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

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

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）；

Abstract

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

CLC Number:

O211.5

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.

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

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