Stochastic comparisons of two-unit repairable systems


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.

Josué Corujo Rodríguez
Josué Corujo Rodríguez
Maître de Conférences

My research interests is focussed in probability theory, specifically stochastic processes and their applications.