上海交通大学学报（英文版） ›› 2015, Vol. 20 ›› Issue (4): 454-457.doi: 10.1007/s12204-015-1648-1

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Estimation of Reliability Derived from Binomial Distribution in Zero-Failure Data

HAN Ming (韩明)   

  1. (School of Science, Ningbo University of Technology, Ningbo 315211, Zhejiang, China)
  • 发布日期:2015-08-05
  • 通讯作者: HAN Ming (韩明) E-mail:hanming618@21cn.com

Estimation of Reliability Derived from Binomial Distribution in Zero-Failure Data

HAN Ming (韩明)   

  1. (School of Science, Ningbo University of Technology, Ningbo 315211, Zhejiang, China)
  • Published:2015-08-05
  • Contact: HAN Ming (韩明) E-mail:hanming618@21cn.com

摘要： This paper introduces a new method, E-Bayesian estimation method, to estimate the reliability in zero-failure data. The definition of E-Bayesian estimation of the reliability is given. Based on the definition, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the reliability are provided, and property of the E-Bayesian estimation, i.e. relation between E-Bayesian estimation and hierarchical Bayesian estimation, is discussed. Calculations performed on practical problems show that the proposed new method is feasible and easy to operate.

关键词: reliability engineering, binomial distribution, zero-failure data, E-Bayesian estimation, hierarchical Bayesian estimation

Abstract: This paper introduces a new method, E-Bayesian estimation method, to estimate the reliability in zero-failure data. The definition of E-Bayesian estimation of the reliability is given. Based on the definition, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the reliability are provided, and property of the E-Bayesian estimation, i.e. relation between E-Bayesian estimation and hierarchical Bayesian estimation, is discussed. Calculations performed on practical problems show that the proposed new method is feasible and easy to operate.

Key words: reliability engineering, binomial distribution, zero-failure data, E-Bayesian estimation, hierarchical Bayesian estimation

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