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Bounds for the Probability Generating Functional of a Gibbs Point Process
Published online by Cambridge University Press: 22 February 2016
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 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.
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- © Applied Probability Trust
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