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Activity Number: 229
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #307905
Title: Functional Regression Analysis: Models, Methods, and Applications
Author(s): Hans-Georg Müller*+
Companies: University of California, Davis
Address: Department of Statistics, Davis, CA, 95616,
Keywords: Functional Data Analysis ; Principal Component ; Smoothing ; Dimension Reduction
Abstract:

Functional regression analysis addresses the situation where predictors or responses in a regression setting include random functions. Early functional linear models were based on observing complete trajectories for the random functions. Generalized functional linear models can be used for classification. Recent extensions to be discussed include functional regression diagnostics, functional regression for sparse and noisy longitudinal data, time-varying functional models, functional additive and nonlinear regression, and the functional embedding of very high-dimensional data. A basic tool is the representation of random functions by functional principal component scores. Illustrations include data from longitudinal, demographic and gene expression studies. The presentation draws on joint work with Jeng-Min Chiou, Peter Hall, Xiaoyang Leng, Jane-Ling Wang, Ping-Shi Wu and Fang Yao.


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Revised September, 2007