Local linear estimate of the nonparametric robust regression in functional data

被引：8
作者：
Belarbi, Faiza [1 ]
Chemikh, Souheyla [1 ]
Laksaci, Ali [2 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Stat & Proc Stochast, Sidi Bel Abbes, Algeria
[2] King Khalid Univ, Dept Math, Coll Sci, POB 9004, Abha 61413, Saudi Arabia
来源：
STATISTICS & PROBABILITY LETTERS | 2018年 / 134卷
关键词：
Functional data analysis; Local linear method; Robust estimation; Asymptotic normality; Almost complete convergence; MODELED REGRESSION;
D O I：
10.1016/j.spl.2017.11.003
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：
In this paper, we study the robust estimation of the functional local linear regression model. The main results of this work are the establishment of the almost complete convergence as well as the asymptotic normality for the constructed estimator. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：128 / 133
页数：6
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