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17 - Bayesian and non-Bayesian methods for combining models and forecasts with applications to forecasting international growth rates (1993)

Published online by Cambridge University Press:  24 October 2009

Chung-Ki Min
Affiliation:
Department of Economics, Hankuk University of Foreign Studies, Seoul
Arnold Zellner
Affiliation:
Professor, Emeritus of Economics and Statistics, Graduate School of Business, University of Chicago, Chicago, IL
Arnold Zellner
Affiliation:
University of Chicago
Franz C. Palm
Affiliation:
Universiteit Maastricht, Netherlands
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Summary

Introduction

In past work, Garcia-Ferrer et al. (1987) and Zellner and Hong (1989), variants of a relatively simple autoregressive model of order three containing lagged leading indicator variables, called an ARLI model, provided good one-year-ahead forecasts of annual output growth rates for eighteen industrial countries, 1974–84. In Zellner, Hong, and Gulati (1990) and Zellner, Hong, and Min (1991), this ARLI model and variants of it produced good turning point forecasts, about 70–80 percent of 158 turning points correctly forecasted. In Hong (1989), the ARLI model's cyclical properties were analyzed and its forecasting performance was shown to be slightly superior to that of a version of Barro's “money surprise” model. LeSage (1989) and LeSage and Magura (1990) have used ARLI models to forecast employment growth rates and turning points in them for eight metropolitan labor markets with satisfactory results. Blattberg and George (1991) used similar techniques in successfully forecasting sales of different brands of a product.

Some of our past work has involved use of fixed parameter models (FPMs) and time-varying parameter models (TVPMs). In the present chapter, we derive and compute posterior odds relating to our FPMs and TVPMs using data for eighteen countries, 1973–87. While there are many reasons – Lucas effects, aggregation effects, wars, etc. – for believing that parameters may be time-varying, economic theorists' models are generally fixed parameter models. Our calculated posterior odds will shed some light on the parameter constancy issue and are used to choose between FPMs' and TVPMs' forecasts year by year.

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Publisher: Cambridge University Press
Print publication year: 2004

