18
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

One-step GM-estimators for orthogonal refression

Pages 301-309 | Received 05 Jul 1994, Published online: 20 Mar 2007

References

  • Abdullah , M.B. 1989 . On W-Estimators of a Linear Functional Relationship . Communications in Statistics, Theory and Methods , 18 : 287 – 314 .
  • Amman , L. and Van Ness , J. 1989 . Standard and Robust Orthogonal Regression . Communications in Statistics, Simulation and Computation , 18 : 145 – 162 .
  • Brown , M.L. 1982 . Robust Line Estimation with Errors in Both Variables . Journal of The American Statistical Association , 77 : 71 – 79 .
  • Cheng , C.L. and Van Ness , . 1992 . Generalised M-Estimators for Errors-in-Variables Regression . The Annals of Statistics , 77 : 385 – 397 .
  • Coakley , C.W. and Hettmansperger , T.P. 1993 . A Bounded Influence, High Breakdown, Efficient Regression estimator . Journal of the American Statistical Association , 88 : 872 – 880 .
  • Donoho , D.L. and Huber , P.J. 1983 . “ The Notion of Breakdown Point ” . In A Festschrift for Erich Lehmann , Edited by: Bickel , P. , Doksum , K. , Hodges , J.L. Jr and Belmont , . CA : Wardsworth .
  • Efron , B. 1979 . Bootstrap Methods: another look at the Jackknife . Annals of Statistics , 7 : 1 – 26 .
  • Efron , B. and Tibshirani , R.J. 1993 . An Introduction to the Bootstrap , Newyork : Chapman and Hall .
  • Hampel , F.R. , Ronchetti , E.M. , Rousseeuw , P.J. and Stahel , W.A. 1986 . Robust Statistics: The Approach Based on Infiluence Functions , Newyork : Wiley .
  • Huber , P.J. 1973 . Robust estimation: Asymptotics, Conjectures and Monte Carlo . The Annals of Mathematical Statistics , 35 : 73 – 101 .
  • Huber , P.J. 1981 . Robust Statistics , Newyork : John wiley & Sons .
  • Kendall , M.G. and Stuart , A. 1973 . The Advanced Theory of Statistics , London : Griffin .
  • Krasker , W.S. and Welson , R.E. 1982 . Efficient Bounded-Influence Regression Estimation . Journal of the American Statistical Association , 77 : 595 – 604 .
  • Rousseuw , P.J. 1984 . Least Median of Squares Regression . Journal of the American Statistical Association , 79 : 871 – 880 .
  • Rousseeuw , P.J. and Croux , C. 1994 . The bias of k-step M-estimators . Statistics and Probability Letters , 20 : 411 – 420 .
  • Rousseuw , P.J. and Leroy , A. 1987 . Robust Regression and Outlier Detection , Newyork : Wiley .
  • Simpson , D.G. , Ruppert , D. and Carroll , R.J. 1992 . On One Step estimates and Stability of Inferences in Linear Regression . Journal of the American Statistical Association , 87 : 439 – 450 .
  • Sprent , P. 1966 . A generalised least squares approach to linear functional relationships . Journal of Royal statistical Society B , 28 : 278 – 297 .
  • Wellman , J.M. and Gunst , R.F. 1991 . Influence diagnostics for linear measurement error models . Biometrika , 78 : 373 – 380 .
  • Zamar , R.H. 1989 . Robust estimation in the errors in variables model . Biometrika , 76 : 149 – 160 .

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.