Properties of residuals for spatial point processes
For any point process in Rd that has a Papangelou conditional intensity ?, we define a random measure of 'innovations' which has mean zero. When the point process model parameters are estimated from data, there is an analogous random measure of 'residuals'. We analyse properties...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Kluwer Academic Publishers
2008
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| Online Access: | http://hdl.handle.net/20.500.11937/28155 |
| _version_ | 1848752459743232000 |
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| author | Baddeley, Adrian Møller, J. Pakes, A. |
| author_facet | Baddeley, Adrian Møller, J. Pakes, A. |
| author_sort | Baddeley, Adrian |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | For any point process in Rd that has a Papangelou conditional intensity ?, we define a random measure of 'innovations' which has mean zero. When the point process model parameters are estimated from data, there is an analogous random measure of 'residuals'. We analyse properties of the innovations and residuals, including first and second moments, conditional independence, a martingale property, and lack of correlation. Some large sample asymptotics are studied. We derive the marginal distribution of smoothed residuals by solving a distributional equivalence. © 2007 The Institute of Statistical Mathematics. |
| first_indexed | 2025-11-14T08:08:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-28155 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:08:58Z |
| publishDate | 2008 |
| publisher | Kluwer Academic Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-281552018-03-29T09:09:00Z Properties of residuals for spatial point processes Baddeley, Adrian Møller, J. Pakes, A. For any point process in Rd that has a Papangelou conditional intensity ?, we define a random measure of 'innovations' which has mean zero. When the point process model parameters are estimated from data, there is an analogous random measure of 'residuals'. We analyse properties of the innovations and residuals, including first and second moments, conditional independence, a martingale property, and lack of correlation. Some large sample asymptotics are studied. We derive the marginal distribution of smoothed residuals by solving a distributional equivalence. © 2007 The Institute of Statistical Mathematics. 2008 Journal Article http://hdl.handle.net/20.500.11937/28155 10.1007/s10463-007-0116-6 Kluwer Academic Publishers restricted |
| spellingShingle | Baddeley, Adrian Møller, J. Pakes, A. Properties of residuals for spatial point processes |
| title | Properties of residuals for spatial point processes |
| title_full | Properties of residuals for spatial point processes |
| title_fullStr | Properties of residuals for spatial point processes |
| title_full_unstemmed | Properties of residuals for spatial point processes |
| title_short | Properties of residuals for spatial point processes |
| title_sort | properties of residuals for spatial point processes |
| url | http://hdl.handle.net/20.500.11937/28155 |