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

CHEN Zhi-yong, LIU Ting-ting, WANG Xue-jun, LI Xiao-qin

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

Chinese Quarterly Journal of Mathematics >

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

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

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

Expand

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

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）；

Fold

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

Cite this article

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

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article