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

DOI10.7153/mia-2022-25-45zbMath1505.26022arXiv2105.01494OpenAlexW3157905385MaRDI QIDQ5094442

Frédéric Ouimet, Feng Qi

Publication date: 3 August 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01494

zbMATH Keywords

gamma functioninequalitymultivariate gamma functionpositive definite matrixmultinomial distributionpolygamma functioncomplete monotonicityratiologarithmically complete monotonicitymatrix-variate Dirichlet distribution

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Gamma, beta and polygamma functions (33B15) Combinatorial inequalities (05A20) Approximations to statistical distributions (nonasymptotic) (62E17) Monotonic functions, generalizations (26A48)

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Uses Software

• DLMF

Cites Work

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