title: A SIMULTANEOUS CONFIDENCE BAND FOR SPARSE LONGITUDINAL REGRESSION.
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: Department of Statistics and Probability, Michigan State University, East Lansing, MI 48824.
authors: Shujie
authors: S
authors: Ma
authors: Lijian
authors: L
authors: Yang
authors: Raymond J
authors: RJ
authors: Carroll
keywords: B spline; Karhunen-Loève L2 representation; confidence band; functional data; knots; longitudinal data; strong approximation