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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 Marcum Q-function ： ウィキペディア英語版 Marcum Q-function In statistics, the Marcum-Q-function $Q\_M$ is defined as :$Q\_M\; (a,b)\; =\; \backslash int\_^\; x\; \backslash left(\; \backslash frac\backslash right)^\; \backslash exp\; \backslash left(\; -\backslash frac\; \backslash right)\; I\_\; \backslash left(\; a\; x\; \backslash right)\; dx$ $Q\_M$ is also defined as :$Q\_M\; (a,b)\; =\; \backslash exp\; \backslash left(\; -\backslash frac\; \backslash right)\; \backslash sum\_^\; \backslash left(\; \backslash frac\backslash right)^\; I\_\; \backslash left(\; a\; b\; \backslash right)$ with modified Bessel function $I\_$ of order ''M'' − 1. The Marcum Q-function is used for example as a cumulative distribution function for noncentral chi-squared and Rice distributions. The Marcum Q-function is monotonic and log-concave.〔Yin Sun, Árpád Baricz, and Shidong Zhou (2010) ''On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall Q-Functions.'' ''IEEE Transactions on Information Theory'', 56(3), 1166-1186, 〕 == References == * Marcum, J. I. (1950) "Table of Q Functions". ''U.S. Air Force RAND Research Memorandum M-339''. Santa Monica, CA: Rand Corporation, Jan. 1, 1950. * Nuttall, Albert H. (1975): ''(Some Integrals Involving the QM Function )'', ''IEEE Transactions on Information Theory'', 21(1), 95-96, * Weisstein, Eric W. ''Marcum Q-Function.'' From MathWorld—A Wolfram Web Resource. () 〔 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「Marcum Q-function」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.