Multinomial probabilities, permanents and a conjecture of Karlin and Rinott-Reference-Cited by-同舟云学术

Multinomial probabilities, permanents and a conjecture of Karlin and Rinott

Published:1988 Issue:3 Volume:102 Page:467-472
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bapat R. B.

Abstract

The probability density function of a multiparameter multinomial distribution can be expressed in terms of the permanent of a suitable matrix. This fact and certain results on conditionally negative definite matrices are used to prove a conjecture due to Karlin and Rinott.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-03/S0002-9939-1988-0928962-9/S0002-9939-1988-0928962-9.pdf

Reference11 articles.

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2. Proof of the van der Waerden conjecture for permanents;Egorychev, G. P.;Sibirsk. Mat. Zh.,1981

3. Proof of the van der Waerden conjecture on the permanent of a doubly stochastic matrix;Falikman, D. I.;Mat. Zametki,1981

4. Entropy inequalities for classes of probability distributions. II. The multivariate case;Karlin, Samuel;Adv. in Appl. Probab.,1981

5. M. Marcus and M. Newman, The permanent of a symmetric matrix, Notices Amer. Math. Soc. 8 (1981), 595.

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