Large deviations for processes with discontinuous statistics

dc.creatorIgnatiouk-Robert, Irina
dc.date2004-09-21
dc.date2005-08-25
dc.date.accessioned2026-07-07T05:12:25Z
dc.date.available2026-07-07T05:12:25Z
dc.descriptionThis paper is devoted to the problem of sample path large deviations for the Markov processes on R_+^N having a constant but different transition mechanism on each boundary set {x:x_i=0 for i\notinΛ, x_i>0 for i\inΛ}. The global sample path large deviation principle and an integral representation of the rate function are derived from local large deviation estimates. Our results complete the proof of Dupuis and Ellis of the sample path large deviation principle for Markov processes describing a general class of queueing networks.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117905000000189 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0409392
dc.identifierhttp://arxiv.org/abs/math/0409392
dc.identifierAnnals of Probability 2005, Vol. 33, No. 4, 1479-1508
dc.identifierdoi:10.1214/009117905000000189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72566
dc.subjectProbability
dc.subject60F10 (Primary) 60J15, 60K35 (Secondary)
dc.titleLarge deviations for processes with discontinuous statistics
dc.typetext

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