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

   
@article{ECP1250,
	author = {Vladislav Kargin},
	title = {A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {central limit theorem; Lindeberg method; free probability; free convolution; free independence},
	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.},
	pages = {no. 5, 36-50},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1250},    
        url = {http://ecp.ejpecp.org/article/view/1250}}