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dc.contributor.author
Boente Boente, Graciela Lina
dc.contributor.author
Vahnovan, Alejandra Valeria
dc.date.available
2018-08-15T11:14:46Z
dc.date.issued
2017-02
dc.identifier.citation
Boente Boente, Graciela Lina; Vahnovan, Alejandra Valeria; Robust estimators in semi-functional partial linear regression models; Elsevier Inc; Journal Of Multivariate Analysis; 154; 2-2017; 59-84
dc.identifier.issn
0047-259X
dc.identifier.uri
http://hdl.handle.net/11336/55556
dc.description.abstract
Partial linear models have been adapted to deal with functional covariates to capture both the advantages of a semi-linear modelling and those of nonparametric modelling for functional data. It is easy to see that the estimation procedures for these models are highly sensitive to the presence of even a small proportion of outliers in the data. To solve the problem of atypical observations when the covariates of the nonparametric component are functional, robust estimates for the regression parameter and regression operator are introduced. Consistency results of the robust estimators and the asymptotic distribution of the regression parameter estimator are studied. The reported numerical experiments show that the resulting estimators have good robustness properties. The benefits of considering robust estimators is also illustrated on a real data set where the robust fit reveals the presence of influential outliers.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Inc
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Functional Data
dc.subject
Kernel Smoothers
dc.subject
Partial Linear Models
dc.subject
Robust Estimation
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Robust estimators in semi-functional partial linear regression models
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T14:00:32Z
dc.journal.volume
154
dc.journal.pagination
59-84
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Boente Boente, Graciela Lina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Vahnovan, Alejandra Valeria. Facultad de Ciencias Exactas, Universidad Nacional de la Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal Of Multivariate Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmva.2016.10.005
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0047259X16301178?via%3Dihub
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