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Strong Law of Large Numbers for a 2-Dimensional Array of Pairwise Negatively Dependent Random Variables
Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
- 1 Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
- 2 Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
- 3 Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok, Thailand
Open Journal of Statistics·Volume 03 (2013)·Pages 42–46·Published 20 February 2013·DOI10.4236/ojs.2013.31006
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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.
KeywordsStrong Law of Large NumbersNegatively Dependent2-Dimensional Array of Random Variables
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