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Volumn 48, Issue 2, 2003, Pages 93-128

Convergence of nonlinear filters for randomly perturbed dynamical systems

Author keywords

Martingale problems; Measure valued processes; Nonlinear filter equations; Weak convergence

Indexed keywords

FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBABILITY; PROBLEM SOLVING; THEOREM PROVING;

EID: 0142059896     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-003-0772-8     Document Type: Article
Times cited : (8)

References (21)
  • 2
    • 0000022835 scopus 로고
    • Invariant measures and evolution equations for Markov processes characterized via martingale problems
    • Bhatt A.G., Karandikar R.L. (1993) Invariant measures and evolution equations for Markov processes characterized via martingale problems. Ann. Probab., 21: 2246-2268.
    • (1993) Ann. Probab. , vol.21 , pp. 2246-2268
    • Bhatt, A.G.1    Karandikar, R.L.2
  • 3
    • 21144463780 scopus 로고
    • Weak convergence to a Markov process: The martingale approach
    • Bhatt A.G., Karandikar R.L. (1993) Weak convergence to a Markov process: the martingale approach. Probab. Theory Rel. Fields, 96: 335-351.
    • (1993) Probab. Theory Rel. Fields , vol.96 , pp. 335-351
    • Bhatt, A.G.1    Karandikar, R.L.2
  • 4
    • 0142104685 scopus 로고    scopus 로고
    • Robustness of the nonlinear filter: The correlated case
    • Bhatt A.G., Karandikar R.L. (2002) Robustness of the nonlinear filter: the correlated case. Stochastic Process Appl., 97: 41-58.
    • (2002) Stochastic Process Appl. , vol.97 , pp. 41-58
    • Bhatt, A.G.1    Karandikar, R.L.2
  • 6
    • 0017972055 scopus 로고
    • Stability and control of stochastic systems with wide-band noise disturbances I
    • Blankenship G., Papanicolaou G.C. (1968) Stability and control of stochastic systems with wide-band noise disturbances I. SIAM J. Appl. Math., 34: 437-476.
    • (1968) SIAM J. Appl. Math. , vol.34 , pp. 437-476
    • Blankenship, G.1    Papanicolaou, G.C.2
  • 7
    • 0002275662 scopus 로고
    • Measure-valued Markov processes
    • Springer-Verlag, Berlin
    • Dawson D.A. (1993) Measure-Valued Markov Processes. Lecture Notes in Mathematics, no. 1541, pages 1-260. Springer-Verlag, Berlin.
    • (1993) Lecture Notes in Mathematics , Issue.1541 , pp. 1-260
    • Dawson, D.A.1
  • 10
    • 84972561398 scopus 로고
    • Stochastic differential equations for the non-linear filtering problem
    • Fujisaki M., Kallianpur G., Kunita H. (1972) Stochastic differential equations for the non-linear filtering problem. Osaka J. Math., 9: 19-40.
    • (1972) Osaka J. Math. , vol.9 , pp. 19-40
    • Fujisaki, M.1    Kallianpur, G.2    Kunita, H.3
  • 11
    • 0001659363 scopus 로고
    • Convergence in distribution of conditional expectations
    • Goggin E.M. (1994) Convergence in distribution of conditional expectations. Ann. Probab., 22: 1097-1114.
    • (1994) Ann. Probab. , vol.22 , pp. 1097-1114
    • Goggin, E.M.1
  • 12
    • 0000710250 scopus 로고
    • Partially observed control of Markov processes I
    • Hijab O. (1989) Partially observed control of Markov processes I. Stochastics, 28: 123-144.
    • (1989) Stochastics , vol.28 , pp. 123-144
    • Hijab, O.1
  • 14
    • 0005376206 scopus 로고
    • On the Metivier-Pellaumail inequality, Emery topology and pathwise formulae in stochastic calculus
    • Karandikar R.L. (1989) On the Metivier-Pellaumail inequality, Emery topology and pathwise formulae in stochastic calculus. Sankhyã Ser. A, 51: 121-143.
    • (1989) Sankhyã Ser. A , vol.51 , pp. 121-143
    • Karandikar, R.L.1
  • 16
    • 0002888662 scopus 로고    scopus 로고
    • Martingale problems for conditional distributions of Markov processes
    • Kurtz T.G. (1998) Martingale problems for conditional distributions of Markov processes. Electron J. Probab., 3: 1-29.
    • (1998) Electron J. Probab. , vol.3 , pp. 1-29
    • Kurtz, T.G.1
  • 17
    • 0001868645 scopus 로고
    • Unique characterization of conditional distributions in nonlinear filtering
    • Kurtz T.G., Ocone D.L. (1988) Unique characterization of conditional distributions in nonlinear filtering. Ann. Probab., 16: 80-107.
    • (1988) Ann. Probab. , vol.16 , pp. 80-107
    • Kurtz, T.G.1    Ocone, D.L.2
  • 18
    • 0035591096 scopus 로고    scopus 로고
    • On uniqueness of solutions for the stochastic differential equations of nonlinear filtering
    • Lucic V.M., Heunis A.J. (2001) On uniqueness of solutions for the stochastic differential equations of nonlinear filtering. Ann. Appl. Probab., 11: 182-209.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 182-209
    • Lucic, V.M.1    Heunis, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.