Entropy inequalities for classes of probability distributions II. The multivariate case

DOI10.2307/1426687zbMath0461.60031OpenAlexW4234137565MaRDI QIDQ3911142

Yosef Rinott, Samuel Karlin

Publication date: 1981

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426687

zbMATH Keywords

multivariate distributionsentropy functionalmultivariate Schur convexitymultivariate Schur-concave function

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17)

Related Items (9)

Group invariant orderings and experimental designs ⋮ Group-invariant analogues of Hadamard's inequality ⋮ Permanents in probability and statistics ⋮ Entropy inequalities for some multivariate distributions ⋮ Maximum entropy characterizations of the multivariate Liouville distributions ⋮ On maximum entropy characterization of Pearson's type II and VII multivariate distributions ⋮ Multinomial Probabilities, Permanents and a Conjecture of Karlin and Rinott ⋮ Majorization in economic disparity measures ⋮ Comments on and complements to: ``Inequalities: Theory of majorization and its applications, by Albert W. Marshall and Ingram Olkin

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