Fast approximation of the intensity of Gibbs point processes
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 proc...
| Main Authors: | , |
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| Format: | Journal Article |
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INST MATHEMATICAL STATISTICS
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/5395 |
| _version_ | 1848744784420667392 |
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| author | Baddeley, Adrian Nair, G. |
| author_facet | Baddeley, Adrian Nair, G. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T06:06:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-5395 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:06:58Z |
| publishDate | 2012 |
| publisher | INST MATHEMATICAL STATISTICS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-53952017-09-13T14:42:15Z Fast approximation of the intensity of Gibbs point processes Baddeley, Adrian Nair, G. 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. 2012 Journal Article http://hdl.handle.net/20.500.11937/5395 10.1214/12-EJS707 INST MATHEMATICAL STATISTICS unknown |
| spellingShingle | Baddeley, Adrian Nair, G. Fast approximation of the intensity of Gibbs point processes |
| title | Fast approximation of the intensity of Gibbs point processes |
| title_full | Fast approximation of the intensity of Gibbs point processes |
| title_fullStr | Fast approximation of the intensity of Gibbs point processes |
| title_full_unstemmed | Fast approximation of the intensity of Gibbs point processes |
| title_short | Fast approximation of the intensity of Gibbs point processes |
| title_sort | fast approximation of the intensity of gibbs point processes |
| url | http://hdl.handle.net/20.500.11937/5395 |