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Volumn 106, Issue 2, 2003, Pages 279-316

A robustification approach to stability and to uniform particle approximation of nonlinear filters: The example of pseudo-mixing signals

Author keywords

Hilbert metric; Mixing; Nonlinear filter; Particle filter; Pseudo mixing; Robustification; Stability

Indexed keywords


EID: 0038648513     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(03)00041-3     Document Type: Article
Times cited : (42)

References (21)
  • 3
    • 0030833508 scopus 로고    scopus 로고
    • Lyapunov exponents for finite state non-linear filtering
    • Atar R. Zeitouni O. Lyapunov exponents for finite state non-linear filtering SIAM J. Contr. Optim. 35 1 1997 36-55
    • (1997) SIAM J. Contr. Optim. , vol.35 , Issue.1 , pp. 36-55
    • Atar, R.1    Zeitouni, O.2
  • 4
    • 0038465333 scopus 로고    scopus 로고
    • Asymptotic stability of the Wonham filter for ergodic and nonergodic signals
    • (preprint)
    • Baxendale, P., Chigansky, P., Liptser, R., 2002. Asymptotic stability of the Wonham filter for ergodic and nonergodic signals, (preprint) http://arxiv.org/pdf/math.PR/0205230.pdf
    • (2002)
    • Baxendale, P.1    Chigansky, P.2    Liptser, R.3
  • 5
    • 0031321240 scopus 로고    scopus 로고
    • Dynamic conditional independence models and Markov chain Monte Carlo methods
    • Berzuini C. Best N.G. Gilks W.R. Larizza C. Dynamic conditional independence models and Markov chain Monte Carlo methods J. Amer. Statist. Assoc. 92 (440) 1997 1403-1412
    • (1997) J. Amer. Statist. Assoc. , vol.92 , Issue.440 , pp. 1403-1412
    • Berzuini, C.1    Best, N.G.2    Gilks, W.R.3    Larizza, C.4
  • 6
    • 0031139499 scopus 로고    scopus 로고
    • Exponential stability of discrete-time filters for bounded observation noise
    • Budhiraja A. Ocone D.L. Exponential stability of discrete-time filters for bounded observation noise Systems and Contr. Lett. 30 4 1997 185-193
    • (1997) Systems and Contr. Lett. , vol.30 , Issue.4 , pp. 185-193
    • Budhiraja, A.1    Ocone, D.L.2
  • 7
    • 0005648615 scopus 로고    scopus 로고
    • Exponential stability of discrete-time filters for non-ergodic signals
    • Budhiraja A. Ocone D.L. Exponential stability of discrete-time filters for non-ergodic signals Stochastic Process. Appl. 82 (2) 1999 245-257
    • (1999) Stochastic Process. Appl. , vol.82 , Issue.2 , pp. 245-257
    • Budhiraja, A.1    Ocone, D.L.2
  • 8
    • 0033143342 scopus 로고    scopus 로고
    • Asymptotic ergodicity of the process of conditional law in some problem of nonlinear filtering
    • Da Prato G. Fuhrman M. Malliavin P. Asymptotic ergodicity of the process of conditional law in some problem of nonlinear filtering J. Funct. Anal. 164 (2) 1999 356-377
    • (1999) J. Funct. Anal. , vol.164 , Issue.2 , pp. 356-377
    • Da Prato, G.1    Fuhrman, M.2    Malliavin, P.3
  • 9
    • 0038465331 scopus 로고    scopus 로고
    • On the stability of measure valued processes. Applications to nonlinear filtering and interacting particle systems
    • Publication du Laboratoire de Statistique et Probabilités 03-98. Université Paul Sabatier, Toulouse
    • Del Moral, P., Guionnet, A., 1998. On the stability of measure valued processes. Applications to nonlinear filtering and interacting particle systems. Publication du Laboratoire de Statistique et Probabilités 03-98, Université Paul Sabatier, Toulouse.
    • (1998)
    • Del Moral, P.1    Guionnet, A.2
  • 10
    • 0041332886 scopus 로고    scopus 로고
    • On the stability of interacting processes with applications to filtering and genetic algorithms
    • Del Moral P. Guionnet A. On the stability of interacting processes with applications to filtering and genetic algorithms Ann. Inst. H. Poincaré Probab. Statist. 37 2 2001 155-194
    • (2001) Ann. Inst. H. Poincaré Probab. Statist. , vol.37 , Issue.2 , pp. 155-194
    • Del Moral, P.1    Guionnet, A.2
  • 12
    • 0002936641 scopus 로고    scopus 로고
    • Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to nonlinear filtering
    • J. Azéma, M. Émery, M. Ledoux, & M. Yor (Eds.), Berlin: Springer 1729
    • Del Moral P. Miclo L. Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to nonlinear filtering. In: Azéma J. Émery M. Ledoux M. Yor M. (Eds.), Séminaire de Probabilités XXXIV Lecture Notes in Mathematics Vol. 1729 2000 1-145 Springer Berlin
    • (2000) Séminaire de Probabilités XXXIV, Lecture Notes in Mathematics , pp. 1-145
    • Del Moral, P.1    Miclo, L.2
  • 13
    • 0035640255 scopus 로고    scopus 로고
    • The Monte Carlo method for filtering with discrete-time observations
    • Del Moral P. Jacod J. Protter P. The Monte Carlo method for filtering with discrete-time observations Probab. Theory Related Fields 120 (3) 2001 346-368
    • (2001) Probab. Theory Related Fields , vol.120 , Issue.3 , pp. 346-368
    • Del Moral, P.1    Jacod, J.2    Protter, P.3
  • 14
    • 0032221057 scopus 로고    scopus 로고
    • Monte Carlo approximations for general state space models
    • Hürzeler M. Künsch H.R. Monte Carlo approximations for general state space models J. Comput. Graphical Statist. 7 (2) 1998 175-193
    • (1998) J. Comput. Graphical Statist. , vol.7 , Issue.2 , pp. 175-193
    • Hürzeler, M.1    Künsch, H.R.2
  • 15
    • 0001442283 scopus 로고
    • Asymptotic behavior of the nonlinear filtering errors of Markov processes
    • Kunita H. Asymptotic behavior of the nonlinear filtering errors of Markov processes J. Multivariate Anal. 1 (4) 1971 365-393
    • (1971) J. Multivariate Anal. , vol.1 , Issue.4 , pp. 365-393
    • Kunita, H.1
  • 16
    • 11844259682 scopus 로고    scopus 로고
    • Stability and uniform approximation of nonlinear filters using the Hilbert metric, and application to particle filters
    • Rapport de Recherche 4215, INRIA, ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-4215.ps.gz to appear
    • Le Gland, F., Oudjane, N., 2001. Stability and uniform approximation of nonlinear filters using the Hilbert metric, and application to particle filters. Rapport de Recherche 4215, INRIA, ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-4215.ps.gz. Ann. Appl. Probab., to appear.
    • (2001) Ann. Appl. Probab.
    • Le Gland, F.1    Oudjane, N.2
  • 17
    • 0032359151 scopus 로고    scopus 로고
    • Sequential Monte Carlo methods for dynamic systems
    • Liu J.S. Chen R. Sequential Monte Carlo methods for dynamic systems J. Amer. Statist. Assoc. 93 (443) 1998 1032-1044
    • (1998) J. Amer. Statist. Assoc. , vol.93 , Issue.443 , pp. 1032-1044
    • Liu, J.S.1    Chen, R.2
  • 19
    • 0029760763 scopus 로고    scopus 로고
    • Asymptotic stability of the optimal filter with respect to its initial condition
    • Ocone D.L. Pardoux E. Asymptotic stability of the optimal filter with respect to its initial condition SIAM J. Contr. Optim. 34 (1) 1996 226-243
    • (1996) SIAM J. Contr. Optim. , vol.34 , Issue.1 , pp. 226-243
    • Ocone, D.L.1    Pardoux, E.2
  • 20
    • 4244107309 scopus 로고    scopus 로고
    • Stability and uniform particle approximation of nonlinear filters in case of non ergodic signal
    • Prépublication PMA-786, Laboratoire de Probabilités et Modèles Aléatoires, Université de Paris VI
    • Oudjane, N., Rubenthaler, S., 2003. Stability and uniform particle approximation of nonlinear filters in case of non ergodic signal. Prépublication PMA-786, Laboratoire de Probabilités et Modèles Aléatoires, Université de Paris VI, http://www.proba.jussieu.fr/mathdoc/textes/PMA-786.pdf
    • (2003)
    • Oudjane, N.1    Rubenthaler, S.2
  • 21
    • 1542427941 scopus 로고    scopus 로고
    • Filtering via simulations: Auxiliary particle filter
    • Pitt M.K. Shephard N. Filtering via simulations: auxiliary particle filter J. Amer. Statist. Assoc. 94 (446) 1999 590-599
    • (1999) J. Amer. Statist. Assoc. , vol.94 , Issue.446 , pp. 590-599
    • Pitt, M.K.1    Shephard, N.2


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