TITLE:
Strong Law of Large Numbers for a 2-Dimensional Array of Pairwise Negatively Dependent Random Variables
AUTHORS:
Karn Surakamhaeng, Nattakarn Chaidee, Kritsana Neammanee
KEYWORDS:
Strong Law of Large Numbers; Negatively Dependent; 2-Dimensional Array of Random Variables
JOURNAL NAME:
Open Journal of Statistics,
Vol.3 No.1,
February
26,
2013
ABSTRACT: In this paper, we obtain the strong law of large numbers
for a 2-dimensional array of pairwise negatively dependent random variables
which are not required to be identically distributed. We found the sufficient
conditions of strong law of large numbers for the difference of random
variables which independent and identically distributed conditions are
regarded. In this study, we consider the limit as which is stronger than
the limit as m× n→∞ when m, n →∞are natural
numbers.