Statistics and Probability Letters, ( ISI ), Volume (80), No (23), Year (2010-12) , Pages (1962-1971)

Title : ( On The Dynamic Survival Entropy )

Authors: Maliheh Abbasnezhad Mashhadi , Nasser Reza Arghami , Stephen Morgenthaler , Gholam Reza Mohtashami Borzadaran ,

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Abstract

Recently Zografos and Nadarajah (2005) have proposed two new broad classes of measures of uncertainty based on the survival function, called the survival exponential entropy and the generalized survival exponential entropy. The survival exponential entropy preserves many of the properties of Renyi entropy. In this paper, we study some properties of the survival entropy. A dynamic form of the survival entropy of order α is proposed. Furthermore, some characterizations of the exponential distribution and the generalized Pareto distribution in terms of dynamic survival entropy are given. Some results on the survival entropy ordering are provided. A result is provided which relates the dynamic survival entropy and hazard rate orderings. Also, some classes of distributions in which some well-known distributions have the maximum dynamic survival entropy, are identified.

Keywords

Survival entropy Hazard function Residual lifetime distribution Ordering Reliability
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@article{paperid:1018026,
author = {Abbasnezhad Mashhadi, Maliheh and Arghami, Nasser Reza and Stephen Morgenthaler and Mohtashami Borzadaran, Gholam Reza},
title = {On The Dynamic Survival Entropy},
journal = {Statistics and Probability Letters},
year = {2010},
volume = {80},
number = {23},
month = {December},
issn = {0167-7152},
pages = {1962--1971},
numpages = {9},
keywords = {Survival entropy Hazard function Residual lifetime distribution Ordering Reliability},
}

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%0 Journal Article
%T On The Dynamic Survival Entropy
%A Abbasnezhad Mashhadi, Maliheh
%A Arghami, Nasser Reza
%A Stephen Morgenthaler
%A Mohtashami Borzadaran, Gholam Reza
%J Statistics and Probability Letters
%@ 0167-7152
%D 2010

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