Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models
We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is generalized to a “pseudo-score” test derived from Besag’s pseudo-likelihood, and to a class of diagnostics based on point process residuals. The results lend theor...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
INST MATHEMATICAL STATISTICS
2011
|
| Online Access: | http://hdl.handle.net/20.500.11937/7596 |
| _version_ | 1848745414428196864 |
|---|---|
| author | Baddeley, Adrian Rubak, E. Moller, J. |
| author_facet | Baddeley, Adrian Rubak, E. Moller, J. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is generalized to a “pseudo-score” test derived from Besag’s pseudo-likelihood, and to a class of diagnostics based on point process residuals. The results lend theoretical support to the established practice of using functional summary statistics, such as Ripley’s K-function, when testing for complete spatial randomness; and they provide new tools such as the compensator of the K-function for testing other fitted models. The results also support localization methods such as the scan statistic and smoothed residual plots. Software for computing the diagnostics is provided. |
| first_indexed | 2025-11-14T06:16:59Z |
| format | Journal Article |
| id | curtin-20.500.11937-7596 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:16:59Z |
| publishDate | 2011 |
| publisher | INST MATHEMATICAL STATISTICS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-75962017-09-13T14:37:00Z Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models Baddeley, Adrian Rubak, E. Moller, J. We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is generalized to a “pseudo-score” test derived from Besag’s pseudo-likelihood, and to a class of diagnostics based on point process residuals. The results lend theoretical support to the established practice of using functional summary statistics, such as Ripley’s K-function, when testing for complete spatial randomness; and they provide new tools such as the compensator of the K-function for testing other fitted models. The results also support localization methods such as the scan statistic and smoothed residual plots. Software for computing the diagnostics is provided. 2011 Journal Article http://hdl.handle.net/20.500.11937/7596 10.1214/11-STS367 INST MATHEMATICAL STATISTICS unknown |
| spellingShingle | Baddeley, Adrian Rubak, E. Moller, J. Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title | Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title_full | Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title_fullStr | Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title_full_unstemmed | Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title_short | Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models |
| title_sort | score, pseudo-score and residual diagnostics for spatial point process models |
| url | http://hdl.handle.net/20.500.11937/7596 |