Abstract

A class of statistical distance measures and their spectral counterparts are presented. They have strong physical foundations since they are based on the combinatorial law leading to Bose-Einstein statistics in statistical physics. It is shown that these distance measures are very closely related to the recently introduced Jensen-Shannon divergence measure. The Kullback-Leibler information (1951) number is found to be a limit case of this class.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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