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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bhatia–Davis inequality ： ウィキペディア英語版 Bhatia–Davis inequality In mathematics, the Bhatia–Davis inequality, named after Rajendra Bhatia and Chandler Davis, is an upper bound on the variance of any bounded probability distribution on the real line. Suppose a distribution has minimum ''m'', maximum ''M'', and expected value ''μ''. Then the inequality says: : $\backslash text\; \backslash le\; (M\; -\; \backslash mu)(\backslash mu\; -\; m).\; \backslash ,$ Equality holds precisely if all of the probability is concentrated at the endpoints ''m'' and ''M''. The Bhatia–Davis inequality is stronger than Popoviciu's inequality on variances. ==See also== *Cramér–Rao bound *Chapman–Robbins bound 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bhatia–Davis inequality」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.