Journal of shanghai Jiaotong University (Science) ›› 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

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)
  2. (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

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

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

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