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Journal of Korean Society for Quality Management 1981;9(1): 3-. |
| ESTIMATION OF RELIABILITY IN A MULTICOMPONENT STRESS-STRENGTH MODEL IN WEIBULL CASE |
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| ABSTRACT |
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A stress-strength model is formulated for s of k systems consisting of identical components. We consider minimum variance unbiased (MVU) estimation of system reliability for data consisting of a random sample from the stress distribution and one from the strength distribution when the two distirubtions are Weibull with unknown scale parameters and same known shape parameter. The asymptotic distribution of MVU estimate of system reliability in the model is obtained by using the standard asymptotic properties of the maximum likelihood estimate of system reliability and establishing their equivalence. Uniformly most accurate unbiased confidence intervals are also obtained for system reliability. Empirical comparison of the two estimates for small samples is studies by Monte Carlo simulation. |
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