Asymptotic normality of a robust kernel estimator of the regression function for functional ergodic data: Case of an unknown scale parameter

被引：3

作者：

Attouch, Mohammed Kadi ^{[1
]}

Kaid, Zoulikha ^{[1
]}

Louhab, Hayat ^{[2
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha, Saudi Arabia

[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Probabilites, Stat, Proc Stochast, BP 89, Sidi Bel Abbes 22000, Algeria

来源：

COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 05期

关键词：

NONPARAMETRIC REGRESSION;

D O I：

10.1016/j.crma.2019.04.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under a nonparametric robust regression model, we consider the problem of estimating the score function psi(x) for a fixed x in a functional space and with unknown scale parameter. The principal aim of this work is to establish the asymptotic normality of this estimator for a stationary ergodic process without any use of traditional mixing conditions. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：478 / 481

页数：4

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