IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v101y2008i1p6-8.html
   My bibliography  Save this article

The effects of small sample bias in Threshold Autoregressive models

Author

Listed:
  • Ahmad, Yamin S.

Abstract

This paper investigates Threshold Autoregressive (TAR) models that contain a limited number of observations in some regimes. Simulations show that within the context of the real exchange rate literature, parameter estimates exhibit significant small sample bias even with long time series data. These distortions create substantial power losses in attempting to identify values of coefficients from data.

Suggested Citation

  • Ahmad, Yamin S., 2008. "The effects of small sample bias in Threshold Autoregressive models," Economics Letters, Elsevier, vol. 101(1), pages 6-8, October.
  • Handle: RePEc:eee:ecolet:v:101:y:2008:i:1:p:6-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(08)00104-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    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

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Juvenal Luciana & Taylor Mark P., 2008. "Threshold Adjustment of Deviations from the Law of One Price," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-46, September.
    2. 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.
    3. Gawon Yoon, 2010. "On the performance of a nonparametric measure of convergence towards purchasing power parity in the presence of linearity," Applied Economics Letters, Taylor & Francis Journals, vol. 17(14), pages 1389-1396.
    4. Giannellis, Nikolaos & Papadopoulos, Athanasios P., 2009. "Testing for efficiency in selected developing foreign exchange markets: An equilibrium-based approach," Economic Modelling, Elsevier, vol. 26(1), pages 155-166, January.
    5. Gawon Yoon, 2010. "Nonlinear mean reversion in real exchange rates: threshold autoregressive models and stochastic unit root processes," Applied Economics Letters, Taylor & Francis Journals, vol. 17(8), pages 797-804.
    6. Gawon Yoon, 2010. "Nonlinear mean-reversion to purchasing power parity: exponential smooth transition autoregressive models and stochastic unit root processes," Applied Economics, Taylor & Francis Journals, vol. 42(4), pages 489-496.
    7. Daiki Maki, 2006. "Variance ratio tests for a unit root in the presence of a mean shift: small sample properties and an application to purchasing power parity," Applied Financial Economics, Taylor & Francis Journals, vol. 16(8), pages 607-615.
    8. Chang, Tsangyao & Lee, Chia-Hao & Chou, Pei-I & Tang, Dai-Piao, 2011. "Revisiting long-run purchasing power parity with asymmetric adjustment for G-7 countries," Japan and the World Economy, Elsevier, vol. 23(4), pages 259-264.
    9. 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.
    10. Yoon, Gawon, 2010. "Do real exchange rates really follow threshold autoregressive or exponential smooth transition autoregressive models?," Economic Modelling, Elsevier, vol. 27(2), pages 605-612, March.
    11. Clements, Kenneth & Lan, Yihui & Roberts, John, 2008. "Exchange-rate economics for the resources sector," Resources Policy, Elsevier, vol. 33(2), pages 102-117, June.
    12. Curran, Michael & Velic, Adnan, 2019. "Real exchange rate persistence and country characteristics: A global analysis," Journal of International Money and Finance, Elsevier, vol. 97(C), pages 35-56.
    13. Yamin Ahmad & Stuart Glosser, 2011. "Searching for nonlinearities in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 43(15), pages 1829-1845.
    14. Efthymios Pavlidis & Nicos Pavlidis, 2012. "Dynamic Estimation of Trade Costs from Real Exchange Rates," Working Papers 21883757, Lancaster University Management School, Economics Department.
    15. Chang, Tsangyao & Tzeng, Han-Wen, 2011. "Long-run purchasing power parity with asymmetric adjustment: Further evidence from nine transition countries," Economic Modelling, Elsevier, vol. 28(3), pages 1383-1391, May.
    16. Michael Frömmel & Darko B. Vukovic & Jinyuan Wu, 2022. "The Dollar Exchange Rate, Adjustment to the Purchasing Power Parity, and the Interest Rate Differential," Mathematics, MDPI, vol. 10(23), pages 1-17, November.
    17. Hai Long Vo & Duc Hong Vo, 2023. "The purchasing power parity and exchange‐rate economics half a century on," Journal of Economic Surveys, Wiley Blackwell, vol. 37(2), pages 446-479, April.
    18. Bec, Frédérique & Zeng, Songlin, 2013. "Are Southeast Asian real exchange rates mean reverting?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 23(C), pages 265-282.
    19. 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.
    20. Wu, Jyh-Lin & Hu, Yu-Hau, 2009. "New evidence on nominal exchange rate predictability," Journal of International Money and Finance, Elsevier, vol. 28(6), pages 1045-1063, October.

    More about this item

    Keywords

    Threshold Autoregressive models Nonlinear models Small sample bias Real exchange rates Simulation;

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:101:y:2008:i:1:p:6-8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.