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Central Limit Theorem for the Sum of a Random Number of Dependent Random VariablesKeywords: characteristic function , probability , dependent random variables , Central limit theorem , random index Abstract: 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.
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