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In page Central limit theorem:
"The condition f(x1, ..., xn) = f(|x1|, ..., |xn|) ensures that X1, ..., Xn are of zero mean and uncorrelated;[citation needed] still, they need not be independent, nor even pairwise independent.[citation needed] By the way, pairwise independence cannot replace independence in the classical central limit theorem.[2]
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