Functional linear models for functional responses

  • J. O. Ramsay
  • B. W. Silverman
Part of the Springer Series in Statistics book series (SSS)


The aim of Chapter 10 was to predict a scalar response y from a functional covariate x. We now consider a fully functional linear model in which both the response y and the covariate x are functions. For instance, in the Canadian weather example, we might wish to investigate to what extent we can predict the complete log precipitation profile LPrec of a weather station from information in its complete temperature profile Temp.


Functional Response Basis Expansion Functional Predictor Roughness Penalty Functional Linear Model 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • J. O. Ramsay
    • 1
  • B. W. Silverman
    • 2
  1. 1.Department of PsychologyMcGill UniversityMontrealCanada
  2. 2.Department of MathematicsUniversity of BristolBristolUK

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