A Simulation Study of Some Ridge Estimators

References

• Crone , L. 1972 . “The Singular Value Decomposition of Matrices and Cheap Filtering of Systems of Linear Equations,” . Journal of the Franklin Institute , 294 : 133 – 136 .
   Web of Science ®Google Scholar
• Dempster , Arthur P. , Schatzoff , Martin and Wermuth , Nanny . 1977 . “A Simulation Study of Alternatives to Ordinary Least Squares,” . Journal of the American Statistical Association , 72 : 77 – 106 .
   Web of Science ®Google Scholar
• Draper , Norman R. and Van Nostrand , Craig R. 1979 . “Ridge Regression and James-Stein Estimation: Review and Comments,” . Technometrics , 21 : 451 – 466 .
   Web of Science ®Google Scholar
• Gibbons , Diane I. 1978 . “A Simulation Study of Some Ridge Estimators,” , Warren , Mich : General Motors Research Laboratories . General Motors Research Report No. GMR-2659
   Google Scholar
• Goldstein , M. and Smith , A. F. M. 1974 . “Ridge-type Estimators for Regression Analysis,” . Journal of the Royal Statistical Society , 36 : 284 – 291 . Ser. B
   Google Scholar
• Golub , Gene H. , Heath , Michael and Wahba , Grace . 1979 . “Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter,” . Technometrics , 21 : 215 – 223 .
   Web of Science ®Google Scholar
• Gunst , Richard F. and Mason , Robert L. 1977 . “Biased Estimation in Regression: An Evaluation Using Mean Squared Error,” . Journal of the American Statistical Association , 72 : 616 – 628 .
   Web of Science ®Google Scholar
• Hemmerle , William J. 1975 . “An Explicit Solution for Generalized Ridge Regression,” . Technometrics , 17 : 309 – 314 .
   Web of Science ®Google Scholar
• Hemmerle , William J. and Brantle , Thomas F. 1978 . “Explicit and Constrained Generalized Ridge Estimation,” . Technometrics , 20 : 109 – 120 .
   Web of Science ®Google Scholar
• Hoerl , Arthur E. 1962 . “Application of Ridge Analysis to Regression Problems,” . Chemical Engineering Progress , 58 : 54 – 59 .
   Google Scholar
• Hoerl , Arthur E. and Kennard , Robert W. 1970 . “Ridge Regression: Biased Estimation for Non-Orthogonal Problems,” . Technometrics , 12 : 56 – 67 .
   Web of Science ®Google Scholar
• Hoerl , Arthur E. and Kennard , Robert W. 1976 . “Ridge Regression: Iterative Estimation of the Biasing Parameter,” . Communications in Statistics , 5 : 77 – 88 .
   Google Scholar
• Hoerl , Arthur E. , Kennard , Robert W. and Baldwin , Kent F. 1975 . “Ridge Regression: Some Simulations,” . Communications in Statistics , 4 : 105 – 123 .
   Google Scholar
• INTERNATIONAL AND MATHEMATICAL STATISTICAL LIBRARIES, INC. 1977 . IMSL Library 1, Reference Manual Houston , Tex
   Google Scholar
• Knuth , D. E. 1969 . The Art of Computer Programming—Volume 2 , Reading , Mass. : Addison-Wesley .
   Google Scholar
• Lawless , Jerald F. 1978 . “Ridge and Related Estimation Procedures: Theory and Practice,” . Communications in Statistics , 7 : 139 – 163 .
   Google Scholar
• Lawless , Jerald F. and Wang , P. 1976 . “A Simulation Study of Ridge and Other Regression Estimators,” . Communications in Statistics , 5 : 307 – 323 .
   Google Scholar
• Lindley , Dennis V. and Smith , A. F. M. 1972 . “Bayes Estimates for the Linear Model,” . Journal of the Royal Statistical Society , 34 : 1 – 41 . Ser. B
   Google Scholar
• Mayer , Lawrence S. and Willke , Thomas A. 1975 . “On Biased Estimation in Linear Models,” . Technometrics , 15 : 497 – 508 .
   Web of Science ®Google Scholar
• McDonald , Gary C. 1980 . “Some Algebraic Properties of Ridge Coefficients,” . Journal of the Royal Statistical Society , 42 : 31 – 34 . Ser. B
   Google Scholar
• McDonald , Gary C. and Galarneau , Diane I. 1975 . “A Monte Carlo Evaluation of Some Ridge-Type Estimators,” . Journal of the American Statistical Association , 70 : 407 – 416 .
   Web of Science ®Google Scholar
• Newhouse , Joseph P. and Oman , Samuel D. 1971 . “An Evaluation of Ridge Estimators,” 1 – 28 . Rand Report No. R–716–PR
   Google Scholar
• Obenchain , Robert L. 1975 . “Ridge Analysis Following a Preliminary Test of the Shrunken Hypothesis,” . Technometrics , 17 : 431 – 441 .
   Web of Science ®Google Scholar
• Press , James S. 1972 . Applied Multivariate Analysis , New York : Holt, Rinehart & Winston .
   Google Scholar
• Theobald , C. M. 1974 . “Generalizations of Mean Square Error Applied to Ridge Regression,” . Journal of the Royal Statistical Society , 36 : 103 – 106 . Ser. B
   Google Scholar
• Thisted , Ronald A. 1976 . “Ridge Regression, Minimax Estimation, and Empirical Bayes Methods,” , Stanford University, Division of Biostatistics . Technical Report No. 28
   Google Scholar
• Wahba , Grace . 1976 . “A Survey of Some Smoothing Problems and the Method of Cross Validation for Solving Them,” , University of Wisconsin, Dept. of Statistics . Report No. 457
   Google Scholar
• Wichern , Dean W. and Churchill , Gilbert A. 1978 . “A Comparison of Ridge Estimators,” . Technometrics , 20 : 301 – 311 .
   Web of Science ®Google Scholar