Consistency of the recursive nonparametric regression estimation for dependent functional data
Statistics Theory
2013-04-19 v1 Statistics Theory
Abstract
We consider the recursive estimation of a regression functional where the explanatory variables take values in some functional space. We prove the almost sure convergence of such estimates for dependent functional data. Also we derive the mean quadratic error of the considered class of estimators. Our results are established with rates and asymptotic appear bounds, under strong mixing condition.
Cite
@article{arxiv.1304.5217,
title = {Consistency of the recursive nonparametric regression estimation for dependent functional data},
author = {Aboubacar Amiri and Baba Thiam},
journal= {arXiv preprint arXiv:1304.5217},
year = {2013}
}
Comments
12 pages