This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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120
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Type:
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Topic Contributed
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Date/Time:
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Monday, August 2, 2010 : 8:30 AM to 10:20 AM
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Sponsor:
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IMS
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Abstract - #306574 |
Title:
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A Simultaneous Confidence Band for Sparse Longitudinal Regression
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Author(s):
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Shujie Ma*+ and Lijian Yang and Raymond Carroll
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Companies:
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Michigan State University and Michigan State University and Texas A&M University
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Address:
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Department of Statistics and Probability, East Lansing, MI, 48824,
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Keywords:
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B spline ;
confidence band ;
functional data ;
Karhunen-Loève L² representation ;
longitudinal data ;
strong approximation
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Abstract:
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Functional data analysis has received considerable recent attention and a number of successful applications have been reported. In this paper, asymptotically simultaneous confidence bands are obtained for the mean function of the functional regression model, using piecewise constant spline estimation. Simulation experiments corroborate the asymptotic theory. The confidence band procedure is illustrated by analyzing the CD4 cell counts of HIV infected patients.
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