A discrete complement of Lyapunov's inequality and its information theoretic consequences
From MaRDI portal
Publication:6138901
DOI10.1214/22-aap1919zbMath1530.94010arXiv2111.06997OpenAlexW3211646892MaRDI QIDQ6138901
James Melbourne, Gerardo Palafox-Castillo
Publication date: 16 January 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06997
Measures of information, entropy (94A17) Information theory (general) (94A15) Statistical aspects of information-theoretic topics (62B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
- Displacement convexity of entropy and related inequalities on graphs
- A remark on the Alexandrov-Fenchel inequality
- Concentration of the information in data with log-concave distributions
- On concentration functions of random variables
- Probabilistic bounds on the coefficients of polynomials with only real zeros
- Hodge theory for combinatorial geometries
- Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality
- Discrete variants of Brunn-Minkowski type inequalities
- Transport-majorization to analytic and geometric inequalities
- Sharp Khinchin-type inequalities for symmetric discrete uniform random variables
- Rearrangement and Prékopa-Leindler type inequalities
- Majorization and Rényi entropy inequalities via Sperner theory
- One more proof of the Alexandrov-Fenchel inequality
- Forward and reverse entropy power inequalities in convex geometry
- Complements of Lyapunov's inequality
- The Poisson binomial distribution -- old \& new
- A Brunn-Minkowski inequality for the integer lattice
- A reverse entropy power inequality for log-concave random vectors
- On the Problem of Reversibility of the Entropy Power Inequality
- Optimal Concentration of Information Content for Log-Concave Densities
- On Rényi Entropy Power Inequalities
- Entropy Power Inequality for the Rényi Entropy
- Convex Bodies Associated with a Given Convex Body
- On an inequality of Karlin and Rinott concerning weighted sums of i.i.d. random variables
- Information theoretic inequalities
- On the maximum entropy of the sum of two dependent random variables
- Variants of the Entropy Power Inequality
- Entropy Bounds on Abelian Groups and the Ruzsa Divergence
- On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]
- Rényi entropy power inequality and a reverse
- A Curved Brunn--Minkowski Inequality on the Discrete Hypercube, Or: What Is the Ricci Curvature of the Discrete Hypercube?
- Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities
- COMBINATORIAL APPLICATIONS OF THE HODGE–RIEMANN RELATIONS
- Reversal of Rényi Entropy Inequalities Under Log-Concavity
- Transport proofs of some discrete variants of the Prékopa-Leindler inequality
- Mixed volumes and the Bochner method
- Monotonicity, Thinning, and Discrete Versions of the Entropy Power Inequality
- SOME INTEGRAL INEQUALITIES
- On the Distribution of the Number of Successes in Independent Trials
- Poisson processes and a log-concave Bernstein theorem
- Concentration functions and entropy bounds for discrete log-concave distributions
- Inequalities: theory of majorization and its applications
- Log-concave poset inequalities (extended abstract)
This page was built for publication: A discrete complement of Lyapunov's inequality and its information theoretic consequences