Abstract
A robust framework is proposed, based on polynomial spline estimation technique, for the estimation of the mean function of dense functional data, together with a simultaneous confidence band for the mean function. The robust simultaneous confidence band is also extended to the difference of mean functions of two populations. The performance of the proposed robust methods is evaluated with the simulation study and real data examples.
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Cao’s research is supported in part by the Simons Foundation under Grant #354917 and National Science Foundation under Grant DMS 1736470. The authors thank the editor, the associate editor and reviewers for their constructive comments that have led to a dramatic improvement of the earlier version of this article.
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Lima, I.R., Cao, G. & Billor, N. Robust simultaneous inference for the mean function of functional data. TEST 28, 785–803 (2019). https://doi.org/10.1007/s11749-018-0598-y
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DOI: https://doi.org/10.1007/s11749-018-0598-y