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arXiv · 2105.01494

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

Frédéric Ouimet·Feng Qi
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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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Frédéric Ouimet, Feng Qi. 2021-05-03. Logarithmic complete monotonicity of a matrix-parametrized analogue of the multinomial distribution. https://doi.org/10.7153/mia-2022-25-45

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