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Volumn 46, Issue 2-3, 2002, Pages 81-88

Nonlinear filtering with Fractional Brownian Motion

Author keywords

Fractional Brownian motion; Nonlinear filtering; Reproducing kernel Hilbert space; Stochastic differential equations

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; NONLINEAR FILTERING; PERTURBATION TECHNIQUES;

EID: 0141973218     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-002-0754-2     Document Type: Article
Times cited : (8)

References (9)
  • 1
    • 0024078858 scopus 로고
    • Signal detection in fractional Gaussian noise
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    • (1988) IEEE Trans. Inform. Theory , vol.34 , Issue.5 , pp. 943-959
    • Barton, R.J.1    Poor, H.V.2
  • 2
    • 0033260473 scopus 로고    scopus 로고
    • Abstract nonlinear filtering theory in the presence of fractional Brownian motion
    • L. Coutin, L. Decreusefond, Abstract nonlinear filtering theory in the presence of fractional Brownian motion, Ann. Appl. Probab. 9(4) (1999), 1058-1090.
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.4 , pp. 1058-1090
    • Coutin, L.1    Decreusefond, L.2
  • 4
    • 0032040758 scopus 로고    scopus 로고
    • Nonlinear filtering for processes with fractional Brownian motion
    • (in Russian)
    • M.L. Kleptsyna, P.E. Kloeden, V.V. Anh Nonlinear filtering for processes with fractional Brownian motion (in Russian), Problemy Peredachi Informatsii 34(2) (1998), 65-76.
    • (1998) Problemy Peredachi Informatsii , vol.34 , Issue.2 , pp. 65-76
    • Kleptsyna, M.L.1    Kloeden, P.E.2    Anh, V.V.3
  • 5
  • 6
    • 0141878232 scopus 로고    scopus 로고
    • Linear filtering with fractional Brownian motion in the signal and observation processes
    • M.L. Kleptsyna, P.E. Kloeden, V.V. Anh, Linear filtering with fractional Brownian motion in the signal and observation processes, J. Appl. Math. Stochastic Anal. 12(1) (1999), 85-90
    • (1999) J. Appl. Math. Stochastic Anal. , vol.12 , Issue.1 , pp. 85-90
    • Kleptsyna, M.L.1    Kloeden, P.E.2    Anh, V.V.3
  • 7
    • 0141856377 scopus 로고    scopus 로고
    • General approach to filtering with fractional Brownian noises - Applications to linear systems
    • M.L. Kleptsyna, A. Le Breton, M.-C. Roubaud General approach to filtering with fractional Brownian noises - applications to linear systems, Stochastics Stochastics Rep. 71(1-2), (2000), 119-140.
    • (2000) Stochastics Stochastics Rep. , vol.71 , Issue.1-2 , pp. 119-140
    • Kleptsyna, M.L.1    Le Breton, A.2    Roubaud, M.-C.3
  • 8
    • 0032525495 scopus 로고    scopus 로고
    • Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion
    • A. Le Breton, Filtering and parameter estimation in a simple linear system driven by a fractional Brownian motion, Statistics Probab. Lett. 38 (1998), 263-274.
    • (1998) Statistics Probab. Lett. , vol.38 , pp. 263-274
    • Le Breton, A.1
  • 9
    • 0001799115 scopus 로고
    • Regression analysis of continuous parameter time series
    • University of California Press, Berkeley, CA
    • E. Parzen, Regression analysis of continuous parameter time series, Proc. 4th Berkeley Sympos. Math. Statist. Probab., vol. I, pp. 469-489, University of California Press, Berkeley, CA, 1961.
    • (1961) Proc. 4th Berkeley Sympos. Math. Statist. Probab. , vol.1 , pp. 469-489
    • Parzen, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.