END随机阵列的强收敛性

郑璐璐, 徐陈, 黄旭峰, 王学军

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

数学季刊 >

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

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

END随机阵列的强收敛性

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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.

收稿日期: 2013-04-21

网络出版日期: 2020-11-26

基金资助

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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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

Received date: 2013-04-21

Online published: 2020-11-26

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摘要

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.

关键词： extended negatively dependent random variables; negatively dependent; complete convergence

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郑璐璐, 徐陈, 黄旭峰, 王学军 . END随机阵列的强收敛性[J]. 数学季刊, 2014 , 29(4) : 592 -601 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.014

Abstract

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

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