Entropy inequalities for classes of probability distributions I. The univariate case

DOI10.2307/1426469zbMath0461.60030OpenAlexW2334634609MaRDI QIDQ3911141

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/10.2307/1426469

zbMATH Keywords

total positivityentropy functionalmajorization orderinglog concavityentropy of a random variableparameter which maximizes the entropy

Mathematics Subject Classification ID

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

Related Items (8)

On the inclusion probabilities in some unequal probability sampling plans without replacement ⋮ Permanents in probability and statistics ⋮ Some stochastic inequalities for weighted sums ⋮ Relative log-concavity and a pair of triangle inequalities ⋮ Entropy inequalities for some multivariate distributions ⋮ On an inequality of Karlin and Rinott concerning weighted sums of i.i.d. random variables ⋮ Smooth inequality measurement: approximation theorems ⋮ A proof of the Shepp-Olkin entropy monotonicity conjecture

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