Uniform in bandwidth consistency for various kernel estimators involving functional data

Lydia Kara-Zaitri, Ali Laksaci, Mustapha Rachdi and Philippe Vieu

Journal of Nonparametric Statistics, 2017, vol. 29, issue 1, 85-107

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.

Date: 2017
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DOI: 10.1080/10485252.2016.1254780

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