The consistency of the estimators in semiparametric regression model based on m-asymptotic negatively associated errors

被引：0
作者：
Feng, Jiayi [1 ]
Shen, Aiting [2 ,3 ]
Wang, Dantong [1 ]
Wang, Xuejun [2 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei, Peoples R China
[2] Anhui Univ, Sch Big Data & Stat, Hefei, Peoples R China
[3] Anhui Univ, Sch Big Data & Stat, Hefei 230601, Peoples R China
来源：
STOCHASTIC MODELS | 2025年 / 41卷 / 01期
关键词：
Mean consistency; m-asymptotic negatively associated random variables; semiparametric regression model; strong consistency m;
D O I：
10.1080/15326349.2024.2325449
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article, we analyze the strong consistency and r-th (r > 1) mean consistency for the estimators beta(u, n) and g(u,n) of beta and g, respectively, based on m-asymptotic negatively associated errors. Furthermore, the convergence rate for the strong consistency of the estimators is also considered. The results obtained in this article extend the corresponding ones for rho*-mixing random variables and other dependent sequences.
引用
收藏
页码：58 / 84
页数：27
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