Nonparametric multiple regression estimation for circular response Articles uri icon

published in

publication date

  • September 2021

start page

  • 650

end page

  • 672


  • 3


  • 30

International Standard Serial Number (ISSN)

  • 1133-0686

Electronic International Standard Serial Number (EISSN)

  • 1863-8260


  • 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.


  • Mathematics
  • Statistics


  • linear-circular regression; multiple regression; local polynomial estimators