A Reliability Growth Model Involving Dependent Components.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Earlier papers have shown how to convert competing risk models involving dependent random variables into models involving only independent random variables, while simultaneously preserving the distribution of the minimum and the probabilities of the various failure patterns. The present paper considers a sequence of such conversions occurring at successive points in chronological time in which the independent random variables are becoming stochastically larger. The results obtained demonstrate that the limiting distributions in the sequence of dependent models correctly correspond to the limiting distributions in the sequence of independent models. These results have applications in reliability growth models and in biomedical competing risk models in which the competing risks are increasing with age in these models dependency is permitted among the random variables.
- Numerical Mathematics
- Manufacturing and Industrial Engineering and Control of Production Systems