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].
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页码：4127 / 4133
页数：7
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