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Instatistics, a matrix gamma distribution is a generalization of the gamma distributiontopositive-definite matrices.[1] It is effectively a different parametrization of the Wishart distribution, and is used similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution resulting from compounding a matrix normal with a matrix gamma prior over the precision matrix is a generalized matrix t-distribution.[1]
A matrix gamma distributions is identical to a Wishart distribution with
Notice that the parameters and
are not identified; the density depends on these two parameters through the product
.
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