Exact Bayesian and fiducial limits for the mean of lognormal distribution

被引：0

作者：

Zhou, Yuanquan ^{[1
]}

Weng, Zhaoxi ^{[1
]}

Liu, Zhengxian ^{[1
]}

机构：

[1] Beijing Inst of Structure and, Environment, Beijing, China

来源：

Journal of Systems Engineering and Electronics | 1994年 / 5卷 / 02期

关键词：

Algorithms - Approximation theory - Engineering research - Failure analysis - Integral equations - Integration - Iterative methods - Materials testing - Reliability theory - Service life - Statistical tests;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the exact Bayesian limits, taking conjugate and noninformative prior distribution, and the exact fiducial limits for the mean of the lognormal distribution are presented. They can be found 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. However, the primitive algorithm is rather cumbersome. By the way, the very close approximate limits with a simple algorithm are derived. They can be applied immediately to engineering. Otherwise, they can also be used as a search interval to find the root of equation for the exact limits.

引用

页码：41 / 46