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Volumn 19, Issue 1, 2009, Pages 49-57

Nonlinear filtering for Markov systems with delayed observations

Author keywords

Diffusion processes; Jump processes; Markov processes; Nonlinear filtering; Stochastic delay differential equation

Indexed keywords

CORRELATED NOISE; DELAYED OBSERVATIONS; DIFFUSION PROCESSES; EXPLICIT REPRESENTATIONS; FUNCTIONALS; JUMP PROCESSES; MARKOV SYSTEMS; MARKOVIAN; NON-LINEAR FILTERING PROBLEMS; STOCHASTIC DELAY DIFFERENTIAL EQUATION;

EID: 64149095324     PISSN: 1641876X     EISSN: None     Source Type: Journal    
DOI: 10.2478/v10006-009-0004-8     Document Type: Article
Times cited : (3)

References (24)
  • 1
    • 0020705921 scopus 로고
    • Existence, uniqueness, and asymptotic behavior of solutions to a class of Zakai equations with unbounded coefficients
    • Baras, J. S., Blankenship, G. L. and Hopkins, Jr., W. E. (1983). Existence, uniqueness, and asymptotic behavior of solutions to a class of Zakai equations with unbounded coefficients, IEEE Transactions on Automatic Control 28(2): 203-214.
    • (1983) IEEE Transactions on Automatic Control , vol.28 , Issue.2 , pp. 203-214
    • Baras, J.S.1    Blankenship, G.L.2    Hopkins Jr., W.E.3
  • 2
    • 21344437201 scopus 로고
    • Uniqueness and robustness of solution of measure-valued equations of nonlinear filtering
    • Bhatt, A. G., Kallianpur, G. and Karandikar, R. L. (1995). Uniqueness and robustness of solution of measure-valued equations of nonlinear filtering, The Annals of Probability 23(4): 1895-1938.
    • (1995) The Annals of Probability , vol.23 , Issue.4 , pp. 1895-1938
    • Bhatt, A.G.1    Kallianpur, G.2    Karandikar, R.L.3
  • 5
    • 33947245055 scopus 로고    scopus 로고
    • Approximation of nonlinear filters for Markov systems with delayed observations
    • Calzolari, A., Florchinger, P. and Nappo, G. (2006). Approximation of nonlinear filters for Markov systems with delayed observations, SIAM Journal on Control and Optimization 45(2): 599-633.
    • (2006) SIAM Journal on Control and Optimization , vol.45 , Issue.2 , pp. 599-633
    • Calzolari, A.1    Florchinger, P.2    Nappo, G.3
  • 7
    • 14344252101 scopus 로고
    • Existence and uniqueness of solutions to a class of stochastic partial differential equations
    • Cannarsa, P. and Vespri, V. (1985). Existence and uniqueness of solutions to a class of stochastic partial differential equations, Stochastic Analysis and Applications 3(3): 315-339.
    • (1985) Stochastic Analysis and Applications , vol.3 , Issue.3 , pp. 315-339
    • Cannarsa, P.1    Vespri, V.2
  • 8
    • 64149132232 scopus 로고    scopus 로고
    • Clark, J. M. C. (1978). The design of robust approximations to the stochastic differential equations of nonlinear filtering, Communication systems and random process theory (Proceedings of the 2nd NATO Advanced Study Institute, Darlington, 1977), 25 of NATO Advanced Study Institute Series E: Applied Sciences, Sijthoff & Noordhoff, Alphen aan den Rijn, pp. 721-734.
    • Clark, J. M. C. (1978). The design of robust approximations to the stochastic differential equations of nonlinear filtering, Communication systems and random process theory (Proceedings of the 2nd NATO Advanced Study Institute, Darlington, 1977), Vol. 25 of NATO Advanced Study Institute Series E: Applied Sciences, Sijthoff & Noordhoff, Alphen aan den Rijn, pp. 721-734.
  • 9
    • 33750522200 scopus 로고    scopus 로고
    • A filtering approach to tracking volatility from prices observed at random times
    • Cvitanić, J., Liptser, R. and Rozovskii, B. (2006). A filtering approach to tracking volatility from prices observed at random times, The Annals of Applied Probability 16(3): 1633-1652.
    • (2006) The Annals of Applied Probability , vol.16 , Issue.3 , pp. 1633-1652
