On the maximum values of \(f\)-divergence and Rényi divergence under a given variational distance

DOI10.1134/S0032946020010019zbMath1443.60015OpenAlexW3016623702MaRDI QIDQ2190977

V. V. Prelov

Publication date: 23 June 2020

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946020010019

zbMATH Keywords

discrete probability distributionsRényi divergence\(f\)-divergencevariation distance

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (2)

Remarks on reverse Pinsker inequalities ⋮ The \(f\)-divergence and coupling of probability distributions

Cites Work

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• On the minimum \(f\)-divergence for given total variation
• On measures of information and their characterizations
• Optimal upper bounds for the divergence of finite-dimensional distributions under a given variational distance
• $f$ -Divergence Inequalities
• Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding
• Rényi Divergence and Kullback-Leibler Divergence
• On Divergences and Informations in Statistics and Information Theory
• On functionals satisfying a data-processing theorem
• On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
• Sharp Inequalities for $f$-Divergences

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