hobbymath https://blog.hatena.ne.jp/hobbymath/ 趣味の研究 https://hobbymath.hatenadiary.jp/ 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… 190 <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 - 趣味の研究" class="embed-card embed-blogcard" scrolling="no" frameborder="0" style="display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;"></iframe> https://chart.apis.google.com/chart?cht=tx&chl=X%20%5Cin%20%5Cmathcal%7BR%7D Hatena Blog https://hatena.blog 2018-03-30 17:31:31 rich https://hobbymath.hatenadiary.jp/entry/2018/03/30/173131 1.0 100%