Bayes & classical estimation of environmental factors for the binomial distribution

E. A. Elsayed, Hongzhou Wang

Research output: Contribution to journalArticlepeer-review

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Summary & Conclusions -An environmental factor converts reliability test results at one environmental condition into equivalent failure information at other environments. This paper studies environmental-factor estimation for the binomial distribution. Under general conditions, Bayes point estimates and credibility limits for environmental factors are derived. Classical point and confidence interval estimates are introduced and compared with the Bayes estimators. The characteristics of Bayes and classical estimators for the binomial distribution are summarized through numerical computation and theoretical analysis. A numerical example of reliability assessment by means of environmental factors is presented.

Original languageEnglish (US)
Pages (from-to)661-665
Number of pages5
JournalIEEE Transactions on Reliability
Issue number4
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


  • Bayes method
  • Binomial distribution
  • Confidence limit
  • Credibility interval
  • Environmental factor
  • Reliability evaluation

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