,72936,72938],{"className":72937},[748,749,750,751],[120,72939,19868],{"className":72940,"style":5677},[175,176,751],[120,72942,762],{"className":72943},[761],[120,72945,72947],{"className":72946},[731],[120,72948,72950],{"className":72949,"style":20342},[735],[120,72951],{}," 开始运行，到 ",[120,72954,72956,72974],{"className":72955},[123],[120,72957,72959],{"className":72958},[127],[129,72960,72961],{"xmlns":131},[133,72962,72963,72971],{},[136,72964,72965],{},[629,72966,72967,72969],{},[139,72968,2523],{},[139,72970,19868],{},[154,72972,72973],{"encoding":156},"T_q",[120,72975,72977],{"className":72976,"ariaHidden":162},[161],[120,72978,72980,72983],{"className":72979},[166],[120,72981],{"className":72982,"style":72909},[170],[120,72984,72986,72989],{"className":72985},[175],[120,72987,2523],{"className":72988,"style":275},[175,176],[120,72990,72992],{"className":72991},[722],[120,72993,72995,73016],{"className":72994},[726,727],[120,72996,72998,73013],{"className":72997},[731],[120,72999,73001],{"className":73000,"style":29186},[735],[120,73002,73004,73007],{"style":73003},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[120,73005],{"className":73006,"style":744},[743],[120,73008,73010],{"className":73009},[748,749,750,751],[120,73011,19868],{"className":73012,"style":5677},[175,176,751],[120,73014,762],{"className":73015},[761],[120,73017,73019],{"className":73018},[731],[120,73020,73022],{"className":73021,"style":20342},[735],[120,73023],{}," 结束观察；",[120,73026,73028,73046],{"className":73027},[123],[120,73029,73031],{"className":73030},[127],[129,73032,73033],{"xmlns":131},[133,73034,73035,73043],{},[136,73036,73037],{},[629,73038,73039,73041],{},[139,73040,1628],{},[139,73042,19868],{},[154,73044,73045],{"encoding":156},"N_q",[120,73047,73049],{"className":73048,"ariaHidden":162},[161],[120,73050,73052,73055],{"className":73051},[166],[120,73053],{"className":73054,"style":72909},[170],[120,73056,73058,73061],{"className":73057},[175],[120,73059,1628],{"className":73060,"style":1859},[175,176],[120,73062,73064],{"className":73063},[722],[120,73065,73067,73087],{"className":73066},[726,727],[120,73068,73070,73084],{"className":73069},[731],[120,73071,73073],{"className":73072,"style":29186},[735],[120,73074,73075,73078],{"style":2010},[120,73076],{"className":73077,"style":744},[743],[120,73079,73081],{"className":73080},[748,749,750,751],[120,73082,19868],{"className":73083,"style":5677},[175,176,751],[120,73085,762],{"className":73086},[761],[120,73088,73090],{"className":73089},[731],[120,73091,73093],{"className":73092,"style":20342},[735],[120,73094],{}," 是系统 ",[120,73097,73099,73112],{"className":73098},[123],[120,73100,73102],{"className":73101},[127],[129,73103,73104],{"xmlns":131},[133,73105,73106,73110],{},[136,73107,73108],{},[139,73109,19868],{},[154,73111,19868],{"encoding":156},[120,73113,73115],{"className":73114,"ariaHidden":162},[161],[120,73116,73118,73121],{"className":73117},[166],[120,73119],{"className":73120,"style":6115},[170],[120,73122,19868],{"className":73123,"style":5677},[175,176]," 的观测失效次数，",[120,73126,73128,73150],{"className":73127},[123],[120,73129,73131],{"className":73130},[127],[129,73132,73133],{"xmlns":131},[133,73134,73135,73147],{},[136,73136,73137],{},[629,73138,73139,73141],{},[139,73140,22534],{},[136,73142,73143,73145],{},[139,73144,19796],{},[139,73146,19868],{},[154,73148,73149],{"encoding":156},"X_{iq}",[120,73151,73153],{"className":73152,"ariaHidden":162},[161],[120,73154,73156,73159],{"className":73155},[166],[120,73157],{"className":73158,"style":72909},[170],[120,73160,73162,73165],{"className":73161},[175],[120,73163,22534],{"className":73164,"style":22573},[175,176],[120,73166,73168],{"className":73167},[722],[120,73169,73171,73198],{"className":73170},[726,727],[120,73172,73174,73195],{"className":73173},[731],[120,73175,73177],{"className":73176,"style":19828},[735],[120,73178,73180,73183],{"style":73179},"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;",[120,73181],{"className":73182,"style":744},[743],[120,73184,73186],{"className":73185},[748,749,750,751],[120,73187,73189,73192],{"className":73188},[175,751],[120,73190,19796],{"className":73191},[175,176,751],[120,73193,19868],{"className":73194,"style":5677},[175,176,751],[120,73196,762],{"className":73197},[761],[120,73199,73201],{"className":73200},[731],[120,73202,73204],{"className":73203,"style":20342},[735],[120,73205],{}," 表示第 ",[120,73208,73210,73223],{"className":73209},[123],[120,73211,73213],{"className":73212},[127],[129,73214,73215],{"xmlns":131},[133,73216,73217,73221],{},[136,73218,73219],{},[139,73220,19796],{},[154,73222,19796],{"encoding":156},[120,73224,73226],{"className":73225,"ariaHidden":162},[161],[120,73227,73229,73232],{"className":73228},[166],[120,73230],{"className":73231,"style":43308},[170],[120,73233,19796],{"className":73234},[175,176]," 次失效时的系统年龄。",[62,73237],{"src":73238,"alt":73239,"width":77},"/media/image63.png","k 个系统的复现失效",[21,73241,73242,73270],{},[120,73243,73245,73258],{"className":73244},[123],[120,73246,73248],{"className":73247},[127],[129,73249,73250],{"xmlns":131},[133,73251,73252,73256],{},[136,73253,73254],{},[139,73255,19951],{},[154,73257,19951],{"encoding":156},[120,73259,73261],{"className":73260,"ariaHidden":162},[161],[120,73262,73264,73267],{"className":73263},[166],[120,73265],{"className":73266,"style":3755},[170],[120,73268,19951],{"className":73269,"style":20066},[175,176]," 个系统的复现失效",[21,73272,73273,6088,73301,73329],{},[120,73274,73276,73289],{"className":73275},[123],[120,73277,73279],{"className":73278},[127],[129,73280,73281],{"xmlns":131},[133,73282,73283,73287],{},[136,73284,73285],{},[139,73286,1442],{},[154,73288,3745],{"encoding":156},[120,73290,73292],{"className":73291,"ariaHidden":162},[161],[120,73293,73295,73298],{"className":73294},[166],[120,73296],{"className":73297,"style":3755},[170],[120,73299,1442],{"className":73300},[175,176],[120,73302,73304,73317],{"className":73303},[123],[120,73305,73307],{"className":73306},[127],[129,73308,73309],{"xmlns":131},[133,73310,73311,73315],{},[136,73312,73313],{},[139,73314,5525],{},[154,73316,5528],{"encoding":156},[120,73318,73320],{"className":73319,"ariaHidden":162},[161],[120,73321,73323,73326],{"className":73322},[166],[120,73324],{"className":73325,"style":5538},[170],[120,73327,5525],{"className":73328,"style":5542},[175,176]," 的极大似然估计为：",[120,73331,73333],{"className":73332},[1588],[120,73334,73336,73432],{"className":73335},[123],[120,73337,73339],{"className":73338},[127],[129,73340,73341],{"xmlns":131,"display":1597},[133,73342,73343,73429],{},[136,73344,73345],{},[38750,73346,73347],{"mathsize":38752},[136,73348,73349,73355,73357],{},[3081,73350,73351,73353],{"accent":162},[139,73352,1442],{},[143,73354,42228],{"stretchy":162},[143,73356,358],{},[1043,73358,73359,73381],{},[136,73360,73361,73375],{},[33186,73362,73363,73365,73373],{},[143,73364,19946],{},[136,73366,73367,73369,73371],{},[139,73368,19868],{},[143,73370,358],{},[360,73372,1294],{},[139,73374,19951],{},[629,73376,73377,73379],{},[139,73378,1628],{},[139,73380,19868],{},[136,73382,73383,73397],{},[33186,73384,73385,73387,73395],{},[143,73386,19946],{},[136,73388,73389,73391,73393],{},[139,73390,19868],{},[143,73392,358],{},[360,73394,1294],{},[139,73396,19951],{},[136,73398,73399,73401,73413,73415,73427],{},[143,73400,146],{"fence":162},[660,73402,73403,73405,73407],{},[139,73404,2523],{},[139,73406,19868],{},[3081,73408,73409,73411],{"accent":162},[139,73410,5525],{},[143,73412,42228],{"stretchy":162},[143,73414,669],{},[660,73416,73417,73419,73421],{},[139,73418,72894],{},[139,73420,19868],{},[3081,73422,73423,73425],{"accent":162},[139,73424,5525],{},[143,73426,42228],{"stretchy":162},[143,73428,152],{"fence":162},[154,73430,73431],{"encoding":156},"\\small{\\widehat{\\lambda} = \\frac{\\sum_{q = 1}^{k}N_{q}}{\\sum_{q = 1}^{k}\\left( T_{q}^{\\widehat{\\beta}} - S_{q}^{\\widehat{\\beta}} 