具有Rd中值的渐近负相关随机向量的lp收敛、完全收敛和弱大数定律

IF 1.6 3区数学 Q1 Mathematics

Journal of Inequalities and Applications Pub Date : 2018-01-01 Epub Date: 2018-05-08 DOI:10.1186/s13660-018-1699-6

Mi-Hwa Ko

引用次数: 2

摘要

本文基于具有Rd中值的渐近负相关随机向量的rosenthal型不等式，建立了部分和的极大值的lp收敛性和完全收敛性的结果。我们还得到了具有Rd中值的坐标渐近负相关随机向量的弱大数定律。

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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Lp-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd

In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in $R^{d}$ , we establish results on $L_{p}$ -convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in $R^{d}$ .

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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.