In the context of reliability the stress-strength model describes the life a component which has a random strength X and is subject to a stress Y. The component fails at the instant the stress applied to it exceeds the strength and the component will work satisfactory when ever X>Y. Thus R=P[Y<X] is a measure of system reliability. In the present paper we derive the Bayes estimate of R when stress Y is censored at strength X for the Marshall-Olkin bivariate exponential distribution and the bivariate Pareto distribution due to Muliere and Scarsini (1987).
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