On the Mean Convergence for Double Arrays of Dependent Random Variables

被引：0

作者：

Hien, Nguyen Thi Thanh ^{[1
]}

机构：

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

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 09期

关键词：

double array; mean convergence; weak law of large numbers; dependent random variables; WEIGHTED SUMS; LARGE NUMBERS; WEAK LAWS; THEOREMS;

D O I：

10.1134/S1995080224604855

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a weak law of large numbers and a mean convergence theorem for double arrays of random variables satisfying Condition (G(2)) , where 1 <= p < 2. The main results establish a double sum version of Theorems 2.1 and 2.2 of Thanh [Statistical Papers, 2023, https://doi.org/10.1007/s00362-023-01427-y].

引用

页码：4127 / 4133

页数：7

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