Some Properties And Applications Of Shifted Proportional Stochastic Orders

Year 2013, Volume: 6 Issue: 2, 80 - 91, 01.07.2013

Jalil Jarrahiferiz Gholam Reza Mohtashami Borzadaran , Abdolhamid Rezaei Roknabadi

Abstract

The purpose of this paper is to study shifted versions of the proportional likelihood ratio
order, proportional (reversed) hazard rate order and some related aging classes. We give some properties and
relationships to other stochastic comparisons which are known in the literature and we study some applications
in the reliability theory. Furthermore, conditions for preservation of this orderings under weighted
distributions are given.

Keywords

Up (Down) proportional likelihood ratio order, Up (Down) proportional hazard rate order, Preservation, Shock models, Coherent system

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