m-NA随机变量加权和的强收敛性

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

数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 265-273.doi: 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

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

收稿日期:2012-11-26 出版日期:2014-06-30 发布日期:2023-04-10
作者简介:WU Yong-feng(1977-), male, native of Zhongyang, Anhui, an associate professor of Tongling University, M.S.D., engages in probability limit theory
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)

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

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

Received:2012-11-26 Online:2014-06-30 Published:2023-04-10
About author:WU Yong-feng(1977-), male, native of Zhongyang, Anhui, an associate professor of Tongling University, M.S.D., engages in probability limit theory
Supported by:
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)

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O211.4

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.

WU Yong-feng. On the Strong Laws for Weighted Sums of m-negatively Associated Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 265-273.

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m-NA随机变量加权和的强收敛性

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

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