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4982,"style":19503},[743],[120,74984,74986,75049,75052],{"className":74985},[175],[120,74987,74989,74992],{"className":74988},[879],[120,74990,19946],{"className":74991,"style":20037},[879,883,884],[120,74993,74995],{"className":74994},[722],[120,74996,74998,75041],{"className":74997},[726,727],[120,74999,75001,75038],{"className":75000},[731],[120,75002,75004,75024],{"className":75003,"style":74301},[735],[120,75005,75006,75009],{"style":20053},[120,75007],{"className":75008,"style":744},[743],[120,75010,75012],{"className":75011},[748,749,750,751],[120,75013,75015,75018,75021],{"className":75014},[175,751],[120,75016,19868],{"className":75017,"style":5677},[175,176,751],[120,75019,358],{"className":75020},[403,751],[120,75022,1294],{"className":75023},[175,751],[120,75025,75026,75029],{"style":20076},[120,75027],{"className":75028,"style":744},[743],[120,75030,75032],{"className":75031},[748,749,750,751],[120,75033,75035],{"className":75034},[175,751],[120,75036,19951],{"className":75037,"style":20066},[175,176,751],[120,75039,762],{"className":75040},[761],[120,75042,75044],{"className":75043},[731],[120,75045,75047],{"className":75046,"style":20098},[735],[120,75048],{},[120,75050],{"className":75051,"style":993},[398],[120,75053,75055,75058],{"className":75054},[175],[120,75056,1628],{"className":75057,"style":1859},[175,176],[120,75059,75061],{"className":75060},[722],[120,75062,75064,75087],{"className":75063},[726,727],[120,75065,75067,75084],{"className":75066},[731],[120,75068,75070],{"className":75069,"style":29186},[735],[120,75071,75072,75075],{"style":2010},[120,75073],{"className":75074,"style":744},[743],[120,75076,75078],{"className":75077},[748,749,750,751],[120,75079,75081],{"className":75080},[175,751],[120,75082,19868],{"className":75083,"style":5677},[175,176,751],[120,75085,762],{"className":75086},[761],[120,75088,75090],{"className":75089},[731],[120,75091,75093],{"className":75092,"style":20342},[735],[120,75094],{},[120,75096,762],{"className":75097},[761],[120,75099,75101],{"className":75100},[731],[120,75102,75105],{"className":75103,"style":75104},[735],"height:1.69em;",[120,75106],{},[120,75108],{"className":75109},[188,1113],[21,75111,75112,75113,6088,75141,189],{},"由于这些方程没有闭式解，必须采用迭代方法求解 ",[120,75114,75116,75129],{"className":75115},[123],[120,75117,75119],{"className":75118},[127],[129,75120,75121],{"xmlns":131},[133,75122,75123,75127],{},[136,75124,75125],{},[139,75126,1442],{},[154,75128,3745],{"encoding":156},[120,75130,75132],{"className":75131,"ariaHidden":162},[161],[120,75133,75135,75138],{"className":75134},[166],[120,75136],{"className":75137,"style":3755},[170],[120,75139,1442],{"className":75140},[175,176],[120,75142,75144,75157],{"className":75143},[123],[120,75145,75147],{"className":75146},[127],[129,75148,75149],{"xmlns":131},[133,75150,75151,75155],{},[136,75152,75153],{},[139,75154,5525],{},[154,75156,5528],{"encoding":156},[120,75158,75160],{"className":75159,"ariaHidden":162},[161],[120,75161,75163,75166],{"className":75162},[166],[120,75164],{"className":75165,"style":5538},[170],[120,75167,5525],{"className":75168,"style":5542},[175,176],[21,75170,75171,75199],{},[120,75172,75174,75187],{"className":75173},[123],[120,75175,75177],{"className":75176},[127],[129,75178,75179],{"xmlns":131},[133,75180,75181,75185],{},[136,75182,75183],{},[139,75184,5525],{},[154,75186,5528],{"encoding":156},[120,75188,75190],{"className":75189,"ariaHidden":162},[161],[120,75191,75193,75196],{"className":75192},[166],[120,75194],{"className":75195,"style":5538},[170],[120,75197,5525],{"className":75198,"style":5542},[175,176]," 的数值反映系统行为随时间的变化：",[62,75201],{"src":75202,"alt":75203,"width":66},"/media/image64.png","beta 对失效强度的影响",[21,75205,75206,75234],{},[120,75207,75209,75222],{"className":75208},[123],[120,75210,75212],{"className":75211},[127],[129,75213,75214],{"xmlns":131},[133,75215,75216,75220],{},[136,75217,75218],{},[139,75219,5525],{},[154,75221,5528],{"encoding":156},[120,75223,75225],{"className":75224,"ariaHidden":162},[161],[120,75226,75228,75231],{"className":75227},[166],[120,75229],{"className":75230,"style":5538},[170],[120,75232,5525],{"className":75233,"style":5542},[175,176]," 对失效强度的影响",[6121,75236,75237,75291,75345],{},[103,75238,75239,75290],{},[120,75240,75242,75260],{"className":75241},[123],[120,75243,75245],{"className":75244},[127],[129,75246,75247],{"xmlns":131},[133,75248,75249,75257],{},[136,75250,75251,75253,75255],{},[139,75252,5525],{},[143,75254,6141],{},[360,75256,1294],{},[154,75258,75259],{"encoding":156},"\\beta\u003C1",[120,75261,75263,75281],{"className":75262,"ariaHidden":162},[161],[120,75264,75266,75269,75272,75275,75278],{"className":75265},[166],[120,75267],{"className":75268,"style":5538},[170],[120,75270,5525],{"className":75271,"style":5542},[175,176],[120,75273],{"className":75274,"style":399},[398],[120,75276,6141],{"className":75277},[403],[120,75279],{"className":75280,"style":399},[398],[120,75282,75284,75287],{"className":75283},[166],[120,75285],{"className":75286,"style":447},[170],[120,75288,1294],{"className":75289},[175],"：失效强度随时间下降，系统正在改善。",[103,75292,75293,75344],{},[120,75294,75296,75314],{"className":75295},[123],[120,75297,75299],{"className":75298},[127],[129,75300,75301],{"xmlns":131},[133,75302,75303,75311],{},[136,75304,75305,75307,75309],{},[139,75306,5525],{},[143,75308,358],{},[360,75310,1294],{},[154,75312,75313],{"encoding":156},"\\beta=1",[120,75315,75317,75335],{"className":75316,"ariaHidden":162},[161],[120,75318,75320,75323,75326,75329,75332],{"className":75319},[166],[120,75321],{"className":75322,"style":5538},[170],[120,75324,5525],{"className":75325,"style":5542},[175,176],[120,75327],{"className":75328,"style":399},[398],[120,75330,358],{"className":75331},[403],[120,75333],{"className":75334,"style":399},[398],[120,75336,75338,75341],{"className":75337},[166],[120,75339],{"className":75340,"style":447},[170],[120,75342,1294],{"className":75343},[175],"：失效强度恒定，为齐次泊松过程。",[103,75346,75347,75398],{},[120,75348,75350,75368],{"className":75349},[123],[120,75351,75353],{"className":75352},[127],[129,75354,75355],{"xmlns":131},[133,75356,75357,75365],{},[136,75358,75359,75361,75363],{},[139,75360,5525],{},[143,75362,6317],{},[360,75364,1294],{},[154,75366,75367],{"encoding":156},"\\beta>1",[120,75369,75371,75389],{"className":75370,"ariaHidden":162},[161],[120,75372,75374,75377,75380,75383,75386],{"className":75373},[166],[120,75375],{"className":75376,"style":5538},[170],[120,75378,5525],{"className":75379,"style":5542},[175,176],[120,75381],{"className":75382,"style":399},[398],[120,75384,6317],{"className":75385},[403],[120,75387],{"className":75388,"style":399},[398],[120,75390,75392,75395],{"className":75391},[166],[120,75393],{"className":75394,"style":447},[170],[120,75396,1294],{"className":75397},[175],"：失效强度随时间上升，系统正在恶化。",[21,75400,75401],{},[37,75402,75403],{},"示例：泵失效数据",[21,75405,75406],{},"考虑三台在相似应力条件下运行的泵。每台泵在指定运行期间经历多次失效。",[62,75408],{"src":75409,"alt":75410,"width":77},"/media/image65.png","三台泵的失效记录",[21,75412,75413],{},"三台泵的失效记录，单位为天",[62,75415],{"src":75416,"alt":75417,"width":77},"/media/image66.png","失效时间线",[21,75419,75417],{},[21,75421,75422],{},"将累积失效记录（天）输入 Weibull Toolbox 的 RDA 工作表。",[62,75424],{"src":75425,"alt":75426,"width":3532},"/media/image67.png","RDA 工作表",[21,75428,75429],{},"将每台泵的失效数据输入 RDA 工作表",[21,75431,75432],{},"NHPP 参数的 MLE 解为：",[21,75434,75435],{},[120,75436,75438,75467],{"className":75437},[123],[120,75439,75441],{"className":75440},[127],[129,75442,75443],{"xmlns":131},[133,75444,75445,75464],{},[136,75446,75447,75453,75455,75458,75460,75462],{},[3081,75448,75449,75451],{"accent":162},[139,75450,1442],{},[143,75452,42228],{"stretchy":162},[143,75454,358],{},[360,75456,75457],{},"0.0000148",[364,75459,423],{},[139,75461,2520],{"mathvariant":672},[364,75463,428],{},[154,75465,75466],{"encoding":156},"\\widehat{\\lambda} = 0.0000148\\ /\\text{天}",[120,75468,75470,75517],{"className":75469,"ariaHidden":162},[161],[120,75471,75473,75476,75508,75511,75514],{"className":75472},[166],[120,75474],{"className":75475,"style":42254},[170],[120,75477,75479],{"className":75478},[175,3378],[120,75480,75482],{"className":75481},[726],[120,75483,75485],{"className":75484},[731],[120,75486,75488,75496],{"className":75487,"style":42254},[735],[120,75489,75490,75493],{"style":3116},[120,75491],{"className":75492,"style":1133},[743],[120,75494,1442],{"className":75495},[175,176],[120,75497,75499,75502],{"className":75498,"style":71064},[10529],[120,75500],{"className":75501,"style":1133},[743],[120,75503,75504],{"style":42272},[10555,75505,75506],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,75507],{"d":42281},[120,75509],{"className":75510,"style":399},[398],[120,75512,358],{"className":75513},[403],[120,75515],{"className":75516,"style":399},[398],[120,75518,75520,75523,75526,75529,75532],{"className":75519},[166],[120,75521],{"className":75522,"style":171},[170],[120,75524,75457],{"className":75525},[175],[120,75527,423],{"className":75528},[398],[120,75530,2520],{"className":75531},[175],[120,75533,75535],{"className":75534},[175,419],[120,75536,428],{"className":75537},[175,427],[21,75539,75540],{},[120,75541,75543,75566],{"className":75542},[123],[120,75544,75546],{"className":75545},[127],[129,75547,75548],{"xmlns":131},[133,75549,75550,75563],{},[136,75551,75552,75558,75560],{},[3081,75553,75554,75556],{"accent":162},[139,75555,5525],{},[143,75557,42228],{"stretchy":162},[143,75559,358],{},[360,75561,75562],{},"1.89",[154,75564,75565],{"encoding":156},"\\widehat{\\beta} = 1.89",[120,75567,75569,75627],{"className":75568,"ariaHidden":162},[161],[120,75570,75572,75575,75618,75621,75624],{"className":75571},[166],[120,75573],{"className":75574,"style":42241},[170],[120,75576,75578],{"className":75577},[175,3378],[120,75579,75581,75610],{"className":75580},[726,727],[120,75582,75584,75607],{"className":75583},[731],[120,75585,75587,75595],{"className":75586,"style":42254},[735],[120,75588,75589,75592],{"style":3116},[120,75590],{"className":75591,"style":1133},[743],[120,75593,5525],{"className":75594,"style":5542},[175,176],[120,75596,75598,75601],{"className":75597,"style":42266},[10529],[120,75599],{"className":75600,"style":1133},[743],[120,75602,75603],{"style":42272},[10555,75604,75605],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,75606],{"d":42281},[120,75608,762],{"className":75609},[761],[120,75611,75613],{"className":75612},[731],[120,75614,75616],{"className":75615,"style":30158},[735],[120,75617],{},[120,75619],{"className":75620,"style":399},[398],[120,75622,358],{"className":75623},[403],[120,75625],{"className":75626,"style":399},[398],[120,75628,75630,75633],{"className":75629},[166],[120,75631],{"className":75632,"style":447},[170],[120,75634,75562],{"className":75635},[175],[21,75637,75638],{},"利用这些参数，可绘制累积失效次数（均值函数）和失效强度随时间的变化。",[21,75640,75641],{},"累积失效次数函数：",[21,75643,75644],{},[120,75645,75647,75697],{"className":75646},[123],[120,75648,75650],{"className":75649},[127],[129,75651,75652],{"xmlns":131},[133,75653,75654,75694],{},[136,75655,75656,75658,75660,75662,75664,75666,75672,75682,75684,75686,75688],{},[139,75657,36607],{"mathvariant":672},[143,75659,146],{"stretchy":145},[139,75661,149],{},[143,75663,152],{"stretchy":145},[143,75665,358],{},[3081,75667,75668,75670],{"accent":162},[139,75669,1442],{},[143,75671,42228],{"stretchy":162},[3621,75673,75674,75676],{},[139,75675,149],{},[3081,75677,75678,75680],{"accent":162},[139,75679,5525],{},[143,75681,42228],{"stretchy":162},[143,75683,358],{},[360,75685,75457],{},[143,75687,2669],{},[3621,75689,75690,75692],{},[139,75691,149],{},[360,75693,75562],{},[154,75695,75696],{"encoding":156},"\\Lambda(t) = \\widehat{\\lambda}t^{\\widehat{\\beta}} = 0.0000148 \\times t^{1.89}",[120,75698,75700,75727,75847,75865],{"className":75699,"ariaHidden":162},[161],[120,75701,75703,75706,75709,75712,75715,75718,75721,75724],{"className":75702},[166],[120,75704],{"className":75705,"style":171},[170],[120,75707,36607],{"className":75708},[175],[120,75710,146],{"className":75711},[181],[120,75713,149],{"className":75714},[175,176],[120,75716,152],{"className":75717},[188],[120,75719],{"className":75720,"style":399},[398],[120,75722,358],{"className":75723},[403],[120,75725],{"className":75726,"style":399},[398],[120,75728,75730,75733,75765,75838,75841,75844],{"className":75729},[166],[120,75731],{"className":75732,"style":71040},[170],[120,75734,75736],{"className":75735},[175,3378],[120,75737,75739],{"className":75738},[726],[120,75740,75742],{"className":75741},[731],[120,75743,75745,75753],{"className":75744,"style":42254},[735],[120,75746,75747,75750],{"style":3116},[120,75748],{"className":75749,"style":1133},[743],[120,75751,1442],{"className":75752},[175,176],[120,75754,75756,75759],{"className":75755,"style":71064},[10529],[120,75757],{"className":75758,"style":1133},[743],[120,75760,75761],{"style":42272},[10555,75762,75763],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,75764],{"d":42281},[120,75766,75768,75771],{"className":75767},[175],[120,75769,149],{"className":75770},[175,176],[120,75772,75774],{"className":75773},[722],[120,75775,75777],{"className":75776},[726],[120,75778,75780],{"className":75779},[731],[120,75781,75783],{"className":75782,"style":71040},[735],[120,75784,75785,75788],{"style":9686},[120,75786],{"className":75787,"style":744},[743],[120,75789,75791],{"className":75790},[748,749,750,751],[120,75792,75794],{"className":75793},[175,751],[120,75795,75797],{"className":75796},[175,3378,751],[120,75798,75800,75830],{"className":75799},[726,727],[120,75801,75803,75827],{"className":75802},[731],[120,75804,75806,75814],{"className":75805,"style":42254},[735],[120,75807,75808,75811],{"style":19224},[120,75809],{"className":75810,"style":744},[743],[120,75812,5525],{"className":75813,"style":5542},[175,176,751],[120,75815,75817,75820],{"className":75816,"style":47435},[10529],[120,75818],{"className":75819,"style":744},[743],[120,75821,75823],{"className":75822,"style":42272},[751],[10555,75824,75825],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,75826],{"d":42281},[120,75828,762],{"className":75829},[761],[120,75831,75833],{"className":75832},[731],[120,75834,75836],{"className":75835,"style":30158},[735],[120,75837],{},[120,75839],{"className":75840,"style":399},[398],[120,75842,358],{"className":75843},[403],[120,75845],{"className":75846,"style":399},[398],[120,75848,75850,75853,75856,75859,75862],{"className":75849},[166],[120,75851],{"className":75852,"style":1345},[170],[120,75854,75457],{"className":75855},[175],[120,75857],{"className":75858,"style":1352},[398],[120,75860,2669],{"className":75861},[1356],[120,75863],{"className":75864,"style":1352},[398],[120,75866,75868,75871],{"className":75867},[166],[120,75869],{"className":75870,"style":9720},[170],[120,75872,75874,75877],{"className":75873},[175],[120,75875,149],{"className":75876},[175,176],[120,75878,75880],{"className":75879},[722],[120,75881,75883],{"className":75882},[726],[120,75884,75886],{"className":75885},[731],[120,75887,75889],{"className":75888,"style":9720},[735],[120,75890,75891,75894],{"style":9686},[120,75892],{"className":75893,"style":744},[743],[120,75895,75897],{"className":75896},[748,749,750,751],[120,75898,75900],{"className":75899},[175,751],[120,75901,75562],{"className":75902},[175,751],[62,75904],{"src":75905,"alt":75906,"width":66},"/media/image68.png","累积失效次数随时间变化",[21,75908,75906],{},[21,75910,75911],{},"失效强度函数：",[21,75913,75914],{},[120,75915,75917,75969],{"className":75916},[123],[120,75918,75920],{"className":75919},[127],[129,75921,75922],{"xmlns":131},[133,75923,75924,75966],{},[136,75925,75926,75928,75930,75932,75934,75936,75938,75940,75952,75954,75957,75959],{},[139,75927,53744],{},[143,75929,146],{"stretchy":145},[139,75931,149],{},[143,75933,152],{"stretchy":145},[143,75935,358],{},[139,75937,1442],{},[139,75939,5525],{},[3621,75941,75942,75944],{},[139,75943,149],{},[136,75945,75946,75948,75950],{},[139,75947,5525],{},[143,75949,669],{},[360,75951,1294],{},[143,75953,358],{},[360,75955,75956],{},"0.0000280",[143,75958,2669],{},[3621,75960,75961,75963],{},[139,75962,149],{},[360,75964,75965],{},"0.89",[154,75967,75968],{"encoding":156},"u(t) = \\lambda\\beta