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基于主观推断的可靠性评估方法 被引量:12

Reliability Assessment Based on Subjective Inferences
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摘要 通过主观推断得到的可靠性信息一般是不完全先验信息 ,这些信息通常以可靠度均值或可信区间的形式存在。以贝塔分布作为先验信息的分布类型 ,介绍了用最大熵原理将不完全信息转化为完全型先验信息的计算方法 ,并用贝叶斯方法进行了成败型产品的可靠性评估 。 The reliability information which comes from subjective analysis is often incomplete prior. This information can be generally assumed to exist in the form of either a stated prior mean of R (reliability) or a stated prior credibility interval on R. An efficient approach is developed to determine a complete beta prior distribution from the subjective information according to the principle of maximum entropy, and then the reliability of survival/failure product is assessed via Bayes theorem. Numerical examples are presented to illustrate the methods.
出处 《核科学与工程》 CSCD 北大核心 2003年第2期127-131,共5页 Nuclear Science and Engineering
关键词 主观推断 可靠性 评估 不完全先验信息 可信区间 可靠度均值 贝塔分布 贝叶斯估计 reliability assessment bayes estimation beta distribution partial prior information,maximum information entropy
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参考文献5

  • 1Harry F Martz, Ray A Waller. Bayesian Reliability Analysis [M]. John Wiley & Sons. 1982.
  • 2H Raiffa, R Schlaifer. Applied Statistical Decision Theory. Harvard University, Boston, 1961.
  • 3D Dyer, P Chiou. An Information-theoretic Approach to Incorporating Prior Information in Binomial Sampling.Comm. in Statistics--Theoretical Methods, 1984, 13:2051~2083.
  • 4Vladirnir P Savehuk, Harry F Martz. Bayes Reliability Estimation Using Multiple Sources of Prior Information: Binomial Sampling. IEEE Trans on Reliability, 1994, 43(1).
  • 5J O Berger. Statistical Decision Theory and Bayesian Analysis (2nded). Springer-Verlag, 1985.

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