A Simultaneous Confidence Band for Dense Longitudinal Regression

Q. Song, R. Liu, Q. Shao and Lijian Yang

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 24, 5195-5210

Abstract: We present a method of using local linear smoothing to construct simultaneous confidence bands for the mean function of densely spaced functional data. Our approach works well under mild conditions. In addition, the local linear estimator and its accompanying confidence band enjoy semiparametric efficiency in the sense that they are asymptotically equivalent to the counterparts obtained from the random trajectories entirely observed without errors. We illustrate the performance of the proposed confidence band through a simulation study. Furthermore, an application in food science is presented.

Date: 2014
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Citations: View citations in EconPapers (7)

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DOI: 10.1080/03610926.2012.729643

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