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I","datePublished":"2020-10-31","dateModified":"2020-10-31","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/c9645c498c9701c88b89b8537773dd7c?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b1\/Censored_Data_Example.svg\/250px-Censored_Data_Example.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/b\/b1\/Censored_Data_Example.svg\/250px-Censored_Data_Example.svg.png","height":"120","width":"250"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/1617","about":["Wiki"],"wordCount":6704,"articleBody":"\u7d71\u8a08\u5b66\u3067\u306f\u3001\u6253\u3061\u5207\u308a\uff08\u3046\u3061\u304d\u308a\u3001\u82f1: 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censoring\uff09 – \u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u304c\u7279\u5b9a\u306e\u5024\u3088\u308a\u4e0b\u306b\u3042\u308b\u304c\u3001\u305d\u306e\u91cf\u304c\u3069\u306e\u7a0b\u5ea6\u304b\u306f\u4e0d\u660e\u3002\u533a\u9593\u6253\u3061\u5207\u308a\uff08interval censoring\uff09 – \u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u304c2\u3064\u306e\u5024\u306e\u9593\u306b\u631f\u307e\u308c\u305f\u533a\u9593\u306e\u3069\u3053\u304b\u306b\u3042\u308b\u3002\u53f3\u5074\u6253\u3061\u5207\u308a\uff08right censoring\uff09 – \u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u304c\u3042\u308b\u5024\u3088\u308a\u4e0a\u306b\u3042\u308b\u304c\u3001\u305d\u306e\u91cf\u304c\u3069\u306e\u7a0b\u5ea6\u304b\u306f\u4e0d\u660e\u3002I\u578b\u6253\u3061\u5207\u308a\uff08type I censoring\uff09\u306f\u3001\u5b9f\u9a13\u306e\u88ab\u9a13\u8005\u3084\u30a2\u30a4\u30c6\u30e0\u306e\u6570\u304c\u6c7a\u307e\u3063\u3066\u3044\u3066\u3001\u6240\u5b9a\u306e\u6642\u9593\u3067\u5b9f\u9a13\u3092\u4e2d\u6b62\u3059\u308b\u5834\u5408\u306b\u8d77\u3053\u308b\u3002\u305d\u306e\u6642\u70b9\u3067\u6b8b\u3063\u3066\u3044\u308b\u88ab\u9a13\u8005\u306f\u53f3\u5074\u6253\u3061\u5207\u308a\u3055\u308c\u308b\u3002II\u578b\u6253\u3061\u5207\u308a\uff08type II censoring\uff09\u306f\u3001\u5b9f\u9a13\u306e\u88ab\u9a13\u8005\u3084\u30a2\u30a4\u30c6\u30e0\u306e\u6570\u304c\u6c7a\u307e\u3063\u3066\u3044\u3066\u3001\u6240\u5b9a\u306e\u6570\u306e\u88ab\u9a13\u8005\u304c\u6545\u969c\uff08\u4f8b\uff1a\u7f79\u60a3\uff09\u3057\u305f\u3068\u89b3\u6e2c\u3055\u308c\u305f\u6642\u70b9\u3067\u5b9f\u9a13\u3092\u4e2d\u6b62\u3059\u308b\u5834\u5408\u306b\u8d77\u3053\u308b\u3002\u305d\u306e\u5f8c\u3001\u88ab\u9a13\u8005\u306f\u53f3\u5074\u6253\u3061\u5207\u308a\u3055\u308c\u308b\u3002\u30e9\u30f3\u30c0\u30e0\uff08\u307e\u305f\u306f\u975e\u60c5\u5831\u7684\uff09\u6253\u3061\u5207\u308a\uff08Random (or