{"blog_url":"https://randommemory.hatenablog.com/","type":"rich","url":"https://randommemory.hatenablog.com/entry/2015/11/01/220639","published":"2015-11-01 22:06:39","author_url":"https://blog.hatena.ne.jp/derwind/","provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2015%2F11%2F01%2F220639\" title=\"\u4e0d\u504f\u63a8\u5b9a\u91cf - \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>","height":"190","author_name":"derwind","version":"1.0","categories":["statistics"],"provider_name":"Hatena Blog","image_url":null,"title":"\u4e0d\u504f\u63a8\u5b9a\u91cf","description":"\u3042\u308b\u30d1\u30e9\u30e1\u30fc\u30bf$\\theta$\u306e\u63a8\u5b9a\u91cf$\\hat{\\theta}$\u306b\u95a2\u3057\u3066$E[\\hat{\\theta}] = \\theta$\u304c\u6210\u7acb\u3059\u308b\u6642\u3001$\\hat{\\theta}$\u3092\u4e0d\u504f\u63a8\u5b9a\u91cf\u3068\u8a00\u3046\u306e\u3067\u3042\u3063\u305f\u3002 \u4f8b\u3048\u3070\u3001\u72ec\u7acb\u540c\u5206\u5e03\u306e\u78ba\u7387\u5909\u6570$\\{X_j\\}_{j=1}^n$\u306b\u95a2\u3059\u308b\u6a19\u672c\u5e73\u5747$\\overline{X} = \\frac{1}{n}\\sum_{j=1}^n X_j$\u306f\u3001$E[X_1] = \\mu$\u3068\u3059\u308b\u3068\u3001$E[\\overline{X}] = \\frac{1}{n} \\sum_{j=1}^n X[X_j] = \\frac{1}{n} \\sum_{j=1}^n \\mu = \\mu$\u3068\u306a\u308b\u3053\u3068\u304b\u3089\u3001\u2026","width":"100%","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6"}