Title : ( Characterizations based on Rényi entropy of order statistics and record values )
Authors: Simindokht Baratpour Bajgiran , Jafar Ahmadi , Nasser Reza Arghami ,
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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.
Keywords
Hazard rate function; Reversed hazard rate function; Minimal repair; Series (parallel) system; Laguerre polynomial; Minkowski inequality
@article{paperid:1009545,
author = {Baratpour Bajgiran, Simindokht and Ahmadi, Jafar and Arghami, Nasser Reza},
title = {Characterizations based on Rényi entropy of order statistics and record values},
journal = {Journal of Statistical Planning and Inference},
year = {2008},
volume = {138},
number = {8},
month = {April},
issn = {0378-3758},
pages = {2544--2551},
numpages = {7},
keywords = {Hazard rate function; Reversed hazard rate function; Minimal repair; Series (parallel) system; Laguerre polynomial; Minkowski
inequality},
}
%0 Journal Article
%T Characterizations based on Rényi entropy of order statistics and record values
%A Baratpour Bajgiran, Simindokht
%A Ahmadi, Jafar
%A Arghami, Nasser Reza
%J Journal of Statistical Planning and Inference
%@ 0378-3758
%D 2008
