Generalized weak laws of large numbers in Hilbert spaces

被引：0

作者：

Chang, Mengmeng ^{[1
,2
]}

Miao, Yu ^{[1
,3
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

[2] Anyang Inst Technol, Coll Math & Informat Sci, Anyang 455000, Henan, Peoples R China

[3] Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contro, Xinxiang 453007, Henan, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2023年 / 197卷

基金：

中国国家自然科学基金;

关键词：

Weak law of large numbers; Coordinatewise widely orthant dependent  random vectors; Pairwise and coordinatewise negative; dependent random vectors; Hilbert space; COMPLETE MOMENT CONVERGENCE; DEPENDENT RANDOM-VARIABLES; RANDOM VECTORS; SURE CONVERGENCE; SUMS;

D O I：

10.1016/j.spl.2023.109830

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, the weak laws of large numbers for weighted sums and random sums of H-valued dependent random vectors are established, which include and generalize some known results. As an application, the concept of CWOD random vectors is introduced and the corresponding weak laws of large numbers for weighted sums and random sums cases are obtained. Furthermore, to complete the work of Anh and Hien (2021), the weak law of large numbers for random sums of PCND random vectors is also presented.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：10

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