On robust nonparametric regression estimation for a functional regressor

被引：41
|
作者：
Azzedine, Nadjia [2 ]
Laksaci, Ali [2 ]
Ould-Saied, Elias [1 ]
机构：
[1] Univ Littoral Cote dOpale, LMPAJ Liouville, F-62228 Calais, France
[2] Univ Djillali Liabes Sidi Bel Abbes, Dept Math, Sidi Bel Abbes 22000, Algeria
来源：
STATISTICS & PROBABILITY LETTERS | 2008年 / 78卷 / 18期
关键词：
D O I：
10.1016/j.spl.2008.06.018
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We Study a family of robust nonparametric estimators for a regression function based on a kernel method when the regressors are functional random variables. We establish the almost complete convergence rate of these estimators under the probability measure's concentration property on small balls of the functional variable. Simulations are given to show Our estimator's behavior and the prediction quality for functional data. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：3216 / 3221
页数：6
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