Bayesian Limits, Fiducial Limits and Classical Limits for Reliable Life of Normal Distribution

Zhou Yuan-quan

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Bayesian Limits, Fiducial Limits and Classical Limits for Reliable Life of Normal Distribution

更新时间：2025-12-08

- Bayesian Limits, Fiducial Limits and Classical Limits for Reliable Life of Normal Distribution
- Acta Electronica Sinica Issue 2, Pages: 46-52(1986)
- 作者机构：
  
  北京强度与环境研究所
- 作者简介：
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- Published：1986
- 稿件说明：
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[1]周源泉.正态可靠寿命的Bayes限、Fiducial限及经典限[J].电子学报,1986(02):46-52.

Zhou Yuan-quan. Bayesian Limits, Fiducial Limits and Classical Limits for Reliable Life of Normal Distribution[J]. Acta Electronica Sinica, 1986, (2): 46-52.
[1]周源泉.正态可靠寿命的Bayes限、Fiducial限及经典限[J].电子学报,1986(02):46-52. DOI：

Zhou Yuan-quan. Bayesian Limits, Fiducial Limits and Classical Limits for Reliable Life of Normal Distribution[J]. Acta Electronica Sinica, 1986, (2): 46-52. DOI：

摘要

当正态参数取右不变Haar先验测度时

正态可靠寿命的Boyes限、Fiducial限与经典限完全相同。为解决单边容许限系数表值有限的矛盾

推导了可靠寿命精确限计算的直接法

为工程应用方便

给出了可用手算解近似限的方法。所得结果可平行地用于对数正态分布的可靠寿命及最大维修时间的区间估计。

Abstract

The Bayesian limits and Fiducial limits for reliable life tt-R of normal distribution are derived. When the prior distribution on the normal parameters is the right invariant Haar measure

the Bayesian limits of t1-R are equal to the Fiducial limits and classical limits. The direct approach of the exact limits anda hand-calculating method of the approxi-mat limits of t1-R are provided. The interval estimation for the reliable life and the maximum maintain time of lognormal distribution is given.

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