Semi-parametric estimation of Px,y({(x,y)/x >y}) for the power function distribution

The stress-strength model describes the life of a component which has a random strength X and is subjected to random stress Y, in the context of reliability. The component will function satisfactorily whenever X>Y and it fails at the instant the stress applied to it exceeds the strength. R=P(Y<X) is a measure of component reliability. In this paper, we obtain semi parametric estimators of the reliability under stress- strength model for the Power function distribution under complete and censored samples. We illustrate the performance of the estimators using a simulation study.