{"id":2416,"date":"2020-08-06T11:00:00","date_gmt":"2020-08-06T02:00:00","guid":{"rendered":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/?p=2416"},"modified":"2020-08-11T08:16:18","modified_gmt":"2020-08-10T23:16:18","slug":"power-function-distribution","status":"publish","type":"post","link":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/power-function-distribution","title":{"rendered":"\u30d9\u30ad\u95a2\u6570\u5206\u5e03"},"content":{"rendered":"\n\n\n\n\n<p>\u3000\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08power function distribution\uff09\u306f\u9023\u7d9a\u578b\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306f\u69d8\u3005\u306a\u78ba\u7387\u5206\u5e03\u3068\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306b\u95a2\u3059\u308b\u57fa\u672c\u60c5\u5831\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002\u7c21\u5358\u306a\u8a3c\u660e\u3082\u4ed6\u306e\u8a18\u4e8b\u3067\u8f09\u305b\u3066\u3044\u308b\u306e\u3067\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\u8a3c\u660e\u306e\u8a18\u4e8b\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<div id=\"toc_container\" class=\"toc_light_blue no_bullets\"><p class=\"toc_title\">\u76ee\u6b21<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306e\u57fa\u672c\u60c5\u5831<\/a><ul><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_2\">1.1<\/span> \u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3068\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570<\/a><\/li><\/ul><\/li><li><a href=\"#i-3\"><span class=\"toc_number toc_depth_1\">2<\/span> \u30d9\u30ad\u95a2\u6570\u5206\u5e03\u3068\u4ed6\u306e\u5206\u5e03\u3068\u306e\u95a2\u4fc2<\/a><\/li><li><a href=\"#k1\"><span class=\"toc_number toc_depth_1\">3<\/span> \u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\uff08\\(k=1\\)\u306e\u5834\u5408\uff09<\/a><\/li><\/ul><\/div>\n<h2><span id=\"i\">\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306e\u57fa\u672c\u60c5\u5831<\/span><\/h2>\n\n\n\n<p>\u203b\u3000\u8868\u306f\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<figure class=\"wp-block-table\">\n<table style=\"width: 100%; height: 628px;\">\n<tbody>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\">\u30d1\u30e9\u30e1\u30fc\u30bf<\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\gamma,\\ \\ \\ 0 &lt; k\\)<\/td>\n<\/tr>\n<tr style=\"height: 56px;\">\n<td style=\"width: 21.3265%; height: 56px;\">\u78ba\u7387\u5909\u6570\u306e\u7bc4\u56f2<\/td>\n<td style=\"width: 78.5011%; height: 56px;\">\\(0\\leq x\\leq k \\)<\/td>\n<\/tr>\n<tr style=\"height: 56px;\">\n<td style=\"width: 21.3265%; height: 56px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cumulative-distribution-function\">\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570<\/a><\/td>\n<td style=\"width: 78.5011%; height: 56px;\">\\(\\displaystyle \\left( \\frac{x}{k} \\right)^{\\gamma}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/probability-function\">\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570<\/a><\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\displaystyle \\left( \\frac{\\gamma}{k} \\right)^{\\gamma}\\left( \\frac{x}{k} \\right)^{\\gamma-1}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\">\u9006\u5206\u5e03\u95a2\u6570<br \/>\uff08\u78ba\u7387\\(p\\)\uff09<\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\displaystyle kp^{\\frac{1}{\\gamma}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\">\u5371\u967a\u5ea6\u95a2\u6570<\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\displaystyle \\frac{\\gamma x^{\\gamma-1}}{k^{\\gamma}-x^{\\gamma}}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\">\u7d2f\u7a4d\u5371\u967a\u5ea6\u95a2\u6570<\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\displaystyle-\\log\\left[ 1-\\left( \\frac{x}{k} \\right)^{\\gamma} \\right]\\)<\/td>\n<\/tr>\n<tr style=\"height: 56px;\">\n<td style=\"width: 21.3265%; height: 56px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\\(r\\)\u6b21\u30e2\u30fc\u30e1\u30f3\u30c8\uff08\u539f\u70b9\u307e\u308f\u308a\uff09<\/a><\/td>\n<td style=\"width: 78.5011%; height: 56px;\">\\( \\displaystyle \\frac{k^{r}\\gamma}{\\gamma+r}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/mean-definition\">\u671f\u5f85\u5024<\/a><\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\( \\displaystyle \\frac{k\\gamma}{\\gamma+1}\\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/variance\">\u5206\u6563<\/a><\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\( \\displaystyle \\frac{k^{2}\\gamma}{ (\\gamma+2)(\\gamma+1)^{2} } \\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\">\u4e2d\u4f4d\u6570<\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\( \\displaystyle\\frac{k}{\\gamma^{\\frac{1}{\\gamma}}} \\)<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/05231022\">\u30e2\u30fc\u30c9<\/a><\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\( \\displaystyle\\left\\{\\begin{array}{cc}<br \/>k &amp; \\gamma&gt;1\u306e\u3068\u304d\\\\<br \/>0 &amp; \\gamma&lt;1\u306e\u3068\u304d<br \/>\\end{array}\\right.