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Reliability for Laplace distributions

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  • Saralees Nadarajah

Abstract

In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr ( X 2 < X 1 ) when X 1 and X 2 are independent random variables belonging to the same univariate family of distributions. The algebraic form for R = Pr ( X 2 < X 1 ) 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.

Suggested Citation

  • Saralees Nadarajah, 2004. "Reliability for Laplace distributions," Mathematical Problems in Engineering, Hindawi, vol. 2004, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:583680
    DOI: 10.1155/S1024123X0431104X
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    Cited by:

    1. Lucas O. F. Sales & André L. S. Pinho & Marcelo Bourguignon & F. Moisés C. Medeiros, 2022. "Control charts for monitoring the median in non-negative asymmetric data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(4), pages 1037-1068, October.
    2. Liu, Wei & Semeyutin, Artur & Lau, Chi Keung Marco & Gozgor, Giray, 2020. "Forecasting Value-at-Risk of Cryptocurrencies with RiskMetrics type models," Research in International Business and Finance, Elsevier, vol. 54(C).

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