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

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.

12 pages, 0 figures

References in corpus (1)

• From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions

Cited by in corpus (2)

• Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind
• Moments of the negative multinomial distribution