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Forecasting with Difference-Stationary and Trend-Stationary Models

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Author Info
David Hendry
Michael P. Clements

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Abstract

Although difference-stationary (DS) and trend-stationary (TS) processes have been subject to considerable analysis, there are no direct comparisons for each being the data-generation process (DGP). We examine incorrect choice between these models for forecasting for both known and estimated parameters. Three sets of Monte Carlo simulations illustrate the analysis, to evaluate the biases in conventional standard errors when each model is mis-specified, compute the relative mean-square forecast errors of the two models for both DGPs, and investigate autocorrelated errors, so both models can better approximate the converse GDP. The outcomes are surprisingly different from established results.

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Publisher Info
Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 005.

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Date of creation: 2000
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Handle: RePEc:oxf:wpaper:005

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Related research
Keywords: difference stationary trend stationary forecastability

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications

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  1. Neil R. Ericsson, 2001. "Forecast uncertainty in economic modeling," International Finance Discussion Papers 697, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  2. Neil R. Ericsson, 2000. "Predictable uncertainty in economic forecasting," International Finance Discussion Papers 695, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. Guillaume Chevillon, 2004. ""Weak" trends for inference and forecasting in finite samples," Documents de Travail de l'OFCE 2004-12, Observatoire Francais des Conjonctures Economiques (OFCE). [Downloadable!]
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  4. Yin-Wong Cheung & Menzie Chinn & Antonio Garcia Pascual, 2003. "Empirical Exchange Rate Models of the Nineties: Are Any Fit to Survive?," Santa Cruz Department of Economics, Working Paper Series 1033, Department of Economics, UC Santa Cruz. [Downloadable!]
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  5. David I. Harvey & Terence C. Mills, 2002. "Unit roots and double smooth transitions," Journal of Applied Statistics, Taylor and Francis Journals, vol. 29(5), pages 675-683, July. [Downloadable!] (restricted)
  6. Peter C.B. Phillips, 2003. "Laws and Limits of Econometrics," Cowles Foundation Discussion Papers 1397, Cowles Foundation, Yale University. [Downloadable!]
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  7. David T. Griffiths, 2004. "The big problem of forecasting small change," Applied Economics, Taylor and Francis Journals, vol. 36(19), pages 2195-2207, September. [Downloadable!] (restricted)
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