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Volumn 119, Issue 6, 2009, Pages 1792-1822

Sequential tracking of a hidden Markov chain using point process observations

Author keywords

Markov modulated Poisson processes; Optimal switching

Indexed keywords

BAYESIAN; ECONOMIC POLICIES; EFFICIENT NUMERICAL SCHEMES; FINITE HORIZONS; HIDDEN MARKOV CHAIN MODELS; HIDDEN MARKOV CHAINS; MARKOV MODULATED POISSON PROCESSES; OPTIMAL STRATEGIES; OPTIMAL SWITCHING; POINT PROCESS; POISSON DISORDER PROBLEMS; STATE VARIABLES; VALUE FUNCTIONS; VARIABLE DEMANDS;

EID: 64549161212     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2008.09.003     Document Type: Article
Times cited : (23)

References (26)
  • 1
    • 0034359462 scopus 로고    scopus 로고
    • Sequential testing problems for Poisson processes
    • Peskir G., and Shiryaev A.N. Sequential testing problems for Poisson processes. Ann. Statist. 28 (2000) 837-859
    • (2000) Ann. Statist. , vol.28 , pp. 837-859
    • Peskir, G.1    Shiryaev, A.N.2
  • 3
    • 33748431677 scopus 로고    scopus 로고
    • Poisson disorder problem with exponential penalty for delay
    • Bayraktar E., and Dayanik S. Poisson disorder problem with exponential penalty for delay. Math. Oper. Res. 31 2 (2006) 217-233
    • (2006) Math. Oper. Res. , vol.31 , Issue.2 , pp. 217-233
    • Bayraktar, E.1    Dayanik, S.2
  • 5
    • 64549086258 scopus 로고    scopus 로고
    • Quickest detection for a Poisson process with a phase-type change-time distribution
    • Technical Report, URL
    • E. Bayraktar, S. Sezer, Quickest detection for a Poisson process with a phase-type change-time distribution, Technical Report, University of Michigan, 2006. URL: http://arxiv.org/abs/math/0611563
    • (2006)
    • Bayraktar, E.1    Sezer, S.2
  • 6
    • 64549161038 scopus 로고    scopus 로고
    • Finite horizon decision timing with partially observable Poisson processes
    • Technical Report, University of Michigan
    • M. Ludkovski, S. Sezer, Finite horizon decision timing with partially observable Poisson processes, Technical Report, University of Michigan, 2007
    • (2007)
    • Ludkovski, M.1    Sezer, S.2
  • 7
    • 33746983029 scopus 로고    scopus 로고
    • Detection of intrusions in information systems by sequential change-point methods
    • Tartakovsky A.G., Rozovskii B.L., Blažek R.B., and Kim H. Detection of intrusions in information systems by sequential change-point methods. Stat. Methodol. 3 3 (2006) 252-293
    • (2006) Stat. Methodol. , vol.3 , Issue.3 , pp. 252-293
    • Tartakovsky, A.G.1    Rozovskii, B.L.2    Blažek, R.B.3    Kim, H.4
  • 8
    • 0344927059 scopus 로고    scopus 로고
    • Optimal tracking for an insurance model
    • Aggoun L. Optimal tracking for an insurance model. Stochastic Anal. Appl. 21 6 (2003) 1207-1214
    • (2003) Stochastic Anal. Appl. , vol.21 , Issue.6 , pp. 1207-1214
    • Aggoun, L.1
  • 9
    • 38249014923 scopus 로고
    • Filtering the histories of a partially observed marked point process
    • Arjas E., Haara P., and Norros I. Filtering the histories of a partially observed marked point process. Stochastic Process. Appl. 40 2 (1992) 225-250
    • (1992) Stochastic Process. Appl. , vol.40 , Issue.2 , pp. 225-250
    • Arjas, E.1    Haara, P.2    Norros, I.3
  • 10
    • 0001687963 scopus 로고    scopus 로고
    • Partially observed control of a Markov jump process with counting observations: Equivalence with the separated problem
    • Ceci C., and Gerardi A. Partially observed control of a Markov jump process with counting observations: Equivalence with the separated problem. Stochast. Process. Appl. 78 (1998) 245-260
