Logarithmic complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
Classical Analysis and ODEs
2022-07-29 v3 Functional Analysis
Probability
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.
Keywords
Cite
@article{arxiv.2105.01494,
title = {Logarithmic complete monotonicity of a matrix-parametrized analogue of the multinomial distribution},
author = {Frédéric Ouimet and Feng Qi},
journal= {arXiv preprint arXiv:2105.01494},
year = {2022}
}
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12 pages, 0 figures