Schur convexity of the maximum likelihood function for the multivariate hypergeometric and multinomial distributions

DOI10.1016/0167-7152(87)90002-2zbMath0642.62034OpenAlexW1987419076MaRDI QIDQ1101163

Philip J. Boland, Frank Proschan

Publication date: 1987

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(87)90002-2

zbMATH Keywords

Schur convex functionmajorizationmultivariate hypergeometricmaximum likelihood functioninequality of Khintchinemultinomial families

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

The Maximum Probability 2 × cContingency Tables and the Maximum Probability Points of the Multivariate Hypergeometric Distribution ⋮ The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications ⋮ Characterization of maximum probability points in the multivariate hypergeometric distribution

Cites Work

• Analytic Inequalities
• Inequalities: theory of majorization and its applications
• Unnamed Item

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