[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/711#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/711","headline":"\u30ab\u30d7\u30e9\u30f3\uff1d\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf – Wikipedia","name":"\u30ab\u30d7\u30e9\u30f3\uff1d\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf – Wikipedia","description":"\u60a3\u8005\u306e\u751f\u5b58\u306b\u95a2\u9023\u3059\u308b2\u3064\u306e\u6761\u4ef6\u306b\u3064\u3044\u3066\u306e\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u30d7\u30ed\u30c3\u30c8\u306e\u4e00\u4f8b\u3002 \u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\uff08\u82f1: Kaplan-Meier estimator\uff09\u306f[1][2]\u3001\u7a4d\u6975\u9650\u63a8\u5b9a\u91cf\uff08\u82f1: product limit estimator\uff09\u3068\u3082\u547c\u3070\u308c\u3001\u751f\u5b58\u30c7\u30fc\u30bf\u304b\u3089\u751f\u5b58\u95a2\u6570\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u308b\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u7d71\u8a08\u91cf\u3067\u3042\u308b\u3002\u533b\u5b66\u7814\u7a76\u3067\u306f\u3001\u6cbb\u7642\u5f8c\u306b\u4e00\u5b9a\u671f\u9593\u751f\u5b58\u3057\u3066\u3044\u308b\u60a3\u8005\u306e\u5272\u5408\u3092\u6e2c\u5b9a\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u308f\u308c\u308b\u3002\u4ed6\u306e\u5206\u91ce\u3067\u306f\u3001\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u3092\u7528\u3044\u3066\u3001\u5931\u696d\u5f8c\u306b\u4eba\u3005\u304c\u5931\u696d\u3057\u3066\u3044\u308b\u671f\u9593\u306e\u9577\u3055\u3084[3]\u3001\u6a5f\u68b0\u90e8\u54c1\u306e\u6545\u969c\u307e\u3067\u306e\u6642\u9593\u3084\u3001\u679c\u5b9f\u98df\u52d5\u7269\uff08\u82f1\u8a9e\u7248\uff09\u306b\u98df\u3079\u3089\u308c\u3066\u3057\u307e\u3046\u307e\u3067\u306e\u8089\u679c\u306e\u6b8b\u5b58\u671f\u9593\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3053\u306e\u63a8\u5b9a\u91cf\u306f\u3001Edward L. Kaplan\u3068Paul Meier\u304c\u7c73\u56fd\u7d71\u8a08\u5b66\u4f1a\u8a8c\uff08Journal of the American Statistical Association\uff09\u306b\u5225\u3005\u306b\u539f\u7a3f\u3092\u63d0\u51fa\u3057\u305f\u3053\u3068\u306b\u3061\u306a\u3093\u3067\u547d\u540d\u3055\u308c\u305f[4]\u3002\u30b8\u30e3\u30fc\u30ca\u30eb\u7de8\u96c6\u8005\u306eJohn Tukey\u306f\u3001\u5f7c\u3089\u306e\u7814\u7a76\u30921\u3064\u306e\u8ad6\u6587\u306b\u307e\u3068\u3081\u308b\u3088\u3046\u8aac\u5f97\u3057\u305f\u3002\u3053\u306e\u8ad6\u6587\u306f1958\u5e74\u306b\u767a\u8868\u3055\u308c\u3066\u4ee5\u6765\u3001\u7d0461,000\u56de\u3082\u5f15\u7528\u3055\u308c\u3066\u3044\u308b[5][6]\u3002 \u305d\u306e\u751f\u5b58\u95a2\u6570 S(t){displaystyle S(t)} \uff08\u5bff\u547d\u304c","datePublished":"2021-06-25","dateModified":"2022-09-14","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\/7\/73\/Km_plot.jpg\/250px-Km_plot.jpg","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/73\/Km_plot.jpg\/250px-Km_plot.jpg","height":"215","width":"250"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/711","about":["Wiki"],"wordCount":19934,"articleBody":"  \u60a3\u8005\u306e\u751f\u5b58\u306b\u95a2\u9023\u3059\u308b2\u3064\u306e\u6761\u4ef6\u306b\u3064\u3044\u3066\u306e\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u30d7\u30ed\u30c3\u30c8\u306e\u4e00\u4f8b\u3002\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\uff08\u82f1: Kaplan-Meier estimator\uff09\u306f[1][2]\u3001\u7a4d\u6975\u9650\u63a8\u5b9a\u91cf\uff08\u82f1: product limit estimator\uff09\u3068\u3082\u547c\u3070\u308c\u3001\u751f\u5b58\u30c7\u30fc\u30bf\u304b\u3089\u751f\u5b58\u95a2\u6570\u3092\u63a8\u5b9a\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u308b\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u7d71\u8a08\u91cf\u3067\u3042\u308b\u3002\u533b\u5b66\u7814\u7a76\u3067\u306f\u3001\u6cbb\u7642\u5f8c\u306b\u4e00\u5b9a\u671f\u9593\u751f\u5b58\u3057\u3066\u3044\u308b\u60a3\u8005\u306e\u5272\u5408\u3092\u6e2c\u5b9a\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u308f\u308c\u308b\u3002\u4ed6\u306e\u5206\u91ce\u3067\u306f\u3001\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u3092\u7528\u3044\u3066\u3001\u5931\u696d\u5f8c\u306b\u4eba\u3005\u304c\u5931\u696d\u3057\u3066\u3044\u308b\u671f\u9593\u306e\u9577\u3055\u3084[3]\u3001\u6a5f\u68b0\u90e8\u54c1\u306e\u6545\u969c\u307e\u3067\u306e\u6642\u9593\u3084\u3001\u679c\u5b9f\u98df\u52d5\u7269\uff08\u82f1\u8a9e\u7248\uff09\u306b\u98df\u3079\u3089\u308c\u3066\u3057\u307e\u3046\u307e\u3067\u306e\u8089\u679c\u306e\u6b8b\u5b58\u671f\u9593\u3092\u6e2c\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u3053\u306e\u63a8\u5b9a\u91cf\u306f\u3001Edward L. Kaplan\u3068Paul Meier\u304c\u7c73\u56fd\u7d71\u8a08\u5b66\u4f1a\u8a8c\uff08Journal of the American Statistical Association\uff09\u306b\u5225\u3005\u306b\u539f\u7a3f\u3092\u63d0\u51fa\u3057\u305f\u3053\u3068\u306b\u3061\u306a\u3093\u3067\u547d\u540d\u3055\u308c\u305f[4]\u3002\u30b8\u30e3\u30fc\u30ca\u30eb\u7de8\u96c6\u8005\u306eJohn Tukey\u306f\u3001\u5f7c\u3089\u306e\u7814\u7a76\u30921\u3064\u306e\u8ad6\u6587\u306b\u307e\u3068\u3081\u308b\u3088\u3046\u8aac\u5f97\u3057\u305f\u3002\u3053\u306e\u8ad6\u6587\u306f1958\u5e74\u306b\u767a\u8868\u3055\u308c\u3066\u4ee5\u6765\u3001\u7d0461,000\u56de\u3082\u5f15\u7528\u3055\u308c\u3066\u3044\u308b[5][6]\u3002  \u305d\u306e\u751f\u5b58\u95a2\u6570 S(t){displaystyle S(t)} \uff08\u5bff\u547d\u304c   t{displaystyle t} \u3088\u308a\u9577\u304f\u306a\u308b\u78ba\u7387\uff09\u306e\u63a8\u5b9a\u91cf\u306f\u6b21\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002S^(t)=\u220fi:\u00a0ti\u2264t(1\u2212dini),{displaystyle {widehat {S}}(t)=prod limits _{i: t_{i}leq t}left(1-{frac {d_{i}}{n_{i}}}right),}\u3053\u3053\u306b\u3001 ti{displaystyle t_{i}} \u306f\u5c11\u306a\u304f\u3068\u30821\u3064\u306e\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3057\u305f\u6642\u523b\u3001  di{displaystyle d_{i}} \u306f\u6642\u523b ti{displaystyle t_{i}} \u3067\u767a\u751f\u3057\u305f\u30a4\u30d9\u30f3\u30c8\u306e\u6570\uff08\u305f\u3068\u3048\u3070\u3001\u6b7b\u4ea1\uff09\u3001\u305d\u3057\u3066 