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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables

Keywords: negatively orthant-dependent sequence , array of rowwise negatively orthant-dependent random variables , strong law of large numbers

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Abstract:

In this article, the strong limit theorems for arrays of rowwise negatively orthant-dependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables without assumptions of identical distribution and stochastic domination are presented. As an application, the Chung-type strong law of large numbers for arrays of rowwise negatively orthant-dependent random variables is obtained. MR(2000) Subject Classification: 60F15

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