On the minimum \(f\)-divergence for given total variation

DOI10.1016/j.crma.2006.10.027zbMath1250.62005OpenAlexW2058798744MaRDI QIDQ858933

Gustavo L. Gilardoni

Publication date: 11 January 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.10.027

Mathematics Subject Classification ID

Statistical aspects of information-theoretic topics (62B10)

Related Items (4)

Beyond thermodynamic uncertainty relations: nonlinear response, error-dissipation trade-offs, and speed limits ⋮ On the maximum values of \(f\)-divergence and Rényi divergence under a given variational distance ⋮ The minimum increment of f-divergences given total variation distances ⋮ The \(f\)-divergence and coupling of probability distributions

Cites Work

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• Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
• On the Lambert \(w\) function
• Refinements of Pinsker's inequality
• Note on discrimination information and variation (Corresp.)

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