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Theory and Method

A Confidence Bound Approach to Choosing the Biasing Parameter in Ridge Regression

Pages 452-461 | Published online: 12 Mar 2012

References

  • Berger , J. O. 1976 . “Tail Minimaxity in Location Vector Problems and Its Applications” . Annals of Statistics , 4 : 33 – 50 .
  • Bingham , C. and Larntz , K. 1977 . “Comment” . Journal of the American Statistical Association , 72 : 97 – 102 . (on Dempster, Schatzoff, and Wermuth 1977)
  • Dempster , A. P. , Schatzoff , M. and Wermuth , N. 1977 . “A Simulation Study of Alternatives to Ordinary Least Squares” . Journal of the American Statistical Association , 72 : 77 – 106 .
  • Fron , F. B.H. and Morris , C. 1977 . “Comment” (on Dempster, Schatzoff, and Wermuth 1977) . Journal of the American Statistical Association , 72 : 91 – 93 .
  • Farebrother , R. W. 1975 . “The Minimum Mean Square Error Linear Estimator and Ridge Regression” . Technometrics , 17 : 127 – 128 .
  • Farebrother , R. W. 1976 . “Futher Results on the Mean Square Error of Ridge Regression” . Journal of the Royal Statistical Society , 38 : 248 – 250 . Ser. B
  • Gorman , J. W. and Toman , R. J. 1966 . “Selection of Variables for Fitting Equations to Data” . Technometrics , 8 : 27 – 51 .
  • Guilkey , U. K. and Murphy , J. L. 1975 . “Directed Ridge Regression Techniques in Cases of Multicollinearity” . Journal of the American Statistical Association , 70 : 769 – 775 .
  • Hocking , R. R. 1976 . “The Analysis and Selection of Variables in Linear Regression” . Biometrics , 32 : 1 – 49 .
  • Hoerl , A. E. 1962 . “Application of Ridge Analysis to Regression Problems” . Chemical Engineering Progress , 58 : 54 – 59 .
  • Hoerl , A. E. and Kennard , R. W. 1970a . “Ridge Regression: Biased Estimation for Nonorthogonal Problems” . Technometrics , 12 : 55 – 67 .
  • Hoerl , A. E. and Kennard , R. W. 1970b . “Ridge Regression: Application to Nonorthogonal Problems” . Technometrics , 12 : 69 – 82 .
  • Hoerl , A. E. , Kennard , R. W. and Baldwin , K. F. 1975 . “Ridge Regression: Some Simulations” . Communications in Statistics , 4 : 105 – 123 .
  • Ling , R. F. 1974 . “Comparison of Several Algorithms for Computing Sample Means and Variances” . Journal of the American Statistical Association , 69 : 859 – 866 .
  • McCabe , G. P. Jr. 1978 . “Evaluation of Regression Coefficient Estimates Using α-Acceptability” . Technometrics , 20 : 131 – 139 .
  • McDonald , G. C. and Galarneau , D. I. 1975 . “A Monte Carlo Evaluation of Some Ridge-Type Estimators” . Journal of the American Statistical Association , 70 : 407 – 416 .
  • McDonald , G. C. and Schwing , R. C. 1973 . “Instabilities of Regression Estimates Relating Air Pollution to Mortality” . Technometrics , 15 : 463 – 481 .
  • Newhouse , J. P. and Oman , S. D. 1971 . “An Evaluation of Ridge Estimators” Rand Report R-716-PR
  • Obenchain , R. L. 1975 . “Ridge Analysis Following a Preliminary Test of a Shrunken Hypothesis” . Technometrics , 17 : 431 – 441 .
  • Patnaik , P. B. 1949 . “The Noncentral χ2 and F-distributions and Their Applications” . Biometrika , 36 : 202 – 232 .
  • Thisted , R. A. 1976 . “Ridge Regression Minimax Estimation and Empirical Bayes Methods” , Stanford University, Division of Biostatistics . Technical Report No. 28

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