메뉴 건너뛰기




Volumn 31, Issue 3, 1999, Pages 819-838

Interacting particle systems approximations of the kushner-stratonovitch equation

Author keywords

Error bounds; Filter approximation; Genetic algorithms; Interacting particle systems; Non linear filtering

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; GENETIC ALGORITHMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NONLINEAR FILTERING;

EID: 17744362474     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1029955206     Document Type: Article
Times cited : (26)

References (25)
  • 1
    • 0031256242 scopus 로고    scopus 로고
    • Nonlinear filtering and measure valued processes
    • CRISAN, D. and Lyons, T. J. (1997). Nonlinear filtering and measure valued processes. Prob. Theory Rel. Fields 109, 217-244.
    • (1997) Prob. Theory Rel. Fields , vol.109 , pp. 217-244
    • Crisan, D.1    Lyons, T.J.2
  • 3
    • 85037876632 scopus 로고    scopus 로고
    • A particle approximation of the solution of the Kushner-Stratonovitch equation. To appear
    • CRISAN, D., GAINES, J. and Lyons, T. J. (1999). A particle approximation of the solution of the Kushner-Stratonovitch equation. To appear in SIAM J. Appl. Math.
    • (1999) SIAM J. Appl. Math
    • Crisan, D.1    Gaines, J.2    Lyons, T.J.3
  • 4
    • 0013326015 scopus 로고    scopus 로고
    • Nonlinear filtering using random particles
    • Del Moral, P. (1996). Nonlinear filtering using random particles. Theor. Prob. Appl. 40 690-701.
    • (1996) Theor. Prob. Appl. , vol.40 , pp. 690-701
    • Del Moral, P.1
  • 5
    • 0001534675 scopus 로고    scopus 로고
    • Non-linear filtering: Interacting particle resolution
    • Del Moral, P. (1996). Non-linear filtering: interacting particle resolution. Markov Proc. Rel. Fields 2.
    • (1996) Markov Proc. Rel. Fields , pp. 2
    • Del Moral, P.1
  • 6
    • 0031231821 scopus 로고    scopus 로고
    • Filtrage non lineaire par systemes de particules en interaction
    • Del Moral, P. (1997). Filtrage non lineaire par systemes de particules en interaction. C.R. Acad. Sci. Paris, Sériel 325, 653-658.
    • (1997) C.R. Acad. Sci. Paris, Sériel , vol.325 , pp. 653-658
    • Del Moral, P.1
  • 7
    • 0032221182 scopus 로고    scopus 로고
    • Measure valued processes and interacting particle systems. Application to non linear filtering problems
    • Del Moral, P. (1998). Measure valued processes and interacting particle systems. Application to non linear filtering problems. Ann. Appl. Prob. 8, 438-495.
    • (1998) Ann. Appl. Prob. , vol.8 , pp. 438-495
    • Del Moral, P.1
  • 8
    • 0032244326 scopus 로고    scopus 로고
    • A uniform convergence theorem for the numerical solving of non linear filtering problems
    • Del Moral, P. (1998). A uniform convergence theorem for the numerical solving of non linear filtering problems. J. Appl. Prob. 35, 873-884.
    • (1998) J. Appl. Prob. , vol.35 , pp. 873-884
    • Del Moral, P.1
  • 9
    • 0003040231 scopus 로고    scopus 로고
    • Large deviations for interacting particle systems. Applications to non linear filtering problems
    • Del Moral, P. and Guionnet, A. (1998). Large deviations for interacting particle systems. Applications to non linear filtering problems. Stoch. Proc. Appl. 78, 69-95.
    • (1998) Stoch. Proc. Appl. , vol.78 , pp. 69-95
    • Del Moral, P.1    Guionnet, A.2
  • 10
    • 0033438365 scopus 로고    scopus 로고
    • A central limit theorem for non linear filtering using interacting particle systems
    • Del Moral, P. and Guionnet, A. (1999). A central limit theorem for non linear filtering using interacting particle systems. Ann. Appl. Prob. 9, 275-297.
    • (1999) Ann. Appl. Prob. , vol.9 , pp. 275-297
    • Del Moral, P.1    Guionnet, A.2
  • 12
    • 0008402311 scopus 로고
    • An approximation for the non linear filtering problem with error bounds
