On the Entropy Power Inequality for the Rényi Entropy of Order [0, 1]

DOI10.1109/TIT.2018.2877741zbMath1431.94043arXiv1710.00800OpenAlexW2964344515MaRDI QIDQ4629904

Arnaud Marsiglietti, James Melbourne

Publication date: 28 March 2019

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

Full work available at URL: https://arxiv.org/abs/1710.00800

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17)

Related Items (7)

Concentration functions and entropy bounds for discrete log-concave distributions ⋮ Quantitative form of Ball’s cube slicing in ℝⁿ and equality cases in the min-entropy power inequality ⋮ A discrete complement of Lyapunov's inequality and its information theoretic consequences ⋮ Entropies of sums of independent gamma random variables ⋮ Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities ⋮ Bernoulli sums and Rényi entropy inequalities ⋮ Differential entropy of induced random state ensemble

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