Communications in Statistics - Theory and Methods, ( ISI ), Volume (39), No (20), Year (2010-12) , Pages (3645-3651)

Title : ( Characterizations Based on Cumulative Residual Entropy of First- Order Statistics )

Authors: Simindokht Baratpour Bajgiran ,

Citation: BibTeX | EndNote

Abstract

Two different distributions may have equal cumulative residual entropy (CRE), thus a distribution cannot be determined by its CRE. In this article, we explore properties of the CRE and study conditions under which the CRE of the first-order statistics can uniquely determines the parent distribution. Weibull family is characterized through ratio of the CRE of the first-order statistics to its expectation. We have also some bounds for the CRE of residual lifetime of a series system.

Keywords

Cumulative residual entropy; Order statistics; Residual lifetime distribution; Shannon information; Series system; Weibull family.
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@article{paperid:1017262,
author = {Baratpour Bajgiran, Simindokht},
title = {Characterizations Based on Cumulative Residual Entropy of First- Order Statistics},
journal = {Communications in Statistics - Theory and Methods},
year = {2010},
volume = {39},
number = {20},
month = {December},
issn = {0361-0926},
pages = {3645--3651},
numpages = {6},
keywords = {Cumulative residual entropy; Order statistics; Residual lifetime distribution; Shannon information; Series system; Weibull family.},
}

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%0 Journal Article
%T Characterizations Based on Cumulative Residual Entropy of First- Order Statistics
%A Baratpour Bajgiran, Simindokht
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2010

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