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Sparse partial robust M regression

Author

Listed:
  • I Hoffmann
  • S Serneels
  • P Filzmoser
  • Christophe Croux

Abstract

Sparse partial robust M regression is introduced as a new regression method. It is the first dimension reduction and regression algorithm that yields estimates with a partial least squares alike interpretability that are sparse and robust with respect to both vertical outliers and leverage points. A simulation study underpins these claims. Real data examples illustrate the validity of the approach.

Suggested Citation

  • I Hoffmann & S Serneels & P Filzmoser & Christophe Croux, 2015. "Sparse partial robust M regression," Working Papers of Department of Decision Sciences and Information Management, Leuven 500107, KU Leuven, Faculty of Economics and Business (FEB), Department of Decision Sciences and Information Management, Leuven.
  • Handle: RePEc:ete:kbiper:500107
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    File URL: https://lirias.kuleuven.be/retrieve/322719
    File Function: Sparse partial robust M regression
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