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系统科学与数学 2009
LIU-TYPE ESTIMATION FOR THE LINEAR MODEL WITH LINEAR RESTRICTIONS
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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.