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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 Rayleigh distribution ： ウィキペディア英語版 Rayleigh distribution | median =$\backslash sigma\backslash sqrt\backslash ,$| mode =$\backslash sigma\backslash ,$| variance =$\backslash frac\; \backslash sigma^2$| skewness =$\backslash frac$| entropy =$1+\backslash ln\backslash left(\backslash frac$| mgf =$1+\backslash sigma\; t\backslash ,e^\backslash sqrt\}$ \left(\textrm\left(\frac\sqrt}\!\left(\textrm\!\left(\frac} In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution for positive-valued random variables. A Rayleigh distribution is often observed when the overall magnitude of a vector is related to its directional components. One example where the Rayleigh distribution naturally arises is when wind velocity is analyzed into its orthogonal 2-dimensional vector components. Assuming that each component is uncorrelated, normally distributed with equal variance, and zero mean, then the overall wind speed (vector magnitude) will be characterized by a Rayleigh distribution. A second example of the distribution arises in the case of random complex numbers whose real and imaginary components are i.i.d. (independently and identically distributed) Gaussian with equal variance and zero mean. In that case, the absolute value of the complex number is Rayleigh-distributed. The distribution is named after Lord Rayleigh. ==Definition== The probability density function of the Rayleigh distribution is〔Papoulis, Athanasios; Pillai, S. (2001) ''Probability, Random Variables and Stochastic Processe''. ISBN 0073660116, ISBN 9780073660110 〕 :$f(x;\backslash sigma)\; =\; \backslash frac\; e^,\; \backslash quad\; x\; \backslash geq\; 0,$ where $\backslash sigma$ is the scale parameter of the distribution. The cumulative distribution function is〔 :$F(x;\backslash sigma)\; =\; 1\; -\; e^$ for $x\; \backslash in\; [0,\backslash infty).$ 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「Rayleigh 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.