Hybrids of Gibbs point process models and their implementation
We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hyb...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
JOURNAL STATISTICAL SOFTWARE
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/29082 |
| _version_ | 1848752708248403968 |
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| author | Baddeley, Adrian Turner, R. Mateu, J. Bevan, A. |
| author_facet | Baddeley, Adrian Turner, R. Mateu, J. Bevan, A. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hybrid. We discuss stochastic properties of hybrids, their statistical implications, statistical inference, computational strategies and software implementation in the R package spatstat. Hybrids are particularly useful for constructing models which exhibit interaction at different spatial scales. The methods are demonstrated on a real data set on human social interaction. Software and data are provided. |
| first_indexed | 2025-11-14T08:12:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-29082 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:12:55Z |
| publishDate | 2013 |
| publisher | JOURNAL STATISTICAL SOFTWARE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-290822017-01-30T13:10:15Z Hybrids of Gibbs point process models and their implementation Baddeley, Adrian Turner, R. Mateu, J. Bevan, A. We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hybrid. We discuss stochastic properties of hybrids, their statistical implications, statistical inference, computational strategies and software implementation in the R package spatstat. Hybrids are particularly useful for constructing models which exhibit interaction at different spatial scales. The methods are demonstrated on a real data set on human social interaction. Software and data are provided. 2013 Journal Article http://hdl.handle.net/20.500.11937/29082 JOURNAL STATISTICAL SOFTWARE restricted |
| spellingShingle | Baddeley, Adrian Turner, R. Mateu, J. Bevan, A. Hybrids of Gibbs point process models and their implementation |
| title | Hybrids of Gibbs point process models and their implementation |
| title_full | Hybrids of Gibbs point process models and their implementation |
| title_fullStr | Hybrids of Gibbs point process models and their implementation |
| title_full_unstemmed | Hybrids of Gibbs point process models and their implementation |
| title_short | Hybrids of Gibbs point process models and their implementation |
| title_sort | hybrids of gibbs point process models and their implementation |
| url | http://hdl.handle.net/20.500.11937/29082 |