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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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 |
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doaj-bc34c7d555c54609933c00b883716ec32020-11-24T23:24:37ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472005-01-012005110111110.1155/MPE.2005.101Reliability for some bivariate beta distributionsSaralees Nadarajah0Department of Statistics, University of Nebraska, Lincoln 68583, NE, USAIn 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.http://dx.doi.org/10.1155/MPE.2005.101 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Saralees Nadarajah |
| spellingShingle |
Saralees Nadarajah Reliability for some bivariate beta distributions Mathematical Problems in Engineering |
| author_facet |
Saralees Nadarajah |
| author_sort |
Saralees Nadarajah |
| title |
Reliability for some bivariate beta distributions |
| title_short |
Reliability for some bivariate beta distributions |
| title_full |
Reliability for some bivariate beta distributions |
| title_fullStr |
Reliability for some bivariate beta distributions |
| title_full_unstemmed |
Reliability for some bivariate beta distributions |
| title_sort |
reliability for some bivariate beta distributions |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2005-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/MPE.2005.101 |
| work_keys_str_mv |
AT saraleesnadarajah reliabilityforsomebivariatebetadistributions |
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