A SIMULTANEOUS CONFIDENCE BAND FOR SPARSE LONGITUDINAL REGRESSION. Academic Article

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.

authors

• Carroll, Raymond

published proceedings

• Stat Sin

author list (cited authors)

• Ma, S., Yang, L., & Carroll, R. J.

citation count

• 61

complete list of authors

• Ma, Shujie||Yang, Lijian||Carroll, Raymond J

publication date

• January 2012

publisher

• Statistica Sinica (Institute of Statistical Science)  Publisher

published in

• STATISTICA SINICA  Journal

keywords

• B Spline
• Confidence Band
• Functional Data
• Karhunen-loève L2 Representation
• Knots
• Longitudinal Data
• Strong Approximation

PubMed Central ID

• 23459083

Digital Object Identifier (DOI)

• 10.5705/ss.2010.034

start page

• 95

end page

• 122

volume

• 22

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.5705%2Fss.2010.034