{"description":"\\begin{equation} P(B,C|A) = P(B|A)P(C|A) \\overset{?}{\\Longrightarrow} P(B,C|A^c) = P(B|A^c)P(C|A^c) \\end{equation} \u306f\u30c0\u30e1\u3060\u306a\u3002 \u78ba\u7387\u7a7a\u9593$\\Omega$\u30922\u3064\u306e\u30b5\u30a4\u30b3\u30edX,Y\u306e\u76ee\u5168\u4f53\u306e\u306a\u3059\u96c6\u5408\u3068\u3057\u3001$B$\u3092\u30b5\u30a4\u30b3\u30edX\u306e\u76ee\u304c1\u306e\u4e8b\u8c61, $C$\u3092\u30b5\u30a4\u30b3\u30edY\u306e\u76ee\u304c1\u306e\u4e8b\u8c61\u3068\u3059\u308b\u3068\u304d\u3001\u4e8b\u8c61$A=B \\cap C$\u3068\u3059\u308b\u3068\u3001$B \\perp\\!\\!\\!\\perp C\\,|\\,A$\u3067\u306f\u3042\u308b\u304c\u3001$B \\perp\\!\\!\\!\\perp C\\,|\\,A^c$\u3067\u306f\u306a\u3044\u3053\u3068\u306b\u306a\u308b\u3002$P(B,C|A^c\u2026","title":"\u72ec\u7acb\u6027\u306f\u6761\u4ef6\u4ed8\u304d\u72ec\u7acb\u6027\u3092\u5c0e\u304f\u304b\uff1f(2)","published":"2016-07-29 01:59:48","width":"100%","height":"190","blog_url":"https://randommemory.hatenablog.com/","image_url":null,"type":"rich","author_url":"https://blog.hatena.ne.jp/derwind/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F07%2F29%2F015948\" title=\"\u72ec\u7acb\u6027\u306f\u6761\u4ef6\u4ed8\u304d\u72ec\u7acb\u6027\u3092\u5c0e\u304f\u304b\uff1f(2) - \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>","author_name":"derwind","url":"https://randommemory.hatenablog.com/entry/2016/07/29/015948","version":"1.0","categories":["statistics"]}