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Theory and Method

Two Robust Alternatives to Least-Squares Regression

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Pages 828-833 | Received 01 Jun 1976, Published online: 05 Apr 2012

References

  • Andrews , David F. , Bickel , Peter J. , Hampel , Frank R. , Huber , Peter J. , Rogers , William H. and Tukey , John W. 1972 . Robust Estimates of Location , Princeton , N.J. : Princeton University Press .
  • Andrews , David F. , Bickel , Peter J. , Hampel , Frank R. , Huber , Peter J. , Rogers , William H. and Tukey , John W. 1973 . “Some Monte Carlo Results on Robust/Resistant Regression,” (unpublished)
  • Andrews , David F. , Bickel , Peter J. , Hampel , Frank R. , Huber , Peter J. , Rogers , William H. and Tukey , John W. 1974 . “A Robust Method for Multiple Linear Regression,” . Technometrics , 16 : 523 – 531 .
  • Beaton , Albert E. and Tukey , John W. 1974 . “The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectro-scopic Data,” . Technometrics , 16 : 147 – 185 .
  • Hampel , Frank R. 1973 . “Robust Estimation: A Condensed Partial Survey,” . Zeitschrift Wahrscheinlichkeitstheorie , 27 : 87 – 104 .
  • Hinich , Melvin J. and Talwar , P. O. 1975 . “A Simple Method for Robust Regression,” . Journal of the American Statistical Association , 70 : 113 – 119 .
  • Holland , Paul W. 1973 . “Monte Carlo for Robust Regression: the Swindle Unmasked,” , Cambridge , Mass. : National Bureau of Economic Research . NBER Working Paper No. 10
  • Huber , Peter J. 1972 . “Robust Statistics: a Review,” . Annals of Mathematical Statistics , 43 : 1041 – 1067 .
  • Huber , Peter J. 1973 . “Robust Regression: Asymptotics, Conjectures and Monte Carlo,” . Annals of Statistics , 1 : 799 – 821 .
  • Kendall , Maurice G. and Stuart , A. 1963 . The Advanced Theory of Statistics, , 2nd ed. , Vol. 1 , New York : Hafner Press .
  • Knuth , D. 1969 . The Art of Computer Programming , Vol. 8 , Reading , Mass. : Addison-Wesley Publishing Co. .
  • Marsaglia , George Ananthanarayanan K. and Paul , N. 1973 . McGill Random Number Package “Super Duper” (computer deck plus documentation) , Toronto : McGill University .
  • Schlossmacher , E. J. 1973 . “An Iterative Technique for Absolute Deviations Curve Fitting,” . Journal of the American Statistical Association , 68 : 857 – 865 .
  • TROLL . 1974 . TROLL Experimental Programs: Interactive Data Analysis, Econometrics, and Numerical Methods , Cambridge , Mass. : Computer Research Center for Economics and Management Science, National Bureau of Economic Research .
  • Tukey , John W. 1973 . “A Way Forward for Robust Regression,” (unpublished)
  • Welsch , Roy E. “Confidence Regions for Robust Regression,” . Proceedings of the American Statistical Association, Statistical Computing Section.

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