Robustness of the nonlinear filter

Stochastic Processes and their Applications

Volumn 81, Issue 2, 1999, Pages 247-254

  Bhatt, Abhay G ^a   Kallianpur, G ^b   Karandikar, Rajeeva L ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

Nonlinear filtering; Robustness

Indexed keywords

EID: 0033147527     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(98)00106-9     Document Type: Article

References (11)

1. Bhatt A.G., Kallianpur G., Karandikar R.L. Uniqueness and robustness of solution of measure valued equations of nonlinear filtering. Ann. Probab. 23:1995;1895-1938.
2. di Masi, G.B., Runggaldier, W.J., 1982. On approximation methods for nonlinear filtering. Nonlinear Filtering and Stochastic Control. Lecture Notes in Mathematics, vol. 972, Springer, Berlin, pp. 249-259.
3. Ethier, S.N., Kurtz, T.G., 1986. Markov Processes: Characterization and Convergence. Wiley, New York.
4. Goggin E. Convergence of filters with applications to the Kalman-Bucy case. IEEE Trans. Inform. Theory. 38:1992;1091-1100.
5. Goggin E. Limits of conditional expectations. IEEE Trans. Inform. Theory. 39:1993;1967-1972.
6. Goggin E. Convergence in distributions of conditional expectations. Ann. Probab. 22:1994;1097-1114.
7. Kallianpur, G., 1980. Stochastic Filtering Theory. Springer, New York.
8. Kallianpur, G., Karandikar, R.L., 1988. White Noise Theory of Prediction, Filtering and Smoothing. Gordon and Breach, New York.
9. Kunita, H., 1991. Ergodic properties of nonlinear filtering processes. In: Alexander, K.S., Watkins, J.C. (Eds.), Spatial Stochastic Processes. Birkhauser, Boston.
10. Stettner, L., 1989. On invariant measures of filtering processes. In: Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol. 126, Springer, Berlin.
11. Yor, M., 1977. Sur les théories du filtrage et de la prédiction. Séminaire de Probabilités XI. Lecture Notes in Mathematics, vol. 581, Springer, Berlin, pp. 257-297.