International Journal of Reliability and Applications
- Volume 6 Issue 2
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- Pages.65-78
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- 2005
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
Estimators for Parameters Included in Cold Standby Systems with Imperfect Switches
- Al-Ruzaiza A. S. (Department of Statistics & O.R., College of Science King Saud University) ;
- Sarhan Ammar M. (Department of Statistics & O.R., College of Science King Saud University)
- Published : 2005.12.01
Abstract
In this paper we derive estimations of the parameters included in the distribution of the lifetime of k-out-of-m cold standby system with imperfect switches. Maximum likelihood and Bayes procedures are followed to get such estimations. Numerical studies, using Monte Carlo simulation method, are given in order to explain how we can utilize the theoretical results derived, and to compare the performance of the two different methods used. The criterion of comparisons is the mean squared errors associated with each estimate.
Keywords
- k-out-of-m standby system;
- imperfect switches;
- reliability function;
- maximum likelihood procedure;
- Bayes procedure