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线性回归模型中参数的平衡LS估计的性质 被引量:1

Properties of the balanced LS estimation in linear regression model
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摘要 针对平衡LS估计这一类含参数t和参数矩阵L的估计,讨论了t和L的取值对平衡LS估计优良性的影响,得到了平衡LS估计在某些准则下优于OLS估计的条件。 For the balanced LS estimation which is a kind of estimation containing the parameter t and the parameter matrix L,we discussed the effects of the values of t and L on the property of the balanced LS estimation,and under some criterion we gained some conditions on which the balanced LS estimation is better than the OLS estimation.
作者 柏超
出处 《中南林业科技大学学报》 CAS CSCD 北大核心 2010年第3期164-166,共3页 Journal of Central South University of Forestry & Technology
基金 湖南省教育厅资助项目(09B113) 中南林业科技大学青年科学基金项目(2009020B)
关键词 数学 线性回归模型 平衡LS估计 OLS估计 mathematics linear regression model balanced LS estimation OLS estimation.
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参考文献5

  • 1Zeller A.Bayesian and non-Bayesian estimation using balanced loss function[C]//Gupta S S,Berger J O.Statistical decision theory and topics V.New York:Spring-Verlag,1994:377-390.
  • 2Wan A T K.Risk comparison of the inequality constrained least squares and other related estimators under balanced loss[J].Economics Letter,1996,46:203-210.
  • 3Wan A T K.On generalized ridge regression estimators under collierity and balanced loss[J].Applied Mathematics and Computation,2002,129:455-467.
  • 4Giles J A,Giles D E A,Ohtani,K.The exact risk of some pre-test and Stein-type regression estimators under balanced loss[J].Communications in Statistics,Theory and Methods,1996,25:2901-2929.
  • 5罗汉,柏超.线性模型中参数的平衡LS估计及其性质[J].湖南大学学报(自然科学版),2006,33(2):122-124. 被引量:12

二级参考文献6

  • 1ZELLER A.Bayesian and non-Bayesian estimation using balanced loss function[M] //GUPTA S S,BERGER J O.Statistical decision theory and topics V.New York:Spring-Verlag,1994:377 -390.
  • 2WAN A T K.Risk comparision of the inequality constrained least squares and other related estimators under balanced loss[J].Economics Letter,1996,46:203-210.
  • 3OHTANI K.The exact risk performance of a pre-test estimator in a heteroscedastic linear regresstion model under the balanced loss function[J].Econometric Reviews,1997,16:119-130.
  • 4GILES J A,GILES D E A,OHTANI K.The exact risk of some pre-test and stein-type regresstion estimators under balanced loss[J].Communications in Statistics,Theory and Methods,1996,25:2 901-2 929.
  • 5WAN A T K.On generalized ridge regresstion estimators under collinerity and balanced loss[J].Applied Mathematics and Computation,2002,129:455-467.
  • 6徐兴忠,吴启光.平衡损失下回归系数的线性容许估计[J].数学物理学报(A辑),2000,20(4):468-473. 被引量:26

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