On Complete Consistency for the Estimator of Nonparametric Regression Model Based on Asymptotically Almost Negatively Associated Errors

被引：0

作者：

Aiting Shen

Siyao Zhang

机构：

[1] Anhui University,School of Mathematical Sciences

[2] Anhui University,Wendian College

来源：

Methodology and Computing in Applied Probability | 2021年 / 23卷

关键词：

Complete consistency; Nonparametric regression model; Asymptotically almost negatively associated random variables; Bernstein type inequality; Nearest neighbor estimator; 62G05; 62G20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we mainly study the consistency for the estimator of nonparametric regression model based on asymptotically almost negatively associated (AANA, in short) errors. Firstly, the Bernstein type inequality for AANA random variables is established. By using the Bernstein type inequality and moment inequalities, we investigate the complete consistency and convergence rate for the estimator of nonparametric regression model based on AANA errors. As applications, the complete consistency and convergence rate for the nearest neighbor estimator are obtained.

引用

页码：1285 / 1307

页数：22

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