On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application

被引：1

作者：

Son Cong Ta ^{[1
]}

Cuong Manh Tran ^{[1
]}

Dung Van Le ^{[2
]}

Chien Van Ta ^{[1
]}

机构：

[1] Vietnam Natl Univ, Univ Sci, Fac Math Mech & Informat, Hanoi, Vietnam

[2] Univ Da Nang, Univ Sci & Educ, Fac Math, Da Nang, Vietnam

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 23期

关键词：

Hilbert spaces; negative quadrant dependence; strong laws of large numbers; weighted sums; LARGE NUMBERS; RANDOM VECTORS; STRONG LAW; SURE CONVERGENCE; WEAK LAWS;

D O I：

10.1080/03610926.2022.2062604

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 investigate complete convergence and strong laws of large numbers for weighted sums of coordinatewise pairwise negative quadrant dependent random variables taking values in Hilbert spaces. As an application, the complete convergence and the almost sure convergence of degenerate von Mises-statistics are investigated.

引用

页码：8371 / 8387

页数：17

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