no. 7
Statistics
CLT and Lq errors in nonparametric functional regression
Presented by: Paul Deheuvels
Delsol, Laurent1
1L.S.P., Université Paul-Sabatier, 31062 Toulouse, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 411-414

We study a nonparametric functional regression model and we provide an asymptotic law with explicit constants under α-mixing assumptions. Then we establish both pointwise confidence bands for the regression operator and asymptotic Lq errors for its kernel estimator.

On étudiera dans cet article la normalité asymptotique de l'estimateur à noyau pour des données α-mélangeantes fonctionnelles. L'explicitation des constantes apparaissant dans la loi asymptotique permet d'établir des intervalles de confiance ponctuels pour l'opérateur de régression ainsi que l'expression des erreurs Lq.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2007.07.021

Delsol, Laurent  1

1 L.S.P., Université Paul-Sabatier, 31062 Toulouse, France 
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Delsol, Laurent. CLT and $ {\mathbb{L}}^{q}$ errors in nonparametric functional regression. Comptes Rendus. Mathématique, Volume 345 (2007) no. 7, pp. 411-414. doi: 10.1016/j.crma.2007.07.021

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