Adjusted composite likelihood ratio test for spatial Gibbs point processes
© 2015 Taylor & Francis We investigate an analogue of the likelihood ratio test for spatial Gibbs point process models fitted by maximum pseudolikelihood or maximum composite likelihood. The test statistic must be adjusted in order to obtain an asymptotic (Formula presented.) distribution under...
| Main Authors: | , , |
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| Format: | Journal Article |
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2015
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| Online Access: | https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point- http://hdl.handle.net/20.500.11937/35832 |
| _version_ | 1848754603268505600 |
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| author | Baddeley, Adrian Turner, R. Rubak, E. |
| author_facet | Baddeley, Adrian Turner, R. Rubak, E. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015 Taylor & Francis We investigate an analogue of the likelihood ratio test for spatial Gibbs point process models fitted by maximum pseudolikelihood or maximum composite likelihood. The test statistic must be adjusted in order to obtain an asymptotic (Formula presented.) distribution under the null hypothesis. Adjustments developed for composite likelihoods of finite systems of random variables are adapted to the point process setting. Recent results in point process theory are used to estimate the composite information J and sensitivity H from the point pattern data. In a large simulation experiment we find that the proposed test is exact if J and H are known exactly; it is slightly conservative when J and H are estimated from the data. |
| first_indexed | 2025-11-14T08:43:02Z |
| format | Journal Article |
| id | curtin-20.500.11937-35832 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:43:02Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-358322022-09-01T09:08:07Z Adjusted composite likelihood ratio test for spatial Gibbs point processes Baddeley, Adrian Turner, R. Rubak, E. © 2015 Taylor & Francis We investigate an analogue of the likelihood ratio test for spatial Gibbs point process models fitted by maximum pseudolikelihood or maximum composite likelihood. The test statistic must be adjusted in order to obtain an asymptotic (Formula presented.) distribution under the null hypothesis. Adjustments developed for composite likelihoods of finite systems of random variables are adapted to the point process setting. Recent results in point process theory are used to estimate the composite information J and sensitivity H from the point pattern data. In a large simulation experiment we find that the proposed test is exact if J and H are known exactly; it is slightly conservative when J and H are estimated from the data. 2015 Journal Article http://hdl.handle.net/20.500.11937/35832 10.1080/00949655.2015.1044530 https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point- http://purl.org/au-research/grants/arc/DP130102322 http://purl.org/au-research/grants/arc/DP130104470 unknown |
| spellingShingle | Baddeley, Adrian Turner, R. Rubak, E. Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title | Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title_full | Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title_fullStr | Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title_full_unstemmed | Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title_short | Adjusted composite likelihood ratio test for spatial Gibbs point processes |
| title_sort | adjusted composite likelihood ratio test for spatial gibbs point processes |
| url | https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point- https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point- https://vbn.aau.dk/en/publications/adjusted-composite-likelihood-ratio-test-for-spatial-gibbs-point- http://hdl.handle.net/20.500.11937/35832 |