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系统可靠性Bayes点估计的若干结果 被引量：1

SOME RESULTS OF BAYESIAN POINT ESTIMATION OF SYSTEM RELIABILITY
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摘要 本文证明了三个定理，得到串联、并联、ｋ／ｍ（Ｇ）系统可靠度和平均寿命的Ｂａｙｅｓ点估计表达式（ｔ）和．有助于“经济系统可靠性”的研究． This paper proves three theorems, gets expressions Rs (t) and of Bayesian point estimation of series. parallel . k/n (G) system reliability and mean time to failure. To benefit research of economical system reliability.
作者 郑骏
机构地区 山东师范大学数学研究所
出处 《经济数学》 1996年第2期61-65,共5页 Journal of Quantitative Economics
关键词 系统可靠性 BAYES估计 可靠度 平均寿命 system reliability, Bayesian estimation, reliability, mean time to failure
分类号 O212 [理学—概率论与数理统计]
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  • 1刘晗,谭林,郭波.综合单元验前信息的系统可靠度Bayes评估[J].中国制造业信息化（学术版）,2006,35(11):77-80. 被引量：5
  • 2MARTZ H F, WALHER R A. Bayesian Reliability Analysis[M].John Wiley and Sons, New York, USA, 1982: 85 -253.
  • 3CHAO A,HWANG W D. Bayes Estimation of Reliability for Spe-cial k-out-of-m: G Systems[ J] . IEEE Transactions on Reliability,1983,32(4) : 370 -373.
  • 4SINHA S K. Bayes Estimation of the Reliability Function and Haz-ard Rate of a Weibull Failure Time Distribution[ J]. Trabajoe deEstadista. 1986, 1(2):47 -56.
  • 5Haim M,RAFAEL Haifa. Bayes Reliability Modeling of a Multi-state Consecutive K-out-of-n : F system [ C ] //Reliability and Ma-intainability Symposium, IEEE, Orlando, 1991 : 582 -586.
  • 6TANG J,TANG K, MOSKOWITZH. Bayes Credibility Intervalsfor Re liability of Series Systems with Very Reliable Components[J ]. IEEE Transactions on Reliability, 1994, 43 ( 1 ): 132-137.
  • 7SANKARAN Mahadevan, ZHANG Ruo xue, NATASHA Smith.Bayesian Networks for System Reliability Reassessment [ J ].Structural Safety, 2001,23(3) : 231 -251.
  • 8PIEVATOLO A, RUGGERI F. Bayesian Reliability Analysis ofComplex Repairable Systems[ J]. APPLIED STOCHASTIC MOD-ELS IN BUSINESS AND INDUSTRY, 2004 , 20(3) : 253 - 264.
  • 9SARHAN A M, DEBASIS K. Bayes Estimations for ReliabilityMeasures in Geometric Distribution Model using Masked SystemLife Test Data [ J]. Computational Statistics and Data Analysis,2008,52(4):1821 -1836.
  • 10POLPL Adriano, PEREIRA Carlos A. B. Reliability Nonparamet-ric Bayesian Estimation in Parallel systems [ J ]. IEEE Transac-tions on Reliability. 2009, 58(2) : 364 -373.

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经济数学
1996年 第2期

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