t^{\\beta - 1} = 0.0000280 \\times t^{0.89}",[120,75970,75972,75999,76058,76076],{"className":75971,"ariaHidden":162},[161],[120,75973,75975,75978,75981,75984,75987,75990,75993,75996],{"className":75974},[166],[120,75976],{"className":75977,"style":171},[170],[120,75979,53744],{"className":75980},[175,176],[120,75982,146],{"className":75983},[181],[120,75985,149],{"className":75986},[175,176],[120,75988,152],{"className":75989},[188],[120,75991],{"className":75992,"style":399},[398],[120,75994,358],{"className":75995},[403],[120,75997],{"className":75998,"style":399},[398],[120,76000,76002,76005,76008,76011,76049,76052,76055],{"className":76001},[166],[120,76003],{"className":76004,"style":71274},[170],[120,76006,1442],{"className":76007},[175,176],[120,76009,5525],{"className":76010,"style":5542},[175,176],[120,76012,76014,76017],{"className":76013},[175],[120,76015,149],{"className":76016},[175,176],[120,76018,76020],{"className":76019},[722],[120,76021,76023],{"className":76022},[726],[120,76024,76026],{"className":76025},[731],[120,76027,76029],{"className":76028,"style":20194},[735],[120,76030,76031,76034],{"style":9686},[120,76032],{"className":76033,"style":744},[743],[120,76035,76037],{"className":76036},[748,749,750,751],[120,76038,76040,76043,76046],{"className":76039},[175,751],[120,76041,5525],{"className":76042,"style":5542},[175,176,751],[120,76044,669],{"className":76045},[1356,751],[120,76047,1294],{"className":76048},[175,751],[120,76050],{"className":76051,"style":399},[398],[120,76053,358],{"className":76054},[403],[120,76056],{"className":76057,"style":399},[398],[120,76059,76061,76064,76067,76070,76073],{"className":76060},[166],[120,76062],{"className":76063,"style":1345},[170],[120,76065,75956],{"className":76066},[175],[120,76068],{"className":76069,"style":1352},[398],[120,76071,2669],{"className":76072},[1356],[120,76074],{"className":76075,"style":1352},[398],[120,76077,76079,76082],{"className":76078},[166],[120,76080],{"className":76081,"style":9720},[170],[120,76083,76085,76088],{"className":76084},[175],[120,76086,149],{"className":76087},[175,176],[120,76089,76091],{"className":76090},[722],[120,76092,76094],{"className":76093},[726],[120,76095,76097],{"className":76096},[731],[120,76098,76100],{"className":76099,"style":9720},[735],[120,76101,76102,76105],{"style":9686},[120,76103],{"className":76104,"style":744},[743],[120,76106,76108],{"className":76107},[748,749,750,751],[120,76109,76111],{"className":76110},[175,751],[120,76112,75965],{"className":76113},[175,751],[62,76115],{"src":76116,"alt":76117,"width":66},"/media/image69.png","失效强度随时间变化",[21,76119,76117],{},[17,76121,76123],{"id":76122},"最佳大修时间经济寿命","最佳大修时间（经济寿命）",[21,76125,3762,76126,76176],{},[120,76127,76129,76146],{"className":76128},[123],[120,76130,76132],{"className":76131},[127],[129,76133,76134],{"xmlns":131},[133,76135,76136,76144],{},[136,76137,76138,76140,76142],{},[139,76139,5525],{},[143,76141,6317],{},[360,76143,1294],{},[154,76145,75367],{"encoding":156},[120,76147,76149,76167],{"className":76148,"ariaHidden":162},[161],[120,76150,76152,76155,76158,76161,76164],{"className":76151},[166],[120,76153],{"className":76154,"style":5538},[170],[120,76156,5525],{"className":76157,"style":5542},[175,176],[120,76159],{"className":76160,"style":399},[398],[120,76162,6317],{"className":76163},[403],[120,76165],{"className":76166,"style":399},[398],[120,76168,76170,76173],{"className":76169},[166],[120,76171],{"className":76172,"style":447},[170],[120,76174,1294],{"className":76175},[175]," 时，失效强度随时间上升。虽然初期修理可能比大修更经济，但最终会到达大修或更换更具成本效益的时点。",[21,76178,34752],{},[6121,76180,76181,76267,76350],{},[103,76182,76183,76266],{},[120,76184,76186,76210],{"className":76185},[123],[120,76187,76189],{"className":76188},[127],[129,76190,76191],{"xmlns":131},[133,76192,76193,76207],{},[136,76194,76195],{},[629,76196,76197,76199],{},[139,76198,2523],{},[136,76200,76201,76204],{},[139,76202,76203],{},"O",[139,76205,76206],{},"H",[154,76208,76209],{"encoding":156},"T_{OH}",[120,76211,76213],{"className":76212,"ariaHidden":162},[161],[120,76214,76216,76219],{"className":76215},[166],[120,76217],{"className":76218,"style":2449},[170],[120,76220,76222,76225],{"className":76221},[175],[120,76223,2523],{"className":76224,"style":275},[175,176],[120,76226,76228],{"className":76227},[722],[120,76229,76231,76258],{"className":76230},[726,727],[120,76232,76234,76255],{"className":76233},[731],[120,76235,76237],{"className":76236,"style":33392},[735],[120,76238,76239,76242],{"style":73003},[120,76240],{"className":76241,"style":744},[743],[120,76243,76245],{"className":76244},[748,749,750,751],[120,76246,76248,76251],{"className":76247},[175,751],[120,76249,76203],{"className":76250,"style":24205},[175,176,751],[120,76252,76206],{"className":76253,"style":76254},[175,176,751],"margin-right:0.08125em;",[120,76256,762],{"className":76257},[761],[120,76259,76261],{"className":76260},[731],[120,76262,76264],{"className":76263,"style":769},[735],[120,76265],{},"：大修时间。",[103,76268,76269,76349],{},[120,76270,76272,76295],{"className":76271},[123],[120,76273,76275],{"className":76274},[127],[129,76276,76277],{"xmlns":131},[133,76278,76279,76292],{},[136,76280,76281],{},[629,76282,76283,76285],{},[139,76284,22539],{},[136,76286,76287,76289],{},[139,76288,22539],{},[139,76290,76291],{},"M",[154,76293,76294],{"encoding":156},"C_{CM}",[120,76296,76298],{"className":76297,"ariaHidden":162},[161],[120,76299,76301,76304],{"className":76300},[166],[120,76302],{"className":76303,"style":2449},[170],[120,76305,76307,76310],{"className":76306},[175],[120,76308,22539],{"className":76309,"style":22593},[175,176],[120,76311,76313],{"className":76312},[722],[120,76314,76316,76341],{"className":76315},[726,727],[120,76317,76319,76338],{"className":76318},[731],[120,76320,76322],{"className":76321,"style":33392},[735],[120,76323,76325,76328],{"style":76324},"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;",[120,76326],{"className":76327,"style":744},[743],[120,76329,76331],{"className":76330},[748,749,750,751],[120,76332,76334],{"className":76333},[175,751],[120,76335,76337],{"className":76336,"style":1859},[175,176,751],"CM",[120,76339,762],{"className":76340},[761],[120,76342,76344],{"className":76343},[731],[120,76345,76347],{"className":76346,"style":769},[735],[120,76348],{},"：纠正性维修成本。",[103,76351,76352,76432],{},[120,76353,76355,76377],{"className":76354},[123],[120,76356,76358],{"className":76357},[127],[129,76359,76360],{"xmlns":131},[133,76361,76362,76374],{},[136,76363,76364],{},[629,76365,76366,76368],{},[139,76367,22539],{},[136,76369,76370,76372],{},[139,76371,76203],{},[139,76373,76206],{},[154,76375,76376],{"encoding":156},"C_{OH}",[120,76378,76380],{"className":76379,"ariaHidden":162},[161],[120,76381,76383,76386],{"className":76382},[166],[120,76384],{"className":76385,"style":2449},[170],[120,76387,76389,76392],{"className":76388},[175],[120,76390,22539],{"className":76391,"style":22593},[175,176],[120,76393,76395],{"className":76394},[722],[120,76396,76398,76424],{"className":76397},[726,727],[120,76399,76401,76421],{"className":76400},[731],[120,76402,76404],{"className":76403,"style":33392},[735],[120,76405,76406,76409],{"style":76324},[120,76407],{"className":76408,"style":744},[743],[120,76410,76412],{"className":76411},[748,749,750,751],[120,76413,76415,76418],{"className":76414},[175,751],[120,76416,76203],{"className":76417,"style":24205},[175,176,751],[120,76419,76206],{"className":76420,"style":76254},[175,176,751],[120,76422,762],{"className":76423},[761],[120,76425,76427],{"className":76426},[731],[120,76428,76430],{"className":76429,"style":769},[735],[120,76431],{},"：大修成本。",[21,76434,76435],{},"单位时间成本（Cost per Unit