publication . Other literature type . Article . 2011

Kernel regression with functional response

Philippe Vieu; Frédéric Ferraty; Amel Tadj; Ali Laksaci;
Open Access English
  • Published: 01 Jan 2011
  • Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
  • Country: France
Abstract
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.
doi: 10.1214/11-ejs600
Subjects
arXiv: Statistics::MethodologyStatistics::Theory
free text keywords: Uniform almost complete convergence, kernel estimators, functional data, entropy, semi-metric space, 62G08, 62G08 (62G20), Statistics and Probability, Radial basis function kernel, Kernel (statistics), Polynomial kernel, Kernel regression, Kernel embedding of distributions, Kernel principal component analysis, Principal component regression, Mathematics, Statistics, Variable kernel density estimation
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