Consistency of the Priestley-Chao estimator in nonparametric regression model with widely orthant dependent errors

被引：6
|
作者：
He, Qihui [1 ]
机构：
[1] Anhui Inst Econ Management, Dept Foundat Teaching, Hefei, Anhui, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
关键词：
Strong consistency; Complete consistency; Rate; Nonparametric regression model; Widely orthant dependent; COMPLETE MOMENT CONVERGENCE; RANDOM-VARIABLES;
D O I：
10.1186/s13660-019-2016-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish the strong consistency and complete consistency of the Priestley-Chao estimator in nonparametric regression model with widely orthant dependent errors under some general conditions. We also obtain the rates of strong consistency and complete consistency. We show that the rates can approximate to under appropriate conditions. The results obtained in the paper improve or extend the corresponding ones to widely orthant dependent assumptions.
引用
收藏
页数：13
相关论文
共 50 条
12345