The Special Case of One-Dimensional Location

  1. Peter J. Rousseeuw,
  2. Annick M. Leroy

Published Online: 28 JAN 2005

DOI: 10.1002/0471725382.ch4

Robust Regression and Outlier Detection

Robust Regression and Outlier Detection

How to Cite

Rousseeuw, P. J. and Leroy, A. M. (2005) The Special Case of One-Dimensional Location, in Robust Regression and Outlier Detection, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471725382.ch4

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 19 OCT 1987

ISBN Information

Print ISBN: 9780471852339

Online ISBN: 9780471725381

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Keywords:

  • regression analysis;
  • location;
  • univariate location estimates;
  • location equivariance;
  • scale estimator

Summary

This chapter includes the following topics:

  • Location as a Special Case of Regression

  • The LMS and the LTS in One Dimension

  • Use of the Program PROGRESS

  • Asymptotic Properties

  • Breakdown Points and Averaged Sensitivity Curves

  • Exercises and Problems