| 一次性作用产品可靠度的Bayes置信下限 |
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| 引用本文： | 杨新莉,田玉斌.一次性作用产品可靠度的Bayes置信下限[J].北京理工大学学报,2002,22(5):543-548. |
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| 作者姓名： | 杨新莉 田玉斌 |
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| 作者单位： | 北京理工大学,应用数学系,北京,100081 |
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| 摘 要： | 针对高价值一次性作用产品的小样本可靠性评估问题,选用带有k因子的先验分布,基于贝塔分布的双层先验分布,以及基于均匀分布的双层先验分布,研究了一次性作用产品的可靠度置信下限的估计方法.由模拟研究得出,在有历史数据时,基于k因子贝塔先验分布的估计方法比WCF方法精确;在有不完全历史信息时,基于贝塔双层先验分布的方法比基于均匀双层先验分布的方法精确.
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| 关 键 词： | 先验分布 可靠度 Bayes置信下限 |
| 文章编号： | 1001-0645(2002)05-0544-05 |
| 收稿时间： | 2001/12/4 0:00:00 |
| 修稿时间： | 2001年12月4日 |
Lower Bayes Confidence Limits for the Reliability of One-Shot Products |
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| YANG Xin-li and TIAN Yu-bin.Lower Bayes Confidence Limits for the Reliability of One-Shot Products[J].Journal of Beijing Institute of Technology(Natural Science Edition),2002,22(5):543-548. |
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| Authors: | YANG Xin-li and TIAN Yu-bin |
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| Affiliation: | Dept. of Applied Mathematics, Beijing Institute of Technology, Beijing100081, China;Dept. of Applied Mathematics, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | Lower Bayes confidence limits of one-shot products with little present data are discussed, using three kinds of prior distributions: Beta prior distribution with k factor, double prior distribution based on Beta distribution and double prior distribution based on uniform distribution. Through analysis and study, it is concluded that the result using Beta prior distribution with k factor proves to be better than that of the WCF method, and that double prior distribution based on Beta distribution is better than double prior distribution based on uniform distribution. |
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| Keywords: | prior distribution reliability Bayes lower confidence limits |
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