Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
From MaRDI portal
Publication:385153
DOI10.1016/j.dam.2011.08.025zbMath1282.60016arXiv0912.0581OpenAlexW2217094038WikidataQ60522087 ScholiaQ60522087MaRDI QIDQ385153
Mokshay Madiman, Ioannis Kontoyiannis, Oliver Johnson
Publication date: 29 November 2013
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.0581
Related Items (19)
Top-heavy phenomena for transformations ⋮ Tight Revenue Gaps among Multiunit Mechanisms ⋮ Concentration inequalities for ultra log-concave distributions ⋮ Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures ⋮ Information in Probability: Another Information-Theoretic Proof of a Finite de Finetti Theorem ⋮ Negative dependence and stochastic orderings ⋮ Entropy-variance inequalities for discrete log-concave random variables via degree of freedom ⋮ Log-Hessian and deviation bounds for Markov semi-groups, and regularization effect in \(\mathbb{L}^1 \) ⋮ Entropy and the discrete central limit theorem ⋮ Geometric and functional inequalities for log-concave probability sequences ⋮ Bernoulli sums and Rényi entropy inequalities ⋮ Relative log-concavity and a pair of triangle inequalities ⋮ Log-concavity of compound distributions with applications in stochastic optimization ⋮ Log-concavity and strong log-concavity: a review ⋮ Efron's monotonicity property for measures on \(\mathbb{R}^2\) ⋮ Majorization and Rényi entropy inequalities via Sperner theory ⋮ Strong Log-concavity is Preserved by Convolution ⋮ The Discrete Moment Problem with Nonconvex Shape Constraints ⋮ Entropy Inequalities for Sums in Prime Cyclic Groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integral representations and asymptotic expansions for Shannon and Renyi entropies
- Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
- A strong log-concavity property for measures on Boolean algebras
- Compound Poisson approximation via information functionals
- Log-concavity and LC-positivity
- The roots of the independence polynomial of a clawfree graph
- Log-concavity and the maximum entropy property of the Poisson distribution
- Negatively correlated random variables and Mason's conjecture for independent sets in matroids
- A short proof, based on mixed volumes, of Liggett's theorem on the convolution of ultra-logconcave sequences
- Entropy and the central limit theorem
- The number of linear extensions of subset ordering
- On log-concave and log-convex infinitely divisible sequences and densities
- Discrete analogues of self-decomposability and stability
- Compound Poisson approximation for nonnegative random variables via Stein's method
- Correlation inequalities on some partially ordered sets
- Singularity analysis and asymptotics of Bernoulli sums
- Ultra logconcave sequences and negative dependence
- The number of linear extensions of the Boolean lattice
- On the numbers of independent \(k\)-sets in a claw free graph
- Log-concavity of characteristic polynomials and the Bergman fan of matroids
- Monotonicity and aging properties of random sums
- Towards a theory of negative dependence
- Entropy, independent sets and antichains: A new approach to Dedekind’s problem
- Entropy and set cardinality inequalities for partition-determined functions
- Negative correlation and log-concavity
- Negative dependence and the geometry of polynomials
- Unimodal, log-concave and Pólya frequency sequences in combinatorics
- Entropy and the Law of Small Numbers
- Monotonic Decrease of the Non-Gaussianness of the Sum of Independent Random Variables: A Simple Proof
- Generalized Entropy Power Inequalities and Monotonicity Properties of Information
- Uniform stochastic ordering and related inequalities
- On Dedekind's Problem: The Number of Isotone Boolean Functions. II
- On the maximum entropy of the sum of two dependent random variables
- Random Geometric Graphs
- Binomial and Poisson distributions as maximum entropy distributions
- Entropy computations via analytic depoissonization
- Solution of Shannon’s problem on the monotonicity of entropy
- On the Entropy of Compound Distributions on Nonnegative Integers
- The Entropy Per Coordinate of a Random Vector is Highly Constrained Under Convexity Conditions
- Thinning, Entropy, and the Law of Thin Numbers
- Preservation of log-concavity on summation
- Binomial-Poisson entropic inequalities and the M/M/∞queue
- Elements of Information Theory
- Families of Non-disjoint subsets
- Infinite Divisibility of Integer-Valued Random Variables
- Some Results for Discrete Unimodality
- An entropy proof of Bregman's theorem
This page was built for publication: Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
