Stochastic comparisons of parallel and series systems of dependent components equipped with starting devices |
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| Authors: | Chen Li Xiaohu Li |
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| Affiliation: | 1. School of Sciences, Tianjin University of Commerce, Tianjin, China;2. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken NJ, USA |
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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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| Keywords: | Dispersive order Gumbel-Hougaard copula Hazard rate order Majorization Proportional hazard rates. |
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