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Characterisation results and Markov chain Monte Carlo algorithms including exact simulation for some spatial point processes (1996)
| Citations: | 78 - 6 self |
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.
Keyphrases
exact simulation spatial point process markov chain monte carlo characterisation result many respect statistical physic two-component gibbs sampler continuum random-cluster model swendsen-wang type algorithm area-interaction process bivariate point process model certain functional form respective conditional intensity recent idea certain case spatial statistic point process model
