A simultaneous confidence band for sparse longitudinal regression

Shujie Ma, Lijian Yang, Raymond J. Carroll

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)95-122
Number of pages28
JournalStatistica Sinica
Volume22
Issue number1
DOIs
StatePublished - Jan 2012
Externally publishedYes

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