Title : ( Renyi entropy properties of order statistics )
Authors: Maliheh Abbasnezhad Mashhadi , Nasser Reza Arghami ,
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Abstract
In this paper, we discuss Some properties of Renyi entropy and Renyi information of order statistics. Some bounds for Renyi entropy of order statistics are obtained. Also, we relate Renyi entropy ordering of order statistics to Renyi entropy ordering and other well known orderings of parent random variables. Then it is proved that the Renyi information between order statistics and parent random variable is distribution free, and it is shown, as expected, the distance is minimum for the median.
Keywords
Ordering; Hazard function; Probability integral transformation; Renyi entropy bounds; Renyi information
@article{paperid:1014535,
author = {Abbasnezhad Mashhadi, Maliheh and Arghami, Nasser Reza},
title = {Renyi entropy properties of order statistics},
journal = {Communications in Statistics - Theory and Methods},
year = {2011},
volume = {40},
number = {1},
month = {January},
issn = {0361-0926},
pages = {40--52},
numpages = {12},
keywords = {Ordering; Hazard function; Probability integral transformation; Renyi entropy bounds; Renyi information},
}
%0 Journal Article
%T Renyi entropy properties of order statistics
%A Abbasnezhad Mashhadi, Maliheh
%A Arghami, Nasser Reza
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2011
