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On the Estimation of Time-varying Parameters in Transfer Function Models

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Economic Structural Change

Summary

Transfer function models are here used to identify empirically economic dynamic systems. An iterative recursive instrumental variables estimator for transfer function estimation, originally suggested by Young [see, e.g., Young (1984)], is here applied in estimating structurally varying transfer function models describing leading indicator relations for business-cycle forecasting. A series of numerical examples clearly indicate the good capability of the estimator to discover parameter changes. At least for single-input models the estimator converges well enough toward the correct and time-varying parameter values within a few iterations, as soon as the signal-to-noise ratio is not too small.

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References

  • Äthans, M. (1974), The importance of Kaiman filtering methods for economic systems. Annals of Economic and Social Measurement, 3, 49–64.

    Google Scholar 

  • Hackl, P. and Westlund, A.H. (1989), Statistical analysis of “Structural Change”: An annotated bibliography. Empirical Economics, 14, 167–192.

    Article  Google Scholar 

  • Hendry, D.F., Pagan, A.R., and Sargan, J.D. (1984), Dynamic specification, chapter 18 in Z. Griliches and M.D. Intriligator (eds.), Handbook of Econometrics. Amsterdam: North-Holland.

    Google Scholar 

  • Jakeman, A.J., Steele, L.P., and Young, P.C. (1980), Instrumental variable algorithms foi-multiple input systems described by multiple transfer functions. IEEE Transactions on Systems, Man, and Cybernetics, 10, 593–602.

    Article  Google Scholar 

  • Kaiman, R.E. (1960), A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82, 34–45.

    Google Scholar 

  • Koch, P.D. and Rasche, R.H. (1988), An examination of the commerce department leading-indicator approach, Journal of Business and Economic Statistics, 6, 167–187.

    Google Scholar 

  • Laidler, D.E.W. (1975), Essays on Money and Inflation. Chicago: Univ. of Chicago Press.

    Google Scholar 

  • Ledolter, J. (1981), Recursive estimation and adaptive forecasting in ARIMA models with time-varying coefficients, pp. 449–471 in D.F. Findley (ed.), Applied Time Series Analysis. New York: Academic Press.

    Google Scholar 

  • Shumway, R.W. (1988), Applied Statistical Time Series Analysis. Englewood Cliffs: Prentice-Hall.

    Google Scholar 

  • Young, P.C., Jakeman, A.J. and McMurtrie, R. (1984), An instrumental variable method for model order identification. Automática, 16, 281–299.

    Article  Google Scholar 

  • Young, P.C. (1984), Recursive Estimation and Time Series Analysis. Berlin: Springer-Verlag.

    Book  Google Scholar 

  • Zarnowitz, V. (1985), Recent work on business cycles in historical perspective: A review of theories and evidence. Journal of Economic Literature, 23, 523–580.

    Google Scholar 

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© 1991 Springer-Verlag Berlin Heidelberg

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Claesson, L., Westlund, A.H. (1991). On the Estimation of Time-varying Parameters in Transfer Function Models. In: Hackl, P., Westlund, A.H. (eds) Economic Structural Change. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06824-3_19

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  • DOI: https://doi.org/10.1007/978-3-662-06824-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-06826-7

  • Online ISBN: 978-3-662-06824-3

  • eBook Packages: Springer Book Archive

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