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Consistency of the regression estimator with functional data under long memory conditions |
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| Authors: | K. Benhenni S. Hedli-Griche M. Rachdi P. Vieu |
| Affiliation: | aUniversité de Grenoble 2, Equipe SF&S, LJK UMR CNRS 5224, UFR SHS, BP. 47, F38040 Grenoble Cedex 09, France bUniversité Paul Sabatier, LSP UMR CNRS 5583, 118, Route de Narbonne, 31062 Toulouse Cedex, France |
| Abstract: | We study the nonparametric regression estimation when the explanatory variable takes values in some abstract functional space. We establish some asymptotic results and we give the (pointwise and uniform) convergence of the kernel type estimator constructed from functional data under long memory conditions. |
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