non-informative) censoring\uff09\u306f\u3001\u5404\u88ab\u9a13\u8005\u306e\u6253\u3061\u5207\u308a\u6642\u9593\u304c\u3001\u4e8b\u8c61\u767a\u751f\u6642\u9593\u3068\u7d71\u8a08\u7684\u306b\u72ec\u7acb\u3057\u3066\u3044\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u305d\u306e\u89b3\u6e2c\u5024\u306f\u3001\u6253\u3061\u5207\u308a\u6642\u9593\u3068\u4e8b\u8c61\u767a\u751f\u6642\u9593\u3068\u306e\u6700\u5c0f\u5024\u3067\u3042\u308a\u3001\u4e8b\u8c61\u767a\u751f\u6642\u9593\u304c\u6253\u3061\u5207\u308a\u6642\u9593\u3088\u308a\u3082\u9577\u3044\u88ab\u9a13\u8005\u306f\u53f3\u5074\u6253\u3061\u5207\u308a\u3068\u306a\u308b\u3002\u533a\u9593\u6253\u3061\u5207\u308a\u306f\u3001\u3042\u308b\u5024\u3092\u89b3\u6e2c\u3059\u308b\u305f\u3081\u306b\u8ffd\u8de1\u8abf\u67fb\u3084\u691c\u67fb\u304c\u5fc5\u8981\u306a\u5834\u5408\u306b\u8d77\u3053\u308b\u3002\u5de6\u5074\u6253\u3061\u5207\u308a\u3068\u53f3\u5074\u6253\u3061\u5207\u308a\u306f\u3001\u533a\u9593\u6253\u3061\u5207\u308a\u306e\u7279\u5225\u306a\u5834\u5408\u3067\u3001\u305d\u308c\u305e\u308c\u533a\u9593\u306e\u59cb\u307e\u308a\u3092\u30bc\u30ed\u3001\u7d42\u308f\u308a\u306f\u7121\u9650\u5927\u3068\u3059\u308b\u3002\u5de6\u5074\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u3092\u7528\u3044\u305f\u63a8\u5b9a\u65b9\u6cd5\u306f\u3055\u307e\u3056\u307e\u3067\u3042\u308a\u3001\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3059\u3079\u3066\u306e\u63a8\u5b9a\u65b9\u6cd5\u304c\u9069\u7528\u3067\u304d\u308b\u3068\u306f\u9650\u3089\u305a\u3001\u307e\u305f\u6700\u3082\u4fe1\u983c\u3067\u304d\u308b\u3068\u306f\u9650\u3089\u306a\u3044[1]\u3002\u6642\u9593\u9593\u9694\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u3088\u304f\u3042\u308b\u8aa4\u89e3\u306f\u3001\u958b\u59cb\u6642\u523b\u304c\u4e0d\u660e\u306a\u533a\u9593\u3092\u5de6\u5074\u6253\u3061\u5207\u308a\u3068\u3057\u3066\u5206\u985e\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u3067\u306f\u3001\u300c\u6642\u9593\u9593\u9694\u300d\u306e\u4e0b\u9650\u304c\u3042\u308b\u306e\u3067\u3001\u30c7\u30fc\u30bf\u306f\u300c\u53f3\u5074\u6253\u3061\u5207\u308a\u300d\u306b\u306a\u308b\uff08\u30bf\u30a4\u30e0\u30e9\u30a4\u30f3\u3068\u3057\u3066\u898b\u305f\u3068\u304d\u3001\u6b20\u843d\u3057\u305f\u958b\u59cb\u70b9\u306f\u65e2\u77e5\u306e\u9593\u9694\u306e\u5de6\u5074\u306b\u3042\u308b\u306b\u3082\u304b\u304b\u308f\u3089\u305a\uff01\uff09\u3002\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u306b\u3001\u7279\u5225\u306a\u624b\u6cd5\u304c\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308b\u3002\u7279\u5b9a\u306e\u6545\u969c\u6642\u9593\u3092\u6301\u3063\u305f\u8a66\u9a13\u306f\u3001\u5b9f\u969b\u306e\u6545\u969c\u3068\u3057\u3066\u7b26\u53f7\u5316\u3055\u308c\u308b\u3002\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u306f\u3001\u6253\u3061\u5207\u308a\u306e\u7a2e\u985e\u3068\u3001\u65e2\u77e5\u306e\u533a\u9593\u307e\u305f\u306f\u9650\u754c\u5024\u3068\u3057\u3066\u7b26\u53f7\u5316\u3055\u308c\u308b\u3002\u7279\u5225\u306a\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u30d7\u30ed\u30b0\u30e9\u30e0\uff08\u591a\u304f\u306f\u4fe1\u983c\u6027\u6307\u5411\uff09\u306f\u3001\u8981\u7d04\u7d71\u8a08\u91cf\u3084\u4fe1\u983c\u533a\u9593\u306a\u3069\u306e\u6700\u5c24\u63a8\u5b9a\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u3002Table