Generalizations of Mat\'ern's hard-core point processes
Methodology
2012-09-13 v1 Probability
Abstract
Mat\'ern's hard-core processes are valuable point process models in spatial statistics. In order to extend their field of application, Mat\'ern's original models are generalized here, both as point processes and particle processes. The thinning rule uses a distance-dependent 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
Cite
@article{arxiv.1209.2566,
title = {Generalizations of Mat\'ern's hard-core point processes},
author = {Jakob Teichmann and Felix Ballani and Karl Gerald van den Boogaart},
journal= {arXiv preprint arXiv:1209.2566},
year = {2012}
}
Comments
21 pages, 17 figures