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Robust simultaneous inference for the mean function of functional data

Author

Listed:
  • Italo R. Lima

    (Auburn University)

  • Guanqun Cao

    (Auburn University)

  • Nedret Billor

    (Auburn University)

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.

Suggested Citation

  • Italo R. Lima & Guanqun Cao & Nedret Billor, 2019. "Robust simultaneous inference for the mean function of functional data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(3), pages 785-803, September.
    • Handle: RePEc:spr:testjl:v:28:y:2019:i:3:d:10.1007_s11749-018-0598-y
    DOI: 10.1007/s11749-018-0598-y
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    References listed on IDEAS

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