The minimum increment of f-divergences given total variation distances

DOI10.3103/S1066530716040049zbMath1360.94154MaRDI QIDQ523727

Alexander A. Gushchin

Publication date: 21 April 2017

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

power functiontotal variation distancecomparison of experimentsf-divergence

Mathematics Subject Classification ID

Theory of statistical experiments (62B15) Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Cites Work

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• On the minimum \(f\)-divergence for given total variation
• Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
• On the information contained in additional observations
• On the f-divergence and singularity of probability measures
• On an Extension of the Notion off-Divergence
• On Divergences and Informations in Statistics and Information Theory
• Divergenzen von Wahrscheinlichkeitsverteilungen — Integralgeometrisch Betrachtet
• On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
• Sufficiency and Approximate Sufficiency
• Sharp Inequalities for $f$-Divergences
• Testing Statistical Hypotheses

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