{"id":1335,"date":"2020-06-25T11:00:00","date_gmt":"2020-06-25T02:00:00","guid":{"rendered":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/?p=1335"},"modified":"2020-06-17T14:45:59","modified_gmt":"2020-06-17T05:45:59","slug":"kurtosis","status":"publish","type":"post","link":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/kurtosis","title":{"rendered":"\u5c16\u5ea6\u3068\u306f\u3010\u5b9a\u7fa9\u3068\u610f\u5473\u3092\u5fb9\u5e95\u89e3\u8aac\u3011"},"content":{"rendered":"\n<p class=\"has-text-align-right\"><span style=\"text-decoration: underline;\">\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u5927\u5b66\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606<\/span><\/p>\n\n\n\n\n\n\n\n<p>\u78ba\u7387\u5206\u5e03\u306e\u7279\u5fb4\u4ed8\u3051\u3068\u3057\u3066<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/mean-definition\">\u671f\u5f85\u5024<\/a>\u3001<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/variance\">\u5206\u6563<\/a>\u306f\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u6307\u6a19\u3067\u3059\u304c\u3001\uff12\u3064\u306b\u52a0\u3048\u3066\u6b6a\u5ea6\u30fb\u5c16\u5ea6\u304c\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u6b6a\u5ea6\u30fb\u5c16\u5ea6\u306e\u8a08\u7b97\u306b\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\u30e2\u30fc\u30e1\u30f3\u30c8<\/a>\uff08\u307e\u305f\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/cgf\">\u30ad\u30e5\u30e0\u30e9\u30f3\u30c8<\/a>\uff09\u306e\u77e5\u8b58\u304c\u5fc5\u8981\u306b\u306a\u308b\u306e\u3067\u3001\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u5206\u304b\u3089\u306a\u3044\u65b9\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\uff1c\u30e2\u30fc\u30e1\u30f3\u30c8\u3068\u306f\u306e\u8a18\u4e8b\uff1e<\/a>\u3092\u4e88\u3081\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<h3>\u5c16\u5ea6\u306e\u5b9a\u7fa9<\/h3>\n\n\n\n<div style=\"display: inline-block; background: #33cc33; padding: 5px 10px; color: #ffffff; border-radius: 5px 5px 0 0;\"><strong>\u5c16\u5ea6(kurtosis)<\/strong><\/div>\n<div style=\"background: #ffffea; padding: 10px; border: 2px solid #33cc33;\">\u78ba\u7387\u5206\u5e03\u306e\u88fe\u306e\u9577\u3055\u3092\u8868\u3059\u6307\u6a19\u3068\u3057\u3066\u5c16\u5ea6\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u3001\u8a18\u53f7\\(\\beta_{2}\\)\u3067\u8868\u3057\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002$$\\beta_{2} = \\frac{\\mu_{4}}{\\sigma^{4}}=\\frac{\\mu_{4}}{\\mu_{2}\\,^{2}}$$\u3053\u3053\u3067\u3001\\(X\\)\u3092\u78ba\u7387\u5909\u6570\u3068\u3057\\(\\mu\\)\u3092\u671f\u5f85\u5024\u3001\\(\\sigma^{2}\\)\u3092\u5206\u6563\u3068\u3059\u308b\u3068\u3001\\((X-\\mu)\/\\sigma\\)\u306e4\u6b21\u30e2\u30fc\u30e1\u30f3\u30c8\u304c\u5c16\u5ea6\u3068\u306a\u308a\u307e\u3059\u3002<\/div>\n\n\n\n<p>\u203b\u3000\\(\\mu_{j}\\)\u306f<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\\(j\\)\u6b21\u306e\u4e2d\u5fc3\u30e2\u30fc\u30e1\u30f3\u30c8<\/a>\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/px.a8.net\/svt\/ejp?a8mat=3BDSVQ+36B8XE+50+2HLY9D\" rel=\"nofollow\"> <img loading=\"lazy\" src=\"https:\/\/www22.a8.net\/svt\/bgt?aid=200518262192&amp;wid=001&amp;eno=01&amp;mid=s00000000018015051000&amp;mc=1\" alt=\"\" width=\"728\" height=\"90\" border=\"0\"><\/a> <img