The limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions

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dc.creatorMaejima, Makoto
dc.creatorSato, Ken-iti
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:50Z
dc.date.available2026-07-07T08:46:50Z
dc.descriptionIt is shown that the limits of the nested subclasses of five classes of infinitely divisible distributions on $R^d$, which are the Jurek class, the Goldie-Steutel-Bondesson class, the class of selfdecomposable distributions, the Thorin class and the class of generalized type $G$ distributions, are identical with the closure of the class of stable distributions. More general results are also given.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0712.0206
dc.identifierhttp://arxiv.org/abs/0712.0206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143389
dc.subjectProbability
dc.subject60E07
dc.titleThe limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions
dc.typetext

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