Ouimet, Frédéric and Qi, Feng (2022) Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution. Mathematical Inequalities and Applications, 25 (3). pp. 703-714. ISSN 1331-4343. doi:10.7153/mia-2022-25-45. https://resolver.caltech.edu/CaltechAUTHORS:20221011-459087000.30
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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 several inequalities involving ratios of multivariate gamma functions.
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| 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 contributed equally to this work. All authors read and approved the final manuscript. The authors declare no conflict of interest. | |||||||||
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| Issue or Number: | 3 | |||||||||
| DOI: | 10.7153/mia-2022-25-45 | |||||||||
| Record Number: | CaltechAUTHORS:20221011-459087000.30 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20221011-459087000.30 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 117337 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Donna Wrublewski | |||||||||
| Deposited On: | 12 Oct 2022 22:49 | |||||||||
| Last Modified: | 12 Oct 2022 22:49 |
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