Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/148583
Title: Computation of coverage probabilities in a spherical germ-grain model
Authors: Flint, Ian
Privault, Nicolas
Keywords: Science::Mathematics
Issue Date: 2019
Source: Flint, I. & Privault, N. (2019). Computation of coverage probabilities in a spherical germ-grain model. Methodology and Computing in Applied Probability. https://dx.doi.org/10.1007/s11009-019-09741-5
Project: MOE2016-T2-1-036
Journal: Methodology and Computing in Applied Probability
Abstract: We consider a spherical germ-grain model on ℝ in which the centers of the spheres are driven by a possibly non-Poissonian point process. We show that various covering probabilities can be expressed using the cumulative distribution function of the random radii on one hand, and distances to certain subsets of ℝ on the other hand. This result allows us to compute the spherical and linear contact distribution functions, and to derive expressions which are suitable for numerical computation. Determinantal point processes are an important class of examples for which the relevant quantities take the form of Fredholm determinants.
URI: https://hdl.handle.net/10356/148583
ISSN: 1387-5841
DOI: 10.1007/s11009-019-09741-5
Rights: © 2019 Springer Science+Business Media. This is a post-peer-review, pre-copyedit version of an article published in Methodology and Computing in Applied Probability. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11009-019-09741-5.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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