Title :
Bayes Estimation of Reliability for Special k-out-of-m:G Systems
Author :
Chao, Anne ; Hwang, Wen-Dean
Author_Institution :
Institute of Applied Mathematics; National Tsing Hua University; Hsinchu, 300 TAIWAN.
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.
Keywords :
Chaos; Knowledge engineering; Life testing; Maximum likelihood estimation; Mean square error methods; Reliability engineering; Reliability theory; Root mean square; Statistical distributions; System testing; Bayes estimator; Constant failure-rate components; Type-II censored samples;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1983.5221688