Extension of the Olkin and Rubin Characterization to the Wishart distribution on homogeneous cones

Mathematics – Probability

Scientific paper

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Scientific paper

The Wishart distribution on an homogeneous cone is a generalization of the
Riesz distribution on a symmetric cone which corresponds to a given graph. The
paper extends to this distribution, the famous Olkin and Rubin characterization
of the ordinary Wishart distribution on symmetric matrices.

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