    • Cvitanić, J.1    Liptser, R.2    Rozovskii, B.3
  • 11
    • 0042044192 scopus 로고
    • Robust filtering for correlated multidimensional observations
    • Elliott, R. J. and Kohlmann, M. (1981). Robust filtering for correlated multidimensional observations, Mathematische Zeitschrift 178(4): 559-578.
    • (1981) Mathematische Zeitschrift , vol.178 , Issue.4 , pp. 559-578
    • Elliott, R.J.1    Kohlmann, M.2
  • 12
    • 0027698120 scopus 로고
    • Zakai equation of nonlinear filtering with unbounded coefficients. The case of dependent noises
    • Florchinger, P. (1993). Zakai equation of nonlinear filtering with unbounded coefficients. The case of dependent noises, Systems & Control Letters 21(5): 413-422.
    • (1993) Systems & Control Letters , vol.21 , Issue.5 , pp. 413-422
    • Florchinger, P.1
  • 16
    • 23244437439 scopus 로고    scopus 로고
    • Efficient hedging when asset prices follow a geometric Poisson process with unknown intensities
    • Kirch, M. and Runggaldier, W. J. (2004/05). Efficient hedging when asset prices follow a geometric Poisson process with unknown intensities, SIAM Journal on Control and Optimization 43(4): 1174-1195.
    • (2005) SIAM Journal on Control and Optimization , vol.43 , Issue.4 , pp. 1174-1195
    • Kirch, M.1    Runggaldier, W.J.2
  • 17
    • 0025519625 scopus 로고
    • On the unnormalized solution of the filtering problem with counting observations
    • Kliemann, W., Koch, G. and Marchetti, F. (1990). On the unnormalized solution of the filtering problem with counting observations, IEEE Transactions on Information Theory 316(6): 1415-1425.
    • (1990) IEEE Transactions on Information Theory , vol.316 , Issue.6 , pp. 1415-1425
    • Kliemann, W.1    Koch, G.2    Marchetti, F.3
  • 18
    • 0000254487 scopus 로고
    • Stochastic differential equations and stochastic flows of diffeomorphisms
    • École d'été de probabilités de Saint-Flour, XII1982, of, Springer, Berlin, pp
    • Kunita, H. (1984). Stochastic differential equations and stochastic flows of diffeomorphisms, École d'été de probabilités de Saint-Flour, XII1982, Vol. 1097 of Lecture Notes in Mathematics, Springer, Berlin, pp. 143-303.
    • (1984) Lecture Notes in Mathematics , vol.1097 , pp. 143-303
    • Kunita, H.1
  • 19
    • 64149129449 scopus 로고    scopus 로고
    • Liptser, R. S. and Shiryaev, A. N. (1977). Statistics of random processes. I, 5 of Applications of Mathematics, Expanded Edn, Springer-Verlag, Berlin.
    • Liptser, R. S. and Shiryaev, A. N. (1977). Statistics of random processes. I, Vol. 5 of Applications of Mathematics, Expanded Edn, Springer-Verlag, Berlin.
  • 20
    • 0002064777 scopus 로고
    • Filtrage non linéaire et équations aux dérivées partielles stochastiques associées
    • Ecole d'Eté de Probabilités de Saint-Flour XIX1989, of, Springer, Berlin, pp
    • Pardoux, E. (1991). Filtrage non linéaire et équations aux dérivées partielles stochastiques associées, Ecole d'Eté de Probabilités de Saint-Flour XIX1989, Vol. 1464 of Lecture Notes in Mathematics, Springer, Berlin, pp. 67-163.
    • (1991) Lecture Notes in Mathematics , vol.1464 , pp. 67-163
    • Pardoux, E.1
  • 22
    • 64149131707 scopus 로고    scopus 로고
    • Sussmann, H. J. (1981). Rigorous results on the cubic sensor problem, Stochastic systems: The mathematics of filtering and identification and applications (Les Arcs, 1980), 78 of NATO Advanced Study Institute Series C: Mathematical and Physical Sciences, Reidel, Dordrecht, pp. 637-648.
    • Sussmann, H. J. (1981). Rigorous results on the cubic sensor problem, Stochastic systems: The mathematics of filtering and identification and applications (Les Arcs, 1980), Vol. 78 of NATO Advanced Study Institute Series C: Mathematical and Physical Sciences, Reidel, Dordrecht, pp. 637-648.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.