{"id":6043,"date":"2022-05-12T16:33:29","date_gmt":"2022-05-12T07:33:29","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=6043"},"modified":"2022-05-28T17:52:56","modified_gmt":"2022-05-28T08:52:56","slug":"chebyshev","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/chebyshev.html","title":{"rendered":"\u78ba\u7387\u8ad6\u3067\u306e\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\uff1a\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3068\u8a3c\u660e"},"content":{"rendered":"\n<p>\u7d71\u8a08\u5b66\u3067\u78ba\u7387\u8ad6\u3092\u5b66\u3076\u3068\u304d\u3001\u6559\u79d1\u66f8\u306b\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u51fa\u3066\u304f\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u591a\u304f\u306e\u4eba\u306b\u3068\u3063\u3066\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u96e3\u3057\u3044\u3067\u3059\u3002<\/p>\n<p>\u6570\u5f0f\u3092\u898b\u3066\u3082\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u6570\u5f0f\u306e\u610f\u5473\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002\u8981\u306f\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u4f55\u3092\u8868\u3057\u3066\u3044\u308b\u306e\u304b\u7406\u89e3\u3059\u308b\u306e\u3067\u3059\u3002<\/p>\n<p>\u3059\u3079\u3066\u306e\u78ba\u7387\u5909\u6570X\u306b\u5bfe\u3057\u3066\u6210\u7acb\u3059\u308b\u306e\u304c\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3067\u3059\u3002\u307e\u305f\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u30b0\u30e9\u30d5\u306e\u5f62\u3084\u5206\u5e03\u304c\u308f\u304b\u3089\u306a\u304b\u3063\u305f\u3068\u3057\u3066\u3082\u3001\u7bc4\u56f2\u5916\u306e\u78ba\u7387\u304c\u3044\u304f\u3089\u542b\u307e\u308c\u3066\u3044\u308b\u306e\u304b\u628a\u63e1\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5f0f\u3092\u898b\u3066\u3082\u7406\u89e3\u3067\u304d\u306a\u3044\u3082\u306e\u306e\u3001\u6982\u5ff5\u3092\u5b66\u3073\u3001\u305d\u306e\u3042\u3068\u306b\u4f8b\u984c\u3067\u306e\u78ba\u8a8d\u3084\u8a3c\u660e\u3092\u3059\u308c\u3070\u5185\u5bb9\u3092\u628a\u63e1\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u3067\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3068\u5171\u306b\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h2>\u7d71\u8a08\u5b66\u3067\u306e\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3068\u516c\u5f0f\u306e\u610f\u5473<\/h2>\n<p>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306b\u306f2\u3064\u306e\u7a2e\u985e\u304c\u3042\u308a\u3001\u3053\u306e\u8a18\u4e8b\u3067\u89e3\u8aac\u3059\u308b\u306e\u306f\u78ba\u7387\u8ad6\u3067\u306e\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u7d71\u8a08\u5b66\u3067\u5b66\u3076\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(|X-\u03bc|\u2265k\u03c3)\\)\\(\u2264\\displaystyle\\frac{1}{k^2}\\)<\/li>\n<\/ul>\n<p><span style=\"color: #ff0000;\">\u3059\u3079\u3066\u306e\u5206\u5e03\u306b\u3064\u3044\u3066\u3001\u3053\u306e\u516c\u5f0f\u304c\u6210\u7acb\u3057\u307e\u3059\u3002<\/span>\u6b63\u898f\u5206\u5e03\u3060\u3051\u3067\u306a\u304f\u3001\u7279\u6b8a\u306a\u5f62\u3092\u3057\u305f\u5206\u5e03\u3067\u3042\u3063\u3066\u3082\u6210\u308a\u7acb\u3064\u305f\u3081\u3001\u7d71\u8a08\u5b66\u3067\u306f\u6709\u7528\u306a\u516c\u5f0f\u3067\u3059\u3002\u306a\u304a\u3053\u306e\u516c\u5f0f\u3092\u307f\u3066\u3082\u3001\u307e\u3063\u305f\u304f\u610f\u5473\u3092\u7406\u89e3\u3067\u304d\u306a\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u3053\u306e\u516c\u5f0f\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\\(k\\)\u306f\u4efb\u610f\u306e\u6570\u3067\u3042\u308a\u3001\u3069\u306e\u3088\u3046\u306a\u5024\u3092\u5165\u308c\u3066\u3082\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002\u307e\u305f\\(\u03bc\\)\u306f\u5e73\u5747\uff08\u671f\u5f85\u5024\uff09\u3067\u3042\u308a\u3001\\(\u03c3\\)\u306f\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/p>\n<p>\u307e\u305a\u3001\u5de6\u5074\\(P(|X-\u03bc|\u2265k\u03c3)\\)\u304b\u3089\u78ba\u8a8d\u3057\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002\\(|X-\u03bc|\\)\u3068\u3044\u3046\u306e\u306f\u3001\u78ba\u7387\u5909\u6570X\u304b\u3089\u5e73\u5747\u5024\\(\u03bc\\)\u3092\u5f15\u304f\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u6b63\u898f\u5206\u5e03\u3092\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u76f4\u3059\u3068\u304d\u3001\\(X-\u03bc\\)\u306b\u3088\u3063\u3066\u3001\u30b0\u30e9\u30d5\u306e\u4e2d\u5fc3\\(\u03bc\\)\u30920\u306b\u79fb\u52d5\u3057\u305f\u3068\u601d\u3044\u307e\u3059\u3002\u540c\u3058\u3088\u3046\u306b\u3001\u78ba\u7387\u5909\u6570X\u304b\u3089\u5e73\u5747\u5024\\(\u03bc\\)\u3092\u5f15\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ethyg13.jpg\" alt=\"\" width=\"500\" height=\"180\" class=\"aligncenter size-full wp-image-5395\" \/><\/p>\n<p>\u305d\u306e\u5f8c\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3092\u4f5c\u308b\u3068\u304d\u3001\u3059\u3079\u3066\u306e\u6b63\u898f\u5206\u5e03\u306e\u6a2a\u5e45\u3092\u540c\u3058\u306b\u3059\u308b\u305f\u3081\u306b\\(\u03c3\\)\u3067\u5272\u308a\u307e\u3057\u305f\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ethyg7.jpg\" alt=\"\" width=\"600\" height=\"212\" class=\"aligncenter size-full wp-image-5389\" \/><\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u6b63\u898f\u5206\u5e03\u304b\u3089\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3078\u5909\u63db\u3059\u308b\u305f\u3081\u306e\u516c\u5f0f\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(Z=\\displaystyle\\frac{X-\u03bc}{\u03c3}\\)<\/li>\n<\/ul>\n<p>\u306a\u304a<span style=\"color: #0000ff;\">\u6b63\u898f\u5206\u5e03\u3067\u306f\u3001\u3059\u3079\u3066\u306e\u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u300c\u4e2d\u5fc3\u304b\u3089\u306e\u9577\u3055\u300d\u3068\u300c\u7bc4\u56f2\u306b\u542b\u307e\u308c\u308b\u78ba\u7387\u300d\u304c\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li>\u5e73\u5747\u5024\u304b\u3089\u300c\u6a19\u6e96\u504f\u5dee\u00d71\u300d\u306e\u7bc4\u56f2\uff1a\u30c7\u30fc\u30bf\u5168\u4f53\u306e68.3%<\/li>\n<li>\u5e73\u5747\u5024\u304b\u3089\u300c\u6a19\u6e96\u504f\u5dee\u00d72\u300d\u306e\u7bc4\u56f2\uff1a\u30c7\u30fc\u30bf\u5168\u4f53\u306e95.5%<\/li>\n<li>\u5e73\u5747\u5024\u304b\u3089\u300c\u6a19\u6e96\u504f\u5dee\u00d73\u300d\u306e\u7bc4\u56f2\uff1a\u30c7\u30fc\u30bf\u5168\u4f53\u306e99.7%<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/03\/ethyg5.jpg\" alt=\"\" width=\"500\" height=\"427\" class=\"aligncenter