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Original Articles

Finite sample stability properties of the least median of squares estimator

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Pages 371-383 | Received 13 Feb 1996, Published online: 02 May 2007

References

  • Coakley , C.W. and Hettmansperger , T.P. 1993 . A Bounded Influence, High Breakdown, Efficient Regression Estimator . The Journal of the American Statistical Association , 88 : 872
  • Croux , C. , Rousseeuw , P.J. and Hossjer , O. 1994 . Generalized S-Estimators . The Journal of the American Statistical Association , 89 : 1271
  • Davies , P.L. 1993 . Aspects of Robust Linear Regression . The Annals of Statistics , 21 : 1843
  • Hampel , F.R. 1975 . Beyond Location Parameters:Robust Concepts and Methods . Bull. Int. Stat. Inst , 46 : 375
  • Hettmansperger , T.P. and Sheather , S.J. 1992 . A cautionary note on the method of least median squares . The American Statistician , 46 : 79
  • Hettmansperger , T.P. and Sheather , S.J. 1993 . Reply to Comment by Appa and Land on “A cautionary note on the method of least median squares” . The American Statistician , 47 : 161
  • Rousseeuw , P.J. 1984 . Least Median Squares Regression . The Journal of the American Statistical Association , 79 : 871
  • Rousseeuw , P.J. 1994 . Unconventional Featuresof Positive-Breakdown Estimators . Statistics and Probability Letters , 19 : 417
  • Rousseeuw , P.J. and LeRoy , A.M. 1987 . Robust Regression and Outlier Detection , New York : John Wiley and Sons .
  • Rousseeuw , P.J. and van Zomeren , B.C. 1990 . Unmasking multivariate outliers and leverage points . The Journal of the American Statistical Association , 85 : 633
  • Simpson , D.G. , Ruppert , D. and Carroll , R.J. 1992 . On One-Step GM Estimates and Stability of Inference in Linear Regression . The Journal of the American Statistical Association , 87 : 439
  • Stromberg , A.J. 1993 . Computing the exact least median of squares estimate and stability diagnostics in multiple linear regression . SIAM Journal of Scientific Computing , 14 : 1289

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