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Journal of Korean Society for Quality Management 1982;10(1): 2-. |
| Estimation of Reliability of k-out-of-m Stress-Strength Model in the Independent Exponential Case |
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| ABSTRACT |
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Suppose a system with m components is subjected to a random stress. We consider the estimation of reliability when data consist of random samples from the stress distribution and the strength distributions. All the distributions are assumed to be independent exponential with unknown scale parameters. An explicit form of system reliability and the minimun variance unbiased estimator are obtained. The asymptotic distribution is also obtained by expanding the minimum variance unbiased estimator about the maximum likelihood estimator and establishing their equivalance. The performance of the two estimators is compared by Monte Carlo Simulation. |
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