Filtering of finite-state time-nonhomogeneous markov processes: A direct approach

Applied Mathematics and Optimization

Volumn 42, Issue 3, 2000, Pages 229-258

  Krylov, N V ^a   Zatezalo, A ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Filtering; Finite state Markov processes

Indexed keywords

EID: 33645340045     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002450010012     Document Type: Article

References (9)

1. L. Aggoun, R.L. Elliott, Finite-dimensional models for Hidden Markov chains, Adv. Appl. Probab. 27:146-160, 1995.
2. P. Billingsley, Probability and Measure, second edition, Willey, New York, 1986.
3. P. Brémaud, Point Processes and Queues, Martingale Dynamics, Springer-Verlag, New York, 1981.
4. J.L. Doob, Stochastic Processes, Wiley, New York, 1953.
5. R.J. Elliott, L. Aggoun, J.B. Moore, Hidden Markov Models, Springer-Verlag, New York, 1995.
6. R.S. Liptser, A.N. Shiryayev, Statistics of Random Processes, Vol. 1, Springer-Verlag, New York, 1977-1978.
7. R.S. Liptser, A.N. Shiryayev, Statistics of Random Processes, Vol. 2, Springer-Verlag, New York, 1977-1978.
8. R.S. Liptser, A.N. Shiryayev, Theory of Martingales, Kluver, Dordrecht, 1989.
9. N. Portenko, H. Salehi, A. Skorokhod, On optimal filtering of multitarget tracking systems based on point processes observations, Random Oper. Stochastic Equations 5(1): 1-34, 1997.