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OALib Journal期刊
ISSN: 2333-9721
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LIU-TYPE ESTIMATION FOR THE LINEAR MODEL WITH LINEAR RESTRICTIONS
带线性约束的回归模型参数的Liu估计方法

Keywords: Linear regression,multicollinearity,Liu-type estimation,mean squared error
线性回归
,复共线性,Liu型估计,均方误差.

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Abstract:

For the multicollinearity in restricted linear regression, there are some problems still left open in current popular ordinary restricted least square estimation. By introducing stochastic linear restrictions, a restricted Liu-type estimation is proposed, which generalizes the ordinary restricted least square estimation and restricted ridge estimation. Then the selection method of the scalars $k$ and $d$ is disscussed and is generalized to the estimation of restricted linear model and canonical form.

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