| 系统树中的近似Bayes方法 |
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| 引用本文： | 郑忠国,戴明,石坚. 系统树中的近似Bayes方法[J]. 数学研究及应用, 1996, 16(1): 1-12 |
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| 作者姓名： | 郑忠国 戴明 石坚 |
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| 作者单位： | 北京大学概率统计系;北京理工大学;中国科学院系统科学研究所 |
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| 摘 要： | 本文利用近似Ｂａｙｅｓ方法对一个具有树形结构的成败型系统的可靠性进行估计．本文证明了利用近似Ｂａｙｅｓ方法对系统的可靠性参数的估计，具点估计在Ｆｉｓｈｅｒ意义下是渐近有效的，其相应的置信下限也是Ｆｉｓｈｅｒ意义下渐近有效的．
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| 关 键 词： | 系统树 近似贝叶斯方法 成败型系统 可靠性 |
| 收稿时间： | 1993-06-14 |
Approximation Bayes Method in System Tree |
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| Zheng Zhongguo,Dai Ming and Shi Jian. Approximation Bayes Method in System Tree[J]. Journal of Mathematical Research with Applications, 1996, 16(1): 1-12 |
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| Authors: | Zheng Zhongguo Dai Ming Shi Jian |
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| Affiliation: | Department of Probability and Statistics. Peking University; Bekjing. 100871;Department of Probability and Statistics. Peking University; Bekjing. 100871;Department of Probability and Statistics. Peking University; Bekjing. 100871 |
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| Abstract: | In this paper, an approximate Bayes method is employed ot estimate the reliability of a system tree. It is proved that the estimators set by approximate Bayes method is efficient in Fisher's sense. Moreover. the lower confidence limit of the reliability of a system tree set by approximate Bayes method, which is efficient in Fisher's sense, is investigated. |
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| Keywords: | system tree. Bayes method prior distribution posterior distribution conjugate distribution asymptotical efficiency. |
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