of Contents\u75ab\u5b66[\u7de8\u96c6]\u52d5\u4f5c\u5bff\u547d\u8a66\u9a13[\u7de8\u96c6]\u6253\u3061\u5207\u308a\u56de\u5e30[\u7de8\u96c6]\u5c24\u5ea6[\u7de8\u96c6]\u53c2\u7167\u9805\u76ee[\u7de8\u96c6]\u63a8\u85a6\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u75ab\u5b66[\u7de8\u96c6]\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u3092\u542b\u3080\u7d71\u8a08\u7684\u554f\u984c\u3092\u5206\u6790\u3059\u308b\u6700\u521d\u306e\u8a66\u307f\u306e1\u3064\u306f\u30011766\u5e74\u3001\u30c0\u30cb\u30a8\u30eb\u30fb\u30d9\u30eb\u30cc\u30fc\u30a4\u304c\u5929\u7136\u75d8\u306e\u7f79\u60a3\u7387\u3068\u6b7b\u4ea1\u7387\u306e\u30c7\u30fc\u30bf\u3092\u5206\u6790\u3057\u3001\u30ef\u30af\u30c1\u30f3\u63a5\u7a2e\u306e\u6709\u52b9\u6027\u3092\u5b9f\u8a3c\u3057\u305f\u3053\u3068\u3067\u3042\u308b[2]\u3002\u6253\u3061\u5207\u308a\u30b3\u30b9\u30c8\u306e\u63a8\u5b9a\u306b\u30ab\u30d7\u30e9\u30f3\uff1d\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u3092\u4f7f\u3063\u305f\u521d\u671f\u306e\u8ad6\u6587\u304cQuesenberry\u3089\uff081989\uff09\u306b\u3088\u3063\u3066\u8457\u3055\u308c\u305f\u304c[3]\u3001\u3059\u3079\u3066\u306e\u60a3\u8005\u304c\u6642\u9593\u3068\u3068\u3082\u306b\u5171\u901a\u306e\u6c7a\u5b9a\u8ad6\u7684\u30ec\u30fc\u30c8\u95a2\u6570\u3067\u30b3\u30b9\u30c8\u3092\u84c4\u7a4d\u3057\u306a\u3044\u9650\u308a\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u7121\u52b9\u3067\u3042\u308b\u3053\u3068\u304cLin\u3089\u306b\u3088\u3063\u3066\u5831\u544a\u3055\u308c\u305f[4]\u3002\u5f7c\u3089\u306f\u3001Lin\u63a8\u5b9a\u91cf\u3068\u3057\u3066\u77e5\u3089\u308c\u308b\u4ee3\u66ff\u306e\u63a8\u5b9a\u624b\u6cd5\u3092\u63d0\u6848\u3057\u305f[5]\u3002\u52d5\u4f5c\u5bff\u547d\u8a66\u9a13[\u7de8\u96c6]    \u4fe1\u983c\u6027\u8a66\u9a13\u306f\u3001\u591a\u304f\u306e\u5834\u5408\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u4e0b\u3067\u30a2\u30a4\u30c6\u30e0\u306b\u5bfe\u3057\u3066\u8a66\u9a13\u3092\u884c\u3044\u3001\u6545\u969c\u304c\u767a\u751f\u3059\u308b\u307e\u3067\u306e\u6642\u9593\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u3002\u30aa\u30da\u30ec\u30fc\u30bf\u30fc\u306e\u8aa4\u308a\u3001\u6a5f\u5668\u306e\u4e0d\u5177\u5408\u3001\u691c\u67fb\u306e\u7570\u5e38\u306a\u3069\u3001\u6545\u969c\u304c\u8a08\u753b\u3055\u308c\u3066\u4e88\u671f\u3055\u308c\u3066\u3044\u3066\u3082\u767a\u751f\u3057\u306a\u3044\u3053\u3068\u304c\u3042\u308b\u3002\u305d\u306e\u8a66\u9a13\u7d50\u679c\u306f\u3001\u671b\u307e\u3057\u3044\u6545\u969c\u767a\u751f\u307e\u3067\u306e\u6642\u9593\u3067\u306f\u306a\u304b\u3063\u305f\u304c\u3001\u7d42\u4e86\u307e\u3067\u306e\u6642\u9593\u3068\u3057\u3066\u7528\u3044\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff08\u307e\u305f\u3001\u305d\u3046\u3059\u3079\u304d\u3067\u3042\u308b\uff09\u3002\