Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
DOI10.7153/mia-2022-25-45zbMath1505.26022arXiv2105.01494OpenAlexW3157905385MaRDI QIDQ5094442
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
gamma functioninequalitymultivariate gamma functionpositive definite matrixmultinomial distributionpolygamma functioncomplete monotonicityratiologarithmically complete monotonicitymatrix-variate Dirichlet distribution
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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- Completely monotonic gamma ratio and infinitely divisible H-function of Fox
- Extended matrix variate gamma and beta functions
- Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex
- Complete monotonicity of a function related to the binomial probability
- A complete monotonicity property of the gamma function
- A ratio of finitely many gamma functions and its properties with applications
- Completely monotonic ratios of basic and ordinary gamma functions
- On complete monotonicity for several classes of functions related to ratios of gamma functions
- Monotonicity properties for a ratio of finite many gamma functions
- From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
- Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions
- Integral representation of some functions related to the gamma function
- Extensions of the Minkowski inequality
- A class of completely mixed monotonic functions involving the gamma function with applications
- Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
- A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS
- Bernstein functions. Theory and applications
- Inequalities: theory of majorization and its applications
- Convex functions and their applications. A contemporary approach
