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Abstract Details

Activity Number: 219
Type: Invited
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #303659
Title: Mixed Additive Models for Function-on-Function Regression
Author(s): Fabian Scheipl*+ and Sonja Greven and Ana-Maria Staicu
Companies: Ludwig-Maxilians-Universität München and Ludwig-Maxilians-Universität München and North Carolina State University
Address: Ludwigstrasse 33, München, International, 80539 , Germany
Keywords: functional data ; generalized additive models ; penalized splines ; mixed models
Abstract:

We introduce a general framework for regression of correlated functional responses on scalar and functional covariates. By representing the associated inference problem in terms of an additive mixed model for scalar response, we are able to make use of established estimation algorithms to fit complex and versatile models for functional responses. We discuss approaches to model spatial, temporal, spatio-temporal and hierachical correlation structures of the functional responses in this framework and present results from simulation studies and application examples.


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