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Original Articles

Selecting the optimum k in ridge regression

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Pages 1589-1604 | Received 01 Aug 1983, Published online: 22 Nov 2007

References

  • Baldwin , K.F. and Hoerl , A.E. 1978 . Bounds on minimum mean squared error in Ridge regression . Communications in Statistics , A7 : 1209 – 1218 .
  • Dahlquist , G. and BjöBrck , A. 194 . Numerical Methods , Englewood Cliffs, New Jersey : Prentice-Hall .
  • Gibbons , D.G. 1981 . A simulation study of some Ridge estimators . Journal of the American Statistical Association , 76 : 131 – 139 .
  • Gorman , J.W. and Toman , R.J. 1966 . Selection of variables for fitting equations to data . Technometrics , 8 : 27 – 51 .
  • Gunst , R.F. 1983 . Regression analysis with multicollinear predictor variables: definition, detection, and effects . Communications in Statistics , A12 : 2217 – 2260 .
  • Hald , A. 1952 . Statistical Theory with Engineering Applications , New York : John Wiley and Sons .
  • Hoerl , A.E. and Kennard , R.W. 1970a . Ridge regression: biased estimation for nonorthogonal problems . Technometrics , 42 : 55 – 67 .
  • Hoerl , A.E. and Kennard , R.W. 1970b . Ridge regression: biased estimation for 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 .
  • Lawless , J.F. 1978 . Ridge and related estimation procedures: theory and practice . Communications in Statistics , 7 : 139 – 163 .
  • Lawless , J.F. and Wang , P. 1976 . A simulation study of Ridge and other regression estimators . Communications in Statistics , 5 : 307 – 323 .
  • Mansfield , E.R. and Helms , B.P. 1982 . The American Statistician , 36 : 158 – 160 .
  • McDonald , G.C. and Schwing , R.W. 1973 . Instability of regression estimates relating air pollution to mortality . Technometrics , 15 : 463 – 481 .
  • Montgomery , D.C. and Peck , E.A. 1982 . Introduction to Linear Regression Analysis , New York : John Wiley and Sons .
  • Nordberg , L. 1982 . A procedure for determination of a good Ridge parameter in linear regression . Communications in Statistics , B11 : 285 – 309 .
  • Pagel , M.D. 1981 . Comment on Hoerl and Kennard's Ridge Regression simulation methodology . Communications in Statistics , A10 : 2361 – 2367 .
  • Postnikov , M.M. 1962 . Fundamentals of Galois Theory , Groningen, The Netherlands : P. Noordhoff,Ltd .
  • Wilkinson , J.H. 1971 . Modern error analysis . SIAM Journal of Review , 13 : 548 – 568 .

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