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Inverted Dirichlet Distribution and Multivariate Logistic Distribution

✍ Scribed by H. Yassaee


Book ID
115056647
Publisher
John Wiley and Sons
Year
1974
Tongue
French
Weight
233 KB
Volume
2
Category
Article
ISSN
0319-5724

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Let (X~,X2,...,Xq) have the multivariate Dirichlet distribution with parameters (p~, p2 ..... pq), on the linear space of symmetric (r, r) real matrices. We prove that for a given set of positive numbers fl, f2 ..... fu one has ~[(det(flXj +... + f qXq)) -~p'+''+p")] = f~rp .... f ~rp,~.