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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 Multivariate t-distribution ： ウィキペディア英語版 Multivariate t-distribution | cdf =No analytic expression| mean =$\backslash boldsymbol\backslash mu$ if $\backslash nu\; >\; 1$; else undefined| median =$\backslash boldsymbol\backslash mu$| mode =$\backslash boldsymbol\backslash mu$| variance =$\backslash frac\; \backslash boldsymbol\backslash Sigma$ if $\backslash nu\; >\; 2$; else undefined| skewness =0| kurtosis =| entropy =| mgf =| char =| }} In statistics, the multivariate t-distribution (or multivariate Student distribution) is a multivariate probability distribution. It is a generalization to random vectors of the Student's t-distribution, which is a distribution applicable to univariate random variables. While the case of a random matrix could be treated within this structure, the matrix t-distribution is distinct and makes particular use of the matrix structure. ==Definition== One common method of construction of a multivariate t distribution, for the case of $p$ dimensions, is based on the observation that if $\backslash mathbf\; y$ and $u$ are independent and distributed as $(,)$ and $\backslash chi^2\_\backslash nu$ (i.e. multivariate normal and chi-squared distributions) respectively, the covariance $\backslash mathbf\backslash ,$ is a ''p'' × ''p'' matrix, and $\backslash sqrt=-$, then $$ has the density :$$ \frac\left|\right|^\left(multivariate Cauchy distribution. 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「Multivariate t-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.