35
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On ridge estimation in rank deficient models

On ridge estimation

Pages 187-192 | Received 01 May 1977, Published online: 27 Jun 2007

References

  • Albert , A. 1972 . Regression and the Moore-Penrose Pseudoinverse , New York : Academic Press .
  • Barnard, G. A. (1974). On ridge regression and general principles of estimation (mimeographed),
  • Bouillon , T. L. and Odell , P. L. 1971 . Generalized Inverse Matrices , New York : John Wiley and Sons .
  • Chipman , J. S. 1964 . On least squares with insufficient observations . J, Amer, Statist, Assoc , 59 : 1073 – 1111 .
  • Goldstein , M. and Smith , A. F. M. 1974 . Ridge type estimators for regression analysis . J, R. Statist. Soc, B , 36 : 284 – 91 .
  • Hocking , R. R. 1976 . The analysis and selection of variables in linear regression . Biometrics , 32 : 1 – 50 .
  • Hoerl , A. E. and Kennard , R. W. 1970 . Ridge regression: Biased estimation for nonorthogonal problems . Technometrics , 12 : 55 – 68 .
  • Hoerl , A. F. and Kennard , R. W. 1970 . Ridge regression: Applications to nonorthogonal problems . Technometrics , 12 : 69 – 82 .
  • Kruskal , W. 1975 . The geometry of generalized inverses . J, R. Statist. Soc , 37 : 272 – 83 .
  • Lewis , T. 0. and Odell , P. L. 1968 . A generalization of the Gauss-Markov theorem . J, Aroer, Statist, Assoc , 61 : 1663 – 66 .
  • Lindley , D. V. and Smith , A. F. M. 1972 . Bayes estimates for the linear model (with discussion) . J, R, Statist, Soc. B , 34 : 1 – 41 .
  • Marquardt , D. W. 1970 . Generalized inverses, ridge regression, biased linear estimation and non-linear estimation . Technometrics , 12 : 591 – 612 .
  • Rao , C. R. 1971 . Unified theory of linear estimation . Sankhya A , 33 : 371 – 94 .
  • Rao , C. R. 1973 . New York : John Wiley and Sons .
  • Rao , C. R. 1975 . Simultaneous estimation of parameters In different linear models and applications to biometric problems . Biometrics , 31 : 545 – 55 .
  • Rao , C. R. 1976 . Estimation of parameters In a linear model . Ann, Statist , 4 : 1023 – 3 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.