Consistency properties for the wavelet estimator in nonparametric regression model with dependent errors

被引：0

作者：

He, Qihui ^{[1
]}

Chen, Mingming ^{[1
]}

机构：

[1] Anhui Acad Governance, Dept Foundat Teaching, Hefei 230059, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Mean consistency; Complete consistency; Rate of consistency; Nonparametric regression model; m-extended negative dependence; UNIFORMLY ASYMPTOTIC NORMALITY; COMPLETE MOMENT CONVERGENCE; PRECISE LARGE DEVIATIONS; RANDOM-VARIABLES; SUMS;

D O I：

10.1186/s13660-021-02603-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the pth mean consistency, complete consistency, and the rate of complete consistency for the wavelet estimator in a nonparametric regression model with m-extended negatively dependent random errors. We show that the best rates can be nearly O(n(-1/3)) under some general conditions. The results obtained in the paper markedly improve and extend some corresponding ones to a much more general setting.

引用

页数：15

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