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math.PR2012
Bounds for the probability generating functional of a Gibbs point process
Kaspar Stucki, Dominic Schuhmacher
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 l…
math.PR2012★ 18 cited
Gibbs point process approximation: Total variation bounds using Stein's method
Dominic Schuhmacher, Kaspar Stucki
We obtain upper bounds for the total variation distance between the distributions of two Gibbs point processes in a very general setting. Applications are provided to various well-…