Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (3): 55-57.DOI: 10.3778/j.issn.1002-8331.2009.03.015

• 研究、探讨 • Previous Articles     Next Articles

Parameters estimation in parallel repairable system of two components

HOU Hua-lei1,KANG Hui-guang2,SHI Yi-min1,JIANG Yao-wei3   

  1. 1.Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710129,China
    2.School of Mathematical Science,Anyang Normal University,Anyang,Henan 455000,China
    3.Department of Applied Mathematics,Xidian University,Xi’an 710071,China
  • Received:2008-06-10 Revised:2008-11-27 Online:2009-01-21 Published:2009-01-21
  • Contact: HOU Hua-lei



  1. 1.西北工业大学 应用数学系,西安 710129
    2.安阳师范学院 数学科学学院,河南 安阳 455000
    3.西安电子科技大学 应用数学系,西安 710071
  • 通讯作者: 侯华蕾

Abstract: To obtain the Bayes estimates of the parameters included in the components that belong to a parallel repairable system,assume that the failure and repair time distributions of the units are exponential with unknown parameters and choose LINEX loss function,give the calculating formulas of the estimators of λμ and simulation methods.Comparing with the estimates of the same parameters relative to squared error loss,the conclusion is that the Bayes estimator is the best estimator under LINEX loss function in the sense of having smaller percentage errors.

Key words: parallel repairable system, LINEX loss, exponential distribution, Bayes estimation, simulation

摘要: 为了给出两单元并联可修系统未知参数的Bayes估计,假设单元的失效时间和修理时间服从参数不同的指数分布,选取LINEX损失函数,给出了参数估计的计算公式,并进行了计算机仿真。与平方损失下的Bayes估计进行比较的结果表明,选用LINEX损失下得到的估计有较小的均方误差。

关键词: 并联可修系统, LINEX损失, 指数分布, Bayes估计, 仿真