Optimal upper bounds for the divergence of finite-dimensional distributions under a given variational distance

DOI10.1134/S0032946019030025zbMath1442.62024OpenAlexW2980652030WikidataQ127030158 ScholiaQ127030158MaRDI QIDQ2190900

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/s0032946019030025

zbMATH Keywords

discrete probability distributionsvariational distanceinformational divergence

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Probability distributions: general theory (60E05) Statistical aspects of information-theoretic topics (62B10)

Related Items (1)

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

Cites Work

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• A Distribution Dependent Refinement of Pinsker's Inequality
• Refinements of Pinsker's inequality
• Note on discrimination information and variation (Corresp.)

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