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dc.contributor.authorStoyan, D.
dc.contributor.authorRodríguez Cortés, Francisco Javier
dc.contributor.authorMateu, Jorge
dc.contributor.authorGille, Wilfried
dc.date.accessioned2017-05-12T18:04:32Z
dc.date.available2017-05-12T18:04:32Z
dc.date.issued2017
dc.identifier.citationSTOYAN, Dietrich, et al. Mark variograms for spatio-temporal point processes. Spatial Statistics, 2017, vol. 20, p. 125-147ca_CA
dc.identifier.issn2211-6753
dc.identifier.urihttp://hdl.handle.net/10234/167553
dc.description.abstractA spatio-temporal point process can be transformed into two marked point processes by taking the times or locations as marks. For these marked point processes mark variograms can be defined, opening a new way for the statistical analysis of spatio-temporal point processes. We present first the theoretical forms of the variograms for some models of spatio-temporal point processes, in order to help understanding empirical variograms. Then we study statistical problems. The used ratio-estimator for the variograms has a form that makes it possible to partially ignore inhomogeneities and edge-effects. Two data examples which were already studied with traditional methods in the point-process literature are reanalysed with the two mark variograms, showing their explorative power.ca_CA
dc.description.sponsorShipWork partially funded by Grant MTM2013-43917-P from the Spanish Ministry of Science and Education, and Grant P1-1B2015-40.ca_CA
dc.format.extent23 p.ca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfSpatial Statistics, 2017, vol. 20ca_CA
dc.rights© 2017 Elsevier B.V. All rights reserved.ca_CA
dc.subjectEarthquakesca_CA
dc.subjectFoot-and-mouth diseaseca_CA
dc.subjectMark variogramca_CA
dc.subjectMarkingca_CA
dc.subjectSecond-order characteristicsca_CA
dc.subjectSpatio-temporal point patternsca_CA
dc.titleMark variograms for spatio-temporal point processesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.spasta.2017.02.006
dc.rights.accessRightsinfo:eu-repo/semantics/restrictedAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S2211675317300696ca_CA


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