size-full wp-image-5387\" \/><\/p>\n<p>\u3053\u3053\u307e\u3067\u306e\u5185\u5bb9\u3092\u5fa9\u7fd2\u3059\u308c\u3070\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u610f\u5473\u3092\u7406\u89e3\u3067\u304d\u307e\u3059\u3002\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3067\u306f\u78ba\u7387\u5909\u6570Z\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u78ba\u7387\u5909\u6570Z\u304c2\u3088\u308a\u3082\u5927\u304d\u3044\u5834\u5408\u3001\u30c8\u30c3\u30d7\uff08\u307e\u305f\u306f\u4e0b\u4f4d\uff094.5%\u306b\u542b\u307e\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u78ba\u7387\u5909\u6570Z\u3092\u4efb\u610f\u306e\u6570\\(k\\)\u306b\u5909\u3048\u307e\u3057\u3087\u3046\u3002\u307e\u305f\u78ba\u7387\u5909\u6570X\u304b\u3089\u5e73\u5747\\(\u03bc\\)\u3092\u5f15\u304f\u3068\u304d\u3001\u7d76\u5bfe\u5024\u3092\u3064\u3051\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u5909\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(k=\\displaystyle\\frac{|X-\u03bc|}{\u03c3}\\)<\/p>\n<p>\\(|X-\u03bc|=k\u03c3\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\\(P(|X-\u03bc|\u2265k\u03c3)\\)\u3068\u307b\u307c\u540c\u3058\u5f62\u306b\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3064\u307e\u308a<span style=\"color: #ff0000;\">\\(|X-\u03bc|\u2265k\u03c3\\)\u3068\u3044\u3046\u306e\u306f\u3001\u78ba\u7387\u5909\u6570X\u304c\u542b\u307e\u308c\u308b\u5834\u6240\u3092\u6307\u3057\u307e\u3059\u3002<\/span><\/p>\n<p>\u4f8b\u3048\u3070\\(k=2\\)\u306e\u5834\u5408\u3001\\(|X-\u03bc|\u22652\u03c3\\)\u3067\u3059\u3002\u524d\u8ff0\u306e\u901a\u308a\u3001\u4e2d\u5fc3\u304b\u3089\\(2\u03c3\\)\u306e\u7bc4\u56f2\u306b\u306f\u30c7\u30fc\u30bf\u5168\u4f53\u306e95.5%\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\\(|X-\u03bc|\u22652\u03c3\\)\u3068\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u78ba\u7387\u5909\u6570X\u306f\u30c7\u30fc\u30bf\u5168\u4f53\u306e95.5%\u3088\u308a\u3082\u5927\u304d\u3044\u5024\uff08\u307e\u305f\u306f\u5c0f\u3055\u3044\u5024\uff09\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\\(P(|X-\u03bc|\u2265k\u03c3)\\)\u3068\u3044\u3046\u306e\u306f\u3001\\(|X-\u03bc|\\)\u304c\\(k\u03c3\\)\u3088\u308a\u3082\u5927\u304d\u3044\u5024\uff08\u307e\u305f\u306f\u5c0f\u3055\u3044\u5024\uff09\u306e\u3068\u304d\u306e\u78ba\u7387\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/hatsudy.com\/jp\/wp-content\/uploads\/2022\/05\/kgh1.jpg\" alt=\"\" width=\"500\" height=\"269\" class=\"aligncenter size-full