NSD变量加权和的完全收敛性

王嫱, 周德霞, 杜玲, 潇如, 王学军

doi:10.13371/j.cnki.chin.q.j.m.2016.04.004

数学季刊 >

2016 , Vol. 31 >Issue 4: 359 - 368

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.04.004

NSD变量加权和的完全收敛性

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School of Mathematical Sciences,Anhui University

WANG Qiang(1993-), female, native of Nantong, Jiangsu, B.S.D., engages in statistics; WANG Xue-jun (1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability theory and mathematical statistics.

收稿日期: 2014-06-30

网络出版日期: 2020-10-30

基金资助

Supported by the Natural Science Foundation of Anhui Province(1508085J06)； Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Innovative Training Project of Anhui

University(201510357118)；

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Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables

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School of Mathematical Sciences,Anhui University

Received date: 2014-06-30

Online published: 2020-10-30

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摘要

In the paper, the complete convergence for the maximum of weighted sums of negatively superadditive dependent(NSD, in short) random variables is investigated by using the Rosenthal type inequality. Some sufficient conditions are presented to prove the complete convergence. The result obtained in the paper generalizes some corresponding ones for independent random variables and negatively associated random variables.

关键词： negatively superadditive dependent random variables; Rosenthal-type inequality; complete convergence

本文引用格式

王嫱, 周德霞, 杜玲, 潇如, 王学军 . NSD变量加权和的完全收敛性[J]. 数学季刊, 2016 , 31(4) : 359 -368 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.004

Abstract

Key words： negatively superadditive dependent random variables; Rosenthal-type inequality; complete convergence

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