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arxiv: 1705.04057 · v1 · pith:XGDDRWLSnew · submitted 2017-05-11 · 🧮 math.PR

Singular Riesz measures on symmetric cones

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keywords measuressymmetricclassconesconesdefineddistributionsexplicitdescriptionfamous
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In this paper, we give an explicitdescription of a class of positive measures on symmetric conesdefined by their Laplace transforms in the framework of the Rieszintegrals. This work is motivated by the importance of thesemeasures in probability theory and statistics sincethey represent a generalization of the measures generating the famous Wishart distributions.

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