Local linear regression for functional data

@inproceedings{Berlinet2007LocalLR,
  title={Local linear regression for functional data},
  author={Alain Berlinet and Abdallah Elamine and Andr{\'e} Mas},
  year={2007}
}
We study a non linear regression model with functional data as inputs and scalar response. We propose a pointwise estimate of the regression function that maps a Hilbert space onto the real line by a local linear method. We provide the asymptotic mean square error. Computations involve a linear inverse problem as well as a representation of the small ball probability of the data and are based on recent advances in this area. The rate of convergence of our estimate outperforms those already… CONTINUE READING
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Showing 1-10 of 40 references

Linear minimax e¢ ciency of local polynomial regression smoothers

  • K. Chen
  • J. Nonparametr. Stat. 15,
  • 2003
Highly Influential
7 Excerpts

Inverse Problems in the Mathematical Sciences, Vieweg

  • C. Groetsch
  • 1993
Highly Influential
6 Excerpts

A representation theorem for gaussian small ball probabilities, manuscript

  • A. Mas
  • 2008
Highly Influential
3 Excerpts

Local functional principal component analysis, to appear in Complex Analysis and Operator Theory

  • A. Mas
  • 2007
Highly Influential
9 Excerpts

Asymptotic theory for the principal component analysis of a random vector function : some applications to statistical inference

  • J. Dauxois, A. Pousse, Y. Romain
  • Journal of Multivariate Analysis,
  • 1982
Highly Influential
5 Excerpts

Advances in nonparametric regression for functional variables ,

  • F. Ferraty, A. Mas, P. Vieu
  • Australian and NewZealand Journal of Statistics
  • 2007

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