| 对数正态分布均值的Bayes及Fiducial精确限 |
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| 引用本文： | 周源泉,翁朝曦,刘正贤.对数正态分布均值的Bayes及Fiducial精确限[J].系统工程与电子技术,1994(4). |
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| 作者姓名： | 周源泉 翁朝曦 刘正贤 |
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| 作者单位： | 北京强度与环境研究所 |
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| 摘 要： | 本文提出了对数正态分布均值在取共轭型及无信息先验分布时的Ｂａｙｅｓ精确限及Ｆｉｄｕｃｉａｌ精确限，它们能用有限区间上的一重积分迭代地求出。这种新算法非常方便，且有很高的精度，能极好地满足工程需要。而原来的算法是相当麻烦的，本文同时还推导出精度很高、算法简单的近似限。这种近似限既能直接用于工程，又能在迭代求解精确限时作为其搜索区间。
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| 关 键 词： | 对数函数，正态分布，极限，中数，可靠性工程。 |
Exact Bayesian and Fiducial Limits for the Mean of Lognormal Distribution |
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| Zhou Yuanquan,Weng Zhaoxi and Liu Zhengxian.Exact Bayesian and Fiducial Limits for the Mean of Lognormal Distribution[J].System Engineering and Electronics,1994(4). |
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| Authors: | Zhou Yuanquan Weng Zhaoxi and Liu Zhengxian |
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| Abstract: | In this paper,the exact Bayesian limits, taking conjugate and noninformative priordistribution,and the exact Fiducial limits for the mean of the lognormal distribution are presented.They can be obtained iteratively by one-dimension integral on a finite interval. The new algorithm is very convenient and with high accuracy. It can meet the practical engineering need excellently.How-ever,the primitive algorithm is rather cumbersome. By the way,the very close approximate limits with a simple algorithm are derived.They can be both applied immediately to engineering and used as a seareh intervel to find the root of equation for the exact limits. |
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| Keywords: | Bayesian limits Fiducial limits Mean Lognormal distribution |
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