wp-image-6246\" \/><\/p>\n<p>\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u3092\u5229\u7528\u3057\u3066\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u5de6\u8fba\u3092\u89e3\u8aac\u3057\u307e\u3057\u305f\u304c\u3001\u524d\u8ff0\u306e\u901a\u308a\u6b63\u898f\u5206\u5e03\u3060\u3051\u3067\u306a\u304f\u3001\u3059\u3079\u3066\u306e\u5206\u5e03\u3067\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<h3>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u53f3\u8fba\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b<\/h3>\n<p>\u6b21\u306b\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u53f3\u8fba\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u53f3\u8fba\u306f\\(\\displaystyle\\frac{1}{k^2}\\)\u3067\u3059\u3002<\/p>\n<p>\\(k\\)\u3068\u3044\u3046\u306e\u306f\u3001\u4efb\u610f\u306e\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u5148\u306b\u8ff0\u3079\u307e\u3057\u305f\u3002\u6b63\u898f\u5206\u5e03\u3067\\(|X-\u03bc|\\)\u304c\u542b\u307e\u308c\u308b\u7bc4\u56f2\u309231.7%\uff08\u30c7\u30fc\u30bf\u5168\u4f53\u306e68.3%\u4ee5\u5916\uff09\u306b\u3057\u305f\u3044\u5834\u5408\u3001\\(k=1\\)\u306b\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u6b63\u898f\u5206\u5e03\u3067\\(|X-\u03bc|\\)\u304c\u542b\u307e\u308c\u308b\u7bc4\u56f2\u30924.5%\uff08\u30c7\u30fc\u30bf\u5168\u4f53\u306e95.5%\u4ee5\u5916\uff09\u306b\u3057\u305f\u3044\u5834\u5408\u3001\\(k=2\\)\u306b\u3057\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\\(k=2\\)\u3068\u3059\u308b\u5834\u5408\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\\(P(|X-\u03bc|\u22652\u03c3)\\)\\(\u2264\\displaystyle\\frac{1}{2^2}\\)<\/li>\n<\/ul>\n<p>\\(\\displaystyle\\frac{1}{2^2}=0.25\\)\u3067\u3059\u3002\u3064\u307e\u308a\\(k=2\\)\u306e\u5834\u5408\u3001\\(|X-\u03bc|\\)\u304c\\(2\u03c3\\)\u3088\u308a\u3082\u5927\u304d\u3044\u5024\uff08\u307e\u305f\u306f\u5c0f\u3055\u3044\u5024\uff09\u306b\u306a\u308b\u78ba\u7387\u306f0.25%\uff0825%\uff09\u4ee5\u4e0b\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u6b63\u898f\u5206\u5e03\u306e\u5834\u5408\u3001\u524d\u8ff0\u306e\u901a\u308a\\(k=2\\)\u306e\u5834\u5408\u3060\u3068\\(|X-\u03bc|\u22652\u03c3\\)\u3068\u306a\u308b\u30b1\u30fc\u30b9\u306f4.5%\uff08\u30c7\u30fc\u30bf\u5168\u4f53\u306e95.5%\u4ee5\u5916\uff09\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u6b63\u898f\u5206\u5e03\u3060\u3051\u3067\u306a\u304f\u3001\u3059\u3079\u3066\u306e\u30b0\u30e9\u30d5\u306b\u5f53\u3066\u306f\u307e\u308b\u516c\u5f0f\u3067\u3042\u308b\u305f\u3081\u3001\u6b63\u898f\u5206\u5e03\u3088\u308a\u3082\\(|X-\u03bc|\\)\u304c\u542b\u307e\u308c\u308b\u7bc4\u56f2\u306f\u5e83\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3>\u4f8b\u984c\u3092\u5229\u7528\u3057\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u7406\u89e3\u3059\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u4f8b\u984c\u3092\u5229\u7528\u3057\u3066\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u78ba\u7387\u5909\u6570X\u306e\u5206\u5e03\u306b\u95a2\u4fc2\u306a\u304f\u6210\u7acb\u3059\u308b\u305f\u3081\u3001\u3069\u306e\u3088\u3046\u306a\u30c7\u30fc\u30bf\u3067\u3042\u3063\u3066\u3082\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u4f7f\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<ul>\n<li>\u30c6\u30b9\u30c8\u306e\u5e73\u5747\u70b9\u306f60\u70b9\u3067\u3042\u308a\u3001\u6a19\u6e96\u504f\u5dee\u306f15\u3067\u3059\u3002\u5e73\u5747\u70b9\u3088\u308a\u308230\u70b9\u4ee5\u4e0a\u3001\u96e2\u308c\u3066\u3044\u308b\u4eba\u306e\u5272\u5408\u306e\u6700\u5927\u5024\u306f\u3044\u304f\u3089\u3068\u4e88\u60f3\u