Stability of Feynman-Kac formulae with path-dependent potentials
| hal.structure.identifier | Centre de Recherche en Économie et Statistique [CREST] | |
| hal.structure.identifier | École Nationale de la Statistique et de l'Administration Économique [ENSAE Paris] | |
| dc.contributor.author | CHOPIN, Nicolas | |
| hal.structure.identifier | Advanced Learning Evolutionary Algorithms [ALEA] | |
| dc.contributor.author | DEL MORAL, Pierre | |
| hal.structure.identifier | Laboratoire Jean Alexandre Dieudonné [JAD] | |
| dc.contributor.author | RUBENTHALER, Sylvain | |
| dc.date.created | 2009 | |
| dc.description.abstractEn | Several particle algorithms admit a Feynman-Kac representation such that the potential function may be expressed as a recursive function which depends on the complete state trajectory. An important example is the mixture Kalman filter, but other models and algorithms of practical interest fall in this category. We study the asymptotic stability of such particle algorithms as time goes to infinity. As a corollary, practical conditions for the stability of the mixture Kalman filter, and a mixture GARCH filter, are derived. Finally, we show that our results can also lead to weaker conditions for the stability of standard particle algorithms, such that the potential function depends on the last state only. | |
| dc.description.sponsorship | Méthodes de Monte Carlo en grande dimension - ANR-08-BLAN-0218 | |
| dc.language.iso | en | |
| dc.subject.en | Feynman-Kac formulae | |
| dc.subject.en | mixture Kalman filter | |
| dc.subject.en | path-dependent potential function | |
| dc.subject.en | Particle filter | |
| dc.title.en | Stability of Feynman-Kac formulae with path-dependent potentials | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.subject.hal | Mathématiques [math]/Statistiques [math.ST] | |
| dc.subject.hal | Statistiques [stat]/Théorie [stat.TH] | |
| dc.identifier.arxiv | 0910.4870 | |
| hal.identifier | hal-00426415 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00426415v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CHOPIN,%20Nicolas&DEL%20MORAL,%20Pierre&RUBENTHALER,%20Sylvain&rft.genre=preprint |
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