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Original Articles

A Comparison of Mixed and Ridge Estimators of Linear Models

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Pages 368-401 | Received 24 May 2007, Accepted 25 Sep 2008, Published online: 11 Dec 2008

References

  • Aitken , A. C. ( 1935 ). On least squares and linear combinations of observations . Proceedings of the Royal Society of Edinburgh 55 : 42 – 48 .
  • Bayhan , G. M. , Bayhan , M. ( 1998 ). Forecasting using autocorrelated errors and multicollinear predictor variables . Computers ind. Engng. 34 ( 2 ): 413 – 421 .
  • Belsley , D. A. , Kuh , E. , Welsch , R. E. ( 2004 ). Regression Diagnostics, Identifying Influental Data and Sources of Collinearity . New Jersey : Wiley-Interscience .
  • Dhrymes , P. J. ( 1974 ). Econometrics . New York : Springer .
  • Farebrother , R. W. ( 1976 ). Further results on the mean square error of ridge regression . Journal of the Royal Statistical Society, Series B (Methodological) 38 ( 3 ): 248 – 250 .
  • Goldberger , A. S. ( 1962 ). Best linear unbiased prediction in the generalized regression model . Journal of the American Statistical Association 57 : 369 – 375 .
  • Gosling , B. J. , Hsu , J. J. , Puterman , M. L. ( 1982 ). Ridge Estimation in Regression Problems with Autocorrelated Errors . Working paper no. 810. Faculty of Commerce and Business Administration . Vancouver : University of British Columbia .
  • Griffiths , W. E. , Hill , R. C. , Judge , G. C. ( 1993 ). Learning and Practicing Econometrics . New York : John Wiley & Sons Inc.
  • Hoerl , A. E. , Kennard , R. W. ( 1970 ). Ridge regression: biased estimation for non-orthogonal problems . Technometrics 12 : 55 – 67 .
  • Hoerl , A. E. , Kennard , R. W. , Baldwin , K. F. ( 1975 ). Ridge regression: some simulation . Communications in Statistics 5 : 105 – 123 .
  • Judge , G. C. , Griffiths , W. E. , Hill , R. C. , Lütkepohl , H. , Lee , T. C. ( 1985 ). The Theory and Practice of Econometrics. , 2nd ed. New York : John Wiley & Sons .
  • Judge , G. C. , Hill , R. C. , Griffiths , W. E. , Lütkepohl , H. , Lee , T. C. ( 1988 ). Introduction to the Theory and Practice of Econometrics. , 2nd ed. New York : John Wiley & Sons .
  • Kibria , B. M. G. ( 2003 ). Performance of some new ridge regression estimators . Communications in Statistics, Simulation and Computation 32 ( 2 ): 419 – 435 .
  • Lee , B. M. S. , Trivedi , P. K. ( 1982 ). Error misspecification and properties of the simple ridge estimator . Commun. Statist., Theor. Meth. 11 ( 14 ): 1615 – 1624 .
  • McDonald , G. C. , Galarneau , D. I. ( 1975 ). A Monte Carlo evaluation of some ridge-type estimators . Journal of the American Statistical Association 70 : 407 – 416 .
  • Montgomery , D. C. , Peck , E. A. , Vining , G. G. (2001). Introduction to Linear Regression Analysis. , 3rd ed.New York : John Wiley & Sons.
  • Newhouse , J. P. , Oman , S. D. ( 1971 ). An evaluation of ridge estimators . Rand Corporation P-716-PR .
  • Rao , C. R. , Toutenburg , H. ( 1995 ). Linear Models-Least Squares and Alternatives . New York : Springer Verlag .
  • Smith , G. , Campbell , F. ( 1980 ). A critique of some ridge regression methods . Journal of the American Statistical Association 75 : 74 – 81 .
  • Theil , H. ( 1963 ). On the use of incomplete prior information in regression analysis . Journal of the American Statistical Society 58 : 401 – 414 .
  • Theil , H. ( 1971 ). Principles of Econometrics . New York : John Wiley & Sons .
  • Theil , H. , Goldberger , A. S. ( 1961 ). On pure and mixed statistical estimation in economics . International Economic Review 2 ( 1 ): 65 – 78 .
  • Toutenburg , H. ( 1982 ). Prior Information in Linear Models . New York : John Wiley & Sons .
  • Trenkler , G. ( 1984 ). On the performance of biased estimators in the linear regression model with correlated or heteroscedastic errors . Journal of Econometrics 25 : 179 – 190 .

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