Time，CPUT）定义为：",[21,76437,76438],{},[120,76439,76441,76523],{"className":76440},[123],[120,76442,76444],{"className":76443},[127],[129,76445,76446],{"xmlns":131},[133,76447,76448,76520],{},[136,76449,76450,76452,76454,76456,76458,76460],{},[139,76451,22539],{},[139,76453,641],{},[139,76455,35535],{},[139,76457,2523],{},[143,76459,358],{},[1043,76461,76462,76510],{},[136,76463,76464,76466,76476,76478,76480,76496,76498,76508],{},[143,76465,3855],{"fence":162},[629,76467,76468,76470],{},[139,76469,22539],{},[136,76471,76472,76474],{},[139,76473,22539],{},[139,76475,76291],{},[143,76477,2669],{},[139,76479,36607],{"mathvariant":672},[136,76481,76482,76484,76494],{},[143,76483,146],{"fence":162},[629,76485,76486,76488],{},[139,76487,2523],{},[136,76489,76490,76492],{},[139,76491,76203],{},[139,76493,76206],{},[143,76495,152],{"fence":162},[143,76497,2646],{},[629,76499,76500,76502],{},[139,76501,22539],{},[136,76503,76504,76506],{},[139,76505,76203],{},[139,76507,76206],{},[143,76509,3874],{"fence":162},[629,76511,76512,76514],{},[139,76513,2523],{},[136,76515,76516,76518],{},[139,76517,76203],{},[139,76519,76206],{},[154,76521,76522],{"encoding":156},"CPUT = \\frac{\\left\\lbrack C_{CM} \\times \\Lambda\\left( T_{OH} \\right) + C_{OH} \\right\\rbrack}{T_{OH}}",[120,76524,76526,76551],{"className":76525,"ariaHidden":162},[161],[120,76527,76529,76532,76536,76539,76542,76545,76548],{"className":76528},[166],[120,76530],{"className":76531,"style":1540},[170],[120,76533,76535],{"className":76534,"style":275},[175,176],"CP",[120,76537,35535],{"className":76538,"style":1859},[175,176],[120,76540,2523],{"className":76541,"style":275},[175,176],[120,76543],{"className":76544,"style":399},[398],[120,76546,358],{"className":76547},[403],[120,76549],{"className":76550,"style":399},[398],[120,76552,76554,76558],{"className":76553},[166],[120,76555],{"className":76556,"style":76557},[170],"height:1.4553em;vertical-align:-0.4453em;",[120,76559,76561,76564,76841],{"className":76560},[175],[120,76562],{"className":76563},[181,1113],[120,76565,76567],{"className":76566},[1043],[120,76568,76570,76832],{"className":76569},[726,727],[120,76571,76573,76829],{"className":76572},[731],[120,76574,76576,76635,76643],{"className":76575,"style":1126},[735],[120,76577,76578,76581],{"style":1129},[120,76579],{"className":76580,"style":1133},[743],[120,76582,76584],{"className":76583},[748,749,750,751],[120,76585,76587],{"className":76586},[175,751],[120,76588,76590,76593],{"className":76589},[175,751],[120,76591,2523],{"className":76592,"style":275},[175,176,751],[120,76594,76596],{"className":76595},[722],[120,76597,76599,76626],{"className":76598},[726,727],[120,76600,76602,76623],{"className":76601},[731],[120,76603,76605],{"className":76604,"style":48214},[735],[120,76606,76608,76611],{"style":76607},"top:-2.3567em;margin-left:-0.1389em;margin-right:0.0714em;",[120,76609],{"className":76610,"style":954},[743],[120,76612,76614],{"className":76613},[748,958,959,751],[120,76615,76617,76620],{"className":76616},[175,751],[120,76618,76203],{"className":76619,"style":24205},[175,176,751],[120,76621,76206],{"className":76622,"style":76254},[175,176,751],[120,76624,762],{"className":76625},[761],[120,76627,76629],{"className":76628},[731],[120,76630,76633],{"className":76631,"style":76632},[735],"height:0.1433em;",[120,76634],{},[120,76636,76637,76640],{"style":1148},[120,76638],{"className":76639,"style":1133},[743],[120,76641],{"className":76642,"style":1156},[1155],[120,76644,76645,76648],{"style":1159},[120,76646],{"className":76647,"style":1133},[743],[120,76649,76651],{"className":76650},[748,749,750,751],[120,76652,76654],{"className":76653},[175,751],[120,76655,76657,76663,76707,76710,76713,76774,76777,76823],{"className":76656},[2781,751],[120,76658,76660],{"className":76659,"style":2786},[181,751,2785],[120,76661,3855],{"className":76662},[751],[120,76664,76666,76669],{"className":76665},[175,751],[120,76667,22539],{"className":76668,"style":22593},[175,176,751],[120,76670,76672],{"className":76671},[722],[120,76673,76675,76699],{"className":76674},[726,727],[120,76676,76678,76696],{"className":76677},[731],[120,76679,76681],{"className":76680,"style":48214},[735],[120,76682,76684,76687],{"style":76683},"top:-2.3567em;margin-left:-0.0715em;margin-right:0.0714em;",[120,76685],{"className":76686,"style":954},[743],[120,76688,76690],{"className":76689},[748,958,959,751],[120,76691,76693],{"className":76692},[175,751],[120,76694,76337],{"className":76695,"style":1859},[175,176,751],[120,76697,762],{"className":76698},[761],[120,76700,76702],{"className":76701},[731],[120,76703,76705],{"className":76704,"style":76632},[735],[120,76706],{},[120,76708,2669],{"className":76709},[1356,751],[120,76711,36607],{"className":76712},[175,751],[120,76714,76716,76722,76768],{"className":76715},[2781,751],[120,76717,76719],{"className":76718,"style":2786},[181,751,2785],[120,76720,146],{"className":76721},[751],[120,76723,76725,76728],{"className":76724},[175,751],[120,76726,2523],{"className":76727,"style":275},[175,176,751],[120,76729,76731],{"className":76730},[722],[120,76732,76734,76760],{"className":76733},[726,727],[120,76735,76737,76757],{"className":76736},[731],[120,76738,76740],{"className":76739,"style":48214},[735],[120,76741,76742,76745],{"style":76607},[120,76743],{"className":76744,"style":954},[743],[120,76746,76748],{"className":76747},[748,958,959,751],[120,76749,76751,76754],{"className":76750},[175,751],[120,76752,76203],{"className":76753,"style":24205},[175,176,751],[120,76755,76206],{"className":76756,"style":76254},[175,176,751],[120,76758,762],{"className":76759},[761],[120,76761,76763],{"className":76762},[731],[120,76764,76766],{"className":76765,"style":76632},[735],[120,76767],{},[120,76769,76771],{"className":76770,"style":2786},[188,751,2785],[120,76772,152],{"className":76773},[751],[120,76775,2646],{"className":76776},[1356,751],[120,76778,76780,76783],{"className":76779},[175,751],[120,76781,22539],{"className":76782,"style":22593},[175,176,751],[120,76784,76786],{"className":76785},[722],[120,76787,76789,76815],{"className":76788},[726,727],[120,76790,76792,76812],{"className":76791},[731],[120,76793,76795],{"className":76794,"style":48214},[735],[120,76796,76797,76800],{"style":76683},[120,76798],{"className":76799,"style":954},[743],[120,76801,76803],{"className":76802},[748,958,959,751],[120,76804,76806,76809],{"className":76805},[175,751],[120,76807,76203],{"className":76808,"style":24205},[175,176,751],[120,76810,76206],{"className":76811,"style":76254},[175,176,751],[120,76813,762],{"className":76814},[761],[120,76816,76818],{"className":76817},[731],[120,76819,76821],{"className":76820,"style":76632},[735],[120,76822],{},[120,76824,76826],{"className":76825,"style":2786},[188,751,2785],[120,76827,3874],{"className":76828},[751],[120,76830,762],{"className":76831},[761],[120,76833,76835],{"className":76834},[731],[120,76836,76839],{"className":76837,"style":76838},[735],"height:0.4453em;",[120,76840],{},[120,76842],{"className":76843},[188,1113],[21,76845,9500],{},[21,76847,76848],{},[120,76849,76851,76913],{"className":76850},[123],[120,76852,76854],{"className":76853},[127],[129,76855,76856],{"xmlns":131},[133,76857,76858,76910],{},[136,76859,76860,76862,76878,76880,76886],{},[139,76861,36607],{"mathvariant":672},[136,76863,76864,76866,76876],{},[143,76865,146],{"fence":162},[629,76867,76868,76870],{},[139,76869,2523],{},[136,76871,76872,76874],{},[139,76873,76203],{},[139,76875,76206],{},[143,76877,152],{"fence":162},[143,76879,358],{},[3081,76881,76882,76884],{"accent":162},[139,76883,1442],{},[143,76885,42228],{"stretchy":162},[3621,76887,76888,76904],{},[136,76889,76890,76892,76902],{},[143,76891,146],{"fence":162},[629,76893,76894,76896],{},[139,76895,2523],{},[136,76897,76898,76900],{},[139,76899,76203],{},[139,76901,76206],{},[143,76903,152],{"fence":162},[3081,76905,76906,76908],{"accent":162},[139,76907,5525],{},[143,76909,42228],{"stretchy":162},[154,76911,76912],{"encoding":156},"\\Lambda\\left( T_{OH} \\right) = \\widehat{\\lambda}\\left( T_{OH} \\right)^{\\widehat{\\beta}}",[120,76914,76916,76992],{"className":76915,"ariaHidden":162},[161],[120,76917,76919,76922,76925,76928,76983,76986,76989],{"className":76918},[166],[120,76920],{"className":76921,"style":171},[170],[120,76923,36607],{"className":76924},[175],[120,76926],{"className":76927,"style":993},[398],[120,76929,76931,76934,76980],{"className":76930},[2781],[120,76932,146],{"className":76933,"style":2786},[181,2785],[120,76935,76937,76940],{"className":76936},[175],[120,76938,2523],{"className":76939,"style":275},[175,176],[120,76941,76943],{"className":76942},[722],[120,76944,76946,76972],{"className":76945},[726,727],[120,76947,76949,76969],{"className":76948},[731],[120,76950,76952],{"className":76951,"style":33392},[735],[120,76953,76954,76957],{"style":73003},[120,76955],{"className":76956,"style":744},[743],[120,76958,76960],{"className":76959},[748,749,750,751],[120,76961,76963,76966],{"className":76962},[175,751],[120,76964,76203],{"className":76965,"style":24205},[175,176,751],[120,76967,76206],{"className":76968,"style":76254},[175,176,751],[120,76970,762],{"className":76971},[761],[120,76973,76975],{"className":76974},[731],[120,76976,76978],{"className":76977,"style":769},[735],[120,76979],{},[120,76981,152],{"className":76982,"style":2786},[188,2785],[120,76984],{"className":76985,"style":399},[398],[120,76987,358],{"className":76988},[403],[120,76990],{"className":76991,"style":399},[398],[120,76993,76995,76999,77031,77034],{"className":76994},[166],[120,76996],{"className":76997,"style":76998},[170],"height:1.407em;vertical-align:-0.25em;",[120,77000,77002],{"className":77001},[175,3378],[120,77003,77005],{"className":77004},[726],[120,77006,77008],{"className":77007},[731],[120,77009,77011,77019],{"className":77010,"style":42254},[735],[120,77012,77013,77016],{"style":3116},[120,77014],{"className":77015,"style":1133},[743],[120,77017,1442],{"className":77018},[175,176],[120,77020,77022,77025],{"className":77021,"style":71064},[10529],[120,77023],{"className":77024,"style":1133},[743],[120,77026,77027],{"style":42272},[10555,77028,77029],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,77030],{"d":42281},[120,77032],{"className":77033,"style":993},[398],[120,77035,77037,77092],{"className":77036},[2781],[120,77038,77040,77043,77089],{"className":77039},[2781],[120,77041,146],{"className":77042,"style":2786},[181,2785],[120,77044,77046,77049],{"className":77045},[175],[120,77047,2523],{"className":77048,"style":275},[175,176],[120,77050,77052],{"className":77051},[722],[120,77053,77055,77081],{"className":77054},[726,727],[120,77056,77058,77078],{"className":77057},[731],[120,77059,77061],{"className":77060,"style":33392},[735],[120,77062,77063,77066],{"style":73003},[120,77064],{"className":77065,"style":744},[743],[120,77067,77069],{"className":77068},[748,749,750,751],[120,77070,77072,77075],{"className":77071},[175,751],[120,77073,76203],{"className":77074,"style":24205},[175,176,751],[120,77076,76206],{"className":77077,"style":76254},[175,176,751],[120,77079,762],{"className":77080},[761],[120,77082,77084],{"className":77083},[731],[120,77085,77087],{"className":77086,"style":769},[735],[120,77088],{},[120,77090,152],{"className":77091,"style":2786},[188,2785],[120,77093,77095],{"className":77094},[722],[120,77096,77098],{"className":77097},[726],[120,77099,77101],{"className":77100},[731],[120,77102,77105],{"className":77103,"style":77104},[735],"height:1.157em;",[120,77106,77107,77110],{"style":20076},[120,77108],{"className":77109,"style":744},[743],[120,77111,77113],{"className":77112},[748,749,750,751],[120,77114,77116],{"className":77115},[175,751],[120,77117,77119],{"className":77118},[175,3378,751],[120,77120,77122,77152],{"className":77121},[726,727],[120,77123,77125,77149],{"className":77124},[731],[120,77126,77128,77136],{"className":77127,"style":42254},[735],[120,77129,77130,77133],{"style":19224},[120,77131],{"className":77132,"style":744},[743],[120,77134,5525],{"className":77135,"style":5542},[175,176,751],[120,77137,77139,77142],{"className":77138,"style":47435},[10529],[120,77140],{"className":77141,"style":744},[743],[120,77143,77145],{"className":77144,"style":42272},[751],[10555,77146,77147],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,77148],{"d":42281},[120,77150,762],{"className":77151},[761],[120,77153,77155],{"className":77154},[731],[120,77156,77158],{"className":77157,"style":30158},[735],[120,77159],{},[21,77161,77162,77163,77242,77243,77322],{},"为求最佳 ",[120,77164,77166,77187],{"className":77165},[123],[120,77167,77169],{"className":77168},[127],[129,77170,77171],{"xmlns":131},[133,77172,77173,77185],{},[136,77174,77175],{},[629,77176,77177,77179],{},[139,77178,2523],{},[136,77180,77181,77183],{},[139,77182,76203],{},[139,77184,76206],{},[154,77186,76209],{"encoding":156},[120,77188,77190],{"className":77189,"ariaHidden":162},[161],[120,77191,77193,77196],{"className":77192},[166],[120,77194],{"className":77195,"style":2449},[170],[120,77197,77199,77202],{"className":77198},[175],[120,77200,2523],{"className":77201,"style":275},[175,176],[120,77203,77205],{"className":77204},[722],[120,77206,77208,77234],{"className":77207},[726,727],[120,77209,77211,77231],{"className":77210},[731],[120,77212,77214],{"className":77213,"style":33392},[735],[120,77215,77216,77219],{"style":73003},[120,77217],{"className":77218,"style":744},[743],[120,77220,77222],{"className":77221},[748,749,750,751],[120,77223,77225,77228],{"className":77224},[175,751],[120,77226,76203],{"className":77227,"style":24205},[175,176,751],[120,77229,76206],{"className":77230,"style":76254},[175,176,751],[120,77232,762],{"className":77233},[761],[120,77235,77237],{"className":77236},[731],[120,77238,77240],{"className":77239,"style":769},[735],[120,77241],{},"，对 CPUT 关于 ",[120,77244,77246,77267],{"className":77245},[123],[120,77247,77249],{"className":77248},[127],[129,77250,77251],{"xmlns":131},[133,77252,77253,77265],{},[136,77254,77255],{},[629,77256,77257,77259],{},[139,77258,2523],{},[136,77260,77261,77263],{},[139,77262,76203],{},[139,77264,76206],{},[154,77266,76209],{"encoding":156},[120,77268,77270],{"className":77269,"ariaHidden":162},[161],[120,77271,77273,77276],{"className":77272},[166],[120,77274],{"className":77275,"style":2449},[170],[120,77277,77279,77282],{"className":77278},[175],[120,77280,2523],{"className":77281,"style":275},[175,176],[120,77283,77285],{"className":77284},[722],[120,77286,77288,77314],{"className":77287},[726,727],[120,77289,77291,77311],{"className":77290},[731],[120,77292,77294],{"className":77293,"style":33392},[735],[120,77295,77296,77299],{"style":73003},[120,77297],{"className":77298,"style":744},[743],[120,77300,77302],{"className":77301},[748,749,750,751],[120,77303,77305,77308],{"className":77304},[175,751],[120,77306,76203],{"className":77307,"style":24205},[175,176,751],[120,77309,76206],{"className":77310,"style":76254},[175,176,751],[120,77312,762],{"className":77313},[761],[120,77315,77317],{"className":77316},[731],[120,77318,77320],{"className":77319,"style":769},[735],[120,77321],{}," 求导并令导数为零：",[21,77324,77325],{},[120,77326,77328,77376],{"className":77327},[123],[120,77329,77331],{"className":77330},[127],[129,77332,77333],{"xmlns":131},[133,77334,77335,77373],{},[136,77336,77337,77369,77371],{},[1043,77338,77339,77355],{},[136,77340,77341,77343,77345,77347,77349,77351,77353],{},[139,77342,692],{},[143,77344,146],{"stretchy":145},[139,77346,22539],{},[139,77348,641],{},[139,77350,35535],{},[139,77352,2523],{},[143,77354,152],{"stretchy":145},[136,77356,77357,77359],{},[139,77358,692],{},[629,77360,77361,77363],{},[139,77362,2523],{},[136,77364,77365,77367],{},[139,77366,76203],{},[139,77368,76206],{},[143,77370,358],{},[360,77372,523],{},[154,77374,77375],{"encoding":156},"\\frac{d(CPUT)}{dT_{OH}} = 