### Simultaneous Confidence Band for Sparse Longitudinal Regression Curve

- Series
- Stochastics Seminar
- Time
- Thursday, November 19, 2009 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Lijian Yang – Michigan State University

Recently functional data analysis has received considerable attention in
statistics research and a number of successful applications have been reported, but
there has been no results on the inference of the global shape of the mean regression
curve. In this paper, asymptotically simultaneous confidence band is obtained for the
mean trajectory curve based on sparse longitudinal data, using piecewise constant
spline estimation. Simulation experiments corroborate the asymptotic theory.