Schuhmacher, Dominic; Stucki, Kaspar (2014). Bounds for the probability generating functional of a Gibbs point process. Advances in applied probability, 46(1), pp. 21-34. Applied Probability Trust 10.1239/aap/1396360101
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We derive explicit lower and upper bounds for the probability generating functional of a stationary locally stable Gibbs point process, which can be applied to summary statistics such as the F function. For pairwise interaction processes we obtain further estimates for the G and K functions, the intensity, and higher-order correlation functions. The proof of the main result is based on Stein's method for Poisson point process approximation.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |
UniBE Contributor: |
Schuhmacher, Dominic, Stucki, Kaspar |
Subjects: |
300 Social sciences, sociology & anthropology > 360 Social problems & social services 500 Science > 510 Mathematics 300 Social sciences, sociology & anthropology > 310 Statistics |
ISSN: |
0001-8678 |
Publisher: |
Applied Probability Trust |
Language: |
English |
Submitter: |
Lutz Dümbgen |
Date Deposited: |
15 Sep 2014 16:04 |
Last Modified: |
05 Dec 2022 14:34 |
Publisher DOI: |
10.1239/aap/1396360101 |
BORIS DOI: |
10.7892/boris.51698 |
URI: |
https://boris.unibe.ch/id/eprint/51698 |
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