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Mark variograms for spatio-temporal point processes
dc.contributor.author | Stoyan, D. | |
dc.contributor.author | Rodríguez-Cortés, Francisco Javier | |
dc.contributor.author | Mateu, Jorge | |
dc.contributor.author | Gille, Wilfried | |
dc.date.accessioned | 2017-05-12T18:04:32Z | |
dc.date.available | 2017-05-12T18:04:32Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | STOYAN, Dietrich, et al. Mark variograms for spatio-temporal point processes. Spatial Statistics, 2017, vol. 20, p. 125-147 | ca_CA |
dc.identifier.issn | 2211-6753 | |
dc.identifier.uri | http://hdl.handle.net/10234/167553 | |
dc.description.abstract | A 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.sponsorShip | Work partially funded by Grant MTM2013-43917-P from the Spanish Ministry of Science and Education, and Grant P1-1B2015-40. | ca_CA |
dc.format.extent | 23 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Spatial Statistics, 2017, vol. 20 | ca_CA |
dc.rights | © 2017 Elsevier B.V. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Earthquakes | ca_CA |
dc.subject | Foot-and-mouth disease | ca_CA |
dc.subject | Mark variogram | ca_CA |
dc.subject | Marking | ca_CA |
dc.subject | Second-order characteristics | ca_CA |
dc.subject | Spatio-temporal point patterns | ca_CA |
dc.title | Mark variograms for spatio-temporal point processes | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.spasta.2017.02.006 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S2211675317300696 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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