An entropy inequality for the bi-multivariate hypergeometric distribution
Authors:
Fred Kochman, Alan Murray and Douglas B. West
Journal:
Proc. Amer. Math. Soc. 107 (1989), 479-485
MSC:
Primary 60E05; Secondary 94A17
DOI:
https://doi.org/10.1090/S0002-9939-1989-0979050-8
MathSciNet review:
979050
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Abstract | References | Similar Articles | Additional Information
Abstract: Given parameters and
with
, the bi-multivariate hypergeometric distribution is the distribution on nonnegative integer
matrices with row sums
and column sums
defined by
. It is shown that the entropy of this distribution is a Schur-concave function of the block-size parameters.
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- [2] P. S. Matveev, The entropy of the multinomial distribution, Teor. Verojatnost. i Primenen. 23 (1978), no. 1, 196–198 (Russian, with English summary). MR 0490451
- [3] L. A. Shepp and I. Olkin, Entropy of the sum of independent Bernoulli random variables and of the multinomial distribution, Contributions to probability, Academic Press, New York-London, 1981, pp. 201–206. MR 618689
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1989-0979050-8
Article copyright:
© Copyright 1989
American Mathematical Society