Characterizations based on Rényi entropy of order statistics and record values
نویسندگان
چکیده
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. © 2008 Elsevier B.V. All rights reserved. MSC: primary 62G30; secondary 62E10; 62B10; 94A17
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