3067\u304d\u308b\u3067\u3057\u3087\u3046\u304b\u3002<\/li>\n<\/ul>\n<p>\\(k\u03c3\\)\u3068\u3044\u3046\u306e\u306f\u3001\u4e2d\u5fc3\uff08\u5e73\u5747\uff09\u304b\u3089\u3069\u308c\u3060\u3051\u96e2\u308c\u3066\u3044\u308b\u306e\u304b\u3092\u8868\u3057\u307e\u3059\u3002\u6a19\u6e96\u504f\u5dee\\(\u03c3\\)\u306f15\u3067\u3042\u308a\u3001\u5e73\u5747\u70b9\u3088\u308a\u308230\u70b9\u306e\u9ad8\u5f97\u70b9\uff08\u307e\u305f\u306f\u4f4e\u3044\u70b9\u6570\uff09\u3092\u53d6\u3063\u3066\u3044\u308b\u4eba\u3068\u3044\u3046\u306e\u306f\u3001\\(30=15k\\)\u3088\u308a\u3001\\(k=2\\)\u3092\u60f3\u5b9a\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u307e\u305f\\(P(|X-60|\u22652\u03c3)\\)\u3068\u3044\u3046\u306e\u306f\u3001\\(|X-60|\\)\u304c\\(2\u03c3(30)\\)\u3088\u308a\u3082\u5927\u304d\u3044\u5024\uff08\u307e\u305f\u306f\u5c0f\u3055\u3044\u5024\uff09\u3092\u6307\u3057\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u5e73\u5747\u70b9\u3088\u308a\u308230\u70b9\u4ee5\u4e0a\u96e2\u308c\u3066\u3044\u308b\u78ba\u7387\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u306a\u304a\\(k=2\\)\u3067\u3042\u308b\u305f\u3081\u3001\\(\\displaystyle\\frac{1}{2^2}=0.25\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P(|X-60|\u22652\u03c3)\u22640.25\\)<\/p>\n<p>\u305d\u306e\u305f\u3081\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u3001\u5e73\u5747\u70b9\u3088\u308a\u308230\u70b9\u4ee5\u4e0a\u96e2\u308c\u3066\u3044\u308b\u4eba\u306e\u5272\u5408\u306f\u6700\u592725%\u3067\u3042\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u516c\u5f0f\u3068\u610f\u5473<\/h2>\n<p>\u6570\u5f0f\u3092\u898b\u3066\u3082\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u3001\u5f0f\u306e\u4e2d\u8eab\u3092\u4e00\u3064\u305a\u3064\u78ba\u8a8d\u3057\u3066\u3044\u3051\u3070\u3001\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5206\u304b\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u3068\u3057\u3066\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3064\u3053\u3068\u3092\u8a3c\u660e\u3057\u307e\u3057\u3087\u3046\u3002\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u524d\u306b\u3001\u5fc5\u305a\u7406\u89e3\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u306e\u304c<span style=\"color: #ff0000;\">\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f<\/span>\u3067\u3059\u3002\\(a&gt;0\\)\u306e\u3068\u304d\u3001\u4ee5\u4e0b\u304c\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3067\u3059\u3002<\/p>\n<ul>\n<li>\\(P(X\u2265a)\\)\\(\u2264\\displaystyle\\frac{E(X)}{a}\\)<\/li>\n<\/ul>\n<p>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3068\u6bd4\u3079\u3066\u3001\u5f0f\u304c\u4f3c\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u3067\u306f\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\\(a\\)\u306f\u4efb\u610f\u306e\u5b9a\u6570\\((a&gt;0)\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\\(P(X\u2265a)\\)\u3068\u3044\u3046\u306e\u306f\u3001\\(a\\)\u3088\u308a\u3082\u5927\u304d\u3044\u5024\u306e\u3068\u304d\u306e\u78ba\u7387\u3092\u6307\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u53f3\u8fba\u306b\u306f\u671f\u5f85\u5024\