    • Dl Masi, G. B., Pratelli, M. and Runggaldier, W. G. (1985). An approximation for the non linear filtering problem with error bounds. Stochastics 14, 247-271.
    • (1985) Stochastics , vol.14 , pp. 247-271
    • Dl Masi, G.B.1    Pratelli, M.2    Runggaldier, W.G.3
  • 13
    • 0000945775 scopus 로고
    • Convergencede la repartition empirique vers la repartition theorique
    • FORTET, R. and Mourier, B. (1953). Convergencede la repartition empirique vers la repartition theorique. Ann. Sci. École Norm. Sup. 70, 267-285.
    • (1953) Ann. Sci. École Norm. Sup. , vol.70 , pp. 267-285
    • Fortet, R.1    Mourier, B.2
  • 18
    • 0001923498 scopus 로고
    • Filtering for non linear systems driven by nonwhite noises: An approximating scheme
    • KOREZLIOGLU, H. and Runggaldier, W. J. (1993). Filtering for non linear systems driven by nonwhite noises: an approximating scheme. Stoch. Stoch. Rep. 44, 65-102.
    • (1993) Stoch. Stoch. Rep. , vol.44 , pp. 65-102
    • Korezlioglu, H.1    Runggaldier, W.J.2
  • 19
    • 0024882115 scopus 로고
    • High order time discretization of nonlinear filtering equations
    • IEEE, New York
    • Legland, F. (1989). High order time discretization of nonlinear filtering equations. In Proc. 28th IÉÉÉ CDC. IEEE, New York, pp. 2601-2606.
    • (1989) Proc. 28Th IÉÉÉ CDC , pp. 2601-2606
    • Legland, F.1
  • 20
    • 0002503075 scopus 로고
    • Approximation and simulation of solutions of stochastic differential equations
    • PARDOUX, E. and Talay, D. (1985). Approximation and simulation of solutions of stochastic differential equations. Acta Appl. Math. 3, 23-47.
    • (1985) Acta Appl. Math. , vol.3 , pp. 23-47
    • Pardoux, E.1    Talay, D.2
  • 21
    • 0021293613 scopus 로고
    • Approximation of non linear filtering problems and order of convergence
    • (Lecture Notes in Control and Inform. Sci. 61), Springer, Berlin
    • PICARD, J. (1984). Approximation of non linear filtering problems and order of convergence. In Filtering and control of random processes. (Lecture Notes in Control and Inform. Sci. 61). Springer, Berlin.
    • (1984) Filtering and Control of Random Processes.
    • Picard, J.1
  • 22
    • 0022915679 scopus 로고
    • Nonlinear filtering of one-dimensional diffusions in the case of a high signal-to-noise ratio
    • PICARD, J. (1986). Nonlinear filtering of one-dimensional diffusions in the case of a high signal-to-noise ratio. SIAM J. Appl. Math. 16, 1098-1125.
    • (1986) SIAM J. Appl. Math. , vol.16 , pp. 1098-1125
    • Picard, J.1
  • 23
    • 0022988135 scopus 로고
    • An estimate of the error in time discretization of nonlinear filtering problems
    • C. I. Byrnes and A. Lindquist. North-Holland, Amsterdam
    • PICARD, J. (1986). An estimate of the error in time discretization of nonlinear filtering problems. In Proc. 7th MTNS - Theory and Applications of Nonlinear Control Systems, eds. C. I. Byrnes and A. Lindquist. North-Holland, Amsterdam, pp. 401-412.
    • (1986) Proc. 7Th MTNS - Theory and Applications of Nonlinear Control Systems , pp. 401-412
    • Picard, J.1
  • 24
    • 0021313777 scopus 로고
    • Efficient numerical schemes for the approximation of expectations of functionals of the solution of S.D.E. And applications
    • (Lecture Notes in Control and Inform. Sci. 61), Springer, Berlin
    • Talay, D. (1984). Efficient numerical schemes for the approximation of expectations of functionals of the solution of S.D.E. and applications. In Filtering and Control of random processes (Paris 1983) (Lecture Notes in Control and Inform. Sci. 61). Springer, Berlin, pp. 294-313.
    • (1984) Filtering and Control of Random Processes (Paris 1983) , pp. 294-313
    • Talay, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.