THE MEAN CONSISTENCY OF THE WEIGHTED ESTIMATOR IN THE FIXED DESIGN REGRESSION MODELS BASED ON m-END ERRORS

被引：5
|
作者：
Xu, Weifeng [1 ]
Wu, Yi [1 ]
Zhang, Rui [1 ]
Jiang, Huiling [1 ]
Wang, Xuejun [2 ]
机构：
[1] Anhui Univ, Wendian Coll, Hefei 230601, Anhui, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 03期
基金：
中国国家自然科学基金;
关键词：
m-extended negatively dependent random variables; fixed design regression models; mean consistency; nearest neighbor estimator; COMPLETE CONVERGENCE; RANDOM-VARIABLES; ARRAYS; SUMS;
D O I：
10.7153/jmi-2018-12-58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some moment inequalities for m-extended negatively dependent (m-END, for short) random variables are established which can be applied to investigate the nonparametric regression models based on m-END errors. Some results on mean consistency for the estimator in nonparametric regression models are presented. As an application, the consistency for the nearest neighbor estimator is obtained.
引用
收藏
页码：765 / 775
页数：11
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