[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki\/archives\/4366#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki\/archives\/4366","headline":"\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570 &#8211; Wikipedia","name":"\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570 &#8211; Wikipedia","description":"\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff08\u308b\u3044\u305b\u304d\u3076\u3093\u3077\u304b\u3093\u3059\u3046\u3001\u82f1: cumulative distribution function, CDF\uff09\u3084\u5206\u5e03\u95a2\u6570\uff08\u3076\u3093\u3077\u304b\u3093\u3059\u3046\u3001\u82f1: distribution function\uff09\u3068\u306f\u3001\u78ba\u7387\u8ad6\u306b\u304a\u3044\u3066\u3001\u5b9f\u6570\u5024\u78ba\u7387\u5909\u6570 X \u304c x \u4ee5\u4e0b\u306b\u306a\u308b\u78ba\u7387\u306e\u95a2\u6570\u306e\u3053\u3068\u3002\u9023\u7d9a\u578b\u78ba\u7387\u5909\u6570\u3067\u306f\u3001\u8ca0\u306e\u7121\u9650\u5927\u304b\u3089 x \u307e\u3067\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3092\u5b9a\u7a4d\u5206\u3057\u305f\u3082\u306e\u3002 \u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u540c\u6642\u78ba\u7387\u5206\u5e03\u3067\u3082\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u3067\u3082\u5b9a\u7fa9\u3055\u308c\u308b\u3002 \u5b9f\u6570\u5024\u78ba\u7387\u5909\u6570 X \u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u4ee5\u4e0b\u3067\u5b9a\u7fa9\u3055\u308c\u308b[1]:p. 77\u3002\u3053\u306e\u78ba\u7387\u306f\u4e0b\u5074\u78ba\u7387 (lower-tail probability)","datePublished":"2019-01-31","dateModified":"2019-01-31","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki\/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\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/77\/Exponential_distribution_cdf.png\/300px-Exponential_distribution_cdf.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/77\/Exponential_distribution_cdf.png\/300px-Exponential_distribution_cdf.png","height":"225","width":"300"},"url":"https:\/\/wiki.edu.vn\/jp\/wiki\/archives\/4366","about":["Wiki"],"wordCount":2490,"articleBody":"    \u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff08\u308b\u3044\u305b\u304d\u3076\u3093\u3077\u304b\u3093\u3059\u3046\u3001\u82f1: cumulative distribution function, CDF\uff09\u3084\u5206\u5e03\u95a2\u6570\uff08\u3076\u3093\u3077\u304b\u3093\u3059\u3046\u3001\u82f1: distribution function\uff09\u3068\u306f\u3001\u78ba\u7387\u8ad6\u306b\u304a\u3044\u3066\u3001\u5b9f\u6570\u5024\u78ba\u7387\u5909\u6570 X \u304c x \u4ee5\u4e0b\u306b\u306a\u308b\u78ba\u7387\u306e\u95a2\u6570\u306e\u3053\u3068\u3002\u9023\u7d9a\u578b\u78ba\u7387\u5909\u6570\u3067\u306f\u3001\u8ca0\u306e\u7121\u9650\u5927\u304b\u3089 x \u307e\u3067\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3092\u5b9a\u7a4d\u5206\u3057\u305f\u3082\u306e\u3002  \u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u540c\u6642\u78ba\u7387\u5206\u5e03\u3067\u3082\u6761\u4ef6\u4ed8\u304d\u78ba\u7387\u5206\u5e03\u3067\u3082\u5b9a\u7fa9\u3055\u308c\u308b\u3002\u5b9f\u6570\u5024\u78ba\u7387\u5909\u6570 X \u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u4ee5\u4e0b\u3067\u5b9a\u7fa9\u3055\u308c\u308b[1]:p. 77\u3002\u3053\u306e\u78ba\u7387\u306f\u4e0b\u5074\u78ba\u7387 (lower-tail probability) \u3068\u3082\u547c\u3070\u308c\u308b\u3002  FX(x):=P\u2061(X\u2264x){displaystyle F_{X}(x):=operatorname {P} (Xleq x)}X \u306e a < b \u306e\u6642\u306e\u534a\u958b\u533a\u9593 (a, b] \u306e\u78ba\u7387\u306f\u4ee5\u4e0b\u306b\u306a\u308b[1]:p. 84\u3002P\u2061(aFX(a){displaystyle operatorname {P} (a\u221exfX(t)dt{displaystyle F_{X}(x)=int _{-infty }^{x}f_{X}(t),dt}\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\u306f\u5e83\u7fa9\u5358\u8abf\u5897\u52a0\u95a2\u6570\u3067\u3042\u308a[1]:p. 78\u3001\u53f3\u9023\u7d9a\u95a2\u6570\u3067\u3042\u308b[1]:p. 79\u3002\u3055\u3089\u306b\u4ee5\u4e0b\u304c\u6210\u7acb\u3059\u308b\u3002limx\u2192\u2212\u221eFX(x)=0,limx\u2192+\u221eFX(x)=1.{displaystyle lim _{xto -infty }F_{X}(x)=0,quad lim _{xto +infty }F_{X}(x)=1.}\u96e2\u6563\u578b\u78ba\u7387\u5909\u6570 X \u3067\u306f\u4ee5\u4e0b\u304c\u6210\u7acb\u3059\u308b\u3002FX(x)=P\u2061(X\u2264x)=\u2211xi\u2264xP\u2061(X=xi)=\u2211xi\u2264xp(xi).{displaystyle F_{X}(x)=operatorname {P} (Xleq x)=sum _{x_{i}leq x}operatorname {P} (X=x_{i})=sum _{x_{i}leq x}p(x_{i}).}\u9023\u7d9a\u578b\u78ba\u7387\u5909\u6570 X \u3067\u306f\u4ee5\u4e0b\u304c\u6210\u7acb\u3059\u308b\u3002FX(b)\u2212FX(a)=P\u2061(aabfX(x)dx{displaystyle F_{X}(b)-F_{X}(a)=operatorname {P} (a"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki\/archives\/4366#breadcrumbitem","name":"\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570 &#8211; Wikipedia"}}]}]