A simultaneous confidence band for sparse longitudinal regression

Handle URI:
http://hdl.handle.net/10754/597409
Title:
A simultaneous confidence band for sparse longitudinal regression
Authors:
Ma, Shujie; Yang, Lijian; Carroll, Raymond J.
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.
Citation:
Ma S, Yang L, Carroll RJ (2012) A simultaneous confidence band for sparse longitudinal regression. STAT SINICA 22. Available: http://dx.doi.org/10.5705/ss.2010.034.
Publisher:
Institute of Statistical Science
Journal:
Statistica Sinica
KAUST Grant Number:
KUS-CI-016-04
Issue Date:
Jan-2012
DOI:
10.5705/ss.2010.034
PubMed ID:
23459083
PubMed Central ID:
PMC3583240
Type:
Article
ISSN:
1017-0405
Sponsors:
The authors thank Shuzhuan Zheng and the seminar participants at the University of Michigan, Georgia Institute of Technology, Georgia State University, University of Toledo, University of Georgia, Soochow University, University of Science and Technology of China, and Peking University for their comments on the paper. Ma and Yang's research was supported in part by NSF Awards DMS 0706518, DMS 1007594, an MSU Summer Support Fellowship and a grant from Risk Management Institute, National University of Singapore. Carroll's research was supported by a grant from the National Cancer Institute (CA57030) and by Award Number KUS-CI-016-04, made by King Abdullah University of Science and Technology (KAUST). The detailed and insightful comments from an associate editor and two referees are gratefully acknowledged.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorMa, Shujieen
dc.contributor.authorYang, Lijianen
dc.contributor.authorCarroll, Raymond J.en
dc.date.accessioned2016-02-25T12:32:38Zen
dc.date.available2016-02-25T12:32:38Zen
dc.date.issued2012-01en
dc.identifier.citationMa S, Yang L, Carroll RJ (2012) A simultaneous confidence band for sparse longitudinal regression. STAT SINICA 22. Available: http://dx.doi.org/10.5705/ss.2010.034.en
dc.identifier.issn1017-0405en
dc.identifier.pmid23459083en
dc.identifier.doi10.5705/ss.2010.034en
dc.identifier.urihttp://hdl.handle.net/10754/597409en
dc.description.abstractFunctional 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
dc.description.sponsorshipThe authors thank Shuzhuan Zheng and the seminar participants at the University of Michigan, Georgia Institute of Technology, Georgia State University, University of Toledo, University of Georgia, Soochow University, University of Science and Technology of China, and Peking University for their comments on the paper. Ma and Yang's research was supported in part by NSF Awards DMS 0706518, DMS 1007594, an MSU Summer Support Fellowship and a grant from Risk Management Institute, National University of Singapore. Carroll's research was supported by a grant from the National Cancer Institute (CA57030) and by Award Number KUS-CI-016-04, made by King Abdullah University of Science and Technology (KAUST). The detailed and insightful comments from an associate editor and two referees are gratefully acknowledged.en
dc.publisherInstitute of Statistical Scienceen
dc.subjectLongitudinal dataen
dc.subjectConfidence Banden
dc.subjectKnotsen
dc.subjectFunctional Dataen
dc.subjectB Splineen
dc.subjectKarhunen-loève L2 Representationen
dc.subjectStrong Approximationen
dc.titleA simultaneous confidence band for sparse longitudinal regressionen
dc.typeArticleen
dc.identifier.journalStatistica Sinicaen
dc.identifier.pmcidPMC3583240en
dc.contributor.institutionDepartment of Statistics and Probability, Michigan State University, East Lansing, MI 48824.en
kaust.grant.numberKUS-CI-016-04en

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