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u306e\u4f7f\u7528\u306f\u610f\u56f3\u7684\u3067\u306f\u306a\u3044\u304c\u3001\u5fc5\u8981\u306a\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30f3\u30b8\u30cb\u30a2\u304c\u8a66\u9a13\u8a08\u753b\u3092\u4f5c\u6210\u3059\u308b\u969b\u306b\u3001\u3042\u308b\u4e00\u5b9a\u306e\u6642\u9593\u5236\u9650\u307e\u305f\u306f\u6545\u969c\u56de\u6570\u3092\u8d85\u3048\u305f\u3089\u3001\u6b8b\u308a\u306e\u3059\u3079\u3066\u306e\u8a66\u9a13\u3092\u7d42\u4e86\u3055\u305b\u308b\u3053\u3068\u304c\u3042\u308b\u3002\u3053\u308c\u3089\u306e\u4e2d\u65ad\u6642\u9593\u306f\u3001\u53f3\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u3068\u3057\u3066\u6271\u308f\u308c\u308b\u3002\u305d\u306e\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u306e\u4f7f\u7528\u306f\u610f\u56f3\u7684\u306a\u3082\u306e\u3067\u3042\u308b\u3002\u53cd\u5fa9\u8a66\u9a13\u306e\u30c7\u30fc\u30bf\u306e\u5206\u6790\u306b\u306f\u3001\u6545\u969c\u3057\u305f\u30a2\u30a4\u30c6\u30e0\u306e\u6545\u969c\u307e\u3067\u306e\u6642\u9593\u3068\u3001\u6545\u969c\u3057\u306a\u304b\u3063\u305f\u30a2\u30a4\u30c6\u30e0\u306e\u8a66\u9a13\u7d42\u4e86\u307e\u3067\u306e\u6642\u9593\u306e\u4e21\u65b9\u304c\u542b\u307e\u308c\u308b\uff08\u56f3\u3092\u53c2\u7167\uff09\u3002\u6253\u3061\u5207\u308a\u56de\u5e30[\u7de8\u96c6]\u6253\u3061\u5207\u308a\u56de\u5e30\uff08\u82f1\u8a9e\u7248\uff09\u306e\u521d\u671f\u306e\u30e2\u30c7\u30eb\u3067\u3042\u308b\u30c8\u30fc\u30d3\u30f3\u30fb\u30e2\u30c7\u30eb\u00a0(\u82f1\u8a9e\u7248)\u00a0\u306f\u30011958\u5e74\u306b\u30b8\u30a7\u30fc\u30e0\u30ba\u30fb\u30c8\u30fc\u30d3\u30f3\u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u305f[6]\u3002\u5c24\u5ea6[\u7de8\u96c6]\u5c24\u5ea6\uff08\u3086\u3046\u3069\uff09\u3068\u306f\u3001\u89b3\u6e2c\u3055\u308c\u305f\u5024\u306e\u78ba\u7387\u307e\u305f\u306f\u78ba\u7387\u5bc6\u5ea6\u306e\u3053\u3068\u3067\u3042\u308a\u3001\u60f3\u5b9a\u3055\u308c\u308b\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u95a2\u6570\u3068\u3057\u3066\u793a\u3055\u308c\u308b\u3002\u751f\u5b58\u6642\u9593   T1,T2,...,Tn{displaystyle T_{1},T_{2},…,T_{n}} \u306b\u8208\u5473\u304c\u3042\u308b\u304c\u3001\u3059\u3079\u3066\u306e i{displaystyle i} \u306b\u3064\u3044\u3066 Ti{displaystyle T_{i}} \u3092\u89b3\u6e2c\u3057\u3066\u3044\u306a\u3044\u3068\u3057\u3088\u3046\u3002\u305d\u306e\u4ee3\u308f\u308a\u306b\u3001  Ti{displaystyle T_{i}} \u304c\u5b9f\u969b\u306b\u89b3\u6e2c\u3055\u308c\u3066\u3044\u308c\u3070\u3001Ui=Ti{displaystyle U_{i}=T_{i}} \u3001 \u03b4i=1{displaystyle delta _{i}=1} \u3068\u306a\u308b (Ui,\u03b4i){displaystyle (U_{i},delta _{i})} \u3092\u89b3\u6e2c\u3057\u3001Ti{displaystyle T_{i}} \u304c Ui{displaystyle U_{i}} \u3088\u308a\u3082\u9577\u3044\u3068\u3044\u3046\u3053\u3068\u3060\u3051\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\u3001Uii){displaystyle (U_{i},delta _{i})} \u3092\u89b3\u6e2c\u3059\u308b\u3002U_{i}}”\/> \u306e\u5834\u5408\u3001Ui{displaystyle U_{i}} \u306f\u6253\u3061\u5207\u308a\u6642\u9593\uff08censoring time\uff09\u3068\u547c\u3070\u308c\u308b[7]\u3002\u6253\u3061\u5207\u308a\u6642\u9593\u304c\u3059\u3079\u3066\u65e2\u77e5\u306e\u5b9a\u6570\u3067\u3042\u308b\u5834\u5408\u3001\u5c24\u5ea6\u306f\u3001L=\u220fi,\u03b4i=1f(ui)\u220fi,\u03b4i=0S(ui){displaystyle L=prod _{i,delta _{i}=1}f(u_{i})prod _{i,delta _{i}=0}S(u_{i})}\u3068\u306a\u308a\u3001\u3053\u3053\u306b\u3001f(ui){displaystyle f(u_{i})} \u306f ui{displaystyle u_{i}} \u3067\u8a55\u4fa1\u3057\u305f\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3001S(ui){displaystyle S(u_{i})} \u306f Ti{displaystyle T_{i}} \u304c ui{displaystyle u_{i}} \u3088\u308a\u5927\u304d\u304f\u306a\u308b\u78ba\u7387\u3067\u3001\u751f\u5b58\u95a2\u6570\u3068\u547c\u3070\u308c\u308b\u3002\u3053\u308c\u306f\u3001\u6b7b\u4ea1\u7387\u306e\u77ac\u9593\u7684\u306a\u6b7b\u529b\u3067\u3042\u308b\u30cf\u30b6\u30fc\u30c9\u95a2\u6570\u3092\u03bb(u)=f(u)\/S(u){displaystyle lambda (u)=f(u)\/S(u)}\u3068\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3067\u7c21\u7565\u5316\u3067\u304d\u3001f(u)=\u03bb(u)S(u){displaystyle f(u)=lambda (u)S(u)}\u3068\u306a\u308b\u3002\u3053\u306e\u3068\u304d\u3001L=\u220fi\u03bb(ui)\u03b4iS(ui){displaystyle L=prod _{i}lambda (u_{i})^{delta _{i}}S(u_{i})}\u3068\u306a\u308b\u3002\u6307\u6570\u5206\u5e03\u306e\u5834\u5408\u306f\u3001\u30cf\u30b6\u30fc\u30c9\u7387 \u03bb{displaystyle lambda } \u304c\u4e00\u5b9a\u306a\u306e\u3067\u3001S(u)=exp\u2061(\u2212\u03bbu){displaystyle S(u)=exp(-lambda u)} \u3068\u306a\u308a\u3001\u3055\u3089\u306b\u5358\u7d14\u306b\u306a\u308b\u3002\u3053\u306e\u3068\u304d\u3001L(\u03bb)=\u03bbkexp\u2061(\u2212\u03bb\u2211ui){displaystyle L(lambda )=lambda ^{k}exp(-lambda sum {u_{i}})}\u3068\u306a\u308a\u3001\u3053\u3053\u306b k=\u2211\u03b4i{displaystyle k=sum {delta _{i}}} \u3067\u3042\u308b\u3002\u3053\u308c\u304b\u3089\u3001\u03bb^{displaystyle {hat {lambda }}} \u3092\u7c21\u5358\u306b\u8a08\u7b97\u3057\u3001\u03bb{displaystyle lambda } \u306e\u6700\u5c24\u63a8\u5b9a\u5024\uff08MLE\uff09\u3092\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002l(\u03bb)=log\u2061(L(\u03bb))=klog\u2061(\u03bb)\u2212\u03bb\u2211ui{displaystyle l(lambda )=log(L(lambda ))=klog(lambda )-lambda sum {u_{i}}}\u3053\u306e\u3068\u304d\u3001dl\/d\u03bb=k\/\u03bb\u2212\u2211ui{displaystyle dl\/dlambda =k\/lambda -sum {u_{i}}}\u3068\u306a\u308b\u3002\u3053\u308c\u3092 0 \u3068\u3057\u3066 \u03bb{displaystyle lambda } \u3092\u89e3\u304f\u3068\u3001\u03bb^=k\/\u2211ui{displaystyle {hat {lambda }}=k\/sum u_{i}}\u3068\u306a\u308b\u3002\u540c\u69d8\u306b\u3001\u5e73\u5747\u521d\u56de\u6545\u969c\u9593\u9694\uff08\u82f1\u8a9e\u7248\uff09\u306f\u30011\/\u03bb^=\u2211ui\/k{displaystyle 1\/{hat {lambda }}=sum u_{i}\/k}\u3068\u306a\u308b\u3002\u3053\u308c\u306f\u3001\u6307\u6570\u5206\u5e03\u306e\u6a19\u6e96MLE\u3068\u306f\u7570\u306a\u308a\u3001\u6253\u3061\u5207\u308a\u89b3\u6e2c\u5024\u306f\u5206\u5b50\u3067\u306e\u307f\u8003\u616e\u3055\u308c\u308b\u3002\u53c2\u7167\u9805\u76ee[\u7de8\u96c6]^ Helsel, D. (2010). \u201cMuch Ado About Next to Nothing: Incorporating Nondetects in Science\u201d. Annals of Occupational Hygiene 54 (3):  257\u2013262. doi:10.1093\/annhyg\/mep092. PMID\u00a020032004.