Uniform in bandwidth consistency for various kernel estimators involving functional data |
| |
| Authors: | Lydia Kara-Zaitri Ali Laksaci Philippe Vieu |
| |
| Institution: | 1. Laboratoire de Mathématiques, Université Djillali Liabès de Sidi Bel-Abbès, Sidi Bel-Abbès, Algérie;2. Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse Cedex 9, France |
| |
| Abstract: | The paper investigates various nonparametric models including regression, conditional distribution, conditional density and conditional hazard function, when the covariates are infinite dimensional. The main contribution is to prove uniform in bandwidth asymptotic results for kernel estimators of these functional operators. Then, the application issues, involving data-driven bandwidth selection, are discussed. |
| |
| Keywords: | Functional data analysis uniformity in bandwidth small ball probability functional regression conditional distribution conditional density conditional hazard function |
|
|
