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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 Normal-inverse-Wishart distribution ： ウィキペディア英語版 Normal-inverse-Wishart distribution In probability theory and statistics, the normal-inverse-Wishart distribution (or Gaussian-inverse-Wishart distribution) is a multivariate four-parameter family of continuous probability distributions. It is the conjugate prior of a multivariate normal distribution with unknown mean and covariance matrix (the inverse of the precision matrix).〔Murphy, Kevin P. (2007). "Conjugate Bayesian analysis of the Gaussian distribution." ()〕 ==Definition== Suppose :$\backslash boldsymbol\backslash mu|\backslash boldsymbol\backslash mu\_0,\backslash lambda,\backslash boldsymbol\backslash Sigma\; \backslash sim\; \backslash mathcal\backslash left(\backslash boldsymbol\backslash mu\backslash Big|\backslash boldsymbol\backslash mu\_0,\backslash frac\backslash boldsymbol\backslash Sigma\backslash right)$ has a multivariate normal distribution with mean $\backslash boldsymbol\backslash mu\_0$ and covariance matrix $\backslash tfrac\backslash boldsymbol\backslash Sigma$, where :$\backslash boldsymbol\backslash Sigma|\backslash boldsymbol\backslash Psi,\backslash nu\; \backslash sim\; \backslash mathcal^(\backslash boldsymbol\backslash Sigma|\backslash boldsymbol\backslash Psi,\backslash nu)$ has an inverse Wishart distribution. Then $(\backslash boldsymbol\backslash mu,\backslash boldsymbol\backslash Sigma)$ has a normal-inverse-Wishart distribution, denoted as :$(\backslash boldsymbol\backslash mu,\backslash boldsymbol\backslash Sigma)\; \backslash sim\; \backslash mathrm(\backslash boldsymbol\backslash mu\_0,\backslash lambda,\backslash boldsymbol\backslash Psi,\backslash nu)\; .$ 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「Normal-inverse-Wishart 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.