Mark variograms for spatio-temporal point processes
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Other documents of the author: Stoyan, D.; Rodríguez-Cortés, Francisco Javier; Mateu, Jorge; Gille, Wilfried
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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https://doi.org/10.1016/j.spasta.2017.02.006 |
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Title
Mark variograms for spatio-temporal point processesDate
2017Publisher
ElsevierISSN
2211-6753Bibliographic citation
STOYAN, Dietrich, et al. Mark variograms for spatio-temporal point processes. Spatial Statistics, 2017, vol. 20, p. 125-147Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S2211675317300696Version
info:eu-repo/semantics/publishedVersionSubject
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 ... [+]
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. [-]
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Spatial Statistics, 2017, vol. 20Rights
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