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The performance of alternative forecasting methods for SETAR models

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Clements, Michael P. and Smith, Jeremy (Jeremy P.) (1996) The performance of alternative forecasting methods for SETAR models. Working Paper. Coventry: University of Warwick, Department of Economics. (Warwick economic research papers.

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Abstract

We compare a number of methods that have been proposed in the literature for obtaining h-step ahead minimum mean square error forecasts for SETAR models. These forecasts are compared to those from an AR model. The comparison of forecasting methods is made using Monte Carlo simulation. The Monte Carlo method of calculating SETAR forecasts is generally at least as good as that of the other methods we consider. An exception is when the disturbances in the SETAR model come from a highly asymmetric distribution, when a Bootstrap method is to be preferred. An empirical application calculates multi-period forecasts from a SETAR model of US GNP using a number of the forecasting methods. We find that whether there are improvements in forecast performance relative to a linear AR model depends on the historical epoch we select, and whether forecasts are evaluated conditional on the regime the process was in at the time the forecast was made.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH): Economic forecasting, Threshold logic, Simulation games, Monte Carlo method
Series Name: Warwick economic research papers
Publisher: University of Warwick, Department of Economics
Place of Publication: Coventry
Date: June 1996
Number: No.467
Number of Pages: 35
Status: Not Peer Reviewed
Access rights to Published version: Open Access
Funder: Economic and Social Research Council (Great Britain) (ESRC)
Grant number: L116251015 (ESRC)
References: Al-Qassam, M. S. and J. A. Lane, 1989, Forecasting exponential autoregressive models of order 1, Journal of Time Series Analysis, 10, 95-113. Andrews, D. W. K., 1993, Tests for parameter instability and structural change with unknown change point, Econometrica, 61, 821-856. Clements, M. P. and D. F. Hendry, 1996, Multi-step estimation for forecasting, Oxford Bulletin of Economics and Statistics, 58, 657-684. Clements, M. P. and J. Smith, 1996, A Monte Carlo study of the forecasting performance of empirical SETAR models, Warwick Economic Research Papers No.464, Department of Economics, University of Warwick. De Gooijer, J. G. and K. Kumar, 1992, Some recent developments in non-linear time series modelling, testing and forecasting, International Journal of Forecasting, 8, 135-156. De Gooijer, J. G. and P. De Bruin, 1997, On SETAR forecasting, Statistics and Probability Letters, forthcoming. Diebold, F. X. and J. A. Nason, 1990, Nonparametric exchange rate prediction, Journal of International Economics, 28, 315-332. Granger, C. W. J. and T. Ter.svirta, 1993, Modelling Nonlinear Economic Relationships, Oxford University Press, Oxford. Hansen, B. E., 1996, Inference when a nuisance parameter is not identified under the null hypothesis, Econometrica, 64, 413-430. Lai, T. L. and G. Zhu, 1991, Adaptive prediction in non-linear autoregressive models and control systems, Statistica Sinica, 1, 309-334. Potter, S., 1995, A nonlinear approach to U.S. GNP, Journal of Applied Econometrics, 10, 109-125. Tiao, G. C. and R. S. Tsay, 1994, Some advances in non-linear and adaptive modelling in time-series, Journal of Forecasting, 13, 109-131. Tong, H., 1978, On a threshold model, in C. H. Chen, ed, Pattern Recognition and Signal Processing (Sijhoff and Noordoff, Amsterdam),100-141. Tong, H., 1995, Non-Linear Time Series. A Dynamical System Approach, Clarendon Press, Oxford. Tong, H. and K. S. Lim, 1980, Threshold autoregression, limit cycles and cyclical data, Journal of the Royal Statistical Society, B 42, 245-292.
URI: http://wrap.warwick.ac.uk/id/eprint/1666

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