Published May 3, 2021
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Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution
- Creators
-
Ouimet, Frédéric
- Qi, Feng
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.
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.Attached Files
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Additional details
- Eprint ID
- 112700
- Resolver ID
- CaltechAUTHORS:20220104-233133058
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- B3X
- Fonds de recherche du Québec - Nature et technologies (FRQNT)
- Created
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2022-01-05Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field