The Identification and Estimation of Nonlinear Stochastic Systems

作者: Peter Young

DOI: 10.1007/978-1-4612-0177-9_6

关键词:

摘要: This chapter describes what might be called the system theorist’s approach to understanding dynamics of nonlinear stochastic systems. The method uses so-called state-dependent parameters, and is able handle non-stationarity, as long parameters vary slowly compared significant dynamics. One main points made here that most realistic systems have time-varying inputs which can measured; models must take this into account, indeed modeling often becomes easier rather than harder when done. We describe methods used, based on recursive fixed-interval smoothing, present applications some problems.

参考文章(44)
Peter Young, The Validity and Credibility of Models for Badly Defined Systems Springer Berlin Heidelberg. pp. 69- 98 ,(1983) , 10.1007/978-3-642-82054-0_2
W. D. Ray, Peter Young, Recursive Estimation and Time Series Analysis Journal of the Royal Statistical Society: Series A (General). ,vol. 149, pp. 280- 280 ,(1984) , 10.2307/2981573
Peter C. Young, Concise encyclopedia of environmental systems Pergamon Press. ,(1993)
C. Heij, C. Praagman, B. Hanzon, H. Schumacher, System Dynamics in Economic and Financial Models Series in Financial Economics and Quantitative Analysis. ,(1997)
R. L. Brown, J. Durbin, J. M. Evans, Techniques for Testing the Constancy of Regression Relationships Over Time Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 37, pp. 149- 163 ,(1975) , 10.1111/J.2517-6161.1975.TB01532.X
F. Schweppe, Evaluation of likelihood functions for Gaussian signals IEEE Transactions on Information Theory. ,vol. 11, pp. 61- 70 ,(1965) , 10.1109/TIT.1965.1053737
P. C. Young, C. N. Ng, K. Lane, D. Parker, Recursive forecasting, smoothing and seasonal adjustment of non-stationary environmental data Journal of Forecasting. ,vol. 10, pp. 57- 89 ,(1991) , 10.1002/FOR.3980100105
Peter C. Young, Diego J. Pedregal, Macro-economic relativity: government spending, private investment and unemployment in the USA 1948–1998 Structural Change and Economic Dynamics. ,vol. 10, pp. 359- 380 ,(1999) , 10.1016/S0954-349X(99)00006-5