Communications in Statistics - Theory and Methods, ( ISI ), Volume (36), Year (2007-2) , Pages (47-57)

Title : Some characterizations based on entropy of order statistics and record values ( Some Characterizations based on entropy of order statistics and record values )

Authors: Simindokht Baratpour Bajgiran , Jafar Ahmadi , Nasser Reza Arghami ,

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Abstract

In the literature of information theory, Shannon entropy plays an important role and in the context of reliability theory, order statistics and record values are used for statistical modeling. The aim of this article is characterizing the parent distributions based on Shannon entropy of order statistics and record values. It is shown that the equality of the Shannon information in order statistics or record values can determine uniquely the parent distribution. The exponential distribution is characterized through maximizing Shannon entropy of record values under some constraints. The results are useful in the modeling problems.

Keywords

Hazard rate function; Laguerre polynomial; Minimal repair; Minkowski inequality; Orthonormal system; Reversed hazard rate function; Series (parallel) system
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@article{paperid:434,
author = {Baratpour Bajgiran, Simindokht and Ahmadi, Jafar and Arghami, Nasser Reza},
title = {Some characterizations based on entropy of order statistics and record values},
journal = {Communications in Statistics - Theory and Methods},
year = {2007},
volume = {36},
month = {February},
issn = {0361-0926},
pages = {47--57},
numpages = {10},
keywords = {Hazard rate function; Laguerre polynomial; Minimal repair; Minkowski inequality; Orthonormal system; Reversed hazard rate function; Series (parallel) system},
}

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%0 Journal Article
%T Some characterizations based on entropy of order statistics and record values
%A Baratpour Bajgiran, Simindokht
%A Ahmadi, Jafar
%A Arghami, Nasser Reza
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2007

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