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Stochastic comparisons of two-unit repairable systems
Authors:Josué M. Corujo  José E. Valdés  Juan C. Laria
Affiliation:1. Facultad de Matemática y Computación, Universidad de La Habana, La Habana, Cuba;2. j.corujo@matcom.uh.cu;4. Departamento de Estadística, Universidad Carlos III de Madrid, Madrid, Espa?a
Abstract:Abstract

We consider two models of two-unit repairable systems: cold standby system and warm standby system. We suppose that the lifetimes and repair times of the units are all independent exponentially distributed random variables. Using stochastic orders we compare the lifetimes of systems under different assumptions on the parameters of exponential distributions. We also consider a cold standby system where the lifetimes and repair times of its units are not necessarily exponentially distributed.
Keywords:Stochastic orders  reliability  repairable systems  cold standby system  warm standby system
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