Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices

Chen Li; Xiaohu Li

doi:10.1080/03610926.2018.1435806

Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices

Chen Li
, Xiaohu Li

Department of Mathematical Sciences

Tianjin University of Commerce

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This paper deals with series and parallel systems of dependent components equipped with starters. We study the hazard rate order, the dispersive order and the usual stochastic order of system lifetimes in the context of component lifetimes having proportional hazard rates. The main results either generalize or extend corresponding conclusions of Joo and Mi (2010) and Da, Ding, and Li (2010).

Original language	English
Pages (from-to)	694-708
Number of pages	15
Journal	Communications in Statistics - Theory and Methods
Volume	48
Issue number	3
DOIs	https://doi.org/10.1080/03610926.2018.1435806
State	Published - 1 Feb 2019

Keywords

Dispersive order
Gumbel-Hougaard copula
Hazard rate order
Majorization
Proportional hazard rates

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10.1080/03610926.2018.1435806

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abstract = "This paper deals with series and parallel systems of dependent components equipped with starters. We study the hazard rate order, the dispersive order and the usual stochastic order of system lifetimes in the context of component lifetimes having proportional hazard rates. The main results either generalize or extend corresponding conclusions of Joo and Mi (2010) and Da, Ding, and Li (2010).",

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AB - This paper deals with series and parallel systems of dependent components equipped with starters. We study the hazard rate order, the dispersive order and the usual stochastic order of system lifetimes in the context of component lifetimes having proportional hazard rates. The main results either generalize or extend corresponding conclusions of Joo and Mi (2010) and Da, Ding, and Li (2010).

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KW - Gumbel-Hougaard copula

KW - Hazard rate order

KW - Majorization

KW - Proportional hazard rates

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JO - Communications in Statistics - Theory and Methods

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Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices

Abstract

Keywords

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