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The Effects of Small Sample Bias in Threshold Autoregressive Models

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  • Yamin Ahmad

    (Department of Economics, University of Wisconsin - Whitewater)

Abstract

This paper investigates the properties of a class of models which incorporate nonlinear dynamics, known as Threshold Autoregressive (TAR) models. Simulations show that within the context of the real exchange rate literature, a threshold model of exchange rates exhibits significant small sample bias even with long time series data. The results of this paper has severe implications for the properties of estimated coefficients within TAR models.

Suggested Citation

  • Yamin Ahmad, 2007. "The Effects of Small Sample Bias in Threshold Autoregressive Models," Working Papers 07-01, UW-Whitewater, Department of Economics, revised Jun 2007.
    • Handle: RePEc:uww:wpaper:07-01
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    File URL: http://www.uww.edu/documents/colleges/cobe/economics/wpapers/07_01_Ahmad.pdf
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    References listed on IDEAS

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    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    2. Kilian, Lutz & Taylor, Mark P., 2003. "Why is it so difficult to beat the random walk forecast of exchange rates?," Journal of International Economics, Elsevier, vol. 60(1), pages 85-107, May.
    3. Sarno,Lucio & Taylor,Mark P., 2003. "The Economics of Exchange Rates," Cambridge Books, Cambridge University Press, number 9780521485845, January.
    4. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
    5. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    6. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    7. Alan M. Taylor & Mark P. Taylor, 2004. "The Purchasing Power Parity Debate," Journal of Economic Perspectives, American Economic Association, vol. 18(4), pages 135-158, Fall.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Yamin Ahmad & Stuart Glosser, 2011. "Searching for nonlinearities in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 43(15), pages 1829-1845.
    2. Ahmad, Yamin & Lo, Ming Chien & Mykhaylova, Olena, 2013. "Causes of nonlinearities in low-order models of the real exchange rate," Journal of International Economics, Elsevier, vol. 91(1), pages 128-141.
    3. Ahmad, Yamin & Lo, Ming Chien & Mykhaylova, Olena, 2013. "Volatility and persistence of simulated DSGE real exchange rates," Economics Letters, Elsevier, vol. 119(1), pages 38-41.
    4. Ahmad Yamin & Donayre Luiggi, 2016. "Outliers and persistence in threshold autoregressive processes," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(1), pages 37-56, February.

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    More about this item

    Keywords

    Threshold Autoregressive Models; Nonlinear Models; Small Sample Bias; Real Exchange Rates; Simulation;
    All these keywords.

    JEL classification:

    • F47 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Forecasting and Simulation: Models and Applications
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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