| 对数正态型元件贮备系统可靠性的置信下限 |
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| 引用本文： | 董岩. 对数正态型元件贮备系统可靠性的置信下限[J]. 工程数学学报, 2009, 26(5) |
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| 作者姓名： | 董岩 |
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| 作者单位： | 北京理工大学数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金，北京理工大学基础研究基金 |
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| 摘 要： | 本文研究了由κ个相互独立的元件和一个转换开关组成的贮备系统.假设元件的寿命服从对数正态分布,转换开关为成败型,本文给出了系统可靠性的表达式、点估计以及Fiducial和Bayes置 信下限.此外,还给出了系统可靠性的点估计以及置信下限的数值计算方法.在小样本情形下, 通过数值比较研究了Fiducial置信下限和Bayes置信下限的覆盖率性质.
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| 关 键 词： | 对数正态分布 贮备系统 可靠性 Fiducial置信下限 Bayes置信下限 |
Lower Confidence Limit for the Reliability of a Standby System with Lognormal Distribution Components |
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| DONG Yan. Lower Confidence Limit for the Reliability of a Standby System with Lognormal Distribution Components[J]. Chinese Journal of Engineering Mathematics, 2009, 26(5) |
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| Authors: | DONG Yan |
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| Affiliation: | DONG Yan (Department of Mathematics,Beijing Institute of Technology,Beijing 100081) |
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| Abstract: | This article studies a standby system composed of k independent components and a switch. Suppose that the lifetimes of the components follow lognormal distributions and the switch is a passfailure type. The expression,point estimation,Fiducial and Bayesian lower confidence limits for system reliability are obtained. Furthermore,numerical computations for the point estimation and the lower confidence limits are presented. For small sample,the coverage properties of Fiducial and Bayesian lower confidence limi... |
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| Keywords: | lognormal distribution standby system reliability Fiducial lower confidence limit Bayesian lower confidence limit |
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