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

页码：58 / 84

页数：27

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