Process level moderate deviations for stabilizing functionals

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dc.creatorEichelsbacher, Peter
dc.creatorSchreiber, Tomasz
dc.date2006-03-16
dc.date.accessioned2026-07-07T07:06:59Z
dc.date.available2026-07-07T07:06:59Z
dc.descriptionFunctionals of spatial point process often satisfy a weak spatial dependence condition known as stabilization. In this paper we prove process level moderate deviation principles (MDP) for such functionals, which are a level-3 result for empirical point fields as well as a level-2 result for empirical point measures. The level-3 rate function coincides with the so-called specific information. We show that the general result can be applied to prove MDPs for various particular functionals, including random sequential packing, birth-growth models, germ-grain models and nearest neighbor graphs.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0603402
dc.identifierhttp://arxiv.org/abs/math/0603402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110226
dc.subjectProbability
dc.subject60F05; 60D05
dc.titleProcess level moderate deviations for stabilizing functionals
dc.typetext

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