Mark variograms for spatio-temporal point processes
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Scholar |
Altres documents de l'autoria: Stoyan, D.; Rodríguez-Cortés, Francisco Javier; Mateu, Jorge; Gille, Wilfried
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https://doi.org/10.1016/j.spasta.2017.02.006 |
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Títol
Mark variograms for spatio-temporal point processesData de publicació
2017Editor
ElsevierISSN
2211-6753Cita bibliogràfica
STOYAN, Dietrich, et al. Mark variograms for spatio-temporal point processes. Spatial Statistics, 2017, vol. 20, p. 125-147Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S2211675317300696Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Spatial Statistics, 2017, vol. 20Drets d'accés
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