m-NA随机变量加权和的强收敛性

吴永锋

doi:10.13371/j.cnki.chin.q.j.m.2014.02.017

数学季刊 >

2014 , Vol. 29 >Issue 2: 265 - 273

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.017

m-NA随机变量加权和的强收敛性

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Department of Mathematics and Computer Science, Tongling University; Center for Financial Engineering and School of Mathematical Sciences, Soochow University

WU Yong-feng(1977-), male, native of Zhongyang, Anhui, an associate professor of Tongling University, M.S.D., engages in probability limit theory

收稿日期: 2012-11-26

网络出版日期: 2023-04-10

基金资助

Supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(12YJCZH217)； Supported by the Natural Science Foundation of Anhui Province(1308085MA03)； Supported by the Key Natural Science Foundation of Educational Committe of Anhui Province(KJ2014A255)

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On the Strong Laws for Weighted Sums of m-negatively Associated Random Variables

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Department of Mathematics and Computer Science, Tongling University; Center for Financial Engineering and School of Mathematical Sciences, Soochow University

WU Yong-feng(1977-), male, native of Zhongyang, Anhui, an associate professor of Tongling University, M.S.D., engages in probability limit theory

Received date: 2012-11-26

Online published: 2023-04-10

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摘要

In this article, the author establishes the strong laws for linear statistics that are weighted sums of a m-negatively associated(m-NA) random sample. The obtained results extend and improve the result of Qiu and Yang in [1] to m-NA random variables.

关键词： Marcinkiewicz-Zygmund strong law; complete convergence; weighted sums; m-negatively associated random variable

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吴永锋 . m-NA随机变量加权和的强收敛性[J]. 数学季刊, 2014 , 29(2) : 265 -273 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.02.017

Abstract

Key words： Marcinkiewicz-Zygmund strong law; complete convergence; weighted sums; m-negatively associated random variable

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