Relative log-concavity and a pair of triangle inequalities
From MaRDI portal
Publication:453271
DOI10.3150/09-BEJ216zbMath1248.60028arXiv1010.2043MaRDI QIDQ453271
Publication date: 19 September 2012
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2043
relative entropymaximum entropyPoisson approximationminimum entropyHoeffding's inequalitybinomial approximationBernoulli sumnegative binomial approximation
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
