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2 PublicationsGeneralizations of Matérn's hard-core point processes
Teichmann, J.; Ballani, F.; van den Boogaart, K. G.
Abstract
Matérn’s hard-core processes are valuable point process models in spatial statistics. In order to extend their field of application, Matérn’s original models are generalized here, both as point processes and particle processes. The thinning rule uses a distancedependent probability function, which controls deletion of points close together. For this general setting, explicit formulas for first- and second-order characteristics can be given. Two examples from materials science illustrate the application of the models.
Keywords: Point process; marked Poisson process; Matérn hard-core process; dependent thinning; independent thinning; pair correlation function
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Spatial Statistics 3(2013), 33-53
DOI: 10.1016/j.spasta.2013.02.001
ISSN: 2211-6753
Cited 46 times in Scopus -
Contribution to WWW
arXiv:1209.2566: http://arxiv.org/pdf/1209.2566v1.pdf
Permalink: https://www.hzdr.de/publications/Publ-17803