| 对数正态分布场合下产品加固性能的Bayes评估方法 |
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| 引用本文： | 韩峰,王建国,乔登江. 对数正态分布场合下产品加固性能的Bayes评估方法[J]. 应用概率统计, 2009, 25(4): 433-440 |
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| 作者姓名： | 韩峰 王建国 乔登江 |
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| 作者单位： | 西北核技术研究所,西安,710024 |
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| 摘 要： | 总结了评估产品抗辐射能力实验中常常遇到的三类数据.针对产品抗辐射能力服从对数正态分布、实验样本数据为成败型实验数据的情形,运用Bayes方法给出了在小样本情况下,产品平均抗辐射能力大于给定指标要求的后验概率的计算方法以及在给定置信度下产品平均抗辐射能力置信下限的计算方法.讨论了未知参数先验分布的确定方法, 并给出了评估方法的具体例子.
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| 关 键 词： | Bayes方法 对数正态分布 加固性能 置信下限. |
Bayesian Assessment for Product's Radiation HardeningPerformance under Lognormal Distribution |
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| HAN FENG,WANG JIANGUO,QIAO DENGJIANG. Bayesian Assessment for Product's Radiation HardeningPerformance under Lognormal Distribution[J]. Chinese Journal of Applied Probability and Statisties, 2009, 25(4): 433-440 |
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| Authors: | HAN FENG WANG JIANGUO QIAO DENGJIANG |
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| Affiliation: | Northwest Institute of Nuclear Technology |
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| Abstract: | We summarize three kinds of data oftenoccurred in experiments which are done to estimate the product'sradiation hardening (RH) performance. A method based on Bayesiantheory is proposed in this paper. This method is applied to evaluatethe product's RH performance if the product's RH performance abidesby the lognormal distribution and the samples are Zero-One data. Theprior distributions of unknown parameters are also discussed, andtwo examples are given to illustrate the proposed method. |
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| Keywords: | Bayesian method lognormal distribution radiation hardening performance. |
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