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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 Combinant ： ウィキペディア英語版 Combinant In the mathematical theory of probability, the combinants ''c''''n'' of a random variable ''X'' are defined via the combinant-generating function ''G''(''t''), which is defined from the moment generating function ''M''(''z'') as :$G\_X(t)=M\_X(\backslash log(1+t))$ which can be expressed directly in terms of a random variable ''X'' as :$G\_X(t)\; :=\; E\backslash left(),\; \backslash quad\; t\; \backslash in\; \backslash mathbb,$ wherever this expectation exists. The ''n''th combinant can be obtained as the ''n''th derivatives of the logarithm of combinant generating function evaluated at –1 divided by ''n'' factorial: :$c\_n\; =\; \backslash frac\; \backslash frac\; \backslash log(G\; (t))\; \backslash bigg|\_$ Important features in common with the cumulants are: * the combinants share the additivity property of the cumulants; * for infinite divisibility (probability) distributions, both sets of moments are strictly positive. ==References== * (Google Books ) 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「Combinant」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.