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Volumn 12, Issue 3, 2002, Pages 1096-1113

On invariant measures of discrete time filters in the correlated signal-noise case

Author keywords

Asymptotic stability; Invariant measures; Measure valued processes; Nonlinear filtering

Indexed keywords


EID: 0036387411     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1031863182     Document Type: Article
Times cited : (12)

References (10)
  • 2
    • 0034437888 scopus 로고    scopus 로고
    • Markov property and ergodicity of the nonlinear filter
    • BHATT, A., BUDHIRAJA, A. and KARANDIKAR, R. (2000). Markov property and ergodicity of the nonlinear filter. SIAM J. Control Optim. 39 928-949.
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 928-949
    • Bhatt, A.1    Budhiraja, A.2    Karandikar, R.3
  • 3
    • 0033313743 scopus 로고    scopus 로고
    • Relative entropy and error bounds for filtering of Markov processes
    • CLARK, J. M. C., OCONE, D. L. and COUMARBATCH, C. (1999). Relative entropy and error bounds for filtering of Markov processes. Math. Control Signals Systems 12 346-360.
    • (1999) Math. Control Signals Systems , vol.12 , pp. 346-360
    • Clark, J.M.C.1    Ocone, D.L.2    Coumarbatch, C.3
  • 5
    • 0001442283 scopus 로고
    • Asymptotic behavior of the nonlinear filtering errors of Markov processes
    • KUNITA, H. (1971). Asymptotic behavior of the nonlinear filtering errors of Markov processes. J. Multivariate Anal. 1 365-393.
    • (1971) J. Multivariate Anal. , vol.1 , pp. 365-393
    • Kunita, H.1
  • 6
    • 0003194655 scopus 로고
    • Ergodic properties of nonlinear filtering processes
    • K. C. Alexander and J. C. Watkins, eds. Birkhäuser, Boston
    • KUNITA, H. (1991). Ergodic properties of nonlinear filtering processes. In Spatial Stochastic Processes (K. C. Alexander and J. C. Watkins, eds.). Birkhäuser, Boston.
    • (1991) Spatial Stochastic Processes
    • Kunita, H.1
  • 7
    • 0033889380 scopus 로고    scopus 로고
    • Exponential forgetting and geometric ergodicity in hidden Markov models
    • LE GLAND, F. and MEVEL, L. (2000). Exponential forgetting and geometric ergodicity in hidden Markov models. Math. Control Signals Systems 13 63-93.
    • (2000) Math. Control Signals Systems , vol.13 , pp. 63-93
    • Le Gland, F.1    Mevel, L.2
  • 8
    • 0029760763 scopus 로고    scopus 로고
    • Asymptotic stability of the optimal filter with respect to its initial condition
    • OCONE, D. and PARDOUX, E. (1996). Asymptotic stability of the optimal filter with respect to its initial condition. SIAM J. Control Optim. 34 226-243.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 226-243
    • Ocone, D.1    Pardoux, E.2
  • 10
    • 0000936027 scopus 로고
    • Invariant measures of pair: State, approximate filtering process
    • STETTNER, L. (1991). Invariant measures of pair: State, approximate filtering process. Colloq. Math. 62 347-352.
    • (1991) Colloq. Math. , vol.62 , pp. 347-352
    • Stettner, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.