Filtering discrete time nonlinear system with unknown parameters: A non parametric approach;Approche non paramétrique du filtrage de système non linéaire à temps discret et à paramètres inconnus

Comptes Rendus Mathematique

Volumn 340, Issue 10, 2005, Pages 759-764

  Rossi, Vivien ^a   Vila, Jean Pierre ^b  

^a UNIVERSITÉ DE MONTPELLIER   (France)

^b CEMAGREF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18944397091     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.04.008     Document Type: Article

References (16)

1. D. Bosq J.P. Lecoutre Théorie de l'estimation fonctionnelle 1987 Economica Paris
2. P. Del Moral Feynman-Kac Formulae. Genealogical and Interacting Particle Systems with Applications 2004 Springer-Verlag New York
3. P. Del Moral J. Jacod Ph. Protter The Monte Carlo method for filtering with discrete-time observations Probab. Theory Relat. Fields 120 2001 346-368
4. P. Del Moral L. Miclo Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to nonlinear filtering in: J. Azéma M. Emery M. Ledoux M. Yor (Eds.) Séminaire de Probabilité XXXIV Lecture Notes in Math. 2000 Springer
5. L. Devroye A Course in Density Estimation 1987 Birkhäuser Boston
6. A. Doucet N. de Freitas N. Gordon Sequential Monte Carlo Methods in Practice, Statistics for Engineering and Information Science 2001 Springer
7. W.R. Gilks C. Berzuini Following a moving target-Monte Carlo inference for dynamic Bayesian models J. Roy. Statist. Soc. Ser. B 63 1 2001 127-146
8. T. Higuchi Monte Carlo filter using the genetic algorithm operators J. Statist. Comput. Simulation 59 1 1997 1-23
9. 1 error of a multivariate Kernel Density Estimator J. Multivariate Anal. 42 1992 245-266
10. G. Kitagawa A self-organizing state-space model J. Amer. Statist. Assoc. 93 443 1998 1203-1215
11. F. LeGland N. Oudjane A robustification approach to stability and to uniform particle approximation of nonlinear filters: The example of pseudo-mixing signals Stochastic Process Appl. 106 2 2003 279-316
12. J. Liu M. West Combined parameter and state estimation in simulation-based filtering in: A. Doucet N. de Freitas N. Gordon (Eds.) Sequential Monte Carlo Methods Practice 2001 Springer-Verlag New York 197-223
13. V. Rossi, J.-P. Vila, Nonlinear filtering in discrete time: A particle convolution approach, Rapport technique 04-03, groupe biostatisque ENSAM/ INRA/UM2 Montpellier, octobre, (2004), sousmis à Stat. Inf. Stoc. Proc
14. M.J. Schervish Theory of Statistics 1995 Springer-Verlag New York
15. L. Schwartz On Bayes procedures Z. Wahrscheinlichkeitstheorie 4 1965 10-26
16. M. West Approximating posterior distribution by mixture J. Roy. Statist. Soc. Ser. B 55 1993 409-422