Random rewards, fractional Brownian local times and stable self-similar processes

dc.creatorCohen, Serge
dc.creatorSamorodnitsky, Gennady
dc.date2006-10-09
dc.date.accessioned2026-07-07T07:28:51Z
dc.date.available2026-07-07T07:28:51Z
dc.descriptionWe describe a new class of self-similar symmetric $α$-stable processes with stationary increments arising as a large time scale limit in a situation where many users are earning random rewards or incurring random costs. The resulting models are different from the ones studied earlier both in their memory properties and smoothness of the sample paths.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051606000000277 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0610272
dc.identifierhttp://arxiv.org/abs/math/0610272
dc.identifierAnnals of Applied Probability 2006, Vol. 16, No. 3, 1432-1461
dc.identifierdoi:10.1214/105051606000000277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117888
dc.subjectProbability
dc.subject60G18 (Primary) 60G52, 60G17 (Secondary)
dc.titleRandom rewards, fractional Brownian local times and stable self-similar processes
dc.typetext

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