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A New Version of the Central Limit Theorem

Volume 19, Number 1 (2016), 12 - 20

A New Version of the Central Limit Theorem

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Abstract

In this short note, we present a new version of the Central Limit Theorem whose proof is based on Levy's characterization of Brownian motion. The method in the proof may allow to extend the result to a more general context, e.g. to averaged sums of properly compensated dependent random variables.