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Volumn 7, Issue 4, 1997, Pages 917-934

Nonlinear filtering problem with contamination

Author keywords

Averaging principle; Convergence of total variation; Diffusions

Indexed keywords


EID: 0031260689     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1043862418     Document Type: Article
Times cited : (7)

References (17)
  • 4
    • 0026867441 scopus 로고
    • Convergence of filters with application to the Kalman-Bucy case
    • GOGGIN, E. (1992). Convergence of filters with application to the Kalman-Bucy case. IEEE Trans. Inform. Theory 38 1091-1100.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 1091-1100
    • Goggin, E.1
  • 5
    • 0001659363 scopus 로고
    • Convergence in distribution of conditional expectations
    • GOGGIN, E. (1994). Convergence in distribution of conditional expectations. Ann. Probab. 22 1097-1114.
    • (1994) Ann. Probab. , vol.22 , pp. 1097-1114
    • Goggin, E.1
  • 7
    • 0040152018 scopus 로고
    • The averaging principle for parabolic and elliptic differential equations and Markov processes with small diffusion
    • KHASMINSKII, R. Z. (1993). The averaging principle for parabolic and elliptic differential equations and Markov processes with small diffusion. Theory Probab. Appl. 3 1-21.
    • (1993) Theory Probab. Appl. , vol.3 , pp. 1-21
    • Khasminskii, R.Z.1
  • 8
    • 33746292669 scopus 로고
    • Dynamical equations for optimal nonlinear filtering
    • KUSHNER, H. J. (1967). Dynamical equations for optimal nonlinear filtering. J. Differential Equations 3 179-190.
    • (1967) J. Differential Equations , vol.3 , pp. 179-190
    • Kushner, H.J.1
  • 10
    • 0023288112 scopus 로고
    • Filtering and control for wide bandwidth noise driven systems
    • KUSHNER, H. J. and RUNGGALDIER, W. J. (1987). Filtering and control for wide bandwidth noise driven systems. IEEE Trans. Automat. Control 32 123-133.
    • (1987) IEEE Trans. Automat. Control , vol.32 , pp. 123-133
    • Kushner, H.J.1    Runggaldier, W.J.2
  • 16
    • 0002382242 scopus 로고
    • A simple proof of uniqueness for Kushner and Zakai equations
    • ROZOVSKII, B. L. (1991). A simple proof of uniqueness for Kushner and Zakai equations. In Stochastic Analysis 449-458.
    • (1991) Stochastic Analysis , pp. 449-458
    • Rozovskii, B.L.1
  • 17
    • 0001702452 scopus 로고
    • On the optimal filtering of diffusion processes
    • ZAKAI, M. (1969). On the optimal filtering of diffusion processes. Z. Wahrsch. Verw. Gebiete 11 205-238.
    • (1969) Z. Wahrsch. Verw. Gebiete , vol.11 , pp. 205-238
    • Zakai, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.