A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method

Details A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method

2007-03-12

arxiv.org/abs/math/0703345v1

Electronic Communications in Probability, 2007, 12, 36-50

Mathematics

Probability

14 pages

Scientific paper

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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