Leverage and Influence Diagnostics for Spatial Point Processes
For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. The...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
WILEY-BLACKWELL
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/42428 |
| _version_ | 1848756416778600448 |
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| author | Baddeley, Adrian Chang, Y. Song, Y. |
| author_facet | Baddeley, Adrian Chang, Y. Song, Y. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. They can also be derived heuristically (and computed in practice) as the limits of classical diagnostics under increasingly fine discretizations of the spatial domain. We apply the diagnostics to two example datasets where there are concerns about model validity. © 2012 Board of the Foundation of the Scandinavian Journal of Statistics. |
| first_indexed | 2025-11-14T09:11:51Z |
| format | Journal Article |
| id | curtin-20.500.11937-42428 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:11:51Z |
| publishDate | 2013 |
| publisher | WILEY-BLACKWELL |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-424282017-09-13T14:24:47Z Leverage and Influence Diagnostics for Spatial Point Processes Baddeley, Adrian Chang, Y. Song, Y. For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. They can also be derived heuristically (and computed in practice) as the limits of classical diagnostics under increasingly fine discretizations of the spatial domain. We apply the diagnostics to two example datasets where there are concerns about model validity. © 2012 Board of the Foundation of the Scandinavian Journal of Statistics. 2013 Journal Article http://hdl.handle.net/20.500.11937/42428 10.1111/j.1467-9469.2011.00786.x WILEY-BLACKWELL restricted |
| spellingShingle | Baddeley, Adrian Chang, Y. Song, Y. Leverage and Influence Diagnostics for Spatial Point Processes |
| title | Leverage and Influence Diagnostics for Spatial Point Processes |
| title_full | Leverage and Influence Diagnostics for Spatial Point Processes |
| title_fullStr | Leverage and Influence Diagnostics for Spatial Point Processes |
| title_full_unstemmed | Leverage and Influence Diagnostics for Spatial Point Processes |
| title_short | Leverage and Influence Diagnostics for Spatial Point Processes |
| title_sort | leverage and influence diagnostics for spatial point processes |
| url | http://hdl.handle.net/20.500.11937/42428 |