Journal of the Korean Data and Information Science Society
- Volume 15 Issue 3
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- Pages.655-662
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- 2004
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- 1598-9402(pISSN)
System Reliability from Common Random Stress in a Type II Bivariate Pareto Model with Bivariate Type I Censored Data
- Cho, Jang-Sik (Department of Statistical Information Science, Kyungsung University) ;
- Choi, Seung-Bae (Department of Information Statistics, Dongeui University)
- Published : 2004.08.31
Abstract
In this paper, we assume that strengths of two components system follow a type II bivariate Pareto model with bivariate type I censored data. And these two components are subjected to a common stress which is independent of the strengths of the components. We obtain estimators for the system reliability based on likelihood function and relative frequency, respectively. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.
Keywords
- Bivariate type I censored data;
- Common random stress;
- Maximum likelihood estimator;
- Type II bivariate Pareto distribution