ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES
We consider the problem of estimating a latent point process, given the realization of another point process. We establish an expression for the conditional distribution of a latent Poisson point process given the observation process when the transformation from the latent process to the observed pr...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1826262292440809472 |
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| author | Caron, F Del Moral, P Doucet, A Pace, M |
| author_facet | Caron, F Del Moral, P Doucet, A Pace, M |
| author_sort | Caron, F |
| collection | OXFORD |
| description | We consider the problem of estimating a latent point process, given the realization of another point process. We establish an expression for the conditional distribution of a latent Poisson point process given the observation process when the transformation from the latent process to the observed process includes displacement, thinning, and augmentation with extra points. Our original analysis is based on an elementary and self-contained random measure theoretic approach. This simplifies and complements previous derivations given in Mahler (2003), and Singh,Vo, Baddeley and Zuyev (2009). © 2011 Applied Probability Trust. |
| first_indexed | 2024-03-06T19:34:06Z |
| format | Journal article |
| id | oxford-uuid:1e730b30-cd1a-4eee-b102-b322dbbb1a68 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:34:06Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:1e730b30-cd1a-4eee-b102-b322dbbb1a682022-03-26T11:16:25ZON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSESJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1e730b30-cd1a-4eee-b102-b322dbbb1a68EnglishSymplectic Elements at Oxford2011Caron, FDel Moral, PDoucet, APace, MWe consider the problem of estimating a latent point process, given the realization of another point process. We establish an expression for the conditional distribution of a latent Poisson point process given the observation process when the transformation from the latent process to the observed process includes displacement, thinning, and augmentation with extra points. Our original analysis is based on an elementary and self-contained random measure theoretic approach. This simplifies and complements previous derivations given in Mahler (2003), and Singh,Vo, Baddeley and Zuyev (2009). © 2011 Applied Probability Trust. |
| spellingShingle | Caron, F Del Moral, P Doucet, A Pace, M ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title | ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title_full | ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title_fullStr | ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title_full_unstemmed | ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title_short | ON THE CONDITIONAL DISTRIBUTIONS OF SPATIAL POINT PROCESSES |
| title_sort | on the conditional distributions of spatial point processes |
| work_keys_str_mv | AT caronf ontheconditionaldistributionsofspatialpointprocesses AT delmoralp ontheconditionaldistributionsofspatialpointprocesses AT douceta ontheconditionaldistributionsofspatialpointprocesses AT pacem ontheconditionaldistributionsofspatialpointprocesses |