Exact conditions for countable inclusion-exclusion identity and extensions

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dc.creatorFriedland, Shmuel
dc.creatorKrop, Elliot
dc.date2006-02-02
dc.date.accessioned2026-07-07T07:03:03Z
dc.date.available2026-07-07T07:03:03Z
dc.descriptionWe give simple necessary and sufficient conditions for the inclusion-exclusion identity to hold for an infinite countable number of sets. In terms of a random variable, whose range are nonnegative integers, this condition is equivalent to the convergence to zero of binomial moments. Some standard extensions of the countable inclusion-exclusion identity are also given.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0602035
dc.identifierhttp://arxiv.org/abs/math/0602035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108827
dc.subjectProbability
dc.subjectCombinatorics
dc.subject05A19, 05A20, 60C05
dc.titleExact conditions for countable inclusion-exclusion identity and extensions
dc.typetext

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