loading=\"lazy\" src=\"https:\/\/www12.a8.net\/0.gif?a8mat=3BDSVQ+36B8XE+50+2HLY9D\" alt=\"\" width=\"1\" height=\"1\" border=\"0\"><\/p>\n\n\n\n<p>\u5c16\u5ea6\u306e\u898b\u65b9\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<ul><li>\\(\\beta_{2}\\)\u304c\u5c0f\u3055\u304f\u306a\u308c\u3070\u306a\u308b\u307b\u3069\u3001\u78ba\u7387\u5bc6\u5ea6\u304c0\u306b\u8fd1\u3065\u304f\u30b9\u30d4\u30fc\u30c9\u304c\u901f\u304f\u306a\u308a\u307e\u3059\u3002<\/li><li>\u9006\u306b\\(\\beta_{2}\\)\u304c\u5927\u304d\u304f\u306a\u308c\u3070\u306a\u308b\u307b\u3069\u3001\u78ba\u7387\u5bc6\u5ea6\u304c0\u306b\u8fd1\u3065\u304f\u30b9\u30d4\u30fc\u30c9\u304c\u9045\u304f\u306a\u308a\u307e\u3059\u3002<\/li><\/ul>\n\n\n\n<p>\u5b9f\u969b\u306b\u3001\\(\\beta_{2}\\)\u306e\u5024\u306e\u9055\u3044\u306b\u3088\u3063\u3066\u78ba\u7387\u5bc6\u5ea6\u304c\u3069\u306e\u3088\u3046\u306b\u306a\u308b\u304b\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3057\u3087\u3046\uff08\u4eca\u56de\u306e\u4f8b\u306f\u6b63\u898f\u5206\u5e03\u3067\u884c\u3063\u3066\u3044\u307e\u3059\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"702\" src=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6-1024x702.png\" alt=\"\" class=\"wp-image-1344\" srcset=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6-1024x702.png 1024w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6-300x206.png 300w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6-768x527.png 768w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6-320x219.png 320w, https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6.png 1069w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" 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href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/skewness\">\u6b6a\u5ea6<\/a>\uff1a\u78ba\u7387\u5206\u5e03\u306e\u5bfe\u79f0\u6027\u3092\u8868\u3057\u307e\u3059\u3002\u5c16\u5ea6\u3068\u5408\u308f\u305b\u3066\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30fb<a href=\"https:\/\/develop-chronos.com\/statistics-top\/statistics\/moment\">\u30e2\u30fc\u30e1\u30f3\u30c8<\/a>\uff1a\u30e2\u30fc\u30e1\u30f3\u30c8\u306b\u3064\u3044\u3066\u5b9a\u7fa9\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u5927\u5b66\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606 \u78ba\u7387\u5206\u5e03\u306e\u7279\u5fb4\u4ed8\u3051\u3068\u3057\u3066\u671f\u5f85\u5024\u3001\u5206\u6563\u306f\u3088\u304f\u4f7f\u7528\u3055\u308c\u308b\u6307\u6a19\u3067\u3059\u304c\u3001\uff12\u3064\u306b\u52a0\u3048\u3066\u6b6a\u5ea6\u30fb\u5c16\u5ea6\u304c\u4f7f\u7528\u3055\u308c\u308b\u3053 &#8230; <\/p>\n","protected":false},"author":1,"featured_media":1344,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[84],"tags":[86,71],"jetpack_featured_media_url":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/06\/\u5c16\u5ea6.png","_links":{"self":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1335"}],"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=1335"}],"version-history":[{"count":11,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1335\/revisions"}],"predecessor-version":[{"id":1348,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/1335\/revisions\/1348"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media\/1344"}],"wp:attachment":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media?parent=1335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/categories?post=1335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/tags?post=1335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}