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Volumn 8, Issue 2, 1998, Pages 438-495

Measure-valued processes and interacting particle systems. Application to nonlinear filtering problems 1

(1)  Del Moral, P a  

a CNRS   (France)

Author keywords

Genetic algorithms; Interacting and branching particle systems; Measure valued processes; Nonlinear filtering

Indexed keywords


EID: 0032221182     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (103)

References (46)
  • 1
    • 0019660565 scopus 로고
    • Exact finite-dimensional filters for certain diffusions with nonlinear drift
    • BENES, V. E. (1981). Exact finite-dimensional filters for certain diffusions with nonlinear drift. Stochastics 5 65-92.
    • (1981) Stochastics , vol.5 , pp. 65-92
    • Benes, V.E.1
  • 3
    • 0000009557 scopus 로고
    • The Vlasov dynamics and its fluctuation in the 1/n limit of interacting particles
    • BRAUN, W. and HEPP, K. (1977). The Vlasov dynamics and its fluctuation in the 1/n limit of interacting particles. Comm. Math. Phys. 56 101-113.
    • (1977) Comm. Math. Phys. , vol.56 , pp. 101-113
    • Braun, W.1    Hepp, K.2
  • 7
    • 0003366266 scopus 로고
    • Des résultats de non existence de filtres de dimension finie
    • plus Opt
    • CHALEYAT-MAUREL, M. and MICHEL, D. (1983). Des résultats de non existence de filtres de dimension finie. C.R. Acad. Sci. Paris Ser. I 296. plus Opt
    • (1983) C.R. Acad. Sci. Paris Ser. I , vol.296
    • Chaleyat-Maurel, M.1    Michel, D.2
  • 12
    • 0001816381 scopus 로고
    • Stochastic evolution equations and related measure-valued processes
    • DAWSON, D. A. (1975). Stochastic evolution equations and related measure-valued processes. J. Multivariate Anal. 5 1-52.
    • (1975) J. Multivariate Anal. , vol.5 , pp. 1-52
    • Dawson, D.A.1
  • 15
    • 0013326015 scopus 로고
    • Nonlinear filtering using random particles
    • DEL MORAL, P. (1995). Nonlinear filtering using random particles. Theor. Probab. Appl. 40.
    • (1995) Theor. Probab. Appl. , pp. 40
    • Del Moral, P.1
  • 18
  • 20
    • 0000431239 scopus 로고
    • Résolution particulaire et traitement non linéaire du signal: Application radar/sonar
    • DEL MORAL, P., NOYER, J. C. and SALUT, G. (1995). Résolution particulaire et traitement non linéaire du signal: application radar/sonar. Traitement du Signal.
    • (1995) Traitement du Signal
    • Del Moral, P.1    Noyer, J.C.2    Salut, G.3
  • 21
    • 0040264348 scopus 로고
    • Traitement non-linéaire du signal par reseau particulaire: Application radar
    • Juan les Pins
    • DEL MORAL, P., RIGAL, G., NOYER, J. C. and SALUT, G. (1993). Traitement non-linéaire du signal par reseau particulaire: application radar. Quatorzième colloque GRETSI, Juan les Pins.
    • (1993) Quatorzième Colloque GRETSI
    • Del Moral, P.1    Rigal, G.2    Noyer, J.C.3    Salut, G.4
  • 22
    • 0010207909 scopus 로고
    • Markov processes with a large number of locally interacting components: Existence of a limit process and its ergodicity
    • DOBRUSHIN, R. L. (1971). Markov processes with a large number of locally interacting components: existence of a limit process and its ergodicity. Problems Inform. Transmission 7 70-87.
    • (1971) Problems Inform. Transmission , vol.7 , pp. 70-87
    • Dobrushin, R.L.1
  • 23
    • 0000080779 scopus 로고
    • Prescribing a system of random variables by conditional distributions
    • DOBRUSHIN, R. L. (1970). Prescribing a system of random variables by conditional distributions. Theory Probab. Appl. 15 459-485.
    • (1970) Theory Probab. Appl. , vol.15 , pp. 459-485
    • Dobrushin, R.L.1
  • 24
    • 0027580559 scopus 로고
