Mean Convergence and Weak Laws of Large Numbers for Multidimensional Arrays of Random Elements

被引：0
|
作者：
Vo Thi Van Anh
Nguyen Ngoc Tu
机构：
[1] HCMC University of Technology and Education,Department of Applied Sciences
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2023年 / 46卷
关键词：
Mean convergence; Weak law of large numbers; Banach space-valued random element; Maximum normed partial sum; 60F05; 60F25; 60B11; 60B12;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper establishes mean convergence theorems and weak laws of large numbers for the maximum normed partial sums from a d-dimensional array of random elements taking values in a real separable Banach space, irrespective of their joint distributions. The main results extend and improve several ones in the literature. The sharpness of the results is illustrated by three examples.
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