Abstract

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R=Pr(X2<X1) when X1 and X2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R=Pr(X2<X1) has been worked out for the majority of the well-known distributions in the standard forms. However, there are still many other distributions (including generalizations of the well-known distributions) for which the form of R has not been derived. In this paper, we consider several Laplace distributions and derive the corresponding forms for the reliability R. The calculations involve the use of special functions.