Characterizations based on Renyi entropy of order statistics and record values

摘要

Two different distributions may have equal Renyi entropy; thus a distribution cannot be identified by its Renyi entropy. In this paper, we explore properties of the Renyi entropy of order statistics. Several characterizations are established based on the Renyi entropy of order statistics and record values. These include characterizations of a distribution on the basis of the differences between Renyi entropies of sequences of order statistics and the parent distribution.