Reliability for some bivariate gamma distributions

Saralees Nadarajah

Mathematical Problems in Engineering, 2005, vol. 2005, 1-13

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 < 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, we consider forms of R when ( X , Y ) follows a bivariate distribution with dependence between X and Y . In particular, we derive explicit expressions for R when the joint distribution is bivariate gamma. The calculations involve the use of special functions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:924843

DOI: 10.1155/MPE.2005.151

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