{"image_url":null,"version":"1.0","categories":["statistics","math-probability"],"url":"https://randommemory.hatenablog.com/entry/2020/07/22/010442","width":"100%","published":"2020-07-22 01:04:42","height":"190","description":"t \u5206\u5e03\u304c\u5178\u578b\u7684\u306b\u3069\u3053\u3067\u51fa\u3066\u304f\u308b\u304b\u3068\u8a00\u3046\u3068\u3001[1] p.201 \u306b\u3042\u308b\u3088\u3046\u306b\u3042\u308b\u6bcd\u96c6\u56e3\u304b\u3089\u6a19\u672c\u3092\u62bd\u51fa\u3057\u305f\u5834\u5408\u306b\u3001\u6bcd\u5206\u6563\u304c\u672a\u77e5\u306e\u5834\u5408\u306b\u6a19\u672c\u5e73\u5747\u306e\u6a19\u672c\u5206\u5e03\u3092\u6271\u304a\u3046\u3068\u3059\u308b\u5834\u5408\u306b\u51fa\u3066\u304f\u308b\u3002\u6bcd\u5206\u6563\u304c\u4e0d\u660e\u306a\u306e\u3067\u3001\u6a19\u672c\u5206\u6563\u3068\u3057\u3066\u306e\u4e0d\u504f\u5206\u6563 \\begin{align} s^2 = \\frac{1}{n-1}\\sum_{i=1}^n (X_i - \\bar{X})^2 \\end{align}\u3067\u4ee3\u7528\u3057\u3088\u3046\u3068\u3059\u308b\u6642\u306b t \u5206\u5e03\u3068\u3044\u3046\u3082\u306e\u304c\u73fe\u308c\u3066\u304f\u308b\u3002[3] p.91 \u3088\u308a\u81ea\u7531\u5ea6 $m$ \u306e t \u5206\u5e03 $t_m$ \u306f $m=1$ \u3067 Cauchy \u5206\u5e03\u306b\u4e00\u81f4\u3057\u3001 $m \\to \\infty$ \u3067\u6a19\u6e96\u6b63\u898f\u5206\u5e03 $N(0\u2026","author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","title":"t\u5206\u5e03\u3078\u306e\u9053 (3)","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2020%2F07%2F22%2F010442\" title=\"t\u5206\u5e03\u3078\u306e\u9053 (3) - \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","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6"}