鞅差序列随机加权和的完全收敛性和完全矩收敛性。

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-07-13 DOI:10.1186/s13660-018-1770-3

Huanhuan Ma, Yan Sun

引用次数: 3

摘要

本文推广了关于完全收敛的一些已知结果，建立了随机加权和鞅差序列的完全收敛性和完全矩收敛性。我们的结果可以推广与Hsu-Robbins-Erdös强定律和鞅的Baum-Katz型定理有关的一些结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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-Erdös strong laws and Baum-Katz type theorems for martingales.

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来源期刊

Journal of Inequalities and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.30

自引率

6.20%

发文量

136

审稿时长

3 months

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.