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《Mathematics in Practice and Theory》 2007-01
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Empirical Bayes Estimation of the Reliability Performances for k/N(G) System Based on Type Ⅱ Doubly Censored Samples

SHI Yi-min~1, KOU Kai-chang~2, ZHOU Qiao-juan~1(1.Department of Applied Mathematics,Northwestern Polytechnical University,Xi′an 710072,China)(2.Department of Applied Chemistry,Northwestern Polytechnical University,Xi′an 710072,China)  
Based on type Ⅱ doubly censored samples,the problems of estimating the reliability performances for k/N(G) system are studied by using Bayes and MLE approaches.Under squared-error loss,the formulae to calculate empirical Bayes estimation of the failure rate,the reliability function and mean lifetime are given. Finally,an illustrative numerical example is examined by means of the Monte-Carlo simulation.
【Fund】: 国家自然科学基金(70471057);; 陕西省教育厅自然科学基金(03JK065)
【CateGory Index】: O213.2
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