Functional nonparametric model for time series: a fractal approach for dimension reduction

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Robust nonparametric estimation for functional data (2008, methodology): “This estimator, introduced by Ferraty and Vieu (see [7,8]), is a generalisation of the standard Nadaraya–Watson estimator to functional data.”
Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination (2004, result): “1 gives mathematical support to this nonparametric functional predictor, and it extends in many directions from the previous results as in Ferraty et al. (2002). Note that this modelization covers a large family of possibilities for practical applications, since our procedure allows to take into acc”
Nonparametric modelling for functional data: selected survey and tracks for future (2018, background): “First studies are based on mixing conditions on the sample: complete convergence results of type (4) were firstly presented for basic kernel estimate (3) in [60] and extended in [4,61,62], while uniform rates of type (5) were presented in [63] (see [64]) and asymptotic normality was stated in [65] a”