An umbral setting for cumulants and factorial moments

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dc.creatorDi Nardo, E.
dc.creatorSenato, D.
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:14:54Z
dc.date.available2026-07-07T05:14:54Z
dc.descriptionWe provide an algebraic setting for cumulants and factorial moments through the classical umbral calculus. Main tools are the compositional inverse of the unity umbra, connected with the logarithmic power series, and a new umbra here introduced, the singleton umbra. Various formulae are given expressing cumulants, factorial moments and central moments by umbral functions.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0412052
dc.identifierhttp://arxiv.org/abs/math/0412052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73462
dc.subjectProbability
dc.subjectCombinatorics
dc.subject05A40, 60C05 (Primary) 62A01(Secondary)
dc.titleAn umbral setting for cumulants and factorial moments
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