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线性模型中广义最小二乘估计关于误差分布的稳健性 被引量:6

On Robustness of GLSE in Terms of Error Distributions in Linear Model
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摘要 研究一般线性模型下广义最小二乘估计关于误差分布的稳健性,给出了误差分布的最大分布类,使得当误差向量的分布在此范围内变动时,广义最小二乘估计在广义均方误差准则下为一致最优估计. Robustness of generalized least square estimator in terms of error distributions in general linear model was discussed. We explored the maximal class of distributions of error term, in which the GLSE possesses robustness, that is, the GLSE is the best linear estimator under the criterion of minimizing the generalized MSE matrix with the error distribution varying within the maximal class.
作者 邱红兵 罗季
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2009年第1期13-16,共4页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:10701021) 国家社会科学基金(批准号:07CTJ001) 浙江省哲学与社会科学规划项目基金(批准号:06CGYJ21YQB) 浙江财经学院重大课题项目基金(批准号:2008YJZ06)
关键词 线性模型 广义均方误差 稳健性 广义最小二乘估计 最佳线性无偏估计 linear model generalized MSE robust generalized least square estimator best linear unbiased estimator
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参考文献8

  • 1Rao C R, Mitra S K. Generalized Inverse of Matrices * and Its Applications [ M ]. New York : John Wiley & Sons Inc, 1971.
  • 2Mathew T, Bhimasankaram P. Optimality of BLUE' s in a General Linear Model with Incorrect Design Matrix [ J]. J Statist Plan Infer, 1983, 8(3) : 315-369.
  • 3Ali M M, Ponnapalli R. An Optimality of the Guass-Markov Estimator [J]. J Multivariate Anal, 1990, 32: 171-176.
  • 4Puntanen S. Some Matrix Results Related to a Partitioned Singular Linear Model [ J ]. Comm Statist A: Theory Methods, 1996, 25(2) : 269-279.
  • 5Puntanen S. Some Further Results Related to Reduced Singular Linear Models [ J ]. Comm Statist: Theory Methods, 1997, 26(2) : 375-385.
  • 6Werner H J, Yapar C. A BLUE Decomposition in the General Linear Regression Model [ J ]. Linear Algebra Appl, 1996, 237/238: 395404.
  • 7Kariya T, Kurata H. A Maximal Extension of the Guass-Markov Theorem and Its Nonlinear Version [ J]. J Multivariate Anal, 2002, 83 ( 1 ) : 37-55.
  • 8刘湘蓉.最小二乘估计关于误差分布的稳健性[J].应用概率统计,2006,22(4):429-437. 被引量:8

二级参考文献5

  • 1Eaton, M.L., Concentration inequalities for Gauss-Markov estimator, J. Multivariate Anal., 25(1988),119-138.
  • 2Berk, R. and Hwang, J.T., Optimality of the least squares estimator, J. Multivariate Anal., 30(1989),245-254.
  • 3Rao, C.R. and Mitra, S.K., Generalized Inverse of Matrices and Its Applications, Wiley, New York,1971.
  • 4Kariya, T. and Kurata, H., A maximal extension of the Gauss-Markov theorem and its nonlinear version, J. Multivariate Anal., (83)(2002), 37-55.
  • 5Ali, M.M. and Ponnapalli, R., An optimality of the Gauss-Markov estimator, J. Multivariate Anal.,32(1990), 171-176.

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