Bayesian Estimation of Reliability for a Complex System with Weibull Distribution

BAO Meng; ZHANG Guo-zhi; ZHANG Wei

doi:10.15938/j.jhust.2015.05.022

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Bayesian Estimation of Reliability for a Complex System with Weibull Distribution

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- Bayesian Estimation of Reliability for a Complex System with Weibull Distribution
- Vol. 20, Issue 5, Pages: 111-115(2015)
- 作者机构：
  
  1. 哈尔滨理工大学应用科学学院,黑龙江,哈尔滨,150080
  2. 哈尔滨师范大学数学科学学院,黑龙江,哈尔滨,150025
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2015.05.022
  CLC： O213.2
- Published：2015
- 稿件说明：
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BAO Meng, ZHANG Guo-zhi, ZHANG Wei. Bayesian Estimation of Reliability for a Complex System with Weibull Distribution[J]. 2015, 20(5): 111-115.
DOI：

BAO Meng, ZHANG Guo-zhi, ZHANG Wei. Bayesian Estimation of Reliability for a Complex System with Weibull Distribution[J]. 2015, 20(5): 111-115. DOI： 10.15938/j.jhust.2015.05.022.

摘要

针对一般复杂系统的可靠性问题

依据最小路径描述的一般复杂系统

采用Bayes方法

研究了当子系统寿命服从Weibull分布时

一般复杂系统的可靠度估计问题。在定数截尾样本下得到了

当Weibull分布形状参数已知时

由寿命分布相同和不同的子系统组成的一般复杂系统的可靠度的Bayes估计;进一步得到了当Weibull分布形状参数未知

且子系统寿命服从相同的Weibull分布时

一般复杂系统的可靠度的Bayes估计问题

丰富了一般复杂系统可靠度的Bayes估计理论。

Abstract

In order to solve the problem of the reliability of general complex system

this paper uses Bayes method to study reliability of complex systems described by minimal path when the life of each component obeys Weibull distribution. Under Type- Ⅱ censoring

we obtain the bayesian estimation of reliability for the complex sys- tem with the same and the different components when the shape parameter of Weibull distribution is known

Fur- thermore

this paper gives the bayesian estimation of reliability for the same Weibull distribution with unknown shape parameter. The result enriches the bayesian estimation of reliability for general complex system.

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