Relative log-concavity and a pair of triangle inequalities

DOI10.3150/09-BEJ216zbMath1248.60028arXiv1010.2043MaRDI QIDQ453271

Yaming Yu

Publication date: 19 September 2012

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2043

zbMATH Keywords

relative entropymaximum entropyPoisson approximationminimum entropyHoeffding's inequalitybinomial approximationBernoulli sumnegative binomial approximation

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (7)

PRESERVATION OF LOG-CONCAVITY UNDER CONVOLUTION ⋮ PRESERVATION OF LOG-CONCAVITY AND LOG-CONVEXITY UNDER OPERATORS ⋮ On relative log-concavity and stochastic comparisons ⋮ An adjusted cumulative Kullback-Leibler information with application to test of exponentiality ⋮ On the inclusion probabilities in some unequal probability sampling plans without replacement ⋮ Some stochastic inequalities for weighted sums ⋮ A novel single-gamma approximation to the sum of independent gamma variables, and a generalization to infinitely divisible distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
• Binomial approximation to the Poisson binomial distribution
• Log-concavity and the maximum entropy property of the Poisson distribution
• Poisson approximation for dependent trials
• Ultra logconcave sequences and negative dependence
• Approximating the number of successes in independent trials: binomial versus Poisson
• Generalized convex inequalities
• An approximation theorem for the Poisson binomial distribution
• Towards a theory of negative dependence
• On the Distribution of the Number of Successes in Independent Trials
• On an inequality of Karlin and Rinott concerning weighted sums of i.i.d. random variables
• On the Maximum Entropy Properties of the Binomial Distribution
• Stochastic Ordering of Exponential Family Distributions and Their Mixturesxk
• Uniform conditional variability ordering of probability distributions
• Entropy inequalities for classes of probability distributions I. The univariate case
• Binomial and Poisson distributions as maximum entropy distributions
• On the Entropy of Compound Distributions on Nonnegative Integers
• Computing the distribution of quadratic forms in normal variables
• On The Product of Two Power Series
• On Information and Sufficiency
• Information Theory and Statistics: A Tutorial

This page was built for publication: Relative log-concavity and a pair of triangle inequalities