Estimation of reliability when stress is censored at strength

In this paper, we propose an estimator based on maximum likelihood estimates(MLEs) for reliability when stress is censored at strength. We assume that X is a random strength of a component subjected to a random stress (Y) and reliability of a component is given by R = P[Y < X], where (X,Y) follows the bivariate exponential (BVE) model of Marshall-Olkin(1967). We obtain the asymptotic normal(AN) distribution of the proposed estimator.