Advances in Mathematical Modelling and its Application.11-27
Publication year: 2016

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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