A Distribution Dependent Refinement of Pinsker's Inequality

DOI10.1109/TIT.2005.846407zbMath1309.94055OpenAlexW2106332299MaRDI QIDQ3547466

Erik Ordentlich, Marcelo J. Weinberger

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2005.846407

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Large deviations (60F10) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (6)

Optimal upper bounds for the divergence of finite-dimensional distributions under a given variational distance ⋮ Fano's inequality for random variables ⋮ On coupling of probability distributions and estimating the divergence through variation ⋮ Relative entropy convergence for depolarizing channels ⋮ Comparison of contraction coefficients for \(f\)-divergences ⋮ A refinement of Hoeffding's inequality

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