\\)<\/td>\n<\/tr>\n<tr style=\"height: 100px;\">\n<td style=\"width: 21.3265%; height: 100px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/skewness\">\u6b6a\u5ea6<\/a><\/td>\n<td style=\"width: 78.5011%; height: 100px;\">\n<p>\\(\\displaystyle \\frac{2(1-\\gamma)(2+\\gamma)^{\\frac{1}{2}}}{(3+\\gamma)\\gamma^{\\frac{1}{2}}}\\)<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 36px;\">\n<td style=\"width: 21.3265%; height: 36px;\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/kurtosis\">\u5c16\u5ea6<\/a><\/td>\n<td style=\"width: 78.5011%; height: 36px;\">\\(\\displaystyle \\frac{3(2+\\gamma)\\{2(\\gamma+1)^{2}+\\gamma(\\gamma-5)\\}}{ \\gamma(\\gamma+3)(\\gamma+4) } \\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n\n\n<h3>\u8a3c\u660e\u4e00\u89a7<\/h3>\n\n\n\n\n  <div class=\"blogcard\">\n  <a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cexpd-mv\">\n   <div class=\"blogcard_thumbnail\"><img src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u6307\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09-100x100.png\" alt=\"\u6307\u6570\u5206\u5e03\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9\u3010\u8a3c\u660e\u4ed8\u304d\u3067\u89e3\u8aac\u3011\" width=\"90\" height=\"90\" \/><\/div>\n   <div class=\"blogcard_content\">\n    <div class=\"blogcard_title\">\u6307\u6570\u5206\u5e03\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9\u3010\u8a3c\u660e\u4ed8\u304d\u3067\u89e3\u8aac\u3011<\/div>\n    <div class=\"blogcard_excerpt\">\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u5927\u5b66\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2605\u2606\u2606\u2606 \u3053\u306e\u8a18\u4e8b\u3067\u306f\u6307\u6570\u5206\u5e03\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u3092\u8a3c\u660e\u4ed8\u304d\u3067\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u65b9\u306f\u662f\u975e\u2026<\/div>\n   <\/div>\n   <div class=\"clear\"><\/div>\n  <\/a>\n  <\/div>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h3><span id=\"i-2\">\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u3068\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570<\/span><\/h3>\n\n\n\n<p>\\(k=1\\)\u3067\u56fa\u5b9a\u3057\u305f\u5834\u5408\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"977\" height=\"705\" src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11.png\" alt=\"\" class=\"wp-image-2423\" srcset=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11.png 977w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11-300x216.png 300w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11-768x554.png 768w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11-320x231.png 320w\" sizes=\"(max-width: 977px) 100vw, 977px\" \/><\/figure>\n\n\n\n<p>\\(\\gamma=3\\)\u3067\u56fa\u5b9a\u3057\u305f\u5834\u5408\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"977\" height=\"705\" src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff12.png\" alt=\"\" class=\"wp-image-2424\" srcset=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff12.png 977w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff12-300x216.png 300w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff12-768x554.png 768w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff12-320x231.png 320w\" sizes=\"(max-width: 977px) 100vw, 977px\" \/><\/figure>\n\n\n\n<p>\\(k=1\\)\u3067\u56fa\u5b9a\u3057\u305f\u5834\u5408\u306e\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"977\" height=\"705\" src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff09.png\" alt=\"\" class=\"wp-image-2425\" srcset=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff09.png 977w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff09-300x216.png 300w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff09-768x554.png 768w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570\uff09-320x231.png 320w\" sizes=\"(max-width: 977px) 100vw, 977px\" \/><\/figure>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h2><span