{"published":"2020-07-29 23:19:29","height":"190","provider_name":"Hatena Blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2020%2F07%2F29%2F231929\" title=\"t\u5206\u5e03\u3078\u306e\u9053 (6) - \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>","type":"rich","url":"https://randommemory.hatenablog.com/entry/2020/07/29/231929","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","width":"100%","provider_url":"https://hatena.blog","version":"1.0","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/","categories":["statistics","math-probability"],"title":"t\u5206\u5e03\u3078\u306e\u9053 (6)","image_url":null,"description":"\u5927\u5206\u7d42\u76e4\u3067\u3042\u308b\u306e\u3067\u3001\u3053\u3053\u3067 [1] p.201, [2] p.114 \u3092\u773a\u3081\u308b\u3002\u6a19\u672c\u5e73\u5747\u306e\u5206\u5e03\u3092\u8003\u3048\u308b\u306b\u3042\u305f\u3063\u3066\u6bcd\u5206\u6563\u304c\u672a\u77e5\u306e\u5834\u5408\u306b t \u5206\u5e03\u304c\u767b\u5834\u3059\u308b\u3002$X_1, \\cdots, X_n \\sim N(\\mu,\\sigma^2)$ i.i.d. \u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001\u7d71\u8a08\u91cf $\\frac{\\bar{X} -\\mu}{\\sigma/\\sqrt{n}}$ \u3092\u6271\u3048\u306a\u3044\u3068\u3044\u3046\u4e8b\u60c5\u304c\u3042\u308b\u3002\u306a\u304a\u3001$n$ \u3055\u3048\u5927\u304d\u3051\u308c\u3070\u3001t\u5206\u5e03\u3078\u306e\u9053 (1) - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u3067\u89e6\u308c\u305f\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306b\u3088\u308a\u6a19\u6e96\u6b63\u898f\u5206\u5e03 $N(0,1)$ \u306b\u8fd1\u4f3c\u7684\u306b\u5f93\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u3066\u3057\u307e\u3063\u3066\u3082\u826f\u3044\u3002 \u305d\u3053\u307e\u3067 $n$ \u304c\u5927\u304d\u304f\u306a\u3044\u5834\u5408\u306b\u306f\u6bcd\u5206\u6563\u306e\u3068\u2026","author_name":"derwind"}