On the mean remaining strength at the system level for some bivariate survival models based on exponential distribution

摘要

In this paper, we consider the mean remaining strength at the system level of two-component parallel and series systems in the case of possibly dependent components which are subject to a common stress. We assume that the strengths of the components have FGM, Freund’s, Marshall–Olkin and Block–Basu’s bivariate exponential models. A numerical study based on the generated data set is performed to obtain the maximum likelihood estimates of the mean remaining strength for two-component parallel system in the stress–strength setup.