Strong Law of Large Numbers for a 2-Dimensional Array of Pairwise Negatively Dependent Random Variables

Karn Surakamhaeng, Nattakarn Chaidee, Kritsana Neammanee

Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand.

DOI: 10.4236/ojs.2013.31006                

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.

Keywords

Strong Law of Large Numbers; Negatively Dependent; 2-Dimensional Array of Random Variables

Conflicts of Interest

The authors declare no conflicts of interest.

References

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