Limit laws for boolean convolutions

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dc.creatorWang, Jiun-Chau
dc.date2007-07-23
dc.date2007-07-28
dc.date.accessioned2026-07-07T08:20:39Z
dc.date.available2026-07-07T08:20:39Z
dc.descriptionWe 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.
dc.descriptionSecond version; corrected typos
dc.identifierhttps://arxiv.org/abs/0707.3401
dc.identifierhttp://arxiv.org/abs/0707.3401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135131
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject46L53, 46L54
dc.titleLimit laws for boolean convolutions
dc.typetext

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