{"id":1695,"date":"2020-07-07T11:00:00","date_gmt":"2020-07-07T02:00:00","guid":{"rendered":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/?p=1695"},"modified":"2020-07-19T20:42:26","modified_gmt":"2020-07-19T11:42:26","slug":"bernoulli-distribution","status":"publish","type":"post","link":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/bernoulli-distribution","title":{"rendered":"\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03"},"content":{"rendered":"\n\n\n\n\n<p>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03(Bernoulli distribution)\u306f\u96e2\u6563\u578b\u306e\u78ba\u7387\u5206\u5e03\u3067\u3001\uff11\u56de\u306e\u8a66\u884c\u306b\u5bfe\u3057\u3066\u6210\u529f\u30fb\u5931\u6557\u306e\u3044\u305a\u308c\u304b\u304c\u8d77\u3053\u308b\u4e8b\u8c61\u306b\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u3088\u308a\u5177\u4f53\u7684\u306b\u306f\u78ba\u7387\\(p\\)\u3067\u6210\u529f\u3059\u308b\u8a66\u884c\u3092\uff11\u56de\u3060\u3051\u884c\u3046\u3068\u3044\u3046\u3082\u306e\u3067\u3059\uff08\u3053\u306e\u3088\u3046\u306a\u8a66\u884c\u3092\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3068\u3044\u3044\u307e\u3059\uff09\u3002\u6210\u529f\u78ba\u7387\\(p\\)\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u3092\u8a18\u53f7\\(X\\sim Ber(p)\\)\u3067\u3088\u304f\u8868\u3055\u308c\u307e\u3059\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\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306e\u57fa\u672c\u60c5\u5831<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9<\/a><\/li><li><a href=\"#i-3\"><span class=\"toc_number toc_depth_1\">3<\/span> \u7279\u6027\u95a2\u6570\u306e\u6c42\u3081\u65b9<\/a><\/li><li><a href=\"#i-4\"><span class=\"toc_number toc_depth_1\">4<\/span> \u30d9\u30eb\u30cc\u30fc\u30a4\u4e71\u6570\u306e\u767a\u751f\u65b9\u6cd5<\/a><\/li><li><a href=\"#i-5\"><span class=\"toc_number toc_depth_1\">5<\/span> \u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u3068\u95a2\u9023\u6df1\u3044\u5206\u5e03<\/a><\/li><\/ul><\/div>\n<h2><span id=\"i\">\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306e\u57fa\u672c\u60c5\u5831<\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>\u30d1\u30e9\u30e1\u30fc\u30bf<\/td><td>\\(0&lt;p&lt;1\\)<\/td><\/tr><tr><td>\u78ba\u7387\u5909\u6570\u306e\u7bc4\u56f2<\/td><td>\\(x\\)\u3000\uff08\\(1\\)\u3042\u308b\u3044\u306f\\(0\\)\uff09<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cumulative-distribution-function\">\u7d2f\u7a4d\u5206\u5e03\u95a2\u6570<\/a><\/td><td>\\(F(1)=1,\\ \\ \\ F(0)=1-p\\)<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/probability-function\">\u78ba\u7387\u95a2\u6570<\/a><\/td><td>\\(p^{x}(1-p)^{1-x}\\)<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cf\">\u7279\u6027\u95a2\u6570<\/a><\/td><td>\\(1+p(\\exp[it]-1)\\)<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\\(k\\)\u6b21\u306e\u30e2\u30fc\u30e1\u30f3\u30c8\uff08\u539f\u70b9\u307e\u308f\u308a\uff09<\/a><\/td><td>\\(p\\)<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/mean-definition\">\u671f\u5f85\u5024<\/a><\/td><td>\\(p\\)<\/td><\/tr><tr><td><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/variance\">\u5206\u6563<\/a><\/td><td>\\(p(1-p)\\)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2><span id=\"i-2\">\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9<\/span><\/h2>\n\n\n\n<p>\u3000\u6210\u529f\u78ba\u7387\\(p\\)\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\\(X\\sim Ber(p)\\)\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u306e\u6c42\u3081\u65b9\u3092\u8a3c\u660e\u4ed8\u304d\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"display: