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在定数截尾样本下三参数威布尔分布的矩估计方程 被引量:2

Moment Estimation Equation of the Three-parameter Weibull Distribution under Censored Samples
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摘要 将威布尔分布数据转化为均匀分布数据,利用平均剩余寿命构造样本矩,得到了在定数截尾样本下三参数威布尔分布的矩估计方程. Based on censored samples, the problem of moment estimation of the three-parameter Weibull distribution is discussed. Mean residual lifetime is used to constructed sample moment. With the method of transformation, the modified moment equation is derived. Especially, together with geometric mean, we set up the first equation, which makes the outcome more precise.
出处 《大学数学》 北大核心 2005年第1期49-52,共4页 College Mathematics
关键词 三参数威布尔分布 矩估计 平均剩余寿命 次序统计量 three-parameter Weibull distribution moment estimation mean residual lifetime order statistic
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参考文献4

  • 1Balakrishnan N and Cohen A C. Order Statistic and Inference[M]. Academic Press Inc., 1991.
  • 2孙丽玢,费鹤良.在定数截尾样本下三参数威布尔分布的矩估计[J].应用概率统计,2003,19(3):293-297. 被引量:13
  • 3Cohen A C, Whitten B J. Modified maximum likelihood and modified moment estimators for the three-parameter Weibull distribution, Commum. statist. -Theory Meth., 1982,11:2631-2656.
  • 4Cohen A C, Whitten B J and Ding Y. Modified moment estimators for the three-Parameter Weibull distribution[J]. J.Qual.Tech., 1984,16:159-167.

二级参考文献6

  • 1Lawless, J.F., Statistical Models and Methods for Lifetime Data, John Wiley, 1982.
  • 2Cohen, A.C., Whitten, B.J., Modified maximum likelihood and modified moment estimators for the three-paraxneter Weibull distribution, Commun. Statist. - Theory Meth., 11(1982), 2631-2656.
  • 3Cohen, A.C., Whitten, B.J. and Ding, Y., Modified Moment Estimation for the Three-parameter Weibull Distribution, J. Qual. Tech., 16(1984), 159-167.
  • 4Fei, H.L., Su, D.Q. and Leng, S.M., Statistical Analysis for the Residual Life of Progressive Stress Screening Tests,Icrecm'92, International Academic Publishers.
  • 5Balakrishnan, N. and Cohen, A.C., Order Statistic and Inference, Academic Press Inc., 1991.
  • 6陈迪.截尾样本的三参数Weibull分布参数的近似极大似然估计(AMLE)[J].数理统计与应用概率,1991,:368-381.

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