paper

On a Gel'fand-Yaglom-Peres theorem for f-divergences

arXiv:0911.1934

Abstract

It is shown that the -divergence between two probability measures and equals the supremum of the same -divergence computed over all finite measurable partitions of the original space, thus generalizing results previously proved by Gel'fand and Yaglom and by Peres for the Information Divergence and more recently by Dukkipati, Bhatnagar and Murty for the Tsallis' and Renyi's divergences.

1+4 pages, no figures

On a Gel'fand-Yaglom-Peres theorem for f-divergences · wovepaper