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Nonparametric regression for functional response and functional regressor under dependance
Journal article   Peer reviewed

Nonparametric regression for functional response and functional regressor under dependance

Frederic Ferraty, Ali Laksaci, Amel Tadj and Philippe Vieu
Comptes rendus. Mathématique, Vol.350(13-14), pp.717-720
01/07/2012
DOI: https://doi.org/10.1016/j.crma.2012.07.014

Abstract

Mathematics Physical Sciences Science & Technology
We consider a kernel estimate of the regression when the response variable is in a Banach space and the explanatory variable takes its values in a semi-metric space. Our main result states the almost complete convergence (with rate) of the constructed estimate when the sample considered is a beta-mixing sequence. (C) 2012 Publie par Elsevier Masson SAS pour l'Academie des sciences.

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