Bounds for the probability generating functional of a Gibbs point process
Probability
2013-04-18 v2 Statistics Theory
Statistics Theory
Abstract
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 like 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.
Cite
@article{arxiv.1210.4177,
title = {Bounds for the probability generating functional of a Gibbs point process},
author = {Kaspar Stucki and Dominic Schuhmacher},
journal= {arXiv preprint arXiv:1210.4177},
year = {2013}
}
Comments
15 pages