Random approximations to some measures of accuracy in nonparametric curve estimation
Journal of Multivariate Analysis
Nonparametric Functional Data Analysis: Theory and Practice (Springer Series in Statistics)
Nonparametric Functional Data Analysis: Theory and Practice (Springer Series in Statistics)
Diagnostics for functional regression via residual processes
Computational Statistics & Data Analysis
Local smoothing regression with functional data
Computational Statistics
Additive prediction and boosting for functional data
Computational Statistics & Data Analysis
Journal of Multivariate Analysis
No effect tests in regression on functional variable and some applications to spectrometric studies
Computational Statistics
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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 procedures adapted to functional regression. The procedures introduced in this paper are innovative and make the link between former works on functional regression and others on structural testing procedures in multivariate regression. We prove asymptotic properties of the level and the power of our procedures under general assumptions that cover a large scope of possible applications: tests for no effect, linearity, dimension reduction, ...