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arXiv · 1403.7164

Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding

Igal Sason
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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 Csiszár. Another application of these bounds has been recently introduced by Yardi. et al. for channel-code detection.

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Igal Sason. 2015-03-11. Tight Bounds for Symmetric Divergence Measures and a Refined Bound for Lossless Source Coding. https://doi.org/10.1109/tit.2014.2387065

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