On the strong laws of large numbers for double arrays of blockwise quasi-orthogonal random variables

被引：0

作者：

Anh, Vu Thi Ngoc ^{[1
]}

Thanh, Le Van ^{[2
]}

Volodin, Andrei ^{[3
]}

机构：

[1] Hoa Lu Univ, Dept Math, Ninh Binh, Vietnam

[2] Vinh Univ, Dept Math, Vinh, Vietnam

[3] Univ Regina, Dept Math & Stat, Regina, SK, Canada

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2025年 / 97卷 / 03期

关键词：

Double array; strong law of large numbers; blockwise quasi-orthogonality; pairwise independence; STRONG LIMIT-THEOREMS;

D O I：

10.1080/17442508.2025.2452846

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the strong laws of large numbers for double arrays of random variables satisfying a very general dependence structure. The main results are new even when the underlying random variables are pairwise independent. Three illustrative examples are also presented.

引用

页码：394 / 411

页数：18

共 13 条

[1] The Marcinkiewicz-Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences [J].

Anh, Vu T. N. ;

Hien, Nguyen T. T. ;

Thanh, Le V. ;

Van, Vo T. H. .

JOURNAL OF THEORETICAL PROBABILITY, 2021, 34 (01) :331-348

[2]

Bingham Nicholas H., 1989, Encyclopedia of Mathematics and Its Applications, V27

[3] Complete convergence for the maximal partial sums without maximal inequalities [J].

Boukhari, Fakhreddine ;

Dzung, Nguyen Chi ;

Thanh, Le Van .

QUAESTIONES MATHEMATICAE, 2024, 47 (07) :1387-1402

[4]

Czerebak-Mrozowicz E. B., 2002, PROBAB MATH STAT-POL, V22, P127

[5]

Hong DH., 1999, Int. J. Math. Math. Sci, V22, P171, DOI [10.1155/S0161171299221710, DOI 10.1155/S0161171299221710]

[6]

Klesov O., 2014, LIMIT THEOREMS MULTI, VVol. 71

[7]

MORICZ F, 1981, ACTA MATH ACAD SCI H, V37, P39

[8] STRONG LIMIT-THEOREMS FOR BLOCKWISE META-DEPENDENT AND BLOCKWISE QUASIORTHOGONAL SEQUENCES OF RANDOM-VARIABLES [J].

MORICZ, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 101 (04) :709-715

[9]

MORICZ F, 1977, ACTA SCI MATH, V39, P353

[10]

Mricz F., 1991, ACTA SCI MATH, V55, P309

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