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核实数据下均值的估计 被引量：3

Mean-Value Estimation with Validation Data
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摘要 文章研究基于替代与核实数据样本下总体均值的估计问题,利用核权函数法定义了一个总体均值的估计量,它包含了替代数据和核实数据两方面信息.并证明了该估计量的渐进正态性,同时给出估计量的收敛速度. In this paper, the mean-value estimation problem with surrogate data and validation sampling is considered. A regression calibration kernel function is defined to incorporate the information contained in both surrogate variates and validation sampling. The proposed estimators are proved to be asymptotically normal and convergent rate.
作者 宇世航
机构地区 齐齐哈尔大学理学院
出处 《应用概率统计》 CSCD 北大核心 2010年第5期530-536,共7页 Chinese Journal of Applied Probability and Statistics
基金 黑龙江省教育厅科学技术研究项目(11551543)资助
关键词 均值估计 渐近正态 收敛速度 Mean-value, asymptotically normal, convergent rate.
分类号 O212.7 [理学—概率论与数理统计]
  • 相关文献

参考文献6

  • 1Sepanski, J.H. and Lee, L.F., Semiparametric estimation of nonlinear error-in-variables models with validation study, J. Nonparam. Statistics, 4(1995), 365-394.
  • 2Wang, Q.H., Estimation of partial linear error-in-variables model with validation data, J. Multivaiate Anal., 69(1999), 30-64.
  • 3Wang, Q.H., Estimation of linear error-in-covariable models with validation data under random censorship, J. Multivariate Anal., 74(2000), 245-266.
  • 4Wang, Q.H. and Rao, J.N.K., Empirical likelihood-based inference in Linear error-itovariables models with validation data, Bioraetrika, 89(2002), 345-358.
  • 5王启华,Wolfgang Hardle.核实数据帮助下误差在反映线性模型经验似然降维推断[J].中国科学（A辑）,2004,34(5):549-566. 被引量：9
  • 6薛留根.核实数据下非线性半参数EV模型的经验似然推断[J].数学学报（中文版）,2006,49(1):145-154. 被引量：21

二级参考文献39

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  • 6Wang Q. H., Rao J.N.K., Empirical likelihood-based inference in linear error-in-covariables models with validation data, Biometrika, 2002, 89: 345-358.
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共引文献22

同被引文献19

  • 1王启华,Wolfgang Hardle.核实数据帮助下误差在反映线性模型经验似然降维推断[J].中国科学（A辑）,2004,34(5):549-566. 被引量：9
  • 2薛留根.核实数据下非线性半参数EV模型的经验似然推断[J].数学学报（中文版）,2006,49(1):145-154. 被引量：21
  • 3Sepanski. J. H, Lee L. F. Semiparametric Estimation of Monlinear Error-in-variables Models with Validation[J].Nonparametric Statist, 1995,(4).
  • 4Q.H.wang.Estimation of Partial Linear Error-in-variables Model with Validation Data[J]. J.Multivaiate Anal,1999,(69).
  • 5Wang Q. H.Estimation of Linear Error-in-covariable Models with Validation Data under Random Censorship[J].J Multivariate Anal., 2000, (74).
  • 6Wang Q.H., Rao J. N. K. Empirical Likelihood-based Inference in Linear Error-itovariables Models with Validation Data[J].Bioraetrika, 2002, (89).
  • 7Sepanski J H, Lee L F. Semiparametric estimation of nonlinear error-in-variables models with validation[J]. J Nonparametric Statist, 1995, 4: 365-394.
  • 8Wang Q. H. Estimation of partial linear error-in-variables model with validation data[J]. J Multi- vaiate Anal, 1999, 69: 30-64.
  • 9Wang Q H. Estimation of linear error-in-covariable models with validation data under random censorship[J]. J Multivariate Anal, 2000, 74: 245-266.
  • 10Wang Q H, Rao J N K. Empirical likelihood-based inference in Linear error-itovariables models with validation daia[J]. Bioraetrika, 2002, 89: 345-35.

引证文献3

应用概率统计
2010年 第5期

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