About: Inhomogeneity in spatial Cox point processes - location dependent thinning is not the only option

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the literature on point processes the by far most popular option for introducing inhomogeneity into a point process model is the location dependent thinning (resulting in a second-order intensity-reweighted stationary point process). This produces a very tractable model and there are several fast estimation procedures available. Nevertheless, this model dilutes the interaction (or the geometrical structure) of the original homogeneous model in a special way. When concerning the Markov point processes several alternative inhomogeneous models were suggested and investigated in the literature. But it is not so for the Cox point processes, the canonical models for clustered point patterns. In the contribution we discuss several other options how to define inhomogeneous Cox point process models that result in point patterns with different types of geometric structure. We further investigate the possible parameter estimation procedures for such models. In the literature on point processes the by far most popular option for introducing inhomogeneity into a point process model is the location dependent thinning (resulting in a second-order intensity-reweighted stationary point process). This produces a very tractable model and there are several fast estimation procedures available. Nevertheless, this model dilutes the interaction (or the geometrical structure) of the original homogeneous model in a special way. When concerning the Markov point processes several alternative inhomogeneous models were suggested and investigated in the literature. But it is not so for the Cox point processes, the canonical models for clustered point patterns. In the contribution we discuss several other options how to define inhomogeneous Cox point process models that result in point patterns with different types of geometric structure. We further investigate the possible parameter estimation procedures for such models. (en)
Title	Inhomogeneity in spatial Cox point processes - location dependent thinning is not the only option Inhomogeneity in spatial Cox point processes - location dependent thinning is not the only option (en)
skos:prefLabel	Inhomogeneity in spatial Cox point processes - location dependent thinning is not the only option Inhomogeneity in spatial Cox point processes - location dependent thinning is not the only option (en)
skos:notation	RIV/00216208:11320/10:10052034!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GP201/08/P100), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Prokešová, Michaela
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	264016
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10052034
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	option; only; the; not; thinning; dependent; location; processes; point; Cox; spatial; Inhomogeneity (en)
http://linked.open.../riv/klicoveSlovo	Inhomogeneity spatial dependent option Cox not the thinning processes only location point
http://linked.open...odStatuVydavatele	SI - Slovinská republika
http://linked.open...ontrolniKodProRIV	[A548834EF7E5]
http://linked.open...i/riv/nazevZdroje	Image Analysis and Stereology
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling and statistical inference for spatial Cox point processes
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	29
http://linked.open...iv/tvurceVysledku	Prokešová, Michaela
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	1580-3139
number of pages	9 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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