| 定数双截尾样本下k/N(G)系统可靠性指标的经验Bayes估计 |
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| 引用本文： | 师义民,寇开昌,周巧娟.定数双截尾样本下k/N(G)系统可靠性指标的经验Bayes估计[J].数学的实践与认识,2007,37(1):84-88. |
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| 作者姓名： | 师义民 寇开昌 周巧娟 |
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| 作者单位： | 1. 西北工业大学应用数学系,西安,710072
2. 西北工业大学应用化学系,西安,710072 |
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| 基金项目： | 国家自然科学基金;陕西省教育厅资助项目 |
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| 摘 要： | 在定数双截尾样本下,研究了不可修k/N(G)系统可靠性指标的估计问题.将Bayes方法和极大似然法相结合获得了部件失效率、系统可靠度和平均寿命的经验Bayes估计.最后给出随机模拟例子,说明了本文方法的正确性.
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| 关 键 词： | k/N(G)系统 可靠性指标 定数双截尾样本 经验Bayes估计 |
| 修稿时间： | 2006年8月3日 |
Empirical Bayes Estimation of the Reliability Performances for k/N(G) System Based on Type Ⅱ Doubly Censored Samples |
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| SHI Yi-min,KOU Kai-chang,ZHOU Qiao-juan.Empirical Bayes Estimation of the Reliability Performances for k/N(G) System Based on Type Ⅱ Doubly Censored Samples[J].Mathematics in Practice and Theory,2007,37(1):84-88. |
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| Authors: | SHI Yi-min KOU Kai-chang ZHOU Qiao-juan |
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| Abstract: | 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. |
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| Keywords: | k/N(G) system reliability performances type Ⅱ doubly censored samples empirical Bayes estimation |
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