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u671f\u5f85\u5024\u3092\\(a\\)\u3067\u5272\u3063\u305f\u5024\u3068\u3044\u3046\u306e\u306f\u3001\\(P(X\u2265a)\\)\u3088\u308a\u3082\u5927\u304d\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u30c7\u30fc\u30bf\u3092\u5f97\u308b\u3068\u304d\u3001\u671f\u5f85\u5024\uff08\u5e73\u5747\uff09\u304b\u3089\u5927\u304d\u304f\u5916\u308c\u308b\u5024\u304c\u51fa\u308b\u3053\u3068\u306f\u73cd\u3057\u3044\u3067\u3059\u3002\u3053\u308c\u3092\u6570\u5f0f\u3067\u8868\u3057\u3066\u3044\u308b\u306e\u304c\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3067\u3059\u3002\u4efb\u610f\u306e\u5024\\(a\\)\u3088\u308a\u3082\u5927\u304d\u3044\u78ba\u7387\u5909\u6570X\u3067\u3042\u3063\u3066\u3082\u3001\u767a\u751f\u78ba\u7387\u306f\u671f\u5f85\u5024\u3092\\(a\\)\u3067\u5272\u308b\u5024\u3088\u308a\u3082\u5fc5\u305a\u5c0f\u3055\u3044\u306e\u3067\u3059\u3002<\/p>\n<h3>\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b<\/h3>\n<p>\u305d\u308c\u3067\u306f\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u9ad8\u6821\u6570\u5b66\u3067\u5b66\u3076\u7a4d\u5206\u3092\u7406\u89e3\u3057\u3066\u3044\u308c\u3070\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e\u304c\u53ef\u80fd\u3067\u3059\u3002<\/p>\n<p><span style=\"color: #0000ff;\">\u9023\u7d9a\u578b\u78ba\u7387\u5206\u5e03\u306e\u5834\u5408\u3001\u671f\u5f85\u5024\\(E(X)\\)\u3068\u3044\u3046\u306e\u306f\u3001\u78ba\u7387\u5bc6\u5ea6\\(f(x)\\)\uff08\u767a\u751f\u3059\u308b\u78ba\u7387\uff09\u306b\u5bfe\u3057\u3066\u78ba\u7387\u5909\u6570X\uff08\\(x\\)\uff09\u3092\u304b\u3051\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span>\u305f\u3060\u9023\u7d9a\u578b\u78ba\u7387\u5206\u5e03\u306e\u30b0\u30e9\u30d5\u306f\u66f2\u7dda\u3067\u3042\u308b\u305f\u3081\u3001\u7a4d\u5206\u3092\u5229\u7528\u3057\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u671f\u5f85\u5024\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(E(X)=\\displaystyle \\int_0^\u221e xP dx\\)<\/p>\n<p>\u6b21\u306b\u3001\u4efb\u610f\u306e\u70b9\\(a\\)\u3067\u9762\u7a4d\u3092\u5206\u3051\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(\\displaystyle \\int_0^\u221e xf(x) dx\\)\\(=\\displaystyle \\int_0^a xf(x) dx\\)\\(+\\displaystyle \\int_a^\u221e xP dx\\)<\/p>\n<p>\u3053\u306e\u7a4d\u5206\u3068\u3044\u3046\u306e\u306f\u3001\\(\\displaystyle \\int_a^\u221e xf(x) dx\\)\u306b\u6bd4\u3079\u3066\u5927\u304d\u3044\u5024\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(\\displaystyle \\int_0^a xf(x) dx\\)\\(+\\displaystyle \\int_a^\u221e xf(x) dx\\)\\(\u2265\\displaystyle \\int_a^\u221e xP dx\\)<\/p>\n<p>\u306a\u304a\u671f\u5f85\u5024\u306e\u8a08\u7b97\u3092\u3059\u308b\u3068\u304d\u3001\\(x\\)\u306e\u5024\u306f\u5897\u3048\u3066\u3044\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u30b5\u30a4\u30b3\u30ed\u306e\u76ee\u306f1\uff5e6\u307e\u3067\u306e\u6570\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\\(x\\)\u306e\u5024\u306f\u300c1\u30012\u30013\u30014\u30015\u30016\u300d\u3068\u5897\u3048\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p>\u4e00\u65b9\u3067\\(x\\)\u306e\u5024\u3092\u5897\u3084\u3059\u306e\u3067\u306f\u306a\u304f\u3001\u30b9\u30bf\u30fc\u30c8\u5730\u70b9\u306e\u5024\\(a\\)\u306b\u56fa\u5b9a\u3059\u308b\u5834\u5408\u306f\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u3067\u3057\u3087\u3046\u304b\u3002\\(x\\)\u306e\u5024\u3092\\(a\\)\u306b\u56fa\u5b9a\u3059\u308b\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3061\u307e\u3059(\\(X&gt;a\\))\u3002<\/p>\n<p>\\(\\displaystyle \\int_a^\u221e xf(x) dx\\)\\(\u2265a\\displaystyle \\int_a^\u221e f(x) dx\\)<\/p>\n<p>\u307e\u305f\u78ba\u7387\u5bc6\u5ea6\u3067\u306f\u3001\u9762\u7a4d\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u767a\u751f\u78ba\u7387P\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\\(P=\\displaystyle \\int_a^\u221e f(x) dx\\)\u3067\u3059\u3002<\/p>\n<p>\\(a\\displaystyle \\int_a^\u221e f(x) dx=aP(X\u2265a)\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\\(E(X)\u2265aP(X\u2265a)\\)\uff1a\u4e21\u8fba\u3092\\(a\\)\u3067\u5272\u308b<\/p>\n<p>\\(P(X\u2265a)\\)\\(\u2264\\displaystyle\\frac{E(X)}{a}\\)<\/p>\n<h3>\u78ba\u7387\u8ad6\u3067\u306e\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u8a3c\u660e<\/h3>\n<p>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u5148\u307b\u3069\u89e3\u8aac\u3057\u305f\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u307e\u305a\u3001\\(X=(X-\u03bc)^2\\)\u306b\u5909\u3048\u307e\u3057\u3087\u3046\u3002\u3069\u306e\u3088\u3046\u306a\u30b1\u30fc\u30b9\u3067\u3042\u3063\u3066\u3082\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u6210\u308a\u7acb\u3064\u305f\u3081\u3001\u78ba\u7387\u5909\u6570X\u3092\\((X-\u03bc)^2\\)\u3078\u5909\u66f4\u3059\u308b\u306e\u306f\u554f\u984c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u4efb\u610f\u306e\u6570\\(a\\)\u3092\\(k^2\u03c3^2\\)\u306b\u7f6e\u304d\u63db\u3048\u307e\u3057\u3087\u3046\u3002\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\\(P((X-\u03bc)^2\u2265k^2\u03c3^2)\\)\\(\u2264\\displaystyle\\frac{E((X-\u03bc)^2)}{k^2\u03c3^2}\\)<\/p>\n<p>\u306a\u304a\\((X-\u03bc)^2\u2265k^2\u03c3^2\\)\u304c\u6210\u308a\u7acb\u3064\u5834\u5408\u3001\u5fc5\u305a\\(|X-\u03bc|\u2265k\u03c3\\)\u3068\u306a\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5f0f\u3092\u76f4\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\\(P(|X-\u03bc|\u2265k\u03c3)\\)\\(\u2264\\displaystyle\\frac{E((X-\u03bc)^2)}{k^2\u03c3^2}\\)<\/p>\n<p>\u307e\u305f\\(E((X-\u03bc)^2)\\)\u306f\u5206\u6563\u306e\u5b9a\u7fa9\u3067\u3059\u3002\u3064\u307e\u308a\u3001\\(E((X-\u03bc)^2)=\u03c3^2\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\\(P(|X-\u03bc|\u2265k\u03c3)\\)\\(\u2264\\displaystyle\\frac{\u03c3^2}{k^2\u03c3^2}\\)<\/p>\n<p>\\(P(|X-\u03bc|\u2265k\u03c3)\\)\\(\u2264\\displaystyle\\frac{1}{k^2}\\)<\/p>\n<p>\u3053\u3046\u3057\u3066\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3059\u308c\u3070\u3001\u7c21\u5358\u306a\u30b9\u30c6\u30c3\u30d7\u306b\u3088\u3063\u3066\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n<h2>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u3001\u8a3c\u660e\u3092\u884c\u3046<\/h2>\n<p>\u7d71\u8a08\u5b66\u3067\u5b66\u3076\u78ba\u7387\u8ad6\u306e\u