Limit laws for boolean convolutions

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We study the distributional behavior for products, and for sums of boolean independent random variables in an infinitesimal triangular array. We show that the limit laws of boolean convolutions are determined by the limit laws of free convolutions, and vice versa. We further use these results to show several connections between the limiting distributional behavior of classical convolutions and that of boolean convolutions. The proof of our results is based on the analytical apparatus developed for free convolutions.
Second version; corrected typos

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Operator Algebras, Probability, 46L53, 46L54

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http://salesiana.dossiersoluciones.com/handle/123456789/135131

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3401
 http://arxiv.org/abs/0707.3401

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arXiv