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Recursive Estimation and Testing of Dynamic Models

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Abstract

Recursive estimates can be useful for diagnostic purposes, but algorithms for estimating dynamic models recursively with autocorrelated perturbations can be computationally complicated. Thus, we propose a Conditional Recursive Least Squares algorithm (CRLS): given initial full-sample consistent estimates obtained from a correctly specified model, the model is linearized to obtain recursive consistent estimators along the full sample. These may in turn be used to compute statistics to test for structural breaks with unknown break dates. This procedure is illustrated with the Gas-Furnace data.

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References

  • Amemiya, T. (1985). Advanced Econometrics. Basil Backwell.

  • Aström, K.J. and Bohlin, T. (1965). Numerical identification of linear dynamic systems from normal operating records. IFAC Symposium on Self-adaptive Systems, Teddington, England. Also in P.H. Hammond (ed.), Theory of Selfadaptive Systems. Plenum, New York.

    Google Scholar 

  • Banerjee, A., Lumsdaine, R.L. and Stock, J.H. (1992). Recursive sequential tests of the unit-root and trend-break hypotheses: Theory and international evidence. Journal of Business and Economic Statistics, 10 (3), 271-287.

    Google Scholar 

  • Box, G.E.P. and Jenkins, G.M. (1970). Time Series Analysis Forecasting and Control. Holden Day, San Francisco.

    Google Scholar 

  • Dufour, J.M. (1982). Recursive stability analysis of linear regression relationships: An exploratory methodology. Journal of Econometrics, 19, 31-76.

    Google Scholar 

  • Hamilton, J.D. (1994). Time Series Analysis. Princeton University Press.

  • Hannan, E.J., Kavalieris, L. and Mackisack, X. (1986). Recursive estimation of linear systems. Biometrika, 73, 119-133.

    Google Scholar 

  • Hoyo, J. Del and Llorente, J.G. (1997). Contrastes de Cambio Estructural. Mimeo. UAM.

  • Kalaba, R. and Tesfatsion, L. (1989). Time varying linear regression via flexible least squares. Computers and Mathematics with Applications, 17, 1215-1245.

    Google Scholar 

  • Ljung, L. and Söderström, T. (1983). Theory and Practice of Recursive Identification. MIT Press.

  • Plackett, R.L. (1950). Some theorems in least squares. Biometrika, 37, 149-157.

    Google Scholar 

  • Ploberger, W., Kramer, W. and Kontrus, K. (1989). A new test for structural stability in linear regression model. Journal of Econometrics, 40, 307-318.

    Google Scholar 

  • Sorenson, H.W. (1988). Recursive estimation of nonlinear dynamic systems. In J.C. Spall (ed.), Bayesian Analysis of Time Series and Dynamic Models. Marcel Dekker.

  • Söderström, T. (1973). An on-line algorithm for approximate maximum likelihood identification of linear dynamic systems. Report 7308. Dept. of Automatic Control, Lund Institute of Technology, Lund, Sweden.

    Google Scholar 

  • Söderström, T. and Stoica, P. (1989). System Identification. Prentice Hall.

  • Stock, J.H. (1994). Unit roots, structural breaks and trends. In Handbook of Econometrics, Vol. IV. Elsevier.

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

    Google Scholar 

  • Young, P. (1985). Recursive identification, estimation and control. In Handbook of Statistics, Vol 5, Elsevier, pp. 213-225.

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Del Hoyo, J., Llorente, J.G. Recursive Estimation and Testing of Dynamic Models. Computational Economics 16, 71–85 (2000). https://doi.org/10.1023/A:1008753503846

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  • DOI: https://doi.org/10.1023/A:1008753503846

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