Adaptive functional linear regression

@article{Comte2011AdaptiveFL,
  title={Adaptive functional linear regression},
  author={Fabienne Comte and Jan Johannes},
  journal={Annals of Statistics},
  year={2011},
  volume={40},
  pages={2765-2797}
}
We consider the estimation of the slope function in functional linear regression, where scalar responses are modeled in dependence of random functions. Cardot and Johannes [J. Multivariate Anal. 101 (2010) 395–408] have shown that a thresholded projection estimator can attain up to a constant minimax-rates of convergence in a general framework which allows us to cover the prediction problem with respect to the mean squared prediction error as well as the estimation of the slope function and its… 

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