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Some properties of complex matrix-variate generalized Dirichlet integrals

Joy Jacob·Sebastian George·A M Mathai
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Abstract

Dirichlet integrals and the associated Dirichlet statistical densities are widely used in various areas. Generalizations of Dirichlet integrals and Dirichlet models to matrix-variate cases, when the matrices are real symmetric positive definite or hermitian positive definite, are available \cite{4}. Real scalar variables case of the Dirichlet models are generalized in various directions. One such generalization of the type-2 or inverted Dirichlet is looked into in this article. Matrix-variate analogue, when the matrices are hermitian positive definite, are worked out along with some properties which are mathematically and statistically interesting.

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Joy Jacob, Sebastian George, A M Mathai. 2006-07-25. Some properties of complex matrix-variate generalized Dirichlet integrals. https://arxiv.org/abs/math/0607625

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