Strong law of large numbers for a 2-dimensional array of pairwise negatively dependent random variables

Abstract

In this work, we obtain two main theorems of strong law of large numbers for a 2-dimensional array of random variables. The first theorem is the strong law of large numbers for pairwise negatively dependent random variables which are not necessary identically distributed. The second theorem, we obtain strong law of large numbers for the difference of random variables which independent and identically distributed conditions are regarded. In this study, we use the limit as m×n tends to infinity instead of using the limit as m,n tends to infinity when m,n are natural numbers which is stronger.