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Abstract:

Robust nonparametric equivariant M-estimators for the regression function have been extensively studied when the covariates are in Rk. In this paper, we derive strong uniform convergence rates for kernel-based robust equivariant M-regression estimator when the covariates are functional. © 2015 Elsevier B.V.

Registro:

Documento: Artículo
Título:Strong convergence of robust equivariant nonparametric functional regression estimators
Autor:Boente, G.; Vahnovan, A.
Filiación:Departamento de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS, CONICET, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional de La Plata and CONICET, Calle, La Plata, 50 y 115, Argentina
Palabras clave:Functional data; Kernel weights; M-location functionals; Robust estimation
Año:2015
Volumen:100
Página de inicio:1
Página de fin:11
DOI: http://dx.doi.org/10.1016/j.spl.2015.01.028
Título revista:Statistics and Probability Letters
Título revista abreviado:Stat. Probab. Lett.
ISSN:01677152
CODEN:SPLTD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01677152_v100_n_p1_Boente

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Citas:

---------- APA ----------
Boente, G. & Vahnovan, A. (2015) . Strong convergence of robust equivariant nonparametric functional regression estimators. Statistics and Probability Letters, 100, 1-11.
http://dx.doi.org/10.1016/j.spl.2015.01.028
---------- CHICAGO ----------
Boente, G., Vahnovan, A. "Strong convergence of robust equivariant nonparametric functional regression estimators" . Statistics and Probability Letters 100 (2015) : 1-11.
http://dx.doi.org/10.1016/j.spl.2015.01.028
---------- MLA ----------
Boente, G., Vahnovan, A. "Strong convergence of robust equivariant nonparametric functional regression estimators" . Statistics and Probability Letters, vol. 100, 2015, pp. 1-11.
http://dx.doi.org/10.1016/j.spl.2015.01.028
---------- VANCOUVER ----------
Boente, G., Vahnovan, A. Strong convergence of robust equivariant nonparametric functional regression estimators. Stat. Probab. Lett. 2015;100:1-11.
http://dx.doi.org/10.1016/j.spl.2015.01.028