Robust nonparametric estimation for functional data

Abstract

Robust estimation provides an alternative approach to classical methods, for instance, when the data are affected by the presence of outliers. Recently, these robust estimators have been considered for models with functional data. In this paper, we focus on asymptotic properties of a conditional nonparametric estimation of a real-valued variable with a functional covariate. We present results dealing with 𝕃 q errors of these estimators. Then, our estimation procedure is evaluated by means of some applications to real data sets.