inline-block; background: #33cc33; padding: 5px 10px; color: #ffffff; border-radius: 5px 5px 0 0;\"><strong>\u671f\u5f85\u5024\u3068\u5206\u6563<\/strong><\/div>\n<div style=\"background: #ffffea; padding: 10px; border: 2px solid #33cc33;\">\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\\(X\\sim Ber(p)\\)\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u306e\u671f\u5f85\u5024\u30fb\u5206\u6563\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\n<div style=\"overflow-x: auto;\">\\begin{align}\n\\mathrm{E}[X]=p,\\ \\ \\ \\mathrm{Var}[X]=p(1-p)\n\\end{align}<\/div>\n<\/div>\n\n\n\n<h3>\u8a3c\u660e<\/h3>\n\n\n\n<p>\u307e\u305a\u78ba\u7387\u95a2\u6570\\(f(x)\\)\u306f<br><div style=\"overflow-x: auto;\">\\begin{align}<br>f(x)=\\left\\{<br>\\begin{array}{ccc}<br>&amp; p &amp;\uff08\u6210\u529fX=1\uff09\\\\<br>&amp; 1-p &amp;\uff08\u5931\u6557X=0\uff09<br>\\end{array}\\right.<br>\\end{align}<\/div><br>\u3068\u306a\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u3001\u307e\u305a\u671f\u5f85\u5024\u306f<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\mathrm{E}[X] &amp;= 1\\cdot p+0\\cdot (1-p) = p<br>\\end{align}<\/div><br>\u3068\u306a\u308a\u307e\u3059\u3002<br>\u3000\u3042\u3068\u306f\u5206\u6563\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/variance\">\uff1c\u5206\u6563\u306e\u5b9a\u7fa9\uff1e<\/a>\u306e\u8a18\u4e8b\u304b\u3089\u5206\u6563\u306f<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\mathrm{Var}[X] &amp;= \\mathrm{E}[X^{2}]-\\mathrm{E}[X]^{2}<br>\\end{align}<\/div><br>\u3068\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3001\\(\\mathrm{E}[X^{2}]\\)\u3092\u6c42\u3081\u308c\u3070\u3088\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3088\u3063\u3066<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\mathrm{E}[X^{2}] = 1^{2}\\cdot p +0^{2}\\cdot (1-p) = p <br>\\end{align}<\/div><br>\u3068\u306a\u308b\u3053\u3068\u304b\u3089\u3001\u6c42\u3081\u308b\u5206\u6563\u306f<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\mathrm{Var}[X] &amp;= p-p^{2} = p(1-p)<br>\\end{align}<\/div><br>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-text-align-right\">\u25a1<\/p>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h2><span id=\"i-3\">\u7279\u6027\u95a2\u6570\u306e\u6c42\u3081\u65b9<\/span><\/h2>\n\n\n\n<p>\u3000\u6210\u529f\u78ba\u7387\\(p\\)\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\\(X\\sim Ber(p)\\)\u306e\u7279\u6027\u95a2\u6570\u306e\u6c42\u3081\u65b9\u3092\u8a3c\u660e\u4ed8\u304d\u3067\u8a3c\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div style=\"display: inline-block; background: #33cc33; padding: 5px 10px; color: #ffffff; border-radius: 5px 5px 0 0;\"><strong>\u7279\u6027\u95a2\u6570<\/strong><\/div>\n<div style=\"background: #ffffea; padding: 10px; border: 2px solid #33cc33;\">\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\\(X\\sim Ber(p)\\)\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u306e\u7279\u6027\u95a2\u6570\\(\\phi_{X}(t)\\)\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\n<div style=\"overflow-x: auto;\">\\begin{align}\n\\phi_{X}(t) &amp;= 1+p(\\exp[it]-1)\n\\end{align}<\/div>\n<\/div>\n\n\n\n<p>\u7279\u6027\u95a2\u6570\u3092\u6c42\u3081\u308b\u969b\u306b\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cf\">\uff1c\u7279\u6027\u95a2\u6570\u306e\u5b9a\u7fa9\uff1e<\/a>\u3092\u4f7f\u7528\u3059\u308b\u306e\u3067\u3001\u899a\u3048\u3066\u3044\u306a\u3044\u65b9\u306f\u8a3c\u660e\u3092\u8aad\u3080\u524d\u306b\u4e00\u5ea6\u3001\u76ee\u3092\u901a\u3057\u3066\u304a\u3044\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3>\u8a3c\u660e<\/h3>\n\n\n\n<p>\u7279\u6027\u95a2\u6570\u306e\u5b9a\u7fa9\u304b\u3089<br><div