Mean Squared Error Properties of Generalized Ridge Estimators

Abstract Mean squared errors are derived and examined for a number of generalized ridge (GR) regression estimators, and the estimators are compared in a number of specific regression models. The potential of GR estimators is discussed.

[1]  Norman R. Draper,et al.  Ridge Regression and James-Stein Estimation: Review and Comments , 1979 .

[2]  William E. Strawderman,et al.  Minimax Adaptive Generalized Ridge Regression Estimators , 1978 .

[3]  William J. Hemmerle,et al.  Explicit and Constrained Generalized Ridge Estimation , 1978 .

[4]  Jerald F. Lawless,et al.  Ridge and related estimation procedures: theory and practice , 1978 .

[5]  Robert L. Mason,et al.  Biased Estimation in Regression: An Evaluation Using Mean Squared Error , 1977 .

[6]  D. M. Allen A Simulation Study of Alternatives to Ordinary Least Squares: Comment , 1977 .

[7]  N. Wermuth,et al.  A Simulation Study of Alternatives to Ordinary Least Squares , 1977 .

[8]  R. R. Hocking,et al.  A Class of Biased Estimators in Linear Regression , 1976 .

[9]  R. R. Hocking The analysis and selection of variables in linear regression , 1976 .

[10]  R. Obenchain Ridge Analysis Following a Preliminary Test of the Shrunken Hypothesis , 1975 .

[11]  W. Hemmerle An Explicit Solution for Generalized Ridge Regression , 1975 .

[12]  R. Snee,et al.  Ridge Regression in Practice , 1975 .

[13]  A. F. Smith,et al.  Ridge-Type Estimators for Regression Analysis , 1974 .

[14]  G. C. McDonald,et al.  Instabilities of Regression Estimates Relating Air Pollution to Mortality , 1973 .

[15]  C. L. Mallows Some comments on C_p , 1973 .

[16]  William F. Lott The optimal set of principal component restrictions on a least-squares regression , 1973 .

[17]  D. Lindley,et al.  Bayes Estimates for the Linear Model , 1972 .

[18]  R. Srinivasan,et al.  Estimation of the Mean by Shrinkage to a Point , 1971 .

[19]  A. E. Hoerl,et al.  Ridge Regression: Applications to Nonorthogonal Problems , 1970 .

[20]  S. Silvey Multicollinearity and Imprecise Estimation , 1969 .

[21]  James R. Thompson Some Shrinkage Techniques for Estimating the Mean , 1968 .

[22]  D. M. Ellis,et al.  Applied Regression Analysis , 1968 .

[23]  Anders Hald,et al.  Statistical Theory with Engineering Applications , 1952 .