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

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.

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Download references

1. Departamento de Matemáticas, Univ. Autónoma de Madrid, Madrid, Spain

   Antonio Cuevas

2. Departamento de Estatística e Inv. Operativa, Univ. de Santiago de Compostela, Santiago de Compostela, Spain

   Manuel Febrero

3. Departamento de Matemática, Univ. de San Andrés, Buenos Aires, Argentina

   Ricardo Fraiman

1. Antonio Cuevas
2. Manuel Febrero
3. Ricardo Fraiman

Correspondence to Antonio Cuevas.

Research partially supported by Spanish grants MTM2004-00098 (A. Cuevas and R. Fraiman) and MTM2005-00820 (M. Febrero).

Cuevas, A., Febrero, M. & Fraiman, R. Robust estimation and classification for functional data via projection-based depth notions. Computational Statistics 22, 481–496 (2007). https://doi.org/10.1007/s00180-007-0053-0

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• Published: 21 March 2007

• Issue Date: September 2007

• DOI: https://doi.org/10.1007/s00180-007-0053-0

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