Skip to main content

Speeding up the Computation of the Least Quartile Difference Estimator

  • Conference paper
Book cover COMPSTAT

Abstract

We propose modified p-subset algorithms for computing the least quartile difference and least trimmed difference estimates in a multiple linear regression model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Berrendero, J.R. & Romo, J. (1996). Stability under contamination of robust regression estimators based on difference of residuals. Working paper 96–64, Statistics and Econometric Series 18, Universidad Carlos III de Madrid.

    Google Scholar 

  • Croux, C. & Rousseeuw, P.J., (1992). Time-Efficient Algorithms for Two Highly Robust Estimators of scale. In: Computational Statistics, Vol. 1, 411–428. Heidelberg: Physica Verlag.

    Google Scholar 

  • Croux, C. & Rousseeuw, P.J., (1994). High breakdown regression by minimization of a scale estimator. In: COMPSTAT 1994: Proceedings in Computational Statistics, 245–250. Heidelberg: Physica Verlag.

    Google Scholar 

  • Croux, C., Rousseeuw, P.J. & Hössjer, O. (1994). Generalized S-estimators. Journal of the American Statistical Society, 89, 1271–1281.

    MATH  Google Scholar 

  • Rousseeuw, P.J. (1984). Least median of squares regression. Journal of the American Statistical Society, 79, 871–880.

    MathSciNet  MATH  Google Scholar 

  • Rousseeuw, P.J. & Croux, C. (1992). Explicit scale estimators with high breakdown point. In: L 1-Statistical Analysis and Related Methods, 77–92. Amsterdam: North-Holland.

    Google Scholar 

  • Rousseeuw, P.J. & Leroy, A. (1987). Robust regression and outlier detection. New York: Wiley.

    Book  MATH  Google Scholar 

  • Stromberg, A.J., Hawkins, D. & Hossjer, O. (1995). The Least Trimmed Differences Regression Estimator and Alternatives. Tech. report 1995:26, Dept. Mathematical Statistics, Lund University.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Agulló, J. (1998). Speeding up the Computation of the Least Quartile Difference Estimator. In: Payne, R., Green, P. (eds) COMPSTAT. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-01131-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-01131-7_15

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1131-5

  • Online ISBN: 978-3-662-01131-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics