%0 Journal Article
%T Bounds for the probability generating functional of a Gibbs point process
%A Kaspar Stucki
%A Dominic Schuhmacher
%J Statistics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1210.4177v2