Reliability for some bivariate beta distributions
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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/MPE.2005.101 |
| Summary: | 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 beta. The calculations
involve the use of special functions. |
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| ISSN: | 1024-123X 1563-5147 |