Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2004 / Article

Open Access

Volume 2004 |Article ID 583680 | https://doi.org/10.1155/S1024123X0431104X

Saralees Nadarajah, "Reliability for Laplace distributions", Mathematical Problems in Engineering, vol. 2004, Article ID 583680, 15 pages, 2004. https://doi.org/10.1155/S1024123X0431104X

Reliability for Laplace distributions

Received30 Oct 2003

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.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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