Renewal processes of Mittag-Leffler and Wright type

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dc.creatorMainardi, Francesco
dc.creatorGorenflo, Rudolf
dc.creatorVivoli, Alessandro
dc.date2007-01-16
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:19Z
dc.date.available2026-07-07T07:43:19Z
dc.descriptionAfter sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding renewal processes with reward and numerically their long-time behaviour.
dc.description31 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0701455
dc.identifierhttp://arxiv.org/abs/math/0701455
dc.identifierFractional Calculus and Applied Analysis, Vol. 8 No 1 (2005), pp. 7-38
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122777
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject26A33; 33E12; 44A10; 60G50; 60J05; 60K05
dc.titleRenewal processes of Mittag-Leffler and Wright type
dc.typetext

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