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Forecasting in Situations of Structural Change: A General Approach

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Statistical Analysis and Forecasting of Economic Structural Change
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Summary

The problem of optimal forecast combination is considered in situations of structural change. We develop a rather general approach, which combines the time-varying-parameter models of Diebold and Pauly (1987a) with allowance for prediction-error serial correlation as in Diebold (1988). The methodology is based on the regression-based paradigm of Granger and Ramanathan (1984), so that many earlier results emerge as special (and often restrictive) cases. Both deterministic and stochastic parameter variations are considered, with and without allowance for serial correlation. The results are illustrated in a series of examples.

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References

  • Ansley, C. (1979), An algorithm for the exact likelihood of a mixed autoregressive-moving average process. Biometrika, 66, 59–65.

    Article  Google Scholar 

  • Bates, J.M. and Granger, C.W.J. (1969), The Combination of Forecasts. Operations Research Quarterly, 20, 451–468.

    Article  Google Scholar 

  • Bessler, D.A. and Brandt, J.A. (1981), Forecasting livestock prices with individual and composite methods. Applied Economics, 13, 513–522.

    Article  Google Scholar 

  • Bordley, R.F. (1982), The combination of forecasts: A Bayesian approach. Journal of the Operations Research Society, 33, 171–174.

    Google Scholar 

  • Bordley, R.F. (1986), Linear combination of forecasts with an intercept: A Bayesian approach. Journal of Forecasting, 5, 243–249.

    Article  Google Scholar 

  • Breusch, T.S. and Pagan, A.R. (1979), A simple test for heteroskedasticity and random coefficient variation. Econometrica, 47, 1287–1294.

    Article  Google Scholar 

  • Breusch, T.S. and Pagan, A.R. (1980), The Lagrange multiplier test and its applications to model specification in econometrics. Review of Economic Studies, 47, 239–253.

    Article  Google Scholar 

  • Bunn, D.W. (1975), A Bayesian approach to the linear combination of forecasts. Opera-tions Research Quarterly, 26, 325–329.

    Article  Google Scholar 

  • Clemen, R.T. (1986), Linear constraints and the efficiency of combined forecasts. Journal of Forecasting, 5, 31–38.

    Article  Google Scholar 

  • Clemen, R.T. and Winkler, R.L. (1986), Combining economic forecasts. Journal of Business and Economic Statistics, 4, 39–46.

    Google Scholar 

  • Crockett, P.W. (1985), Asymptotic distribution of the Hildreth-Houck estimator. Journal of the American Statistical Association, 80, 202–204.

    Google Scholar 

  • Diebold, F.X. (1988), Serial correlation and the combination of forecasts. Journal of Business and Economic Statistics, 6, 105–112.

    Google Scholar 

  • Diebold, F.X. and Pauly, P. (1986), The combination of forecasts. Prévision et Analyse Economique, 7, 7–31.

    Google Scholar 

  • Diebold, F.X. and Pauly, P. (1987a), Structural change and the combination of forecasts. Journal of Forecasting, 6, 21–40.

    Article  Google Scholar 

  • Diebold, F.X. and Pauly, P. (1987b), The Use of Prior Information in Forecast Combination, Special Studies Paper 218, Washington, DC: Board of Governors of the Federal Reserve System.

    Google Scholar 

  • Engle, R.F. (1982a), Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation. Econometrica, 50, 987–1008.

    Article  Google Scholar 

  • Engle, R.F. (1982b), A general approach to Lagrange multiplier model diagnostics. Journal of Econometrics, 20, 83–104.

    Article  Google Scholar 

  • Engle, R.F. (1985), Wald, likelihood ratio, and Lagrange multiplier tests in econometrics, in: Z. Griliches and M.D. Intriligator (eds.), Handbook of Econometrics, Vol. 2. Amsterdam: North-Holland.

    Google Scholar 

  • Engle, R.F., Granger, C.W.J., and Kraft, D.F. (1984), Combining competing forecasts of inflation using a bivariate ARCH model. Journal of Economic Dynamics and Control, 8, 151–165.

    Article  Google Scholar 

  • Godfrey, L.G. (1978), Testing against general autoregressive and moving average error models when the regressors include lagged dependent variables. Econometrica, 46, 1293–1302.

    Article  Google Scholar 

  • Granger, C.W.J. and Morris, M.J. (1976), Time series modeling and interpretation. Jour-nal of the Royal Statistical Society, A-139, 246–257.

    Google Scholar 

  • Granger, C.W.J. and Newbold, P. (1974), Experience with forecasting univariate time series and the combination of forecasts. Journal of the Royal Statistical Society Series, A-137, 131–164.

    Google Scholar 

  • Granger, C.W.J. and Newbold, P. (1977), Forecasting Economic Time Series. New York: Academic Press.

    Google Scholar 

  • Granger, C.W.J. and Ramanathan, R. (1984), Improved methods of combining forecasts. Journal of Forecasting, 3, 197–204.

    Article  Google Scholar 

  • Greene, M.N., Howrey, E.P., and Hymans, S.H. (1985), The use of outside information in econometric forecasting, in E. Kuh and D.A. Belsley (eds.), Model Reliability. Cambridge, MA: MIT Press.

    Google Scholar 

  • Harvey, A.C. and Phillips, G.D.A. (1979), Maximum likelihood estimation of regression models with autoregressive-moving average disturbances. Biometrika, 66, 49–58.

    Google Scholar 

  • Hildreth, C. and Houck, J.P. (1968), Some estimators for a linear model with random coefficients. Journal of the American Statistical Association, 63, 584–595.

    Article  Google Scholar 

  • Kang, H. (1986), Unstable weights in the combination of forecasts. Management Science, 32, 683–695.

    Article  Google Scholar 

  • Koenker, R. (1981), A note on studentizing a test for heteroskedasticity. Journal of Econometrics, 17, 107–112.

    Article  Google Scholar 

  • Makridakis, S. et al.,(1984), The Forecasting Accuracy of Major Time Series Methods. New York: John Wiley.

    Google Scholar 

  • Pagan, A.R. and Hall, A.D. (1983), Diagnostic tests as residual analysis. Econometric Review, 2 (2), 159–218.

    Article  Google Scholar 

  • Reid, D.J. (1969), A comparative study of time-series prediction techniques on economic data. Ph.D. thesis, Department of Mathematics, University of Nottingham, UK.

    Google Scholar 

  • Singh, B., Nagar, A.L., Choudhry, N.K., and Raj, B. (1976), On the estimation of structural change: a generalization of the random coefficients regression model. International Economic Review, 17, 340–361.

    Article  Google Scholar 

  • Trenkler, G. and Liski, E.P. (1986), Linear constraints and the efficiency of combined forecasts: A note. Journal of Forecasting, 5, 197–202.

    Article  Google Scholar 

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© 1989 Springer-Verlag Berlin Heidelberg

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Diebold, F.X., Pauly, P. (1989). Forecasting in Situations of Structural Change: A General Approach. In: Hackl, P. (eds) Statistical Analysis and Forecasting of Economic Structural Change. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02571-0_19

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  • DOI: https://doi.org/10.1007/978-3-662-02571-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02573-4

  • Online ISBN: 978-3-662-02571-0

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