Two-sample Functional Linear Models

@article{Xu2019TwosampleFL,
  title={Two-sample Functional Linear Models},
  author={Wenchao Xu and Riquan Zhang and Hua Liang},
  journal={Statistica Sinica},
  year={2019}
}
In this paper we study two-sample functional linear regression with a scaling transformation of regression functions. We consider estimation of the intercept, the slope function and the scalar parameter based on the functional principal component analysis. We also establish the rates of convergence for the estimator of the slope function, which is shown to be optimal in a minimax sense under certain smoothness assumptions. We further investigate semiparametric efficiency for the estimation of… 
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Two-sample functional linear models with functional responses

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