Functional Methods for Time Series Prediction: A Nonparametric Approach

نویسندگان

  • GERMÁN ANEIROS-PÉREZ
  • RICARDO CAO
  • JUAN M. VILAR-FERNÁNDEZ
  • G. Aneiros-Pérez
  • R. Cao
  • J. M. Vilar-Fernández
چکیده

The problem of prediction in time series using nonparametric functional techniques is considered. An extension of the local linear method to regression with functional explanatory variable is proposed. This forecasting method is compared with the functional Nadaraya–Watson method and with fi nitedimensional nonparametric predictors for several real-time series. Prediction intervals based on the bootstrap and conditional distribution estimation for those nonparametric methods are also compared. Copyright © 2010 John Wiley & Sons, Ltd. key words time series forecasting; functional data; nonparametric regression; bootstrap

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تاریخ انتشار 2010