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Computational Statistics

, Volume 22, Issue 3, pp 481–496 | Cite as

Robust estimation and classification for functional data via projection-based depth notions

  • Antonio CuevasEmail author
  • Manuel Febrero
  • Ricardo Fraiman
Original Paper

Abstract

Five notions of data depth are considered. They are mostly designed for functional data but they can be also adapted to the standard multivariate case. The performance of these depth notions, when used as auxiliary tools in estimation and classification, is checked through a Monte Carlo study.

Keywords

Depth measures Functional data Projections method Supervised classification 

Mathematics Subject Classification (2000)

Primary 62G07 Secondary 62G20 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Antonio Cuevas
    • 1
    Email author
  • Manuel Febrero
    • 2
  • Ricardo Fraiman
    • 3
  1. 1.Departamento de MatemáticasUniv. Autónoma de MadridMadridSpain
  2. 2.Departamento de Estatística e Inv. OperativaUniv. de Santiago de CompostelaSantiago de CompostelaSpain
  3. 3.Departamento de MatemáticaUniv. de San AndrésBuenos AiresArgentina

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