A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method
Probability
2007-09-03 v1 Operator Algebras
Abstract
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random variables proved by Voiculescu. The Central Limit Theorem in this paper relies on an assumption which is weaker than freeness.
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Cite
@article{arxiv.math/0703345,
title = {A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method},
author = {Vladislav Kargin},
journal= {arXiv preprint arXiv:math/0703345},
year = {2007}
}
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14 pages