Robust simultaneous inference for the mean function of functional data

Italo R. Lima (), Guanqun Cao () and Nedret Billor ()
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Italo R. Lima: Auburn University
Guanqun Cao: Auburn University
Nedret Billor: Auburn University

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2019, vol. 28, issue 3, No 11, 785-803

Abstract: 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.

Keywords: Confidence band; Functional data analysis; Least absolute deviation; Robust statistics; 62G08; 62G35 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11749-018-0598-y

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