JSM 2011 Online Program

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Abstract Details

Activity Number: 156
Type: Topic Contributed
Date/Time: Monday, August 1, 2011 : 10:30 AM to 12:20 PM
Sponsor: International Chinese Statistical Association
Abstract - #301018
Title: Spline Confidence Bands for Functional Derivatives
Author(s): Guanqun Cao and Jing Wang*+ and Li Wang and David Todem
Companies: Michigan State University and University of Illinois at Chicago and University of Georgia and Michigan State University
Address: 851 S Morgan St (MC 249), Chicago, IL, 60607,
Keywords: B-spline ; confidence band ; functional data ; derivative ; semiparametric efficiency
Abstract:

This paper considers the problem of estimating the derivatives of the mean curve of dense functional data. In particular, confidence bands for the derivative curves are developed using polynomial B-splines. Both the spline estimator and its accompanying confidence band are shown to have the semiparametric efficiency in the sense that they are asymptotically the same as if all random trajectories are observed entirely and without errors. The confidence band procedure is illustrated through several numerical studies.


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