Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Spatially adaptive splines for statistical linear inverse problems
Journal of Multivariate Analysis
Diagnostics for functional regression via residual processes
Computational Statistics & Data Analysis
Functional PLS logit regression model
Computational Statistics & Data Analysis
On rates of convergence in functional linear regression
Journal of Multivariate Analysis
An extension of Fisher's discriminant analysis for stochastic processes
Journal of Multivariate Analysis
Local linear regression for functional predictor and scalar response
Journal of Multivariate Analysis
On the use of the bootstrap for estimating functions with functional data
Computational Statistics & Data Analysis
Interpretable dimension reduction for classifying functional data
Computational Statistics & Data Analysis
Wavelet-RKHS-based functional statistical classification
Advances in Data Analysis and Classification
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We analyze in a regression setting the link between a scalar response and a functional predictor by means of a Functional Generalized Linear Model. We first give a theoretical framework and then discuss identifiability of the model. The functional coefficient of the model is estimated via penalized likelihood with spline approximation. The L2 rate of convergence of this estimator is given under smoothness assumption on the functional coefficient. Heuristic arguments show how these rates may be improved for some particular frameworks.