ni{displaystyle n_{i}} \u306f\u6642\u523b ti{displaystyle t_{i}} \u307e\u3067\u751f\u5b58\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u3063\u3066\u3044\u308b\uff08\u307e\u3060\u30a4\u30d9\u30f3\u30c8\u304c\u767a\u751f\u3057\u3066\u3044\u306a\u3044\u304b\u3001\u6253\u3061\u5207\u3089\u308c\u3066\u3044\u306a\u3044\uff09\u500b\u4f53\u306e\u6570\u3067\u3042\u308b\u3002Table of Contents\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9[\u7de8\u96c6]\u554f\u984c\u306e\u5b9a\u7fa9[\u7de8\u96c6]\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u306e\u5c0e\u51fa[\u7de8\u96c6]\u30ca\u30a4\u30fc\u30d6\u63a8\u5b9a\u91cf[\u7de8\u96c6]\u30d7\u30e9\u30b0\u30a4\u30f3\u30a2\u30d7\u30ed\u30fc\u30c1[\u7de8\u96c6]\u6700\u5c24\u63a8\u5b9a\u91cf\u3068\u3057\u3066\u306e\u5c0e\u51fa[\u7de8\u96c6]\u5229\u70b9\u3068\u9650\u754c[\u7de8\u96c6]\u7d71\u8a08\u5b66\u7684\u8003\u5bdf[\u7de8\u96c6]\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2[\u7de8\u96c6]\u53c2\u7167\u9805\u76ee[\u7de8\u96c6]\u63a8\u85a6\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9[\u7de8\u96c6]\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u306e\u30d7\u30ed\u30c3\u30c8\u306f\u3001\u4e00\u9023\u306e\u6e1b\u5c11\u3059\u308b\u6c34\u5e73\u30b9\u30c6\u30c3\u30d7\u306e\u7cfb\u5217\u3067\u3042\u308a\u3001\u5341\u5206\u306b\u5927\u304d\u306a\u6a19\u672c\u30b5\u30a4\u30ba\u306e\u6642\u306b\u3001\u305d\u306e\u6bcd\u96c6\u56e3\u306e\u771f\u306e\u751f\u5b58\u95a2\u6570\u306b\u8fd1\u3065\u304f\u3002\u9023\u7d9a\u3059\u308b\u5225\u500b\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3055\u308c\u305f\u89b3\u6e2c\u5024\uff08\u30ab\u30c1\u30c3\u3068\u97f3\u304c\u3059\u308b\uff09\u9593\u306e\u751f\u5b58\u95a2\u6570\u306e\u5024\u306f\u4e00\u5b9a\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3055\u308c\u308b\u3002\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u66f2\u7dda\u306e\u91cd\u8981\u306a\u5229\u70b9\u306f\u3001\u3053\u306e\u624b\u6cd5\u304c\u3044\u304f\u3064\u304b\u306e\u30bf\u30a4\u30d7\u306e\u6253\u3061\u5207\u308a\u30c7\u30fc\u30bf\u3001\u7279\u306b\u60a3\u8005\u304c\u7814\u7a76\u304b\u3089\u96e2\u8131\u3057\u305f\u5834\u5408\u3001\u307e\u305f\u306f\u30d5\u30a9\u30ed\u30fc\u30a2\u30c3\u30d7\u306b\u5931\u6557\u3057\u305f\u5834\u5408\u3001\u307e\u305f\u306f\u30a4\u30d9\u30f3\u30c8\u306a\u3057\u3067\u751f\u5b58\u3057\u3066\u3044\u308b\u5834\u5408\u306b\u767a\u751f\u3059\u308b\u300c\u53f3\u5074\u6253\u3061\u5207\u308a\u300d\uff08right-censoring\uff09\u3092\u8003\u616e\u306b\u5165\u308c\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30d7\u30ed\u30c3\u30c8\u4e0a\u3067\u306f\u3001\u5c0f\u3055\u306a\u7e26\u306e\u76ee\u76db\u308a\u304c\u3001\u751f\u5b58\u6642\u9593\u304c\u53f3\u5074\u6253\u3061\u5207\u308a\u3055\u308c\u305f\u500b\u3005\u306e\u60a3\u8005\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u5207\u308a\u6368\u3066\u3084\u6253\u3061\u5207\u308a\u304c\u884c\u308f\u308c\u306a\u3044\u5834\u5408\u3001\