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# The Lindeberg-lévy Theorem for Martingales1

@inproceedings{BILLINGSLEY2010TheLT, title={The Lindeberg-lévy Theorem for Martingales1}, author={PATRICK BILLINGSLEY}, year={2010} }

- Published 2010

The central limit theorem of Lindeberg [7] and Levy [3] states that if {mi, m2, ■ ■ • } is an independent, identically distributed sequence of random variables with finite second moments, then the distribution of ra-1'2^^! uk approaches the normal distribution with mean 0 and variance £{m?} , assuming that £{mi} =0, which entails no loss of generality. In the following result, the assumption of indepence is weakened.

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