style=\"overflow-x: auto;\">\\begin{align}<br>\\phi_{X}(t) &amp;= \\mathrm{E}[e^{itX}] \\\\<br>&amp;= e^{it}\\cdot p + e^{0}(1-p) \\\\<br>&amp;= 1+p(e^{it}-1)<br>\\end{align}<\/div><br>\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"has-text-align-right\">\u25a1<\/p>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h2><span id=\"i-4\">\u30d9\u30eb\u30cc\u30fc\u30a4\u4e71\u6570\u306e\u767a\u751f\u65b9\u6cd5<\/span><\/h2>\n\n\n\n<p>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3046\u78ba\u7387\u5909\u6570\u306e\u4e71\u6570\u3092\u767a\u751f\u3055\u305b\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3046\\(X\\sim Ber(p)\\)\u306f\u6b21\u306e\u3088\u3046\u306b\u767a\u751f\u3055\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<ol><li>\u3000\\(x\\sim U(0,\\ 1)\\)\u3068\u306a\u308b\u4e00\u69d8\u4e71\u6570\u3092\u767a\u751f\u3055\u305b\u307e\u3059\u3002\u3053\u308c\u304c\u6210\u529f\u78ba\u7387\u306b\u306a\u308a\u307e\u3059\uff08\u4e00\u69d8\u5206\u5e03\u306b\u3064\u3044\u3066\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/continuous-uniform-distribution\">\uff1c\u4e00\u69d8\u5206\u5e03\u306e\u57fa\u672c\u60c5\u5831\uff1e<\/a>\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\uff09\u3002<\/li><li>\u30001.\u3067\u767a\u751f\u3055\u305b\u305f\\(x\\)\u3092\u4f7f\u3063\u3066<br><div style=\"overflow-x: auto;\">\\begin{align}<br>X=\\left\\{<br>\\begin{array}{ccc}<br>&amp; 1 &amp;\uff08x\\leq p\u306e\u3068\u304d\uff09 \\\\<br>&amp; 0 &amp;\uff08x&gt; p\u306e\u3068\u304d\uff09\\\\<br>\\end{array}\\right.<br>\\end{align}<\/div><br>\u3068\u3057\u307e\u3059\u3002\u3053\u306e\\(X\\)\u304c\u6210\u529f\u78ba\u7387\\(p\\)\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/li><\/ol>\n\n\n\n<p>\u3000<\/p>\n\n\n\n<h2><span id=\"i-5\">\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u3068\u95a2\u9023\u6df1\u3044\u5206\u5e03<\/span><\/h2>\n\n\n\n<p>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u3068\u95a2\u9023\u6df1\u3044\u5206\u5e03\u3092\u56f3\u30fb\u8868\u3067\u307e\u3068\u3081\u3066\u3044\u307e\u3059\u3002\u5404\u5206\u5e03\u306e\u8a73\u3057\u3044\u60c5\u5831\u306f\u8868\u306e\u4e2d\u306e\u30ea\u30f3\u30af\u304b\u3089\u304a\u9858\u3044\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"738\" height=\"514\" src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u95a2\u4fc2\u30de\u30c3\u30d7.png\" alt=\"\" class=\"wp-image-2055\" srcset=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u95a2\u4fc2\u30de\u30c3\u30d7.png 738w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u95a2\u4fc2\u30de\u30c3\u30d7-300x209.png 300w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/07\/\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u306e\u95a2\u4fc2\u30de\u30c3\u30d7-320x223.png 320w\" sizes=\"(max-width: 738px) 100vw, 738px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/bernoulli-distribution\">\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\uff11\u56de\u884c\u3046\u3068\u304d\u306e\u5206\u5e03<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/categorical-distribution\">\u30ab\u30c6\u30b4\u30ea\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">1\u56de\u306e\u8a66\u884c\u3067\\(k\\)\u901a\u308a\u306e\u30d1\u30bf\u30fc\u30f3\u306e\u4e2d\u304b\u3089\u3069\u308c\u304b\u304c\u5f97\u3089\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