Title : ( Applications of Stochastic Orders in Reliability and Mixture of Exponential family )
Authors: jalil jarrahi feriz , Gholam Reza Mohtashami Borzadaran , Abdolhamid Rezaei Roknabadi ,
Abstract
In this paper, we have recalled some of the known stochastic orders and the shifted version of them, so discussed their relations. Also, we obtained some applications of proportional hazard rate ordering in reliability. Then we investigated stochastic comparisons between exponential family distributions and their mixtures with respect to the usual stochastic order, the hazard rate order, the reversed hazard rate order and the likelihood ratio order.
Keywords
, Up (Down) proportional likelihood ratio order, Up (Down) proportional hazard rate order, Up proportional reversed hazard rate order, Exponential family, Log concave.@inproceedings{paperid:1039588,
author = {Jarrahi Feriz, Jalil and Mohtashami Borzadaran, Gholam Reza and Rezaei Roknabadi, Abdolhamid},
title = {Applications of Stochastic Orders in Reliability and Mixture of Exponential family},
booktitle = {نهمین سمینار احتمال و فرآیندهای تصادفی},
year = {2013},
location = {زاهدان, IRAN},
keywords = {Up (Down) proportional likelihood ratio order; Up (Down) proportional
hazard rate order; Up proportional reversed hazard rate order; Exponential
family; Log concave.},
}
%0 Conference Proceedings
%T Applications of Stochastic Orders in Reliability and Mixture of Exponential family
%A Jarrahi Feriz, Jalil
%A Mohtashami Borzadaran, Gholam Reza
%A Rezaei Roknabadi, Abdolhamid
%J نهمین سمینار احتمال و فرآیندهای تصادفی
%D 2013