Complete Consistency of G-M Estimator in Nonparametric Regression Model Based on Extended Negatively Dependent Errors

In this paper, we study the complete consistency of the G-M estimator in a nonparametric regression model based on extended negatively dependent errors, and we obtain the convergence rates of the complete consistency by using the inequalities for extended negatively dependent random variables. Finally, some simulations are illustrated.

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Publication Details

Journal
Mathematics
Published
2026-03-31
DOI
https://doi.org/10.3390/math14071158
Primary Topic
Statistical Methods and Inference
Type
article
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article

Complete Consistency of G-M Estimator in Nonparametric Regression Model Based on Extended Negatively Dependent Errors

Cong Qu, ShuiLi Zhang
Mathematics
Statistical Methods and Inference
article

Complete Consistency of G-M Estimator in Nonparametric Regression Model Based on Extended Negatively Dependent Errors

Cong Qu, ShuiLi Zhang
article en

Abstract

In this paper, we study the complete consistency of the G-M estimator in a nonparametric regression model based on extended negatively dependent errors, and we obtain the convergence rates of the complete consistency by using the inequalities for extended negatively dependent random variables. Finally, some simulations are illustrated.

MathematicsVol. 14(7)
Pingdingshan University (CN)
Reduced inequalities
Openalex Percentile: Top 31%
Statistical Methods and Inference
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Complete Consistency of G-M Estimator in Nonparametric Regression Model Based on Extended Negatively Dependent Errors — Cong Qu, ShuiLi Zhang · Mathematics (2026) | TGRS Research Map | TGRS