da Fontoura Costa, Luciano. 2008. "Entropy Moments Characterization of Statistical Distributions." (Working Paper)

Abstract

"This letter reports two moment extensions of the entropy of a distribution. By understanding the traditional entropy as the average of the original distribution up to a random variable transformation, the traditional moments equation become immediately applicable to entropy. We also suggest an alternative family of entropy moments. The discriminative potential of such entropy moment extensions is illustrated with respect to different types of distributions with otherwise indistinguishable traditional entropies."