31
Views
35
CrossRef citations to date
0
Altmetric
Theory and Method

The Use and Interpretation of Residuals Based on Robust Estimation

, &
Pages 1254-1263 | Received 01 Jan 1990, Published online: 27 Feb 2012

References

  • Atkinson , A. C. 1985 . Plots, Transformations, and Regression , New York : Oxford University Press .
  • 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 .
  • Cook , R. D. , Hawkins , D. M. and Weisberg , S. 1992 . “Comparison of Model Misspecification Diagnostics Using Residuals from Least Mean of Squares and Least Median of Squares Fits,” . Journal of the American Statistical Association , 87 : 419 – 424 .
  • Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , New York : Chapman & Hall .
  • Draper , N. R. and Smith , H. 1966 . Applied Regression Analysis , New York : John Wiley .
  • Hajek , J. and Sidak , Z. 1967 . Theory of Rank Statistics , New York : Academic Press .
  • Handschin , E. , Kohlas , J. , Fiechter , A. and Schweppe , F. 1975 . “Bad Data Analysis for Power System State Estimation,” . IEEE Transactions on Power Apparatus Systems , 2 : 329 – 337 .
  • Huber , P. J. 1973 . “Robust Regression: Asymptotics, Conjectures, and Monte Carlo,” . The Annals of Statistics , 1 : 799 – 821 .
  • Li , K. C. and Duan , D. 1989 . “Regression Analysis Under Link Violation,” . The Annals of Statistics , 17 : 1009 – 1052 .
  • Mallows , C. L. 1975 . “On Some Topics of Robustness,” , Murray Hill , NJ : Bell Telephone Laboratories . technical report
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. 1990 . “Regression Diagnostics for Rank-Based Methods,” . Journal of the American Statistical Association , 85 : 1018 – 1028 .
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. 1991 . “The Use and Interpretation of Residuals Based on Robust Estimation,” , University of New South Wales, Australian Graduate School of Management . Working Paper 91-021
  • McKean , J. W. , Sheather , S. J. and Hettmansperger , T. P. 1992 . “Robust and High-Breakdown Fits of Polynomial Models,” , University of New South Wales, Australian Graduate School of Management . Working Paper 92–017
  • Myers , R. H. 1990 . Classical and Modern Regression Analysis with Applications, , 2nd ed. , Boston : PWS-Kent .
  • Rousseeuw , P. J. 1984 . “Least Median Squares Regression,” . Journal of the American Statistical Association , 79 : 871 – 880 .
  • Rousseeuw , P. J. and LeRoy , A. M. 1987 . Robust Regression and Outlier Detection , New York : John Wiley .
  • Rousseeuw , P. J. and van Zomeren , B. C. 1990 . “Unmasking Multivariate Outliers and Leverage Points,” . Journal of the American Statistical Association , 85 : 633 – 639 .
  • Simpson , D. G. , Ruppert , D. and Carroll , R. J. 1992 . “On One-Step GM Estimates and Stability of Inference in Linear Regression,” . Journal of the American Statistical Association , 87 : 439 – 450 .
  • Spence , I. and Garrison , R. F. 1993 . “A Remarkable Scatterplot,” . The American Statistician , 47 : 12 – 19 .

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.