%0 Journal Article %T Central Limit Theorem for the Sum of a Random Number of Dependent Random Variables %A Yilun Shang %J Asian Journal of Mathematics & Statistics %D 2011 %I Asian Network for Scientific Information %X In this study, the central limit theorem for certain classes of dependent random variables is explored. The dependency structure, as defined in the class of random variables can be reflected in some physical phenomena. Sufficient conditions for the sum of a random number of dependent random variables tending to normality are provided. %K characteristic function %K probability %K dependent random variables %K Central limit theorem %K random index %U http://docsdrive.com/pdfs/ansinet/ajms/2011/168-173.pdf