Functional methods for time series prediction: a nonparametric approach

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 finite-dimensional nonparametric predictors for several real-time series. Prediction intervals based on the bootstrap and conditional distribution estimation for those nonparametric methods are also compared.