Communication in Statistics- Theory and Methods · 2001 · 37 citations · 21 references
Natural SciencesBusiness EconomicsComparative Effectiveness ResearchEconometricsStatisticsBiasBias-variance TradeoffEstimation TheoryMultivariate AnalysisRegressionStatistical InferenceComparative Estimator EvaluationEstimation Bias AssessmentLeast Squares EstimationMean Squared ErrorMean Squared Error AnalysisMean Squared Error EstimationRidge RegressionRoot Mean Squared Error Analysis
Abstract Gunst and Mason (1976) and Trenkler (1980) have compared several regression estimators with respect to the generalized mean squared error criterion. The purpose of this paper is to deal with the comparisons among the some other biased estimators constructed as alternatives to the least squares estimator when multicollinearity is present. Keywords: Ridge regressionIteration estimatorLiu estimatorMean square errorMulticollinearity ACKNOWLEDGMENTS The authors are grateful to Professor William B. Smith, the Editor-in-Chief, and to the referee for their detailed comments and suggestions.
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Ridge Regression: Biased Estimation for Nonorthogonal Problems
Arthur E. Hoerl, Robert W. Kennard · Technometrics · 1970 · 1.9K citations
<i>Statistical Theory with Engineering Applications</i>
A. Hald, Bernard Friedman · Physics Today · 1953 · 1.5K citations
Toby J. Mitchell, Cuthbert Daniel, Fred S. Wood et al. · Biometrics · 1973 · 869 citations