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A converse inequality for the Csiszár \(\Phi\)-divergence. (English) Zbl 1066.94007

Summary: A converse inequality for the Csiszár \(\Phi\)-divergence and applications for some particular distance functions, such as the Kullback-Leibler distance, Renyi distance, \(\chi^2\)-distance, Bhattacharyya distance, and \(J\)-distance are given.

MSC:

94A17 Measures of information, entropy
26D15 Inequalities for sums, series and integrals