u8a66\u884c\u3092\u8868\u3059\u5206\u5e03<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/distribution\/bind\">\uff12\u9805\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\\(n\\)\u56de\u306e\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3067\\(x\\)\u56de\u6210\u529f\u3059\u308b\u3068\u304d\u306e\u5206\u5e03<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/distribution\/dgeod\">\u5e7e\u4f55\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\u8907\u6570\u56de\u884c\u3046\u4e0a\u3067\u3001\u521d\u3081\u3066\u6210\u529f\u3059\u308b\u307e\u3067\u306e<br>\u8a66\u884c\u56de\u6570\u3092\u8868\u3059\u5206\u5e03<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/distribution\/dhgeod\">\u8d85\u5e7e\u4f55\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\u8907\u6570\u56de\u884c\u3063\u3066\u3044\u304f\u4e0a\u3067\u3001\u305d\u306e\u90fd\u5ea6\u6210\u529f\u78ba\u7387\u304c<br>\u5909\u5316\u3059\u308b\u5206\u5e03\uff08\u6709\u9650\u500b\u306e\u30a2\u30bf\u30ea\u304f\u3058\u306a\u3069\uff09<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/distribution\/nbiob\">\u8ca0\u306e\uff12\u9805\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u30d9\u30eb\u30cc\u30fc\u30a4\u8a66\u884c\u3092\u8907\u6570\u56de\u884c\u3046\u4e0a\u3067\u3001\\(k\\)\u56de\u6210\u529f\u3059\u308b\u307e\u3067\u306e<br>\u5931\u6557\u3059\u308b\u56de\u6570\u3092\u8868\u3059\u5206\u5e03\uff08\\(k=1\\)\u306e\u5834\u5408\u3001\u5e7e\u4f55\u5206\u5e03\u306b\u306a\u308a\u307e\u3059\uff09<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/dmuld\">\u591a\u9805\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u6210\u529f\u30fb\u5931\u6557\u306e\uff12\u7a2e\u985e\u3060\u3051\u3067\u306a\u304f\u3001\u8a66\u884c\u306e\u7d50\u679c\u304c<br>\u8907\u6570\u500b\u3042\u308b\u5834\u5408\u306e\u5206\u5e03\u3092\u8868\u3057\u307e\u3059<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/distribution\/dpoid\">\u30dd\u30a2\u30bd\u30f3\u5206\u5e03<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">\u6210\u529f\u78ba\u7387\u304c\u6975\u7aef\u306b\u5c0f\u3055\u304f\uff08\u3064\u307e\u308a\u6ec5\u591a\u306b\u8d77\u3053\u3089\u306a\u3044\uff09\u3001<br>\u8a66\u884c\u56de\u6570\u304c\u6975\u7aef\u306b\u5927\u304d\u3044\u5834\u5408\u306e\u5206\u5e03<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03(Bernoulli distribution)\u306f\u96e2\u6563\u578b\u306e\u78ba\u7387\u5206\u5e03\u3067\u3001\uff11\u56de\u306e\u8a66\u884c\u306b\u5bfe\u3057\u3066\u6210\u529f\u30fb\u5931\u6557\u306e\u3044\u305a\u308c\u304b\u304c\u8d77\u3053\u308b\u4e8b\u8c61\u306b\u7528\u3044 &#8230; <\/p>\n","protected":false},"author":1,"featured_media":801,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[76,74,72,84],"tags":[98,71],"jetpack_featured_media_url":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/05\/PAK39_toumeinadice_TP_V.jpg","_links":{"self":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1695"}],"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=1695"}],"version-history":[{"count":16,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1695\/revisions"}],"predecessor-version":[{"id":2152,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1695\/revisions\/2152"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media\/801"}],"wp:attachment":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media?parent=1695"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/categories?post=1695"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/tags?post=1695"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}