NOD误差下非参数回归函数积分权估计的完全相合性  

The Complete Consistency of Integral Weight Estimator of Nonparametric Regression Function Under NOD Errors

作　　者：张水利 屈聪 ZHANG Shui-li;QU Cong(School of Mathematics and Statistics,Pingdingshan University,Pingdingshan 467000,China)

机构地区：[1]平顶山学院数学与统计学院,河南平顶山467000

出　　处：《数学的实践与认识》2022年第3期216-221,共6页Mathematics in Practice and Theory

摘　　要：在误差为NOD序列的条件下,对Gassor和Müller提出的一类非参数回归函数积分权估计进行研究.利用截尾方法和NOD序列的指数不等式,得到了非参数回归函数积分权估计的完全相合性,结果推广和拓展了已有的相关结论.In this paper,we studied the integral weight estimators of nonparametric regression functions which is proposed by Gassor and Müller under NOD errors.By using truncation method and exponential inequality of NOD sequence,we obtained the complete consistency of integral weight estimators of nonparametric regression functions,the results extended the existing related conclusions.

关 键 词：NOD序列 非参数回归模型 完全相合性 积分权估计 

分 类 号：O212.1[理学—概率论与数理统计]