Local linear regression for functional data

  title={Local linear regression for functional data},
  author={Alain Berlinet and Abdallah Elamine and Andr{\'e} Mas},
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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