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2007 A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method
Vladislav Kargin
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Electron. Commun. Probab. 12(none): 36-50 (2007). DOI: 10.1214/ECP.v12-1250

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.

Citation

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Vladislav Kargin. "A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method." Electron. Commun. Probab. 12 36 - 50, 2007. https://doi.org/10.1214/ECP.v12-1250

Information

Accepted: 5 March 2007; Published: 2007
First available in Project Euclid: 6 June 2016

zbMATH: 1133.46037
MathSciNet: MR2300213
Digital Object Identifier: 10.1214/ECP.v12-1250

Subjects:
Primary: 46L54
Secondary: 60F05

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