Functional linear models for functional responses
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.
KeywordsFunctional Response Basis Expansion Functional Predictor Roughness Penalty Functional Linear Model
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