{"blog_url":"https://randommemory.hatenablog.com/","provider_url":"https://hatena.blog","url":"https://randommemory.hatenablog.com/entry/2015/10/24/180314","published":"2015-10-24 18:03:14","image_url":null,"author_url":"https://blog.hatena.ne.jp/derwind/","width":"100%","version":"1.0","type":"rich","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","height":"190","author_name":"derwind","provider_name":"Hatena Blog","categories":["statistics","math-probability"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F10%2F24%2F180314\" title=\"\u5927\u6570\u306e\u6cd5\u5247\u3068\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","title":"\u5927\u6570\u306e\u6cd5\u5247\u3068\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406","description":"\u307c\u3093\u3084\u308a\u7d71\u8a08\u5b66\u306e\u52c9\u5f37\u3082\u3069\u304d\u3092\u3059\u308b\u3068\u9593\u9055\u3044\u306a\u304f\u5927\u6570\u306e\u6cd5\u5247\u3068\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306b\u906d\u9047\u3059\u308b\u3002 \u78ba\u7387\u8ad6 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u5927\u6570\u306e\u6cd5\u5247\u306b\u3064\u3044\u3066\u30e1\u30e2\u3092\u3057\u305f\u306e\u3092\u601d\u3044\u51fa\u3057\u305f\u3002 \u7d71\u8a08\u5b66\u306e\u6559\u79d1\u66f8\u7684\u306a\u8a18\u6cd5\u3092\u7528\u3044\u308b\u3068\u3001\u6a19\u672c\u5e73\u5747$\\overline{X} := \\frac{S_n}{n} = \\frac{1}{n} \\sum_{j=1}^n X_j$\u306b\u3064\u3044\u3066\u3001$n$\u304c\u5341\u5206\u306b\u5927\u304d\u3051\u308c\u3070\u3001$P(|\\overline{X} - \\mu| > \\varepsilon) \\approx 0$\u3068\u3044\u3046\u5185\u5bb9\u3060\u3063\u305f\u3002\u3053\u3053\u3067\u5404$X_j$\u306f\u72ec\u7acb\u540c\u5206\u5e03\u3067$\\mu = E[X_1]$\u3068\u3057\u3066\u3044\u308b\u3002 \u7c97\u3044\u66f8\u304d\u65b9\u3092\u3059\u308b\u3068$\\overline{X} \\ap\u2026"}