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Some inequalities relating different measures of divergence between two probability distributions

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1 Author(s)
Withers, L., Jr. ; Naval Res. Lab., Washington, DC, USA

This note presents new inequalities relating different divergence measures in the family of “convex likelihood-ratio expectation” measures of Csiszar (1967), Ali and Silvey (1966), and especially in the single-parameter family of “AM-GM” divergence measures. The most prominent result is that θ2 ⩽¼J, where θ is the Bhattacharyya angle of divergence (a true distance metric), and J is the symmetric cross-entropy. A pair of “log Γ” divergences is also introduced and related to the cross-entropies I and J

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 5 )

Date of Publication:

Jul 1999

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