Fast approximation of the intensity of Gibbs point processes
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Open access via publisher
Authors
Baddeley, Adrian
Nair, G.
Date
2012Type
Journal Article
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Baddeley, A. and Nair, G. 2012. Fast approximation of the intensity of Gibbs point processes. Electronic Journal of Statistics. 6: pp. 1155-1169.
Source Title
Electronic Journal of Statistics
ISSN
School
Department of Mathematics and Statistics
Collection
Abstract
The intensity of a Gibbs point process model is usually an intractable function of the model parameters. This is a severe restriction on the practical application of such models. We develop a new approximation for the intensity of a stationary Gibbs point process on Rd. For pairwise interaction processes, the approximation can be computed rapidly and is surprisingly accurate. The new approximation is qualitatively similar to the mean field approximation, but is far more accurate, and does not exhibit the same pathologies. It may be regarded as a counterpart of the Percus-Yevick approximation.
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