\u00a0^ Bernoulli, D. (1766). \u201cEssai d’une nouvelle analyse de la mortalit\u00e9 caus\u00e9e par la petite v\u00e9role\u201d. Mem. Math. Phy. Acad. Roy. Sci. Paris,\u00a0 reprinted in Bradley (1971) 21 and Blower (2004)^ Quesenberry, C. P., Jr. et al. (1989). \u201cA survival analysis of hospitalization among patients with acquired immunodeficiency syndrome\u201d. American Journal of Public Health 79 (12):  1643\u20131647. doi:10.2105\/AJPH.79.12.1643. PMC\u00a01349769. PMID\u00a02817192. https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC1349769\/.\u00a0^ Lin, D. Y. et al. (1997). \u201cEstimating medical costs from incomplete follow-up data\u201d. Biometrics 53 (2):  419\u2013434. doi:10.2307\/2533947. JSTOR\u00a02533947. PMID\u00a09192444.\u00a0^ Wijeysundera, H. C. et al. (2012). \u201cTechniques for estimating health care costs with censored data: an overview for the health services researcher\u201d. ClinicoEconomics and Outcomes Research 4:  145\u2013155. doi:10.2147\/CEOR.S31552. PMC\u00a03377439. PMID\u00a022719214. https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC3377439\/.\u00a0^ Tobin, James (1958). \u201cEstimation of relationships for limited dependent variables\u201d. Econometrica 26 (1):  24\u201336. doi:10.2307\/1907382. JSTOR\u00a01907382. http:\/\/cowles.yale.edu\/sites\/default\/files\/files\/pub\/d00\/d0003-r.pdf.\u00a0^ Lu Tian, Likelihood Construction, Inference for Parametric Survival Distributions, https:\/\/web.stanford.edu\/~lutian\/coursepdf\/unit2.pdf\u00a0, Wikidata\u00a0Q98961801.\u63a8\u85a6\u6587\u732e[\u7de8\u96c6]Blower, S. (2004), D, Bernoulli’s “\u201cAn attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it\u201d. 2019\u5e746\u670825\u65e5\u95b2\u89a7\u3002\u00a0(146\u00a0KiB)“, Reviews of Medical Virology, 14: 275\u2013288Bradley, L. (1971). Smallpox Inoculation: An Eighteenth Century Mathematical Controversy. Nottingham. ISBN\u00a00-902031-23-6\u00a0Mann, N. R. (1975). Methods for Statistical Analysis of Reliability and Life Data. New York: Wiley. ISBN\u00a0047156737X. https:\/\/archive.org\/details\/methodsforstatis00mann\u00a0Bagdonavicius, V., Kruopis, J., Nikulin, M.S. (2011),”Non-parametric Tests for Censored Data”, London, ISTE\/WILEY,9781848212893.\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]“Engineering Statistics Handbook”, NIST\/SEMATEK, [1]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/1617#breadcrumbitem","name":"\u6253\u3061\u5207\u308a (\u7d71\u8a08\u5b66) – Wikipedia"}}]}]