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Reliability For A Bivariate Gamma Distribution
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Saralees Nadarajah
Published/Copyright:
March 15, 2010
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) follow 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.
Keywords:: Bivariate gamma distributions; reliability
Published Online: 2010-03-15
Published in Print: 2005-April
© Heldermann Verlag
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Articles in the same Issue
- Statistical Performance of Control Charts
- A Note on Optimum Chain Sampling (ChSP-1)
- A Modified Quantile Estimator Using Extreme-Value Theory with Applications
- Stochastics in the Manufacture and Operation of Fuel Assemblies for Nuclear Power Plants
- Improving the Maintenance System of Tippers A Case Study
- Two Examples of a Successful Multivariate Quantitative Analysis in Industry
- Robustness of Group Runs Control Chart to Non-normality
- Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis
- Reliability For A Bivariate Gamma Distribution
- Improving the Variability Function in Case of a Monotonic Probability Distribution
- A Bivariate Weibull Regression Model
