AANA随机变量阵列的强大数定律

陈志勇, 刘婷婷, 王学军, 李晓琴

doi:10.13371/j.cnki.chin.q.j.m.2014.04.001

数学季刊 >

2014 , Vol. 29 >Issue 4: 475 - 485

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.001

AANA随机变量阵列的强大数定律

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School of Mathematical Science, Anhui University

CHEN Zhi-yong(1986-), male, native of Putian, Fujian, M.S.D., engages in probability limit theorem.

收稿日期: 2013-04-02

网络出版日期: 2020-11-25

基金资助

Supported by the National Natural Science Foundation of China(11171001,11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03)； Supported by the Talents Youth Fund of Anhui Province Universities(2012SQRL204)； Supported by th Doctoral Research Start-up Funds Projects of Anhui University（33190250）；

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Strong Law of Large Numbers for Array of Rowwise AANA Random Variables

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School of Mathematical Science, Anhui University

CHEN Zhi-yong(1986-), male, native of Putian, Fujian, M.S.D., engages in probability limit theorem.

Received date: 2013-04-02

Online published: 2020-11-25

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摘要

In this article, the strong laws of large numbers for array of rowwise asymptotically almost negatively associated(AANA) random variables are studied. Some sufficient conditions for strong laws of large numbers for array of rowwise AANA random variables are presented without assumption of identical distribution. Our results extend the corresponding ones for independent random variables to case of AANA random variables.

关键词： AANA random variables; array of rowwise AANA random variables; strong law of large numbers

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陈志勇, 刘婷婷, 王学军, 李晓琴 . AANA随机变量阵列的强大数定律[J]. 数学季刊, 2014 , 29(4) : 475 -485 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.001

Abstract

Key words： AANA random variables; array of rowwise AANA random variables; strong law of large numbers

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