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Abstract:

In partly linear models, the dependence of the response y on (x T, t) is modeled through the relationship y=x Tβ+g(t)+ε{lunate}, where ε{lunate} is independent of (x T, t). We are interested in developing an estimation procedure that allows us to combine the flexibility of the partly linear models, studied by several authors, but including some variables that belong to a non-Euclidean space. The motivating application of this paper deals with the explanation of the atmospheric SO 2 pollution incidents using these models when some of the predictive variables belong in a cylinder. In this paper, the estimators of β and g are constructed when the explanatory variables t take values on a Riemannian manifold and the asymptotic properties of the proposed estimators are obtained under suitable conditions. We illustrate the use of this estimation approach using an environmental data set and we explore the performance of the estimators through a simulation study. © 2012 Copyright Taylor and Francis Group, LLC.

Registro:

Documento: Artículo
Título:Partly linear models on Riemannian manifolds
Autor:Gonzalez-Manteiga, W.; Henry, G.; Rodriguez, D.
Filiación:Departmento de Estadistica e Investigacion Operativa, Universidad de Santiago de Compostela, Santiago de Compostela, Spain
Departmento de Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and CONICET, CABA, Argentina
Palabras clave:environmental data; hypothesis test; non-parametric estimation; partly linear models; Riemannian manifolds
Año:2012
Volumen:39
Número:8
Página de inicio:1797
Página de fin:1809
DOI: http://dx.doi.org/10.1080/02664763.2012.683169
Título revista:Journal of Applied Statistics
Título revista abreviado:J. Appl. Stat.
ISSN:02664763
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02664763_v39_n8_p1797_GonzalezManteiga

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Citas:

---------- APA ----------
Gonzalez-Manteiga, W., Henry, G. & Rodriguez, D. (2012) . Partly linear models on Riemannian manifolds. Journal of Applied Statistics, 39(8), 1797-1809.
http://dx.doi.org/10.1080/02664763.2012.683169
---------- CHICAGO ----------
Gonzalez-Manteiga, W., Henry, G., Rodriguez, D. "Partly linear models on Riemannian manifolds" . Journal of Applied Statistics 39, no. 8 (2012) : 1797-1809.
http://dx.doi.org/10.1080/02664763.2012.683169
---------- MLA ----------
Gonzalez-Manteiga, W., Henry, G., Rodriguez, D. "Partly linear models on Riemannian manifolds" . Journal of Applied Statistics, vol. 39, no. 8, 2012, pp. 1797-1809.
http://dx.doi.org/10.1080/02664763.2012.683169
---------- VANCOUVER ----------
Gonzalez-Manteiga, W., Henry, G., Rodriguez, D. Partly linear models on Riemannian manifolds. J. Appl. Stat. 2012;39(8):1797-1809.
http://dx.doi.org/10.1080/02664763.2012.683169