A simultaneous confidence band for sparse longitudinal regression

Ma, Shujie; Yang, Lijian; Carroll, Raymond J.

Type

Article

Authors

Ma, Shujie
Yang, Lijian
Carroll, Raymond J.

KAUST Grant Number

KUS-CI-016-04

Date

2012-01

Permanent link to this record

http://hdl.handle.net/10754/597409

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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.

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.