    • (1998) Stochast. Process. Appl. , vol.78 , pp. 245-260
    • Ceci, C.1    Gerardi, A.2
  • 11
    • 0003273397 scopus 로고
    • Hidden Markov Models
    • Springer-Verlag, New York Estimation and control
    • Elliott R.J., Aggoun L., and Moore J.B. Hidden Markov Models. Applications of Mathematics vol. 29 (1995), Springer-Verlag, New York Estimation and control
    • (1995) Applications of Mathematics , vol.29
    • Elliott, R.J.1    Aggoun, L.2    Moore, J.B.3
  • 12
    • 64549161037 scopus 로고    scopus 로고
    • Particle filtering for continuous-time hidden Markov models
    • Conférence Oxford sur les méthodes de Monte Carlo séquentielles
    • Chopin N., and Varini E. Particle filtering for continuous-time hidden Markov models. ESAIM Proc. 19 (2007) 12-17 Conférence Oxford sur les méthodes de Monte Carlo séquentielles
    • (2007) ESAIM Proc. , vol.19 , pp. 12-17
    • Chopin, N.1    Varini, E.2
  • 13
    • 0024866634 scopus 로고
    • Impulse control of piecewise-deterministic processes
    • Costa O.L.V., and Davis M.H.A. Impulse control of piecewise-deterministic processes. Math. Control Signals Syst. 2 3 (1989) 187-206
    • (1989) Math. Control Signals Syst. , vol.2 , Issue.3 , pp. 187-206
    • Costa, O.L.V.1    Davis, M.H.A.2
  • 14
    • 4043118461 scopus 로고    scopus 로고
    • Impulse and continuous control of piecewise deterministic Markov processes
    • Costa O.L.V., and Raymundo C.A.B. Impulse and continuous control of piecewise deterministic Markov processes. Stochast. Stochast. Rep. 70 1-2 (2000) 75-107
    • (2000) Stochast. Stochast. Rep. , vol.70 , Issue.1-2 , pp. 75-107
    • Costa, O.L.V.1    Raymundo, C.A.B.2
  • 20
    • 0011061476 scopus 로고
    • Passage-time generating functions for continuous-time finite Markov chains
    • Darroch J.N., and Morris K.W. Passage-time generating functions for continuous-time finite Markov chains. J. Appl. Probab. 5 2 (1968) 414-426
    • (1968) J. Appl. Probab. , vol.5 , Issue.2 , pp. 414-426
    • Darroch, J.N.1    Morris, K.W.2
  • 22
    • 4944254628 scopus 로고    scopus 로고
    • Optimal Bayesian design by inhomogeneous Markov chain simulation
    • Muller P., Sanso B., and De Iorio M. Optimal Bayesian design by inhomogeneous Markov chain simulation. J. Amer. Statist. Assoc. 99 (2004) 788-798
    • (2004) J. Amer. Statist. Assoc. , vol.99 , pp. 788-798
    • Muller, P.1    Sanso, B.2    De Iorio, M.3
  • 23
    • 0024090782 scopus 로고
    • Switching control of piecewise-deterministic processes
    • Lenhart S.M., and Liao Y.C. Switching control of piecewise-deterministic processes. J. Optim. Theory Appl. 59 1 (1988) 99-115
    • (1988) J. Optim. Theory Appl. , vol.59 , Issue.1 , pp. 99-115
    • Lenhart, S.M.1    Liao, Y.C.2
  • 24
    • 33750528652 scopus 로고
    • Optimal stopping of a piecewise-deterministic Markov process
    • Gugerli U. Optimal stopping of a piecewise-deterministic Markov process. Stochastics 19 4 (1986) 221-236
    • (1986) Stochastics , vol.19 , Issue.4 , pp. 221-236
    • Gugerli, U.1
  • 25
    • 0023865878 scopus 로고
    • Approximations for optimal stopping of a piecewise-deterministic process
    • Costa O.L.V., and Davis M.H.A. Approximations for optimal stopping of a piecewise-deterministic process. Math. Control Signals Syst. 1 2 (1988) 123-146
    • (1988) Math. Control Signals Syst. , vol.1 , Issue.2 , pp. 123-146
    • Costa, O.L.V.1    Davis, M.H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.