On the Conditional Distributions of Spatial Point Processes
| hal.structure.identifier | Advanced Learning Evolutionary Algorithms [ALEA] | |
| dc.contributor.author | CARON, François | |
| hal.structure.identifier | Advanced Learning Evolutionary Algorithms [ALEA] | |
| dc.contributor.author | DEL MORAL, Pierre | |
| hal.structure.identifier | Dept of Statistics & Dept of Computer Science | |
| dc.contributor.author | DOUCET, Arnaud | |
| hal.structure.identifier | Advanced Learning Evolutionary Algorithms [ALEA] | |
| dc.contributor.author | PACE, Michele | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 0001-8678 | |
| dc.description.abstractEn | We consider the problem of estimating a latent point process, given the realization of another point process on abstract measurable state spaces. First, we establish an expression of 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. We present an original analysis based on a self-contained random measure theoretic approach combined with reversed Markov kernel techniques. This simplifies and complements previous derivations given in \cite{maler}, \cite{zuev}. Second, we show how to extend our analysis to the more complicated case where the latent point process is associated to triangular array sequences, yielding what seems to be the first results of this type for this class of spatial point processes. | |
| dc.language.iso | en | |
| dc.publisher | Applied Probability Trust | |
| dc.subject.en | triangular array sequences probability hypothesis density filter | |
| dc.subject.en | filtering | |
| dc.subject.en | multitarget tracking | |
| dc.subject.en | spatial point processes | |
| dc.subject.en | triangular array sequences probability hypothesis density filter. | |
| dc.title.en | On the Conditional Distributions of Spatial Point Processes | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | Advances in Applied Probability | |
| bordeaux.page | 16 | |
| bordeaux.volume | 43 | |
| bordeaux.issue | 2 | |
| bordeaux.peerReviewed | oui | |
| bordeaux.type.report | rr | |
| hal.identifier | inria-00464127 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00464127v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Advances%20in%20Applied%20Probability&rft.date=2011&rft.volume=43&rft.issue=2&rft.spage=16&rft.epage=16&rft.eissn=0001-8678&rft.issn=0001-8678&rft.au=CARON,%20Fran%C3%A7ois&DEL%20MORAL,%20Pierre&DOUCET,%20Arnaud&PACE,%20Michele&rft.genre=article |
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