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On the euclidean distance between biased estimators
Authors:Dietrich Trenkler  Götz Trenkler
Institution:1. FB Wirtschaftswissenschaften Statistik und EDV , University of Bielefeld ,;2. FB Wirtschaftswissenschaften ?konometrie und Statistik , University of Hannover ,
Abstract:The purpose of this paper is to extend the results achieved by Hsuan (1981) to a wide class of biased estimators. It is shown that in the case of multicollinearity ridge and Iteration estimator can be made very close to the principal component estimator whereas the shrunken estimator does not have this property.
Keywords:Ridge regression  shrunken estimator  principal component estimator  iteration estimator  Euclidean distance  multicollinearity
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