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An extension of the digital method based on b-adic integers

dc.contributor.authorHofer, Roswitha
dc.contributor.authorPirsic, Ísabel 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-03-11T14:20:18Z
dc.date.available2025-03-11T14:20:18Z
dc.date.issued2018-06
dc.identifier.issn1336-913X
dc.identifier.issn2309-5377
dc.identifier.urihttps://hdl.handle.net/10902/35963
dc.description.abstractWe introduce a hybridization of digital sequences with uniformly distributed sequences in the domain of b-adic integers, Zb, b ∈ N \ {1}, by using such sequences as input for generating matrices. The generating matrices are then naturally required to have finite row-lengths. We exhibit some relations of the ‘classical’ digital method to our extended version, and also give several examples of new constructions with their respective quality assessments in terms of t, T and discrepancy.es_ES
dc.description.sponsorshipWe would like to thank the anonymous referees, whose suggestions helped to improve the quality of the paper. The first author is supported by the Austrian Science Fund (FWF): Project F5505-N26, which is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications”, the second by the Austrian Science Fund (FWF): Project F5511-N26, which is a part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications” as well as Project P27351-N26.es_ES
dc.format.extent21 p.es_ES
dc.language.isoenges_ES
dc.publisherDe Gruyter Briles_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationales_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceUniform Distribution Theory, 2018, 13(1), 87-107es_ES
dc.subject.otherQuasi-Monte Carlo methodses_ES
dc.subject.otherConstructiones_ES
dc.subject.otherDigital methodes_ES
dc.subject.otherDigit expansiones_ES
dc.subject.otherq-adic integerses_ES
dc.titleAn extension of the digital method based on b-adic integerses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1515/udt-2018-0005es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1515/udt-2018-0005
dc.type.versionpublishedVersiones_ES


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