Residual diagnostics for covariate effects in spatial point process models
For a spatial point process model in which the intensity depends on spatial covariates, we develop graphical diagnostics for validating the covariate effect term in the model, and for assessing whether another covariate should be added to the model. The diagnostics are point-process counterparts of...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
AMER STATISTICAL ASSOC
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/39431 |
| _version_ | 1848755589202575360 |
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| author | Baddeley, Adrian Chang, Y. Song, Y. Turner, R. |
| author_facet | Baddeley, Adrian Chang, Y. Song, Y. Turner, R. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | For a spatial point process model in which the intensity depends on spatial covariates, we develop graphical diagnostics for validating the covariate effect term in the model, and for assessing whether another covariate should be added to the model. The diagnostics are point-process counterparts of the well-known partial residual plots (component-plus-residual plots) and added variable plots for generalized linear models. The new diagnostics can be derived as limits of these classical techniques under increasingly fine discretization, which leads to efficient numerical approximations. The diagnostics can also be recognized as integrals of the point process residuals, enabling us to prove asymptotic results. The diagnostics perform correctly in a simulation experiment. We demonstrate their utility in an application to geological exploration, in which a point pattern of gold deposits is modeled as a point process with intensity depending on the distance to the nearest geological fault. Online supplementary materials include technical proofs, computer code, and results of a simulation study. © 2013 American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America. |
| first_indexed | 2025-11-14T08:58:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-39431 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:58:42Z |
| publishDate | 2013 |
| publisher | AMER STATISTICAL ASSOC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-394312017-09-13T14:25:26Z Residual diagnostics for covariate effects in spatial point process models Baddeley, Adrian Chang, Y. Song, Y. Turner, R. For a spatial point process model in which the intensity depends on spatial covariates, we develop graphical diagnostics for validating the covariate effect term in the model, and for assessing whether another covariate should be added to the model. The diagnostics are point-process counterparts of the well-known partial residual plots (component-plus-residual plots) and added variable plots for generalized linear models. The new diagnostics can be derived as limits of these classical techniques under increasingly fine discretization, which leads to efficient numerical approximations. The diagnostics can also be recognized as integrals of the point process residuals, enabling us to prove asymptotic results. The diagnostics perform correctly in a simulation experiment. We demonstrate their utility in an application to geological exploration, in which a point pattern of gold deposits is modeled as a point process with intensity depending on the distance to the nearest geological fault. Online supplementary materials include technical proofs, computer code, and results of a simulation study. © 2013 American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America. 2013 Journal Article http://hdl.handle.net/20.500.11937/39431 10.1080/10618600.2012.721737 AMER STATISTICAL ASSOC restricted |
| spellingShingle | Baddeley, Adrian Chang, Y. Song, Y. Turner, R. Residual diagnostics for covariate effects in spatial point process models |
| title | Residual diagnostics for covariate effects in spatial point process models |
| title_full | Residual diagnostics for covariate effects in spatial point process models |
| title_fullStr | Residual diagnostics for covariate effects in spatial point process models |
| title_full_unstemmed | Residual diagnostics for covariate effects in spatial point process models |
| title_short | Residual diagnostics for covariate effects in spatial point process models |
| title_sort | residual diagnostics for covariate effects in spatial point process models |
| url | http://hdl.handle.net/20.500.11937/39431 |