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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 Rice distribution ： ウィキペディア英語版 Rice distribution In probability theory, the Rice distribution or Rician distribution is the probability distribution of the magnitude of a circular bivariate normal random variable with potentially non-zero mean. It was named after Stephen O. Rice. ==Characterization== The probability density function is :$$ f(x\mid\nu,\sigma) = \frac\exp\left(\frac \right)I_0\left(\frac\right), where ''I''0(''z'') is the modified Bessel function of the first kind with order zero. The characteristic function is:〔Liu 2007 (in one of Horn's confluent hypergeometric functions with two variables).〕〔Annamalai 2000 (in a sum of infinite series).〕 :$$ \begin &\chi_X(t\mid\nu,\sigma) \\ & \quad = \exp \left( -\frac \right) \left, \end where $\backslash Psi\_2\; \backslash left(\; \backslash alpha;\; \backslash gamma,\; \backslash gamma\text{'};\; x,\; y\; \backslash right)$ is one of Horn's confluent hypergeometric functions with two variables and convergent for all finite values of $x$ and $y$. It is given by:〔Erdelyi 1953.〕〔Srivastava 1985.〕 :$\backslash Psi\_2\; \backslash left(\; \backslash alpha;\; \backslash gamma,\; \backslash gamma\text{'};\; x,\; y\; \backslash right)\; =\; \backslash sum\_^\backslash sum\_^\backslash infty\; \backslash frac\; \backslash frac,$ where : $(x)\_n\; =\; x(x+1)\backslash cdots(x+n-1)\; =\; \backslash frac$ is the rising factorial. 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「Rice distribution」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.