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u66f2\u7dda\u306f\u3001\u7d4c\u9a13\u5206\u5e03\u95a2\u6570\uff08\u82f1\u8a9e\u7248\uff09\u306e\u88dc\u96c6\u5408\u3067\u3042\u308b\u3002\u533b\u5b66\u7d71\u8a08\u5b66\uff08\u82f1\u8a9e\u7248\uff09\u3067\u306f\u3001\u4e00\u822c\u7684\u306a\u5fdc\u7528\u4f8b\u3068\u3057\u3066\u3001\u305f\u3068\u3048\u3070\u907a\u4f1d\u5b50A\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u3092\u6301\u3064\u60a3\u8005\u3068\u907a\u4f1d\u5b50B\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u3092\u6301\u3064\u60a3\u8005\u306e\u3088\u3046\u306b\u3001\u60a3\u8005\u3092\u30ab\u30c6\u30b4\u30ea\u30fc\u306b\u5206\u985e\u3059\u308b\u3053\u3068\u304c\u3042\u308b\u3002\u3053\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3001\u907a\u4f1d\u5b50B\u3092\u6301\u3064\u60a3\u8005\u306f\u3001\u907a\u4f1d\u5b50A\u3092\u6301\u3064\u60a3\u8005\u3088\u308a\u3082\u65e9\u304f\u6b7b\u4ea1\u3059\u308b\u30022\u5e74\u5f8c\u306e\u751f\u5b58\u7387\u306f\u3001\u907a\u4f1d\u5b50A\u306e\u60a3\u8005\u3067\u306f\u7d0480%\u3060\u304c\u3001\u907a\u4f1d\u5b50B\u306e\u60a3\u8005\u3067\u306f\u534a\u5206\u672a\u6e80\u3067\u3042\u308b\u3002\u30ab\u30d7\u30e9\u30f3=\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf\u3092\u4f5c\u6210\u3059\u308b\u306b\u306f\u3001\u5404\u60a3\u8005\uff08\u307e\u305f\u306f\u5404\u88ab\u9a13\u8005\uff09\u306b\u3064\u3044\u3066\u3001\u5c11\u306a\u304f\u3068\u30822\u500b\u306e\u30c7\u30fc\u30bf\u304c\u5fc5\u8981\u3067\u3042\u308b\u3002\u305d\u308c\u3089\u306f\u3001\u6700\u5f8c\u306e\u89b3\u5bdf\u6642\u306e\u72b6\u614b\uff08\u30a4\u30d9\u30f3\u30c8\u767a\u751f\u307e\u305f\u306f\u53f3\u5074\u6253\u3061\u5207\u308a\uff09\u3068\u3001\u30a4\u30d9\u30f3\u30c8\u767a\u751f\u307e\u3067\u306e\u6642\u9593\uff08\u307e\u305f\u306f\u6253\u3061\u5207\u308a\u307e\u3067\u306e\u6642\u9593\uff09\u306e\u5bfe\u304b\u3089\u306a\u308b\u30022\u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u751f\u5b58\u95a2\u6570\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u30013\u756a\u76ee\u306e\u30c7\u30fc\u30bf\u304c\u5fc5\u8981\u3067\u3001\u305d\u308c\u306f\u5404\u88ab\u9a13\u8005\u306e\u30b0\u30eb\u30fc\u30d7\u5272\u308a\u5f53\u3066\u3067\u3042\u308b[7]\u3002\u554f\u984c\u306e\u5b9a\u7fa9[\u7de8\u96c6]\u78ba\u7387\u5909\u6570 \u03c4{displaystyle tau }\uff08\u30bf\u30a6\uff09\u3092\u3001\u95a2\u5fc3\u306e\u3042\u308b\u30a4\u30d9\u30f3\u30c8\u304c\u8d77\u3053\u308b\u307e\u3067\u306e\u6642\u9593\u3068\u8003\u3048\u3088\u3046\uff08\u305f\u3060\u3057\u3001\u03c4\u22650{displaystyle tau geq 0} \u3067\u3042\u308b\uff09\u3002\u4e0a\u306b\u793a\u3057\u305f\u3088\u3046\u306b\u3001\u76ee\u7684\u306f\u3001\u03c4{displaystyle tau } \u306e\u6f5c\u5728\u7684\u306a\u751f\u5b58\u95a2\u6570 S{displaystyle S} \u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u95a2\u6570\u306f\u3001"},{"@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\/711#breadcrumbitem","name":"\u30ab\u30d7\u30e9\u30f3\uff1d\u30de\u30a4\u30e4\u30fc\u63a8\u5b9a\u91cf – Wikipedia"}}]}]