What question did this study set out to answer?

The aim is to examine the complete consistency of the G-M estimator under a model with negatively dependent errors.

April 1, 2026Mathematics1 citationsOpen Access

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

CQCong QuPingdingshan University SZShuiLi ZhangPingdingshan University

Puntos clave

The aim is to examine the complete consistency of the G-M estimator under a model with negatively dependent errors.
Analytical study of G-M estimator's performance
Utilization of inequalities for extended negatively dependent errors
Simulation experiments to illustrate findings
The G-M estimator shows complete consistency under the defined conditions
Convergence rates for complete consistency were established
Simulations support theoretical results, demonstrating practical applicability

Resumen

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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