Nonparametric multiple regression estimation for circular response

• Andrea Meilán-Vila ^[1] ; Mario Francisco-Fernández ^[1] ; Rosa M. Crujeiras ^[2] ; Agnese Panzera ^[3]
  1. [1] Universidade da Coruña

     Universidade da Coruña

     A Coruña, España

     
  2. [2] Universidade de Santiago de Compostela

     Universidade de Santiago de Compostela

     Santiago de Compostela, España

     
  3. [3] University of Florence

     University of Florence

     Firenze, Italia

     

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• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 30, Nº. 3, 2021, págs. 650-672
• Idioma: inglés
• DOI: 10.1007/s11749-020-00736-w
• Texto completo no disponible (Saber más ...)
• Resumen

  • Nonparametric estimators of a regression function with circular response and Rd-valued predictor are considered in this work. Local polynomial estimators are proposed and studied. Expressions for the asymptotic conditional bias and variance of these estimators are derived, and some guidelines to select asymptotically optimal local bandwidth matrices are also provided. The finite sample behavior of the proposed estimators is assessed through simulations, and their performance is also illustrated with a real data set.