On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

ZHENG Lu-lu, XU Chen, HUANG Xu-feng, WANG Xue-jun

doi:10.13371/j.cnki.chin.q.j.m.2014.04.014

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 4: 592 - 601

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.014

On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

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School of Mathematical Science, Anhui University

ZHENG Lu-lu(1989-), female, native of Hefei, Anhui, M.S.D., engages in probability limit theorem; WANG Xue-jun(1981-), male, native of Hefei, Anhui, an associate professor of Anhui Universiry, Ph.D., engages in probability limit theorem.

Received date: 2013-04-21

Online published: 2020-11-26

Supported by

Supported by the National Natural Science Foundation of China(11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03)； Supported by the Research Teaching Model Curriculum of Anhui University(xjyjkc1407)； Supported by the Students Science Research Training Program of Anhui University(KYXL2014017)；

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Abstract

A general result on the strong convergence rate and complete convergence for arrays of rowwise extended negatively dependent random variables is established. As applications, some well-known results on negatively dependent random variables can be easily extended to the case of arrays of rowwise extended negatively dependent random variables.

Key words： extended negatively dependent random variables; negatively dependent; complete convergence

Cite this article

ZHENG Lu-lu, XU Chen, HUANG Xu-feng, WANG Xue-jun . On the Strong Rates of Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(4) : 592 -601 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.014

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