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

被引：1
|
作者：
Anh, Vo Thi Van [1 ]
Tu, Nguyen Ngoc [1 ]
机构：
[1] HCMC Univ Technol & Educ, Dept Appl Sci, 01 Vo Ngan St, Ho Chi Minh City, Vietnam
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 03期
关键词：
Mean convergence; Weak law of large numbers; Banach space-valued random element; Maximum normed partial sum; RANDOM-VARIABLES; DOUBLE SUMS; MARCINKIEWICZ;
D O I：
10.1007/s40840-023-01484-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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页数：12
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