On the robustification of the kernel estimator of the functional modal regression

被引：0
|
作者：
Amel, Azzi [1 ]
Ali, Laksaci [2 ]
Elias, Ould Said [3 ]
机构：
[1] Ctr Univ Salhi Ahmed Naama, Naama, Algeria
[2] King Khalid Univ, Dept Math, Coll Sci, POB 9004, Abha 62529, Saudi Arabia
[3] Univ Littoral Cote dOpale, Lab Math Pures & Appl, IUT Calais, 19 Rue Louis David Calais, F-62228 Dunkerque, France
来源：
STATISTICS & PROBABILITY LETTERS | 2022年 / 181卷
关键词：
Conditional mode estimate; Functional statistics; Quantile regression; Robust estimator; CONDITIONAL MODE; QUANTILE REGRESSION; ASYMPTOTIC NORMALITY;
D O I：
10.1016/j.spl.2021.109256
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：
A new nonparametric estimator of the conditional mode when the regressors are functionals is proposed. The main aim of this paper is to establish the almost complete convergence (with rate) of the constructed estimator is estimate under general assumptions in nonparametric functional statistics. A simulation study is carried out to examine, illustrate, the finite samples behavior of the constructed estimator. Finally, a discussion highlighting the impact of this new estimator in nonparametric functional data analysis is also given. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Central limit theorem for the kernel estimator of the regression function for censored time series
    Guessoum, Zohra
    Said, Elias Ould
    JOURNAL OF NONPARAMETRIC STATISTICS, 2012, 24 (02) : 379 - 397
  • [32] Nonparametric estimation of regression level sets using kernel plug-in estimator
    Laloe, T.
    Servien, R.
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2013, 42 (03) : 301 - 311
  • [33] Nonparametric estimation of regression level sets using kernel plug-in estimator
    T. Laloë
    R. Servien
    Journal of the Korean Statistical Society, 2013, 42 : 301 - 311
  • [34] Weak and strong uniform consistency of a kernel error density estimator in nonparametric regression
    Cheng, FX
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2004, 119 (01) : 95 - 107
  • [35] A kernel-type regression estimator for NMAR response variables with applications to classification
    Mojirsheibani, Majid
    Khudaverdyan, Arin
    STATISTICS & PROBABILITY LETTERS, 2024, 215
  • [36] Strong consistency of non parametric kernel regression estimator for strong mixing samples
    Yang, Xiutao
    Yang, Shanchao
    Yang, Xin
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (21) : 10537 - 10548
  • [37] On the Nadaraya-Watson kernel regression estimator for irregularly spaced spatial data
    El Machkouri, Mohamed
    Fan, Xiequan
    Reding, Lucas
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2020, 205 : 92 - 114
  • [38] On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks
    Pehlivan, Nimet Yapici
    Apaydin, Aysen
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2008, 21 (03): : 87 - 95
  • [39] MULTI-MODAL IMAGE REGISTRATION USING FUZZY KERNEL REGRESSION
    Ardizzone, Edoardo
    Gallea, Roberto
    Gambino, Orazio
    Pirrone, Roberto
    2009 16TH IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-6, 2009, : 193 - 196
  • [40] Multi-modal kernel ridge regression for social image classification
    Zhang, Xiaoming
    Chao, Wenhan
    Li, Zhoujun
    Liu, Chunyang
    Li, Rui
    APPLIED SOFT COMPUTING, 2018, 67 : 117 - 125
12345