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a b s t r a c tIn this paper, we consider the mean remaining strength at the system level of twocomponent 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.