Ouimet, Frédéric and Qi, Feng (2021) Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220104-233133058
![]() |
PDF
- Submitted Version
See Usage Policy. 181kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20220104-233133058
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 logarithmically complete monotonicity of this generalization and derive new inequalities involving ratios of multivariate gamma functions.
Item Type: | Report or Paper (Discussion Paper) | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
ORCID: |
| ||||||
Additional Information: | The authors thank Gérard Letac (Institut de Mathématiques de Toulouse, Université Paul Sabatier, France; gerard.letac@math.univ-toulouse.fr) for providing the third proof of Lemma 2.1. F. Ouimet was supported by postdoctoral fellowships from the NSERC (PDF) and the FRQNT (B3X supplement). Data availability statement. No data were used to support this study. The authors declare no conflict of interest. The authors contributed equally to this work. All authors read and approved the final manuscript. | ||||||
Funders: |
| ||||||
Subject Keywords: | complete monotonicity, logarithmically complete monotonicity, ratio, multivariate gamma function, multinomial distribution, matrix-variate Dirichlet distribution, positive definite matrix, inequality | ||||||
Classification Code: | 2020 MSC: Primary 26A48; Secondary 05A20, 11B57, 26A51, 33B15, 44A10, 60E05, 60E10, 62E15 | ||||||
Record Number: | CaltechAUTHORS:20220104-233133058 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220104-233133058 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 112700 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | George Porter | ||||||
Deposited On: | 05 Jan 2022 16:12 | ||||||
Last Modified: | 05 Jan 2022 16:12 |
Repository Staff Only: item control page