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Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.4198
Fulltext available Open Access https://creativecommons.org/licenses/by-nc-nd/4.0/
DC FieldValueLanguage
dc.contributor.authorPianoforte, Federico-
dc.contributor.authorSchulte, Matthias-
dc.date.accessioned2022-03-07T06:14:33Z-
dc.date.available2022-03-07T06:14:33Z-
dc.date.issued2022-02-07-
dc.identifier.citationStochastic Processes and their Applications 147: 388-422 (2022-05-01)de_DE
dc.identifier.issn0304-4149de_DE
dc.identifier.urihttp://hdl.handle.net/11420/11789-
dc.description.abstractThis article employs the relation between probabilities of two consecutive values of a Poisson random variable to derive conditions for the weak convergence of point processes to a Poisson process. As applications, we consider the starting points of k-runs in a sequence of Bernoulli random variables, point processes constructed using inradii and circumscribed radii of inhomogeneous Poisson–Voronoi tessellations and large nearest neighbor distances in a Boolean model of disks.en
dc.language.isoende_DE
dc.publisherElsevierde_DE
dc.relation.ispartofStochastic processes and their applicationsde_DE
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/de_DE
dc.subjectBoolean modelde_DE
dc.subjectExtremesde_DE
dc.subjectInhomogeneous Poisson–Voronoi tessellationde_DE
dc.subjectLocal dependencede_DE
dc.subjectPoisson process convergencede_DE
dc.subjectStochastic geometryde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleCriteria for Poisson process convergence with applications to inhomogeneous Poisson–Voronoi tessellationsde_DE
dc.typeArticlede_DE
dc.identifier.doi10.15480/882.4198-
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.identifier.urnurn:nbn:de:gbv:830-882.0173636-
tuhh.oai.showtruede_DE
tuhh.abstract.englishThis article employs the relation between probabilities of two consecutive values of a Poisson random variable to derive conditions for the weak convergence of point processes to a Poisson process. As applications, we consider the starting points of k-runs in a sequence of Bernoulli random variables, point processes constructed using inradii and circumscribed radii of inhomogeneous Poisson–Voronoi tessellations and large nearest neighbor distances in a Boolean model of disks.de_DE
tuhh.publisher.doi10.1016/j.spa.2022.01.020-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.identifier.doi10.15480/882.4198-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume147de_DE
tuhh.container.startpage388de_DE
tuhh.container.endpage422de_DE
dc.rights.nationallicensefalsede_DE
dc.identifier.scopus2-s2.0-85124655817de_DE
local.status.inpressfalsede_DE
local.type.versionpublishedVersionde_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.languageiso639-1en-
item.creatorGNDPianoforte, Federico-
item.creatorGNDSchulte, Matthias-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairetypeArticle-
item.creatorOrcidPianoforte, Federico-
item.creatorOrcidSchulte, Matthias-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.cerifentitytypePublications-
crisitem.author.deptMathematik E-10-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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