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A Review on asymptotic normality of sums of associated random variables

Gane Samb Lo, Harouna Sangare, Cheikhna Hamallah Ndiaye

Abstract


Association between random variables is a generalization of independence of these random variables. This concept is more and more commonly used in current trends in any research elds in Statistics. In this paper, we proceed to a simple, clear and rigorous introduction to it. We will present the fundamental asymptotic normality theorem on stationary and associated sequences of random variables. A coherent and modern frame is used. This review will be protable to new resarchers in the topic.

Keywords: Positive and Negative Dependence; Association; Central Limit Theorem




http://dx.doi.org/10.16929/as/2016.855.79
AJOL African Journals Online