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Activity Number: 523
Type: Contributed
Date/Time: Wednesday, August 5, 2009 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304245
Title: Recent History Functional Linear Model for Sparse Longitudinal Data
Author(s): Kion Kim*+ and Senturk Damla
Companies: Penn State University and Penn State University
Address: 331B, Thomas Bldg., University Park, 16801,
Keywords: Covariance Function ; Functional Linear Models ; Regression Spline ; Sparse Longitudinal Data ; Varying Coeffficient Models
Abstract:

We propose a variant of historical functional linear models for cases where the current response is affected by the predictor process in a window into the past. We expand the functional regression surface using regression splines and utilize connections to varying coefficient models. The algorithm proposed is geared towards sparse longitudinal data where the observations are irregular and total number of measurements per subject is small. The algorithm is fast and easy to implement involving one dimensional basis expansions. Simulations are used to demonstrate the efficacy of the proposed method.


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