A. Berlinet

Publications (2)1.71 Total impact

• Article: Local linear regression for functional data

  A. Berlinet, A. Elamine, A. Mas
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  ABSTRACT: 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 and derive its 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. KeywordsFunctional data–Regression model–Kernel–Mean square error–Small ball probability–Inverse problem
  Annals of the Institute of Statistical Mathematics 04/2012; 63(5):1047-1075. · 0.86 Impact Factor
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  Available from: arxiv.org

  Article: Local linear regression for functional data

  A. Berlinet, A. Elamine, A. Mas
  Annals of the Institute of Statistical Mathematics 63(5):1047-1075. · 0.86 Impact Factor