A simultaneous confidence band for sparse longitudinal regression

Ma, S; Yang, L; Carroll, RJ

A simultaneous confidence band for sparse longitudinal regression

Ma, S Yang, L Carroll, RJ

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Publication Type:: Journal Article
Citation:: Statistica Sinica, 2012, 22 (1), pp. 95 - 122
Issue Date:: 2012-01-01

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Field	Value	Language
dc.contributor.author	Ma, S	en_US
dc.contributor.author	Yang, L	en_US
dc.contributor.author	Carroll, RJ	en_US
dc.date.issued	2012-01-01	en_US
dc.identifier.citation	Statistica Sinica, 2012, 22 (1), pp. 95 - 122	en_US
dc.identifier.issn	1017-0405	en_US
dc.identifier.uri	http://hdl.handle.net/10453/114921
dc.description.abstract	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 CD4 cell counts of HIV infected patients.	en_US
dc.relation.ispartof	Statistica Sinica	en_US
dc.relation.isbasedon	10.5705/ss.2010.034	en_US
dc.subject.classification	Statistics & Probability	en_US
dc.title	A simultaneous confidence band for sparse longitudinal regression	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	22	en_US
utslib.for	0104 Statistics	en_US
utslib.for	0199 Other Mathematical Sciences	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	22	en_US

Abstract:

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 CD4 cell counts of HIV infected patients.

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http://hdl.handle.net/10453/114921