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Weibull分布损伤失效率模型常应力下的参数估计(英文) 被引量:13

Parameter Estimation of the Weibull Distribution Tampered Failure Rate Model under a Normal Stress Parameter Estimation of the Weibull Distribution Tampered Failure Rate Model under a Normal Stress
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摘要 Bhattacharyya和Soejoeti(1989)对步进应力加速寿命试验提出损伤失效率模型(TFR模型).本文在全加速步加试验场合下指出文献[1],[2],[5]中用通常的回归分析方法求取常应力下参数的估计是不合理的,同时给出了如何求取常应力下参数估计的一种方法. Bhattacharyya and Soejoeti (1989) proposed the TFR (Tampered Failure Rate) model for step-stress accelerated life tests. On step-stress completely accelerated test occasions, this paper points out that the strategy provided in [1], [2] and [5] for seeking parameter estimates under a normal stress using the usual regression analysis is unreasonable. And the paper also offers a method of estimating parameters under a normal stress.
出处 《应用概率统计》 CSCD 北大核心 2004年第2期126-132,共7页 Chinese Journal of Applied Probability and Statistics
基金 This project was supported by NSF of China(10271079,69971016) by the Core Subject Foundation of Shanghai
关键词 WEIBULL分布 TFR模型 累积损伤模型 极大似然估计 MONTE-CARLO模拟 全加速步加试验 常应力 Weibull distribution, TFR model, CE model, MLE, Monte-Carlo simulation, step-stress com-pletely accelerated test, normal stress.
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参考文献12

  • 1Bhattacharyya G.K., Soejoeti Z., A tampered failure rate model for step-stress accelerated life test, Commun. Statist.-Theory Meth., 18(5)(1989), 1627-1643.
  • 2Madi M.T., Multiple step-stress accelerated life test: the tampered failure rate model, Commun. Statist.- Theory Meth., 22(9)(1993), 2631-2639.
  • 3Seiji Nabeya, Coincidence of two failure rate models, Commun. Statist.- Theory Meth., 22(3)(1993), 781-785.
  • 4Rao, B.Raja, Equivalence of the tampered random variable and the tampered failure rate models in accelerated life testing for a class of life distributions having the 'setting the clock back to zero property', Commun. Statist.-Theory Meth., 21(3)(1992), 6
  • 5Cheng D., Tampered failure rate model under the step-stress accelerated life testing, The First Operational Research Youth Reliability Academic Conference - Reliability Theory, Methods and Application, Beijing, Publishing House of Engineering Industry, 19
  • 6Lin Z., Fei H., Statistical inference from progressive stress accelerated life tests, Proceedings of China-Japan Reliability Symposium, Shanghai, 1987, 229-236.
  • 7Fei H., Xun X., Statistical analysis for progressive stress accelerated life testing in the exponential case, ICRMS'96,Guangzhou, China. No.5, 12-15, Proceedings of the Third International Conference on R.Maintainability and Safety,Publishing House of Ele
  • 8DeGroot M.H., Goel P.K., Bayesian estimation and optimal designs in partially accelerated life testing, Naval Research logistics Quarterly, 26(1979), 223-235.
  • 9Nelson, W., Accelerated life testing step-stress models and data analysis, IEEE Traus. on Reliability, 29(1980),103-108.
  • 10Nelson, W., Accelerated Testing, New York, John Wiley & Sons, 1990.

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