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Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding (1403.7164v7)

Published 27 Mar 2014 in cs.IT, math.IT, and math.PR

Abstract: Tight bounds for several symmetric divergence measures are derived in terms of the total variation distance. It is shown that each of these bounds is attained by a pair of 2 or 3-element probability distributions. An application of these bounds for lossless source coding is provided, refining and improving a certain bound by Csisz\'{a}r. Another application of these bounds has been recently introduced by Yardi. et al. for channel-code detection.

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