Communications in Statistics - Theory and Methods, ( ISI ), Volume (47), No (14), Year (2018-5) , Pages (3464-3476)

Title : ( Some Properties of Lin Wong Divergence on the Past Lifetime Data )

Authors: MOHADESEH KHALILI , Arezou Habibirad , فاطمه یوسف زاده ,

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Abstract

Measures of statistical divergence are used to assess mutual similarities between distributions of multiple variables through a variety of methodologies including Shannon entropy and Csiszar divergence. Modified measures of statistical divergence are introduced throughout the present paper. Those modified measures are related to the Lin Wong divergence applied on the past lifetime data. Accordingly, the relationship between Fisher information and the Lin Wong divergence measure was explored when applied on the past lifetime data. Throughout this study, a number of relations are proposed between various assessment methods which implement the Jensen Shannon, Jeffreys and Hellinger divergence measures. Also, relations between the Lin Wong measure and the Kullback Leibler measures for past lifetime data were examined. Furthermore, the present study discusses the relationship between the proposed ordering scheme and the distance interval between Lin Wong and Kullback Leibler measures under certain conditions.

Keywords

, Fisher information, Jensen Shannon divergence, Kullback Leibler divergence, Likelihood ratio ordering, Lin Wong divergence, Past lifetime data
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@article{paperid:1064397,
author = {KHALILI, MOHADESEH and Habibirad, Arezou and فاطمه یوسف زاده},
title = {Some Properties of Lin Wong Divergence on the Past Lifetime Data},
journal = {Communications in Statistics - Theory and Methods},
year = {2018},
volume = {47},
number = {14},
month = {May},
issn = {0361-0926},
pages = {3464--3476},
numpages = {12},
keywords = {Fisher information; Jensen Shannon divergence; Kullback Leibler divergence; Likelihood ratio ordering; Lin Wong divergence; Past lifetime data},
}

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%0 Journal Article
%T Some Properties of Lin Wong Divergence on the Past Lifetime Data
%A KHALILI, MOHADESEH
%A Habibirad, Arezou
%A فاطمه یوسف زاده
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2018

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