Robust Nonparametric Estimation for Functional Spatial Regression

被引：0

作者：

Attouch, Mohammed K. ^{[1
]}

Gheriballah, Abdelkader ^{[1
]}

Laksaci, Ali ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Sidi Bel Abbes, Algeria

来源：

RECENT ADVANCES IN FUNCTIONAL DATA ANALYSIS AND RELATED TOPICS | 2011年

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This contribution deals with robust nonparametric regression analysis when the regressors are functional random fields. More precisely, we propose a family of robust nonparametric estimators for nonparametric functional spatial regression based on the kernel method. The main results of this work are the establishment of the almost complete convergence rate of these estimators.

引用

页码：27 / 31

页数：5

共 50 条

[1] Robust nonparametric estimation for spatial regression
Gheriballah, Abdelkader
Laksaci, Ali
Rouane, Rachida
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (07) : 1656 - 1670
[2] On robust nonparametric regression estimation for a functional regressor
Azzedine, Nadjia
Laksaci, Ali
Ould-Saied, Elias
[J]. STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) : 3216 - 3221
[3] ROBUST NONPARAMETRIC REGRESSION ESTIMATION
BOENTE, G
FRAIMAN, R
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1989, 29 (02) : 180 - 198
[4] Robust estimation for nonparametric generalized regression
Bianco, Ana M.
Boente, Graciela
Sombielle, Susana
[J]. STATISTICS & PROBABILITY LETTERS, 2011, 81 (12) : 1986 - 1994
[5] Nonparametric functional estimation by asymptotic regression
Collins, J
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2003, 32 (06) : 1169 - 1195
[6] On the nonparametric estimation of the functional expectile regression
Mohammedi, Mustapha
Bouzebda, Salim
Laksaci, Ali
[J]. COMPTES RENDUS MATHEMATIQUE, 2020, 358 (03) : 267 - 272
[7] Nonparametric robust regression estimation for censored data
Mohamed Lemdani
Elias Ould Saïd
[J]. Statistical Papers, 2017, 58 : 505 - 525
[8] ROBUST NONPARAMETRIC-ESTIMATION OF A REGRESSION FUNCTION
CHENG, KF
[J]. SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES B, 1987, 49 : 9 - 22
[9] Robust estimation for functional coefficient regression models with spatial data
Tang, Qingguo
[J]. STATISTICS, 2014, 48 (02) : 388 - 404
[10] Outlier Detection and Robust Estimation in Nonparametric Regression
Kong, Dehan
Bondell, Howard
Shen, Weining
[J]. INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 84, 2018, 84

← 1 2 3 4 5 →