Some Properties And Applications Of Shifted Proportional Stochastic Orders

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Türkiye İstatistik Derneği Dergisi
Volume:6 Issue:2
Some Properties And Applications Of Shifted Proportional Stochastic Orders

Some Properties And Applications Of Shifted Proportional Stochastic Orders

Authors : Jalil JARRAHİFERİZ, Gholam Reza MOHTASHAMİ BORZADARAN, Abdolhamid Rezaei ROKNABADİ

Pages : 80-91

View : 127 | Download : 12

Publication Date : 2013-07-01

Article Type : Research Paper

Abstract :The purpose of this paper is to study shifted versions of the proportional likelihood ratio order, proportional insert ignore into journalissuearticles values(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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