Journal of Statistical Planning and Inference, ( ISI ), Volume (138), No (8), Year (2008-4) , Pages (2544-2551)
Title : ( Characterizations based on Rényi entropy of order statistics and record values )
Authors: Simindokht Baratpour Bajgiran , Jafar Ahmadi , Nasser Reza Arghami ,Access to full-text not allowed by authors
Abstract
Two different distributions may have equal Rényi entropy; thus a distribution cannot be identified by its Rényi entropy. In this paper, we explore properties of the Rényi entropy of order statistics. Several characterizations are established based on the Rényi entropy of order statistics and record values. These include characterizations of a distribution on the basis of the differences between Rényi entropies of sequences of order statistics and the parent distribution.