Mathematical Inequalities & Applications · Volume 25, Issue 3

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

25-45 Pages 703-714 DOI 10.7153/mia-2022-25-45

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Authors

Frédéric Ouimet Feng Qi

Keywords

complete monotonicity logarithmically complete monotonicity ratio multivariate gamma function gamma function polygamma function multinomial distribution matrix-variate Dirichlet distribution positive definite matrix inequality

Subject classes

26A48 05A20 11B57 26A51 33B15 44A10 60E05 60E10 62E15