Monotonicity, Thinning, and Discrete Versions of the Entropy Power Inequality

DOI10.1109/TIT.2010.2070570zbMath1366.94194arXiv0909.0641WikidataQ60522089 ScholiaQ60522089MaRDI QIDQ5281202

Yaming Yu, Oliver Johnson

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0641

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Coding theorems (Shannon theory) (94A24)

Related Items (8)

Concentration functions and entropy bounds for discrete log-concave distributions ⋮ Gaussian optimizers for entropic inequalities in quantum information ⋮ A discrete complement of Lyapunov's inequality and its information theoretic consequences ⋮ Bernoulli sums and Rényi entropy inequalities ⋮ The one-mode quantum-limited Gaussian attenuator and amplifier have Gaussian maximizers ⋮ Entropy power inequalities for qudits ⋮ Majorization and Rényi entropy inequalities via Sperner theory ⋮ Entropy Inequalities for Sums in Prime Cyclic Groups

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