Rényi divergence and the central limit theorem

DOI10.1214/18-AOP1261zbMath1466.60065arXiv1608.01805MaRDI QIDQ1731889

Friedrich Götze, Gennadiy P. Chistyakov, Sergey G. Bobkov

Publication date: 14 March 2019

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01805

zbMATH Keywords

central limit theorem\(\chi^{2}\)-divergenceRényi and Tsallis entropies

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Strong limit theorems (60F15) Statistical aspects of information-theoretic topics (62B10)

Related Items (8)

Prohorov-type local limit theorems on abstract Wiener spaces ⋮ On the equivalence of statistical distances for isotropic convex measures ⋮ Richter's local limit theorem, its refinement, and related results ⋮ Decay of convolved densities via Laplace transform ⋮ Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities ⋮ Two Remarks on Generalized Entropy Power Inequalities ⋮ Nonuniform bounds in the Poisson approximation with applications to informational distances. II ⋮ Common Information, Noise Stability, and Their Extensions

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