0",[120,77377,77379,77523],{"className":77378,"ariaHidden":162},[161],[120,77380,77382,77385,77514,77517,77520],{"className":77381},[166],[120,77383],{"className":77384,"style":76557},[170],[120,77386,77388,77391,77511],{"className":77387},[175],[120,77389],{"className":77390},[181,1113],[120,77392,77394],{"className":77393},[1043],[120,77395,77397,77503],{"className":77396},[726,727],[120,77398,77400,77500],{"className":77399},[731],[120,77401,77403,77463,77471],{"className":77402,"style":1126},[735],[120,77404,77405,77408],{"style":1129},[120,77406],{"className":77407,"style":1133},[743],[120,77409,77411],{"className":77410},[748,749,750,751],[120,77412,77414,77417],{"className":77413},[175,751],[120,77415,692],{"className":77416},[175,176,751],[120,77418,77420,77423],{"className":77419},[175,751],[120,77421,2523],{"className":77422,"style":275},[175,176,751],[120,77424,77426],{"className":77425},[722],[120,77427,77429,77455],{"className":77428},[726,727],[120,77430,77432,77452],{"className":77431},[731],[120,77433,77435],{"className":77434,"style":48214},[735],[120,77436,77437,77440],{"style":76607},[120,77438],{"className":77439,"style":954},[743],[120,77441,77443],{"className":77442},[748,958,959,751],[120,77444,77446,77449],{"className":77445},[175,751],[120,77447,76203],{"className":77448,"style":24205},[175,176,751],[120,77450,76206],{"className":77451,"style":76254},[175,176,751],[120,77453,762],{"className":77454},[761],[120,77456,77458],{"className":77457},[731],[120,77459,77461],{"className":77460,"style":76632},[735],[120,77462],{},[120,77464,77465,77468],{"style":1148},[120,77466],{"className":77467,"style":1133},[743],[120,77469],{"className":77470,"style":1156},[1155],[120,77472,77473,77476],{"style":1159},[120,77474],{"className":77475,"style":1133},[743],[120,77477,77479],{"className":77478},[748,749,750,751],[120,77480,77482,77485,77488,77491,77494,77497],{"className":77481},[175,751],[120,77483,692],{"className":77484},[175,176,751],[120,77486,146],{"className":77487},[181,751],[120,77489,76535],{"className":77490,"style":275},[175,176,751],[120,77492,35535],{"className":77493,"style":1859},[175,176,751],[120,77495,2523],{"className":77496,"style":275},[175,176,751],[120,77498,152],{"className":77499},[188,751],[120,77501,762],{"className":77502},[761],[120,77504,77506],{"className":77505},[731],[120,77507,77509],{"className":77508,"style":76838},[735],[120,77510],{},[120,77512],{"className":77513},[188,1113],[120,77515],{"className":77516,"style":399},[398],[120,77518,358],{"className":77519},[403],[120,77521],{"className":77522,"style":399},[398],[120,77524,77526,77529],{"className":77525},[166],[120,77527],{"className":77528,"style":447},[170],[120,77530,523],{"className":77531},[175],[21,77533,77534],{},"求解得到：",[21,77536,77537],{},[120,77538,77540,77614],{"className":77539},[123],[120,77541,77543],{"className":77542},[127],[129,77544,77545],{"xmlns":131},[133,77546,77547,77611],{},[136,77548,77549,77559,77561],{},[629,77550,77551,77553],{},[139,77552,2523],{},[136,77554,77555,77557],{},[139,77556,76203],{},[139,77558,76206],{},[143,77560,358],{},[3621,77562,77563,77605],{},[136,77564,77565,77567,77603],{},[143,77566,3855],{"fence":162},[1043,77568,77569,77579],{},[629,77570,77571,77573],{},[139,77572,22539],{},[136,77574,77575,77577],{},[139,77576,76203],{},[139,77578,76206],{},[136,77580,77581,77583,77585,77587,77589,77591,77593],{},[139,77582,1442],{},[143,77584,146],{"stretchy":145},[139,77586,5525],{},[143,77588,669],{},[360,77590,1294],{},[143,77592,152],{"stretchy":145},[629,77594,77595,77597],{},[139,77596,22539],{},[136,77598,77599,77601],{},[139,77600,22539],{},[139,77602,76291],{},[143,77604,3874],{"fence":162},[1043,77606,77607,77609],{},[360,77608,1294],{},[139,77610,5525],{},[154,77612,77613],{"encoding":156},"T_{OH} = \\left\\lbrack \\frac{C_{OH}}{\\lambda(\\beta - 1)C_{CM}} \\right\\rbrack^{\\frac{1}{\\beta}}",[120,77615,77617,77678],{"className":77616,"ariaHidden":162},[161],[120,77618,77620,77623,77669,77672,77675],{"className":77619},[166],[120,77621],{"className":77622,"style":2449},[170],[120,77624,77626,77629],{"className":77625},[175],[120,77627,2523],{"className":77628,"style":275},[175,176],[120,77630,77632],{"className":77631},[722],[120,77633,77635,77661],{"className":77634},[726,727],[120,77636,77638,77658],{"className":77637},[731],[120,77639,77641],{"className":77640,"style":33392},[735],[120,77642,77643,77646],{"style":73003},[120,77644],{"className":77645,"style":744},[743],[120,77647,77649],{"className":77648},[748,749,750,751],[120,77650,77652,77655],{"className":77651},[175,751],[120,77653,76203],{"className":77654,"style":24205},[175,176,751],[120,77656,76206],{"className":77657,"style":76254},[175,176,751],[120,77659,762],{"className":77660},[761],[120,77662,77664],{"className":77663},[731],[120,77665,77667],{"className":77666,"style":769},[735],[120,77668],{},[120,77670],{"className":77671,"style":399},[398],[120,77673,358],{"className":77674},[403],[120,77676],{"className":77677,"style":399},[398],[120,77679,77681,77685],{"className":77680},[166],[120,77682],{"className":77683,"style":77684},[170],"height:2.1439em;vertical-align:-0.65em;",[120,77686,77688,77874],{"className":77687},[2781],[120,77689,77691,77697,77868],{"className":77690},[2781],[120,77692,77694],{"className":77693,"style":2786},[181,2785],[120,77695,3855],{"className":77696},[2790,3472],[120,77698,77700,77703,77865],{"className":77699},[175],[120,77701],{"className":77702},[181,1113],[120,77704,77706],{"className":77705},[1043],[120,77707,77709,77857],{"className":77708},[726,727],[120,77710,77712,77854],{"className":77711},[731],[120,77713,77716,77788,77796],{"className":77714,"style":77715},[735],"height:0.8886em;",[120,77717,77718,77721],{"style":1129},[120,77719],{"className":77720,"style":1133},[743],[120,77722,77724],{"className":77723},[748,749,750,751],[120,77725,77727,77730,77733,77736,77739,77742,77745],{"className":77726},[175,751],[120,77728,1442],{"className":77729},[175,176,751],[120,77731,146],{"className":77732},[181,751],[120,77734,5525],{"className":77735,"style":5542},[175,176,751],[120,77737,669],{"className":77738},[1356,751],[120,77740,1294],{"className":77741},[175,751],[120,77743,152],{"className":77744},[188,751],[120,77746,77748,77751],{"className":77747},[175,751],[120,77749,22539],{"className":77750,"style":22593},[175,176,751],[120,77752,77754],{"className":77753},[722],[120,77755,77757,77780],{"className":77756},[726,727],[120,77758,77760,77777],{"className":77759},[731],[120,77761,77763],{"className":77762,"style":48214},[735],[120,77764,77765,77768],{"style":76683},[120,77766],{"className":77767,"style":954},[743],[120,77769,77771],{"className":77770},[748,958,959,751],[120,77772,77774],{"className":77773},[175,751],[120,77775,76337],{"className":77776,"style":1859},[175,176,751],[120,77778,762],{"className":77779},[761],[120,77781,77783],{"className":77782},[731],[120,77784,77786],{"className":77785,"style":76632},[735],[120,77787],{},[120,77789,77790,77793],{"style":1148},[120,77791],{"className":77792,"style":1133},[743],[120,77794],{"className":77795,"style":1156},[1155],[120,77797,77799,77802],{"style":77798},"top:-3.4103em;",[120,77800],{"className":77801,"style":1133},[743],[120,77803,77805],{"className":77804},[748,749,750,751],[120,77806,77808],{"className":77807},[175,751],[120,77809,77811,77814],{"className":77810},[175,751],[120,77812,22539],{"className":77813,"style":22593},[175,176,751],[120,77815,77817],{"className":77816},[722],[120,77818,77820,77846],{"className":77819},[726,727],[120,77821,77823,77843],{"className":77822},[731],[120,77824,77826],{"className":77825,"style":48214},[735],[120,77827,77828,77831],{"style":76683},[120,77829],{"className":77830,"style":954},[743],[120,77832,77834],{"className":77833},[748,958,959,751],[120,77835,77837,77840],{"className":77836},[175,751],[120,77838,76203],{"className":77839,"style":24205},[175,176,751],[120,77841,76206],{"className":77842,"style":76254},[175,176,751],[120,77844,762],{"className":77845},[761],[120,77847,77849],{"className":77848},[731],[120,77850,77852],{"className":77851,"style":76632},[735],[120,77853],{},[120,77855,762],{"className":77856},[761],[120,77858,77860],{"className":77859},[731],[120,77861,77863],{"className":77862,"style":1904},[735],[120,77864],{},[120,77866],{"className":77867},[188,1113],[120,77869,77871],{"className":77870,"style":2786},[188,2785],[120,77872,3874],{"className":77873},[2790,3472],[120,77875,77877],{"className":77876},[722],[120,77878,77880],{"className":77879},[726],[120,77881,77883],{"className":77882},[731],[120,77884,77887],{"className":77885,"style":77886},[735],"height:1.4939em;",[120,77888,77889,77892],{"