Some interaction models for clustered point patterns

dc.contributor.authorGrabarnik, Pavel
dc.contributor.authorSärkkä, Aila
dc.date.accessioned2011-02-18T11:58:53Z
dc.date.available2011-02-18T11:58:53Z
dc.date.issued1998-08-01
dc.description.abstractWe introduce a class of spatial point processes, interacting neighbour processes, where the density of the process can be written by means of local interactions between a point and subsets of its neighbourhood but where the processes are not Markov processes with respect to this neighbourhood in the Ripley-Kelly sense. However, we show that the processes are nearest neighbour Markov processes as introduced by Baddeley and Moller (1989). Furthermore, we introduce a subclass of interacting neighbour processes, full neighbourhood interaction processes, where instead of subsets of the neighbourhood all neighbours of a point affect it simultaneously. A simulation study is presented to show that some simple full neighbourhood interaction models can produce clustered patterns of great variety. Finally, an empirical example is given.sv
dc.format.extent24sv
dc.identifier.issn0349-8034
dc.identifier.urihttp://hdl.handle.net/2077/24538
dc.language.isoengsv
dc.publisherUniversity of Gothenburgsv
dc.relation.ispartofseriesResearch Reportsv
dc.relation.ispartofseries1998:8sv
dc.subjectClustered point patternssv
dc.subjectlocal interactionssv
dc.subjectstatic and dynamic neighbourssv
dc.subjectRipley-Kelly Markov processessv
dc.subjectearest neighbour Markov processessv
dc.titleSome interaction models for clustered point patternssv
dc.typeTextsv
dc.type.svepreportsv

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