publication . Article . 2016

Asymptotic normality of kernel estimator of $\psi$-regression function for functional ergodic data

Laksaci Ali; Benziadi Fatima; Gheriballak Abdelkader;
Open Access English
  • Published: 26 Feb 2016 Journal: New Trends in Mathematical Sciences (issn: 2147-5520, eissn: 2147-5520, Copyright policy)
  • Publisher: BİSKA Bilisim Company
Abstract
In this paper we consider the problem of the estimation of the $\psi$-regression function when the covariates take values in an infinite dimensional space. Our main aim is to establish, under a stationary ergodic process assumption, the asymptotic normality of this estimate.
Subjects
arXiv: Statistics::Methodology
free text keywords: Kernel estimate, ergodic data, functional data, robust regression., Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939
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