style":8942},[120,77890],{"className":77891,"style":1133},[743],[120,77893,77895],{"className":77894},[748,749,750,751],[120,77896,77898],{"className":77897},[175,751],[120,77899,77901,77904,77963],{"className":77900},[175,751],[120,77902],{"className":77903},[181,1113,748,958,5941],[120,77905,77907],{"className":77906},[1043],[120,77908,77910,77955],{"className":77909},[726,727],[120,77911,77913,77952],{"className":77912},[731],[120,77914,77916,77930,77938],{"className":77915,"style":10269},[735],[120,77917,77918,77921],{"style":5967},[120,77919],{"className":77920,"style":1133},[743],[120,77922,77924],{"className":77923},[748,958,959,751],[120,77925,77927],{"className":77926},[175,751],[120,77928,5525],{"className":77929,"style":5542},[175,176,751],[120,77931,77932,77935],{"style":5982},[120,77933],{"className":77934,"style":1133},[743],[120,77936],{"className":77937,"style":5989},[1155,751],[120,77939,77940,77943],{"style":5992},[120,77941],{"className":77942,"style":1133},[743],[120,77944,77946],{"className":77945},[748,958,959,751],[120,77947,77949],{"className":77948},[175,751],[120,77950,1294],{"className":77951},[175,751],[120,77953,762],{"className":77954},[761],[120,77956,77958],{"className":77957},[731],[120,77959,77961],{"className":77960,"style":6014},[735],[120,77962],{},[120,77964],{"className":77965},[188,1113,748,958,5941],[21,77967,77968],{},"对于上述泵示例，修理成本为 $10,000，大修成本为 $50,000：",[21,77970,77971],{},[120,77972,77974,78016],{"className":77973},[123],[120,77975,77977],{"className":77976},[127],[129,77978,77979],{"xmlns":131},[133,77980,77981,78013],{},[136,77982,77983,77989,77991,77993,77995,77997,77999,78001,78003,78009,78011],{},[3081,77984,77985,77987],{"accent":162},[139,77986,1442],{},[143,77988,42228],{"stretchy":162},[143,77990,358],{},[360,77992,75457],{},[364,77994,423],{},[139,77996,2520],{"mathvariant":672},[364,77998,428],{},[143,78000,5577],{"separator":162},[398,78002],{"width":57841},[3081,78004,78005,78007],{"accent":162},[139,78006,5525],{},[143,78008,42228],{"stretchy":162},[143,78010,358],{},[360,78012,75562],{},[154,78014,78015],{"encoding":156},"\\widehat{\\lambda}=0.0000148\\ /\\text{天},\\qquad \\widehat{\\beta}=1.89",[120,78017,78019,78066,78148],{"className":78018,"ariaHidden":162},[161],[120,78020,78022,78025,78057,78060,78063],{"className":78021},[166],[120,78023],{"className":78024,"style":42254},[170],[120,78026,78028],{"className":78027},[175,3378],[120,78029,78031],{"className":78030},[726],[120,78032,78034],{"className":78033},[731],[120,78035,78037,78045],{"className":78036,"style":42254},[735],[120,78038,78039,78042],{"style":3116},[120,78040],{"className":78041,"style":1133},[743],[120,78043,1442],{"className":78044},[175,176],[120,78046,78048,78051],{"className":78047,"style":71064},[10529],[120,78049],{"className":78050,"style":1133},[743],[120,78052,78053],{"style":42272},[10555,78054,78055],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,78056],{"d":42281},[120,78058],{"className":78059,"style":399},[398],[120,78061,358],{"className":78062},[403],[120,78064],{"className":78065,"style":399},[398],[120,78067,78069,78072,78075,78078,78081,78087,78090,78093,78096,78139,78142,78145],{"className":78068},[166],[120,78070],{"className":78071,"style":47241},[170],[120,78073,75457],{"className":78074},[175],[120,78076,423],{"className":78077},[398],[120,78079,2520],{"className":78080},[175],[120,78082,78084],{"className":78083},[175,419],[120,78085,428],{"className":78086},[175,427],[120,78088,5577],{"className":78089},[5661],[120,78091],{"className":78092,"style":57930},[398],[120,78094],{"className":78095,"style":993},[398],[120,78097,78099],{"className":78098},[175,3378],[120,78100,78102,78131],{"className":78101},[726,727],[120,78103,78105,78128],{"className":78104},[731],[120,78106,78108,78116],{"className":78107,"style":42254},[735],[120,78109,78110,78113],{"style":3116},[120,78111],{"className":78112,"style":1133},[743],[120,78114,5525],{"className":78115,"style":5542},[175,176],[120,78117,78119,78122],{"className":78118,"style":42266},[10529],[120,78120],{"className":78121,"style":1133},[743],[120,78123,78124],{"style":42272},[10555,78125,78126],{"xmlns":10557,"width":42275,"height":42276,"viewBox":42277,"preserveAspectRatio":42278},[10563,78127],{"d":42281},[120,78129,762],{"className":78130},[761],[120,78132,78134],{"className":78133},[731],[120,78135,78137],{"className":78136,"style":30158},[735],[120,78138],{},[120,78140],{"className":78141,"style":399},[398],[120,78143,358],{"className":78144},[403],[120,78146],{"className":78147,"style":399},[398],[120,78149,78151,78154],{"className":78150},[166],[120,78152],{"className":78153,"style":447},[170],[120,78155,75562],{"className":78156},[175],[120,78158,78160],{"className":78159},[1588],[120,78161,78163,78245],{"className":78162},[123],[120,78164,78166],{"className":78165},[127],[129,78167,78168],{"xmlns":131,"display":1597},[133,78169,78170,78242],{},[136,78171,78172,78235],{},[136,78173,78174,78184,78186],{},[629,78175,78176,78178],{},[139,78177,2523],{},[136,78179,78180,78182],{},[139,78181,76203],{},[139,78183,76206],{},[143,78185,358],{},[3621,78187,78188,78229],{},[136,78189,78190,78192,78227],{},[143,78191,3855],{"fence":162},[1043,78193,78194,78203],{},[136,78195,78196,78198,78200],{},[360,78197,25346],{},[143,78199,5577],{"separator":162},[360,78201,78202],{},"000",[136,78204,78205,78207,78209,78211,78213,78215,78217,78219,78221,78223,78225],{},[360,78206,75457],{},[143,78208,2669],{},[143,78210,146],{"stretchy":145},[360,78212,75562],{},[143,78214,669],{},[360,78216,1294],{},[143,78218,152],{"stretchy":145},[143,78220,2669],{},[360,78222,53024],{},[143,78224,5577],{"separator":162},[360,78226,78202],{},[143,78228,3874],{"fence":162},[1043,78230,78231,78233],{},[360,78232,1294],{},[360,78234,75562],{},[136,78236,78237,78239],{},[143,78238,45415],{},[360,78240,78241],{},"892",[154,78243,78244],{"encoding":156},"{T_{OH} = \\left\\lbrack \\frac{50,000}{0.0000148 \\times (1.89 - 1) \\times 10,000} \\right\\rbrack^{\\frac{1}{1.89}}\n}{\\approx 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CPUT 随大修时间的变化：",[62,78562],{"src":78563,"alt":78564,"width":77},"/media/image70.png","最佳大修时间",[21,78566,78567],{},"CPUT 最小时即为最佳大修时间",[21,78569,78570],{},"存在最佳大修间隔需要满足：",[6121,78572,78573,78626],{},[103,78574,78575,78625],{},[120,78576,78578,78595],{"className":78577},[123],[120,78579,78581],{"className":78580},[127],[129,78582,78583],{"xmlns":131},[133,78584,78585,78593],{},[136,78586,78587,78589,78591],{},[139,78588,5525],{},[143,78590,6317],{},[360,78592,1294],{},[154,78594,75367],{"encoding":156},[120,78596,78598,78616],{"className":78597,"ariaHidden":162},[161],[120,78599,78601,78604,78607,78610,78613],{"className":78600},[166],[120,78602],{"className":78603,"style":5538},[170],[120,78605,5525],{"className":78606,"style":5542},[175,176],[120,78608],{"className":78609,"style":399},[398],[120,78611,6317],{"className":78612},[403],[120,78614],{"className":78615,"style":399},[398],[120,78617,78619,78622],{"className":78618},[166],[120,78620],{"className":78621,"style":447},[170],[120,78623,1294],{"className":78624},[175],"，即失效强度随时间上升。",[103,78627,78628],{},"修理成本低于大修成本。",[21,78630,3762,78631,78681],{},[120,78632,78634,78651],{"className":78633},[123],[120,78635,78637],{"className":78636},[127],[129,78638,78639],{"xmlns":131},[133,78640,78641,78649],{},[136,78642,78643,78645,78647],{},[139,78644,5525],{},[143,78646,6141],{},[360,78648,1294],{},[154,78650,75259],{"encoding":156},[120,78652,78654,78672],{"className":78653,"ariaHidden":162},[161],[120,78655,78657,78660,78663,78666,78669],{"className":78656},[166],[120,78658],{"className":78659,"style":5538},[170],[120,78661,5525],{"className":78662,"style":5542},[175,176],[120,78664],{"className":78665,"style":399},[398],[120,78667,6141],{"className":78668},[403],[120,78670],{"className":78671,"style":399},[398],[120,78673,78675,78678],{"className":78674},[166],[120,78676],{"className":78677,"style":447},[170],[120,78679,1294],{"className":78680},[175]," 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