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On the projections of the Dirichlet probability distribution on symmetric cones
Authors:A Hassairi  M Masmoudi  R Zine
Institution:Laboratory of Probability and Statistics, Sfax University, Tunisia
Abstract:In this paper, we introduce the Riesz-Dirichlet distribution on a symmetric cone as an extension of the Dirichlet distribution defined by the Wishart distribution. We also show that some projections of these distributions related to the Pierce decomposition are also Dirichlet.
Keywords:Symmetric cone  Division algorithm  Wishart distribution  Riesz distribution  Dirichlet distribution
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