메뉴 건너뛰기




Volumn 44, Issue 2, 2001, Pages 177-201

Counting observations: A note on state estimation sensitivity with an L1-bound

Author keywords

Counting processes; Coupling; Filtering; Jump processes; Robustness; Smoothing

Indexed keywords

ERROR ANALYSIS; FUNCTIONS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; POISSON EQUATION; PROBABILITY; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS;

EID: 0242456889     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-001-0018-6     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 0242529885 scopus 로고    scopus 로고
    • A note on sensitivity for intensity function estimation of a poisson process
    • unpublished manuscript
    • E. Arjas, G. Nappo (1997), A note on sensitivity for intensity function estimation of a Poisson process, unpublished manuscript.
    • (1997)
    • Arjas, E.1    Nappo, G.2
  • 2
    • 0032236910 scopus 로고    scopus 로고
    • Exponential stability for nonlinear filtering of diffusion processes in non-compact domain
    • R. Altar (1998), Exponential stability for nonlinear filtering of diffusion processes in non-compact domain, Ann. Probab., 26(4):1552-1574.
    • (1998) Ann. Probab. , vol.26 , Issue.4 , pp. 1552-1574
    • Altar, R.1
  • 3
    • 0031498168 scopus 로고    scopus 로고
    • Exponential stability for nonlinear filtering
    • R. Altar, O. Zeitouni (1997), Exponential stability for nonlinear filtering. Ann. Inst. H. Poincaré, 33(6):697-725.
    • (1997) Ann. Inst. H. Poincaré , vol.33 , Issue.6 , pp. 697-725
    • Altar, R.1    Zeitouni, O.2
  • 6
    • 0031139499 scopus 로고    scopus 로고
    • Exponential stability of discrete-time filters for bounded observation noise
    • A. Budhiraja, D. Ocone (1997), Exponential stability of discrete-time filters for bounded observation noise, System Control Lett., 30:185-193.
    • (1997) System Control Lett. , vol.30 , pp. 185-193
    • Budhiraja, A.1    Ocone, D.2
  • 7
    • 0033184461 scopus 로고    scopus 로고
    • Approximation and limit results for nonlinear filters over an infinite time interval
    • A. Budhiraja, H. J. Kushner (1997), Approximation and limit results for nonlinear filters over an infinite time interval, SIAM J. Control Optim., 37(6):1946-1979.
    • (1997) SIAM J. Control Optim. , vol.37 , Issue.6 , pp. 1946-1979
    • Budhiraja, A.1    Kushner, H.J.2
  • 8
    • 0032166438 scopus 로고    scopus 로고
    • Robustness of nonlinear filters over the infinite time interval
    • A. Budhiraja, H. J. Kushner (1998), Robustness of nonlinear filters over the infinite time interval, SIAM J. Control Optim., 36(5):1618-1637.
    • (1998) SIAM J. Control Optim. , vol.36 , Issue.5 , pp. 1618-1637
    • Budhiraja, A.1    Kushner, H.J.2
  • 9
    • 0002561973 scopus 로고    scopus 로고
    • A filtering problem with counting observations: Error bound due to the uncertainty on the infinitesimal parameters
    • A. Calzolari, G. Nappo (1997), A filtering problem with counting observations: error bound due to the uncertainty on the infinitesimal parameters, Stochastics Stochastics Rep., 61:1-19.
    • (1997) Stochastics Stochastics Rep. , vol.61 , pp. 1-19
    • Calzolari, A.1    Nappo, G.2
  • 10
    • 0033704203 scopus 로고    scopus 로고
    • Robust approximation in a filtering problem with real state space and counting observations
    • A. Calzolari, G. Nappo (2000), Robust Approximation in a Filtering Problem with Real State Space and Counting Observations, Appl. Math. Optim., 42:51-71.
    • (2000) Appl. Math. Optim. , vol.42 , pp. 51-71
    • Calzolari, A.1    Nappo, G.2
  • 11
    • 51249162906 scopus 로고
    • Optimal Markovian couplings and applications
    • Mu Fa Chen (1994) Optimal Markovian couplings and applications, Acta Math. Sinica, 10(3):260-275.
    • (1994) Acta Math. Sinica , vol.10 , Issue.3 , pp. 260-275
    • Chen, M.F.1
  • 13
    • 0025519625 scopus 로고
    • On the unnormalized solution of the filtering problem with counting process observations
    • W. H. Kliemann, G. Koch, F. Marchetti (1990), On the unnormalized solution of the filtering problem with counting process observations, IEEE Trans. Inform. Theory, 36(6):1415-1425.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.6 , pp. 1415-1425
    • Kliemann, W.H.1    Koch, G.2    Marchetti, F.3
  • 14
    • 0242614529 scopus 로고    scopus 로고
    • Robustness and convergence of approximations to nonlinear filters for jump-diffusions
    • H. J. Kushner (1997), Robustness and convergence of approximations to nonlinear filters for jump-diffusions, Comput. Appl. Math., 16(2):153-183.
    • (1997) Comput. Appl. Math. , vol.16 , Issue.2 , pp. 153-183
    • Kushner, H.J.1
  • 16
    • 0030078484 scopus 로고    scopus 로고
    • On the Lebesgue decomposition of the posterior distribution with respect to the prior in regular Bayesian experiments
    • C. Macci (1996), On the Lebesgue decomposition of the posterior distribution with respect to the prior in regular Bayesian experiments, Statist. Probab. Lett., 26:147-152.
    • (1996) Statist. Probab. Lett. , vol.26 , pp. 147-152
    • Macci, C.1
  • 17
    • 0033248040 scopus 로고    scopus 로고
    • Asymptotic stability of Beneš filters
    • D. L. Ocone (1998) Asymptotic stability of Beneš filters, Stochastic Anal. Appl., 17(6):1053-1074.
    • (1998) Stochastic Anal. Appl. , vol.17 , Issue.6 , pp. 1053-1074
    • Ocone, D.L.1
  • 18
    • 0029760763 scopus 로고    scopus 로고
    • Asymptotic stability of the optimal filter with respect to its initial conditions
    • D. L. Ocone, E. Pardoux (1996), Asymptotic stability of the optimal filter with respect to its initial conditions, SIAM J. Control Optim., 34(1):226-243.
    • (1996) SIAM J. Control Optim. , vol.34 , Issue.1 , pp. 226-243
    • Ocone, D.L.1    Pardoux, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.