Title : ( Characterizations Based on Cumulative Residual Entropy of First- Order Statistics )
Authors: Simindokht Baratpour Bajgiran ,
Full TextAbstract
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.
@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.},
}
%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
