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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2002-2
February 2002

Perfect simulation and inference for spatial point processes


Jesper Møller

Kasper K. Berthelsen


The advantages and limitations of using perfect simulation for simulation- based inference for pairwise interaction point processes are discussed. Various aspects of likelihood inference for the Strauss process with unknown range of interaction are studied. A large part of the paper concerns non-parametric Bayesian inference for the interaction function. Markov chain Monte Carlo methods, particularly path sampling, play an important role. Several empirical results and various datasets are considered.

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