    • Novel approach to nonlinear/non-Gaussian Bayesian state estimation
    • GORDON, N. J., SALMON, D. J. and SMITH, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F 140 107-113.
    • (1993) IEE Proceedings F , vol.140 , pp. 107-113
    • Gordon, N.J.1    Salmon, D.J.2    Smith, A.F.M.3
  • 25
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • HOEFFDING, W. (1963). Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc. 58 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 29
    • 0001442283 scopus 로고
    • Asymptotic behavior of nonlinear filtering errors of Markov processes
    • KUNITA, H. (1971). Asymptotic behavior of nonlinear filtering errors of Markov processes. J. Multivariate Anal. 1 365-393.
    • (1971) J. Multivariate Anal. , vol.1 , pp. 365-393
    • Kunita, H.1
  • 32
    • 0000669223 scopus 로고
    • A propagation of chaos result for a system of particles with moderate interaction
    • MÉLÉARD, S. and ROELLY-COPPOLETTA, S. (1987). A propagation of chaos result for a system of particles with moderate interaction. Stochastic Process. Appl. 26 317-332.
    • (1987) Stochastic Process. Appl. , vol.26 , pp. 317-332
    • Méléard, S.1    Roelly-Coppoletta, S.2
  • 33
    • 0003002903 scopus 로고
    • Propagation of chaos for a class of nonlinear parabolic equations
    • Catholic Univ.
    • MCKEAN, H. P. (1967). Propagation of chaos for a class of nonlinear parabolic equations. Lecture Series in Differential Equations 7 41-57. Catholic Univ.
    • (1967) Lecture Series in Differential Equations , vol.7 , pp. 41-57
    • McKean, H.P.1
  • 38
    • 0000793708 scopus 로고
    • Central limit theorem for a system of Markovian particles with mean field interactions
    • SHIGA, T. and TANAKA, H. (1985). Central limit theorem for a system of Markovian particles with mean field interactions. Z. Wahrsch. Verw. Gebiete 69 439-459.
    • (1985) Z. Wahrsch. Verw. Gebiete , vol.69 , pp. 439-459
    • Shiga, T.1    Tanaka, H.2
  • 39
    • 0010162858 scopus 로고
    • On stochastic equations in the theory of conditional Markov processes
    • SHIRYAEV, A. N. (1966). On stochastic equations in the theory of conditional Markov processes. Theory Probab. Appl. 11 179-184.
    • (1966) Theory Probab. Appl. , vol.11 , pp. 179-184
    • Shiryaev, A.N.1
  • 40
    • 0001000227 scopus 로고
    • Random processes denned through the interaction of an infinite particle system
    • Springer, Berlin
    • SPITZER, F. (1969). Random processes denned through the interaction of an infinite particle system. Lecture Notes in Math. 89 201-223. Springer, Berlin.
    • (1969) Lecture Notes in Math. , vol.89 , pp. 201-223
    • Spitzer, F.1
  • 42
    • 0001355394 scopus 로고
    • Conditional Markov processes
    • STRATONOVICH, R. L. (1960). Conditional Markov processes. Theory Probab. Appl. 5 156-178.
    • (1960) Theory Probab. Appl. , vol.5 , pp. 156-178
    • Stratonovich, R.L.1
  • 43
    • 0001293553 scopus 로고
    • Nonlinear reflecting diffusion process and the propagation of chaos and fluctuations associated
    • SZNITMAN, A. S. (1984). Nonlinear reflecting diffusion process and the propagation of chaos and fluctuations associated. J. Functional Anal. 56 311-336.
    • (1984) J. Functional Anal. , vol.56 , pp. 311-336
    • Sznitman, A.S.1
  • 46
    • 0001686614 scopus 로고
    • A limit theorem of branching processes and continuous state branching processes
    • WATANABE, S. (1968). A limit theorem of branching processes and continuous state branching processes. J. Math. Kyoto Univ. 8 141-167.
    • (1968) J. Math. Kyoto Univ. , vol.8 , pp. 141-167
    • Watanabe, S.1


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