id=\"i-3\">\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u3068\u4ed6\u306e\u5206\u5e03\u3068\u306e\u95a2\u4fc2<\/span><\/h2>\n\n\n\n<p>\\(k=1\\)\u306e\u6a19\u6e96\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u3068\u4ed6\u306e\u5206\u5e03\u3068\u306e\u95a2\u4fc2\u3092\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<ul><li>\u30d9\u30fc\u30bf\u5206\u5e03<br>\u30d1\u30e9\u30e1\u30fc\u30bf\\(\\alpha=\\gamma,\\ \\beta=1\\)\u306e\u30d9\u30fc\u30bf\u5206\u5e03\\(Beta(\\gamma,1)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u6307\u6570\u5206\u5e03<br>\\(Y=-\\log X\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(\\lambda=\\gamma\\)\u306e\u6307\u6570\u5206\u5e03\\(Exp(\\gamma)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u30d1\u30ec\u30fc\u30c8\u5206\u5e03<br>\\(Y=1\/X\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(\\gamma\\)\u306e\u7b2c\uff11\u7a2e\u30d1\u30ec\u30fc\u30c8\u5206\u5e03\\(Pareto(1,\\gamma)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u30ed\u30b8\u30b9\u30c6\u30a3\u30af\u30b9\u5206\u5e03<br>\\(Y=-\\log(X^{-\\gamma}-1)\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(0,1\\)\u306e\u30ed\u30b8\u30b9\u30c6\u30a3\u30af\u30b9\u5206\u5e03\\(Lo(0,1)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u30ef\u30a4\u30d6\u30eb\u5206\u5e03<br>\\(Y=(-\\log X^{\\gamma})^{\\frac{1}{\\kappa}}\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(1,\\kappa\\)\u306e\u30ef\u30a4\u30d6\u30eb\u5206\u5e03\\(W(1,\\kappa)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u30ac\u30f3\u30d9\u30eb\u5206\u5e03<br>\\(Y=-\\log(-\\gamma\\log X)\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(0,1\\)\u306e\u30ac\u30f3\u30d9\u30eb\u5206\u5e03\uff08\u6975\u5024\u5206\u5e03\uff09\\(Gumbel(0,1)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<br>\u3000<\/li><li>\u30e9\u30d7\u30e9\u30b9\u5206\u5e03<br>\u78ba\u7387\u5909\u6570\\(X_{1},X_{2}\\)\u304c\u4e92\u3044\u306b\u72ec\u7acb\u306b\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\\(k=1,\\gamma\\)\u306e\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306b\u5f93\u3046\u3068\u304d\u3001\\(Y=-\\gamma\\log(X_{1}\/X_{2})\\)\u3068\u304a\u304f\u3068\u3001\u78ba\u7387\u5909\u6570\\(Y\\)\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\\(0,1\\)\u306e\u30e9\u30d7\u30e9\u30b9\u5206\u5e03\\(Laplace(0,1)\\)\u306b\u5f93\u3044\u307e\u3059\u3002<\/li><\/ul>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h2><span id=\"k1\">\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\uff08\\(k=1\\)\u306e\u5834\u5408\uff09<\/span><\/h2>\n\n\n\n<p>\u3000\u6700\u5c24\u6cd5\u30fb\u30e2\u30fc\u30e1\u30f3\u30c8\u6cd5\u306b\u3088\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<ul><li>\u6700\u5c24\u6cd5<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\widehat{\\gamma} &amp;= \\left( \\frac{1}{n}\\sum_{i=1}^{n}X_{1} \\right)^{-1}<br>\\end{align}<\/div><br>\u3000<\/li><li>\u30e2\u30fc\u30e1\u30f3\u30c8\u6cd5<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\widehat{\\gamma} &amp;= \\frac{\\bar{X}}{1-\\bar{X}}<br>\\end{align}<\/div><\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3000\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08power function distribution\uff09\u306f\u9023\u7d9a\u578b\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002\u30d9\u30ad\u95a2\u6570\u5206\u5e03\u306f\u69d8\u3005\u306a\u78ba\u7387\u5206\u5e03\u3068\u95a2\u4fc2\u304c\u3042\u308a\u307e\u3059 &#8230; <\/p>\n","protected":false},"author":1,"featured_media":2423,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[84],"tags":[113,71],"jetpack_featured_media_url":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30ad\u95a2\u6570\u5206\u5e03\uff08\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570\uff09\uff11.png","_links":{"self":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/2416"}],"collection":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/comments?post=2416"}],"version-history":[{"count":9,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/2416\/revisions"}],"predecessor-version":[{"id":2841,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/2416\/revisions\/2841"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media\/2423"}],"wp:attachment":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media?parent=2416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/categories?post=2416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/tags?post=2416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}