Quadratic forms of the empirical processes for the two-sample problem for functional data

• R. Bárcenas ^[1] ; J. Ortega ^[1] ; A. J. Quiroz ^[2]
  1. [1] Mathematics Research Center

     Mathematics Research Center

     México

     
  2. [2] Universidad de Los Andes

     Universidad de Los Andes

     Colombia

     
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 26, Nº. 3, 2017, págs. 503-526
• Idioma: inglés
• DOI: 10.1007/s11749-017-0522-x
• Texto completo no disponible (Saber más ...)
• Resumen

  • The use of quadratic forms of the empirical process for the two-sample problem in the context of functional data is considered. The convergence of the family of statistics proposed to a Chi-squared limit is established under metric entropy conditions for smooth functional data. The applicability of the proposed methodology is evaluated in simulations and real data examples.