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Logarithmic complete monotonicity of a matrix-parametrized analogue of the multinomial distribution

Published 3 May 2021 in math.CA, math.FA, and math.PR | (2105.01494v3)

Abstract: In the paper, the authors introduce a matrix-parametrized generalization of the multinomial probability mass function that involves a ratio of several multivariate gamma functions. They show the logarithmic complete monotonicity of this generalization and derive new inequalities involving ratios of multivariate gamma functions.

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