Many papers deal with structural testing procedures in multivariate regression. More recently, various estimators have been proposed for regression models involving functional explanatory variables. Thanks to these new estimators, we propose a theoretical framework for structural testing...

We consider the functional non-parametric regression model "Y"&equals; "r"(<b>"χ"</b>)&plus;"&epsiv;", where the response "Y" is univariate, <b>"χ"</b> is a functional covariate (i.e. valued in some infinite-dimensional space), and the error "&epsiv;" satisfies "E"("&epsiv;" | <b>"χ"</b>) &equals; 0. For this model, the pointwise...

Additive model and estimates for regression problems involving functional data are proposed. The impact of the additive methodology for analyzing datasets involving various functional covariates is underlined by comparing its predictive power with those of standard (i.e. non additive)...

This work deals with a generalization of the Total Least Squaresmethod in the context of the functional linear model. We first propose asmoothing splines estimator of the functional coefficient of the model withoutnoise in the covariates and we obtain an asymptotic result for this...