Open Access
2011 Kernel regression with functional response
Frédéric Ferraty, Ali Laksaci, Amel Tadj, Philippe Vieu
Electron. J. Statist. 5: 159-171 (2011). DOI: 10.1214/11-EJS600


We consider kernel regression estimate when both the response variable and the explanatory one are functional. The rates of uniform almost complete convergence are stated as function of the small ball probability of the predictor and as function of the entropy of the set on which uniformity is obtained.


Download Citation

Frédéric Ferraty. Ali Laksaci. Amel Tadj. Philippe Vieu. "Kernel regression with functional response." Electron. J. Statist. 5 159 - 171, 2011.


Published: 2011
First available in Project Euclid: 28 March 2011

zbMATH: 1274.62281
MathSciNet: MR2786486
Digital Object Identifier: 10.1214/11-EJS600

Primary: 62G08

Keywords: Entropy , functional data , kernel estimators , semi-metric space , Uniform almost complete convergence

Rights: Copyright © 2011 The Institute of Mathematical Statistics and the Bernoulli Society

Back to Top