The \(f\)-divergence and coupling of probability distributions

DOI10.1134/S0032946021010038zbMath1465.62037OpenAlexW3150673090MaRDI QIDQ2021837

V. V. Prelov

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1134/s0032946021010038

zbMATH Keywords

Kullback-Leibler divergence\(f\)-divergence\( \chi^2\) divergencecoupling of discrete probability distributions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (1)

On the maximum \(f\)-divergence of probability distributions given the value of their coupling

Cites Work

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• Comparison of contraction coefficients for \(f\)-divergences
• On the minimum \(f\)-divergence for given total variation
• On coupling of probability distributions and estimating the divergence through variation
• On the maximum values of \(f\)-divergence and Rényi divergence under a given variational distance
• On some optimization problems for the Rényi divergence
• $f$ -Divergence Inequalities
• On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences

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