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Wishart Distribution


If X_i for i=1, ..., m has a multivariate normal distribution with mean vector mu=0 and covariance matrix Sigma, and X denotes the m×p matrix composed of the row vectors X_i, then the p×p matrix X^(T)X has a Wishart distribution with scale matrix Sigma and degrees of freedom parameter m. The Wishart distribution is most typically used when describing the covariance matrix of multinormal samples. The Wishart distribution is implemented as WishartDistribution[sigma, m] in the Wolfram Language package MultivariateStatistics` .


See also

F-distribution, Multivariate Binomial Distribution, Hotelling T2 Distribution

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Cite this as:

Weisstein, Eric W. "Wishart Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WishartDistribution.html

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