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

WU Yong-feng

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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)

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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

Cite this article

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

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