4e00\u3064\u304c\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3067\u3059\u3002\u6570\u5f0f\u3092\u898b\u3066\u3082\u5185\u5bb9\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u591a\u304f\u306e\u4eba\u304c\u610f\u5473\u3092\u628a\u63e1\u3059\u308b\u3053\u3068\u306a\u304f\u6559\u79d1\u66f8\u3092\u8aad\u307f\u9032\u3081\u3066\u3044\u304f\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002\u78ba\u7387\u5909\u6570X\u306b\u95a2\u4fc2\u306a\u304f\u3001\u3059\u3079\u3066\u306e\u5206\u5e03\u306b\u3064\u3044\u3066\u3001\u53d6\u308a\u3046\u308b\u6700\u5927\u306e\u78ba\u7387\u3092\u8a08\u7b97\u3067\u304d\u308b\u306e\u304c\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3067\u3059\u3002\u6b63\u898f\u5206\u5e03\u3067\u306a\u304f\u3066\u3082\u5229\u7528\u3067\u304d\u308b\u305f\u3081\u3001\u6709\u7528\u306a\u516c\u5f0f\u3067\u3059\u3002<\/p>\n<p>\u307e\u305f\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3059\u308b\u3068\u304d\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u4f55\u3092\u610f\u5473\u3057\u3066\u3044\u308b\u306e\u304b\u5b66\u3073\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3059\u308c\u3070\u3001\u30de\u30eb\u30b3\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u5229\u7528\u3057\u3066\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u8a3c\u660e\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u78ba\u7387\u8ad6\u3092\u5b66\u3076\u3068\u304d\u3001\u6570\u5f0f\u3092\u307f\u3066\u7406\u89e3\u3059\u308b\u306e\u306f\u3084\u3081\u307e\u3057\u3087\u3046\u3002\u305d\u3046\u3067\u306f\u306a\u304f\u3001\u6570\u5f0f\u304c\u6301\u3064\u610f\u5473\u3092\u7406\u89e3\u3059\u308c\u3070\u5185\u5bb9\u3092\u628a\u63e1\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u5b66\u3067\u78ba\u7387\u8ad6\u3092\u5b66\u3076\u3068\u304d\u3001\u6559\u79d1\u66f8\u306b\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u304c\u51fa\u3066\u304f\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305f\u3060\u591a\u304f\u306e\u4eba\u306b\u3068\u3063\u3066\u3001\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u306f\u96e3\u3057\u3044\u3067\u3059\u3002 \u6570\u5f0f\u3092\u898b\u3066\u3082\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u306e\u4e0d\u7b49\u5f0f\u3092\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u6570\u5f0f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6249,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":{"0":"post-6043","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-statistics"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/6043","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=6043"}],"version-history":[{"count":15,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/6043\/revisions"}],"predecessor-version":[{"id":6704,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/6043\/revisions\/6704"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/6249"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=6043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=6043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=6043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}