article Open Access
Analysis of generalized linear models for functional data
International Journal of Statistics and Applied Mathematics · 2021 · Vol. 6(4) · pp. 30–34
Abstract
In this Paper, 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.
Statistical Methods and InferenceControl Systems and IdentificationAdvanced Statistical Methods and ModelsIdentifiabilityFunctional data analysisGeneralized linear modelMathematicsLinear modelFunctional principal component analysisApplied mathematicsSpline (mechanical)Linear regressionGeneralized additive model
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