Robust simultaneous inference for the mean function of functional data

• Italo R. Lima ^[1] ; Guanqun Cao ^[1]
  1. [1] Auburn University

     Auburn University

     Estados Unidos

     
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 28, Nº. 3, 2019, págs. 785-803
• Idioma: inglés
• DOI: 10.1007/s11749-018-0598-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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