Showing papers by "Anne Chao published in 1983"
TL;DR: In this article, the mean squared errors of the maximum likelihood and minimum variance unbiased estimators of general k-out-of-m systems when the component lifetimes are independent and follow a two-parameter exponential distribution were derived.
Abstract: Combining the method used i n Chao (1981) and conditional procedure, we extend our previous results for one-parameter exponential to two-parameter case, i .e. we provide simple approximation formulas for the mean squared errors of the maximum likelihood and minimum variance unbiased estimators of reliability of general k-out-of-m systems when the component lifetimes are independent and follow a two-parameter exponential distribution.
3 citations
TL;DR: In this paper, a simple approximation formula for the mean square error of the Bayes estimator is proposed, which is based on a mean square-error criterion, the performance of the BER under a non-informative prior is compared with that of the maximum likelihood and minimum variance s-unbiased estimators.
Abstract: Component lifetimes of a k-out-of-m: G system are s-independent and exponentially distributed. The Bayes-quadratic-loss estimator of reliability for the system is obtained using a conjugate (1-parameter case) or a noninformative (2-parameter case) prior when data are type-II censored. A simple approximation formula for the mean square error of the Bayes estimator is proposed. Based on the mean square-error criterion, the performance of the Bayes estimator under a noninformative prior is compared with that of the maximum likelihood and minimum variance s-unbiased estimators.
2 citations