Some mean convergence theorems for weighted sums of Banach space valued random elements

被引：2

作者：

Chen, Pingyan ^{[1
]}

Cabrera, Manuel Ordonez ^{[2
]}

Rosalsky, Andrew ^{[3
]}

Volodin, Andrei ^{[4
]}

机构：

[1] Jinan Univ, Dept Math, Guangzhou, Peoples R China

[2] Univ Seville, Dept Math Anal, Seville, Spain

[3] Univ Florida, Dept Stat, Gainesville, FL 32611 USA

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

来源：

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES | 2022年 / 94卷 / 04期

关键词：

Mean convergence; Banach space valued random element; martingale difference sequence; Rademacher type p Banach space; martingale type p Banach space; LARGE NUMBERS; STRONG LAW; WEAK LAWS; INTEGRABILITY;

D O I：

10.1080/17442508.2021.1960348

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this correspondence, we investigate mean convergence of order p for the weighted sums of Banach space valued random elements under a suitable (compactly) uniformly integrable condition with or without a geometric condition placed on the Banach space.

引用

页码：559 / 577

页数：19

共 27 条

[1] A mean convergence theorem and weak law for arrays of random elements in martingale type p Banach spaces [J].