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.

引用

页数：12

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