REMARKS ON THE POSITIVITY OF $ \alpha $-DETERMINANTS

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概要

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• We give a probabilistic expression of the $ \alpha $-determinant by using the Wishart distribution on the cone of positive definite matrices. As a corollary, we give a partial answer to a positivity problem for the $ \alpha $-determinant which is equivalent to the existence problem of certain multivariate probability distributions. We also give a concrete example to support our conjecture for the positivity.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• Shirai Tomoyuki

  Faculty Of Mathematics Kyushu University

関連論文

• JOINT DISTRIBUTION OF THE COVER TIME AND THE LAST VISITED POINT OF FINITE MARKOV CHAINS
• Variance of the linear statistics of the Ginibre random point field (Proceedings of RIMS Workshop on Stochastic Analysis and Applications)
• REMARKS ON THE POSITIVITY OF $ \alpha $-DETERMINANTS

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