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Volumn 82, Issue 11, 2009, Pages 1991-2001

Improved parameter estimates for non-linear dynamical models using a bootstrap method

Author keywords

Bootstrap; Error in variables; Measurement uncertainty; NARX and NARMAX models; Non linear systems identification; Orthogonal least squares; Parameter estimation

Indexed keywords

BOOTSTRAP; MEASUREMENT UNCERTAINTY; NARX AND NARMAX MODELS; NON-LINEAR SYSTEMS IDENTIFICATION; ORTHOGONAL LEAST-SQUARES;

EID: 70349647853     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170902854118     Document Type: Article
Times cited : (22)

References (25)
  • 1
    • 0026151452 scopus 로고
    • The constrained total least squares technique and its applications to harmonic super-regression
    • Abatzoglou, T.J., Mendel, J.M., and Harada, G.A. (1991), 'The Constrained Total Least Squares Technique and its Applications to Harmonic Super-Regression', IEEE Transactions on Signal Processing, 39, 1070-1087.
    • (1991) IEEE Transactions on Signal Processing , vol.39 , pp. 1070-1087
    • Abatzoglou, T.J.1    Mendel, J.M.2    Harada, G.A.3
  • 3
    • 0004838693 scopus 로고    scopus 로고
    • The determination of multivariable nonlinear models for dynamic systems using neural networks
    • ed. C.T. Leondes, San Diego: Academic Press
    • Billings, S.A., and Chen, S. (1998), 'The Determination of Multivariable Nonlinear Models for Dynamic Systems Using Neural Networks', in Neural Network Systems Techniques and Applications, ed. C.T. Leondes, San Diego: Academic Press, pp. 231-278.
    • (1998) Neural Network Systems Techniques and Applications , pp. 231-278
    • Billings, S.A.1    Chen, S.2
  • 4
    • 0024685547 scopus 로고
    • Identification of MIMO non-linear systems suing a forward regression orthogonal estimator
    • Billings, S.A., Chen, S., and Korenberg, M.J. (1989), 'Identification of MIMO Non-Linear Systems Suing a Forward Regression Orthogonal Estimator', International Journal of Control, 49, 2157-2189.
    • (1989) International Journal of Control , vol.49 , pp. 2157-2189
    • Billings, S.A.1    Chen, S.2    Korenberg, M.J.3
  • 5
    • 0021444961 scopus 로고
    • Least squares parameter estimation algorithm for nonlinear systems
    • Billings, S.A., and Voon, W.S.F. (1984), 'Least Squares Parameter Estimation Algorithm for NonLinear Systems', International Journal of System Science, 15, 601-615.
    • (1984) International Journal of System Science , vol.15 , pp. 601-615
    • Billings, S.A.1    Voon, W.S.F.2
  • 6
    • 0022752513 scopus 로고
    • Correlation based model validity tests for nonlinear models
    • Billings, S.A., and Voon, W.S.F. (1986), 'Correlation Based Model Validity Tests for Nonlinear Models', International Journal of Control, 44, 235-244.
    • (1986) International Journal of Control , vol.44 , pp. 235-244
    • Billings, S.A.1    Voon, W.S.F.2
  • 7
    • 0001658853 scopus 로고
    • Nonlinear model validation using correlation tests
    • Billings, S.A., and Zhu, Q.M. (1994), 'Nonlinear Model Validation Using Correlation Tests', International Journal of Control, 60, 1107-1120.
    • (1994) International Journal of Control , vol.60 , pp. 1107-1120
    • Billings, S.A.1    Zhu, Q.M.2
  • 9
    • 0024771664 scopus 로고
    • Orthogonal least squares methods and their application to non- linear system identification
    • Chen, S., Billings, S.A., and Luo, W. (1989), 'Orthogonal Least Squares Methods and their Application to Non- Linear System Identification,', International Journal of Control, 50, 1873-1896.
    • (1989) International Journal of Control , vol.50 , pp. 1873-1896
    • Chen, S.1    Billings, S.A.2    Luo, W.3
  • 10
    • 0016794665 scopus 로고
    • The effects of errors in the independent variables in linear regression
    • Davies, R.B., and Hutton, B. (1975), 'The Effects of Errors in the Independent Variables in Linear Regression', Biometrika, 62, 383-391.
    • (1975) Biometrika , vol.62 , pp. 383-391
    • Davies, R.B.1    Hutton, B.2
  • 11
    • 0035480039 scopus 로고    scopus 로고
    • Jackknife and bootstrap methods in the identification of dynamic models
    • Duchesne, C., and MacGregor, J.F. (2001), 'Jackknife and Bootstrap Methods in the Identification of Dynamic Models', Journal of Process Control, 11, 553-564.
    • (2001) Journal of Process Control , vol.11 , pp. 553-564
    • Duchesne, C.1    MacGregor, J.F.2
  • 12
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the jackknife
    • Efron, B. (1979a), 'Bootstrap Methods: Another Look at the Jackknife', Annals of Statistics, 7, 1-26.
    • (1979) Annals of Statistics , vol.7 , pp. 1-26
    • Efron, B.1
  • 13
    • 0000801110 scopus 로고
    • Computers and the theory of statistics: Thinking the unthinkable
    • Efron, B. (1979b), 'Computers and the Theory of Statistics: Thinking the Unthinkable', SIAM Review, 21, 460-480.
    • (1979) SIAM Review , vol.21 , pp. 460-480
    • Efron, B.1
  • 17
    • 0000864855 scopus 로고
    • Data uncertainty and least squares regression
    • Hodges, S.D., and Moore, P.G. (1972), 'Data Uncertainty and Least Squares Regression', Applied Statistics, 21, 185-195.
    • (1972) Applied Statistics , vol.21 , pp. 185-195
    • Hodges, S.D.1    Moore, P.G.2
  • 20
    • 0022011031 scopus 로고
    • Input-output parametric models for non-linear systems (Part I: Deterministic Non-Linear Systems; Part II: Stochastic Non-Linear Systems)
    • Leontaritis, I.J., and Billings, S.A. (1985), 'Input-Output Parametric Models for Non-Linear Systems (Part I: Deterministic Non-Linear Systems; Part II: Stochastic Non-Linear Systems)', International Journal of Control, 41, 303-344.
    • (1985) International Journal of Control , vol.41 , pp. 303-344
    • Leontaritis, I.J.1    Billings, S.A.2
  • 21
    • 0028542789 scopus 로고
    • Total least squares for affinely structured matrices and the noisy realization problems
    • Moor, B.D. (1994), 'Total Least Squares for Affinely Structured Matrices and the Noisy Realization Problems', IEEE Transactions on Signal Processing, 42, 3104-3113.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , pp. 3104-3113
    • Moor, B.D.1
  • 24
    • 0742304416 scopus 로고    scopus 로고
    • Term and variable selection for nonlinear system identification
    • Wei, H.L., Billings, S.A., and Liu, J. (2004), 'Term and Variable Selection for NonLinear System Identification', International Journal of Control, 77, 86-110.
    • (2004) International Journal of Control , vol.77 , pp. 86-110
    • Wei, H.L.1    Billings, S.A.2    Liu, J.3
  • 25
    • 0030192825 scopus 로고    scopus 로고
    • Fast orthogonal identification of nonlinear stochastic models and radial basis function neural networks
    • Zhu, Q.M., and Billings, S.A. (1996), 'Fast Orthogonal Identification of Nonlinear Stochastic Models and Radial Basis Function Neural Networks', International Journal of Control, 64, 871-886.
    • (1996) International Journal of Control , vol.64 , pp. 871-886
    • Zhu, Q.M.1    Billings, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.