Partly linear models on Riemannian manifolds
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,...
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todo:paper_02664763_v39_n8_p1797_GonzalezManteiga2023-10-03T15:13:24Z Partly linear models on Riemannian manifolds Gonzalez-Manteiga, W. Henry, G. Rodriguez, D. environmental data hypothesis test non-parametric estimation partly linear models Riemannian manifolds 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. Fil:Henry, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rodriguez, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02664763_v39_n8_p1797_GonzalezManteiga |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
environmental data hypothesis test non-parametric estimation partly linear models Riemannian manifolds |
| spellingShingle |
environmental data hypothesis test non-parametric estimation partly linear models Riemannian manifolds Gonzalez-Manteiga, W. Henry, G. Rodriguez, D. Partly linear models on Riemannian manifolds |
| topic_facet |
environmental data hypothesis test non-parametric estimation partly linear models Riemannian manifolds |
| description |
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. |
| format |
JOUR |
| author |
Gonzalez-Manteiga, W. Henry, G. Rodriguez, D. |
| author_facet |
Gonzalez-Manteiga, W. Henry, G. Rodriguez, D. |
| author_sort |
Gonzalez-Manteiga, W. |
| title |
Partly linear models on Riemannian manifolds |
| title_short |
Partly linear models on Riemannian manifolds |
| title_full |
Partly linear models on Riemannian manifolds |
| title_fullStr |
Partly linear models on Riemannian manifolds |
| title_full_unstemmed |
Partly linear models on Riemannian manifolds |
| title_sort |
partly linear models on riemannian manifolds |
| url |
http://hdl.handle.net/20.500.12110/paper_02664763_v39_n8_p1797_GonzalezManteiga |
| work_keys_str_mv |
AT gonzalezmanteigaw partlylinearmodelsonriemannianmanifolds AT henryg partlylinearmodelsonriemannianmanifolds AT rodriguezd partlylinearmodelsonriemannianmanifolds |
| _version_ |
1807321923469705216 |