{"description":"Theorem Let be a log-concave random variable with expected value and variable . Let be a probability distribution function and hold for all . Let as . Let be . Then, for any , . For , if k satisfies the condition , the same inequality holds. The simple examples are , , . We have . . . Proof of Theor\u2026","provider_url":"https://hatena.blog","blog_title":"\u8da3\u5473\u306e\u7814\u7a76","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fhobbymath.hatenadiary.jp%2Fentry%2F2018%2F03%2F30%2F173131\" title=\"The extension of Chebyshev inequality 2 - \u8da3\u5473\u306e\u7814\u7a76\" 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","author_name":"hobbymath","blog_url":"https://hobbymath.hatenadiary.jp/","height":"190","width":"100%","author_url":"https://blog.hatena.ne.jp/hobbymath/","title":"The extension of Chebyshev inequality 2","published":"2018-03-30 17:31:31","image_url":"https://chart.apis.google.com/chart?cht=tx&chl=X%20%5Cin%20%5Cmathcal%7BR%7D","provider_name":"Hatena Blog","version":"1.0","url":"https://hobbymath.hatenadiary.jp/entry/2018/03/30/173131","categories":[]}