AANA随机变量阵列的强大数定律

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

数学季刊 ›› 2014, Vol. 29 ›› Issue (4): 475-485.doi: 10.13371/j.cnki.chin.q.j.m.2014.04.001

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AANA随机变量阵列的强大数定律

School of Mathematical Science, Anhui University

收稿日期:2013-04-02 出版日期:2014-12-30 发布日期:2020-11-25
作者简介:CHEN Zhi-yong(1986-), male, native of Putian, Fujian, M.S.D., engages in probability limit theorem.
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）；

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

School of Mathematical Science, Anhui University

Received:2013-04-02 Online:2014-12-30 Published:2020-11-25
About author:CHEN Zhi-yong(1986-), male, native of Putian, Fujian, M.S.D., engages in probability limit theorem.
Supported by:
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）；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O211.5

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.

CHEN Zhi-yong, LIU Ting-ting, WANG Xue-jun, LI Xiao-qin. Strong Law of Large Numbers for Array of Rowwise AANA Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(4): 475-485.

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[3]	檀佳欣, 黄倩, 胡琪, 杨文志. AANA随机变量移动平均过程的收敛性[J]. 数学季刊, 2017, 32(2): 152-160.

AANA随机变量阵列的强大数定律

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

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