Reliability for some bivariate exponential distributions

Saralees Nadarajah and Samuel Kotz

Mathematical Problems in Engineering, 2006, vol. 2006, 1-14

Abstract:

In the area of stress-strength models, there has been a large amount of work as regards estimation of thereliability R = Pr ⁡ ( X < Y ) . The algebraic form for R = Pr ⁡ ( X < Y ) has been worked out for the vast majority of the well-known distributions when X and Y are independent random variables belonging to the same univariate family. In this paper, forms of R are considered when ( X , Y ) follow bivariate distributions with dependence between X and Y . In particular, explicit expressions for R are derived when the joint distribution isbivariate exponential. The calculations involve the use of special functions. An application of the results is also provided.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:041652

DOI: 10.1155/MPE/2006/41652

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