Stochastic comparisons of two-unit repairable systems

Josué M. Corujo, José E. Valdés and Juan C. Laria

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 23, 5820-5838

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.

Date: 2019
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DOI: 10.1080/03610926.2018.1522349

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