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In this paper, we propose a new biased estimator of the regression parameters, the generalized ridge and principal correlation estimator. We present its some properties and prove that it is superior to LSE (least squares estimator), principal correlation estimator, ridge and principal correlation estimator under MSE (mean squares error) and PMC (Pitman closeness) criterion, respectively.doi:10.1007/s00362-015-0678-y fatcat:5356wteynvgvfimn5pfzagdoz4