Characterisation results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes (1996)
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BibTeX
@MISC{Häggström96characterisationresults,
author = {O. Häggström and M.N.M. van Lieshout and J. Møller},
title = {Characterisation results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes},
year = {1996}
}
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Abstract
The area-interaction process and the continuum random-cluster model are characterised in terms of certain functional forms of their respective conditional intensities. In certain cases, these two point process models can be derived from a bivariate point process model which in many respects is simpler to analyse and simulate. Using this correspondence we devise a two-component Gibbs sampler, which can be used for fast and exact simulation by extending the recent ideas of Propp and Wilson. We further introduce a Swendsen-Wang type algorithm. The relevance of the results within spatial statistics as well as statistical physics is discussed.