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References

Bates, J. M. and Granger, C. W. J. (1969), “The combination of forecasts,” Operations Research Quarterly 20, 451–68CrossRefGoogle Scholar
Blattberg, R. C. and George, E. I. (1991), “Shrinkage estimation of price and promotional elasticities: seemingly unrelated equations”, Journal of the American Statistical Association 86, 304–15CrossRefGoogle Scholar
Clemen, R. T. (1989), “Combining forecasts: a review and annotated bibliography,” International Journal of Forecasting 5, 559–83CrossRefGoogle Scholar
Diebold, F. X. (1990a), “Forecast combination and encompassing: reconciliation of two divergent literatures,” International Journal of Forecasting 5, 589–92CrossRefGoogle Scholar
Diebold, F. X. (1990b), “A note on Bayesian forecast combination procedures,” in A. Westlund and P. Haski (eds.), Economic Structural Change: Analysis and Forecasting (New York, Springer-Verlag), 1–8
Diebold, F. X. and Pauly, P. (1987), “Structural change and the combination of forecasts,” Journal of Forecasting 6, 21–40CrossRefGoogle Scholar
Garcia-Ferrer, A., Highfield, R. A., Palm, F. C., and Zellner, A. (1987), “Macroeconomic forecasting using pooled international data,” Journal of Business and Economic Statistics 5, 53–67; chapter 13 in this volumeGoogle Scholar
Geisel, M. S. (1975), “Bayesian comparisons of simple macroeconomic models,” in S. E. Fienberg and A. Zellner (eds.), Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savage (Amsterdam, North-Holland), 227–56
Granger, C. W. J. and Ramanathan, R. (1984), “Improved methods of combining forecasts,” Journal of Forecasting 3, 197–204CrossRefGoogle Scholar
Hong, C. (1989), “Forecasting real output growth rates and cyclical properties of models: a Bayesian approach,” PhD dissertation, University of Chicago
Jeffreys, H. (1967), Theory of Probability (London, Oxford University Press)
Leamer, E. E. (1978), Specification Searches (New York, John Wiley)
LeSage, J. P. (1989), “Forecasting turning points in metropolitan employment growth rates using Bayesian exponentially weighted autoregression, time-varying parameter and pooling techniques”; published as “Forecasting turning points in metropolitan employment growth rates using Bayesian techniques,” Journal of Regional Science 30(4) (1990), 533–48, chapter 21 in this volumeCrossRefGoogle Scholar
LeSage, J. P. and Magura, M. (1990), “Using Bayesian techniques for data pooling in regional payroll forecasting,” Journal of Business and Economic Statistics 8 (1), 127–36; chapter 20 in this volumeGoogle Scholar
Lindley, D. and Smith, A. F. M. (1972), “Bayes estimates for the linear model,” Journal of the Royal Statistical Society B 34, 1–41Google Scholar
Min, C. (1990), “Forecasting models with time-varying parameter, pooling and Bayesian model-combining approaches: economic theory and application,” Thesis proposal paper, University of Chicago
Nelson, C. R. (1972), “The predictive performance of the FRB–MIT–Penn model of the US economy,” American Economic Review 62, 902–17Google Scholar
Palm, F. C. and A. Zellner (1990), “To combine or not to combine forecasts?,” H. G. B. Alexander Research Foundation, University of Chicago
Reid, D. J. (1968), “Combining three estimates of gross domestic product,” Economica 35, 431–44CrossRefGoogle Scholar
Reid, D. J. 1969, “A comparative study of time series prediction techniques on economic data,” PhD dissertation, University of Nottingham
Rossi, P. E. (1983), “Specification and analysis of econometric production models,” PhD dissertation, University of Chicago
Rossi, P. E. (1985), “Comparison of alternative functional forms in production,” Journal of Econometrics 30, 345–61CrossRefGoogle Scholar
Schwarz, G. (1978), “Estimating the dimension of a model,” Annals of Statistics 6, 441–64CrossRefGoogle Scholar
Swamy, P. A. V. B. (1971), Statistical Inference in Random Coefficient Models (Berlin, Springer-Verlag)
Winkler, R. L. (1981), “Combining probability distributions from dependent information sources,” Management Science 27, 479–88CrossRefGoogle Scholar
Zellner, A. (1971), An Introduction to Bayesian Inference in Econometrics (New York, John Wiley)
Zellner, A. (1984), Basic issues in Econometrics (Chicago, University of Chicago Press)
Zellner, A. (1989), “Bayesian and non-Bayesian methods for combining models and forecasts,” H. G. B. Alexander Research Foundation, University of Chicago, manuscript
Zellner, A. and Hong, C. (1989), “Forecasting international growth rates using Bayesian shrinkage and other procedures,” Journal of Econometrics (Annals) 40, 183–202; chapter 14 in this volumeCrossRefGoogle Scholar
Zellner, A. and L. A. Manas-Anton (1986), “Macroeconomic theory and international macroeconomic forecasting,” H. G. B. Alexander Research Foundation, University of Chicago, manuscript
Zellner, A., C. Hong, and G. M. Gulati (1990), “Turning points in economic time series, loss structures, and Bayesian forecasting,” in S. Geisser, J. S. Hodges, S. J. Press, and A. Zellner (eds.), Bayesian and Likelihood Methods in Statistics and Econometrics: Essays in Honor of George A. Barnard (Amsterdam, North-Holland), 371–89; chapter 15 in this volume
Zellner, A., Hong, C., and Min, C. (1991), “Forecasting turning points in international output growth rates using Bayesian exponentially weighted autoregression, time-varying parameter, and pooling techniques,” Journal of Econometrics 49, 275–304; chapter 16 in this volumeCrossRefGoogle Scholar
Zellner, A., Huang, D. S., and Chau, L. C. (1965), “Further analysis of the short-run consumption function with emphasis on the role of liquid assets,” Econometrica 33, 571–81CrossRefGoogle Scholar

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