title: Superoptimal Rate of Convergence in Nonparametric Estimation for Functional Valued Processes.
abstract: We consider the nonparametric estimation of the generalised regression function for continuous time processes with irregular paths when the regressor takes values in a semimetric space. We establish the mean-square convergence of our estimator with the same superoptimal rate as when the regressor is real valued.
authors.affiliation: LMNO, CNRS, Université de Caen, Campus II, Science 3, 14032 Caen, France.
authors.forename: Christophe
authors.initials: C
authors.lastname: Chesneau
authors.affiliation: LMNO, CNRS, Université de Caen, Campus II, Science 3, 14032 Caen, France.
authors.forename: Bertrand
authors.initials: B
authors.lastname: Maillot