On Sampling of stationary increment processes

dc.creatorAlbin, J. M. P.
dc.date2005-03-24
dc.date.accessioned2026-07-07T05:18:23Z
dc.date.available2026-07-07T05:18:23Z
dc.descriptionUnder a complex technical condition, similar to such used in extreme value theory, we find the rate q(ε)^{-1} at which a stochastic process with stationary increments ξshould be sampled, for the sampled process ξ(\lfloor\cdot /q(ε)\rfloor q(ε)) to deviate from ξby at most ε, with a given probability, asymptotically as ε\downarrow0. The canonical application is to discretization errors in computer simulation of stochastic processes.
dc.descriptionPublished at http://dx.doi.org/10.1214/105051604000000468 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/0503554
dc.identifierhttp://arxiv.org/abs/math/0503554
dc.identifierAnnals of Applied Probability 2004, Vol. 14, No. 4, 2016-2037
dc.identifierdoi:10.1214/105051604000000468
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74644
dc.subjectProbability
dc.subject60G10, 60G70 (Primary) 60G15, 68U20. (Secondary)
dc.titleOn Sampling of stationary increment processes
dc.typetext

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