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可靠性的贝叶斯及经验贝叶斯估计 被引量:1

BAYES AND EMPIRICAL BAYES ESMMATION OF RELIABILITY
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摘要 在产品的使用寿命服从指数分布的情形下,进行Ⅱ型截尾的步进应力加速寿命试验,而指数分布参数λ的先验分布为Γ(α,β)分布时,本文研究了在二次损失函数下的贝叶斯估计及在历史样本的条件下的经验贝叶斯估计,并给出一个计算实例。 In this paper, accelerated life testing step stress is discussed under the case, in which lifetime of product obeys the exponential distribution and empirical Bayesestimation of various indexes of reliability is given.
作者 温宝全
出处 《杭州电子工业学院学报》 1995年第2期8-15,共8页 Journal of Hangzhou Institute of Electronic Engineering
关键词 可靠性 贝叶斯估计 经验贝叶斯估计 step accelerated testing, reliability, type-Ⅱ right-censoring, prophet distribution, quadratic loss, Bayes estimation, experience Bayes estimation
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参考文献1

  • 1茆诗松.指数分布场合下步进应力加速寿命试验的统计分析[J]应用数学学报,1985(03).

同被引文献7

  • 1N Gebraeel,M A Lawley.A Neural Network Degra-dation Model for Computing and Updating Residual Life Distributions[J].IEEE Transactions on Automation Science and Engineering,2008,5(1):154-163.
  • 2Gebraeel N,Pan J.Prognostic Degradation Models for Computing and Updating Residual Life Distributions in a Time-varying Environment[J].IEEE Transactions on Reliability,2008,57(4):539-550.
  • 3Kaiser K A,Gebraeel N Z.Predictive Maintenance Management using Sensor-based Degradation Models[J].IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans,2009,39(4):840-849.
  • 4Gebraeel N,Elwany A,Pan J.Residual Life Predictions in the Absence of Prior Degradation Knowledge[J].IEEE Transactions on Reliability,2009,58 (1):106-117.
  • 5Santanu Chakraborty,NagiGebraeel,Mark Lawley,Hong Wan.Residual-life Estimation for Components with Nonsymmetric Prior[J].IIE Transactions,2009,41 (4):372-387.
  • 6N Gebraeel,M Lawley,R Li,J K Ryan.Residual Life Distributions from Component Degradation Signals:A Bayesian Approach[J].IIE Transctions,2005,37 (6):543-557.
  • 7J O Berger.Statistical Decision Theory and Bayesian Analysis[M].NewYork:Springer-Verlag,1985.

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