Complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence

被引：3

作者：

Ma, Huanhuan ^{[1
]}

Sun, Yan ^{[2
]}

机构：

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

[2] Beijing Informat Sci & Technol Univ, Coll Sci, Beijing, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Martingale difference sequence; Complete convergence; Complete moment convergence; Randomly weighted sums; LARGE NUMBERS; RANDOM-VARIABLES; STRONG LAW;

D O I：

10.1186/s13660-018-1770-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend some known results about complete convergence and establish the complete convergence and complete moment convergence for randomly weighted sums of martingale difference sequence. Our results can generalize some conclusions related to Hsu-Robbins-Erdos strong laws and Baum-Katz type theorems for martingales.

引用

页数：16

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