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A sequential procedure for determining the number of regimes in a threshold autoregressive model

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  • Birgit Strikholm
  • Timo Teräsvirta

Abstract

In this paper, we propose a sequential method for determining the number of regimes in threshold autoregressive models. The proposed method relies on the superconsistency of sequential threshold estimates and uses general linearity tests to determine the number of thresholds. A simulation study is performed in order to find out the finite-sample properties of our procedure and to compare it with two other procedures available in the literature. We find that our method works reasonably well for both single and multiple threshold models. Copyright Royal Economic Society 2006

Suggested Citation

  • Birgit Strikholm & Timo Teräsvirta, 2006. "A sequential procedure for determining the number of regimes in a threshold autoregressive model," Econometrics Journal, Royal Economic Society, vol. 9(3), pages 472-491, November.
  • Handle: RePEc:ect:emjrnl:v:9:y:2006:i:3:p:472-491
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    References listed on IDEAS

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    1. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    2. González, Andrés & Teräsvirta, Timo & van Dijk, Dick & Yang, Yukai, 2005. "Panel Smooth Transition Regression Models," SSE/EFI Working Paper Series in Economics and Finance 604, Stockholm School of Economics, revised 11 Oct 2017.
    3. Hansen, Bruce E., 1999. "Threshold effects in non-dynamic panels: Estimation, testing, and inference," Journal of Econometrics, Elsevier, vol. 93(2), pages 345-368, December.
    4. Hansen, Bruce E, 1999. " Testing for Linearity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(5), pages 551-576, December.
    5. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    6. Russell Davidson & James MacKinnon, 2000. "Bootstrap tests: how many bootstraps?," Econometric Reviews, Taylor & Francis Journals, vol. 19(1), pages 55-68.
    7. Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, vol. 6(01), pages 17-43, March.
    8. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
    9. Bai, Jushan, 1997. "Estimating Multiple Breaks One at a Time," Econometric Theory, Cambridge University Press, vol. 13(03), pages 315-352, June.
    10. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    11. Strikholm, Birgit & Teräsvirta, Timo, 2005. "Determining the Number of Regimes in a Threshold Autoregressive Model Using Smooth Transition Autoregressions," SSE/EFI Working Paper Series in Economics and Finance 578, Stockholm School of Economics, revised 11 Feb 2005.
    12. George Kapetanios, 2003. "Threshold models for trended time series," Empirical Economics, Springer, vol. 28(4), pages 687-707, November.
    13. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, vol. 110(2), pages 319-352, October.
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    Cited by:

    1. Galvão, Ana Beatriz, 2013. "Changes in predictive ability with mixed frequency data," International Journal of Forecasting, Elsevier, vol. 29(3), pages 395-410.
    2. Timo Teräsvirta & Yukai Yang, 2014. "Linearity and Misspecification Tests for Vector Smooth Transition Regression Models," CREATES Research Papers 2014-04, Department of Economics and Business Economics, Aarhus University.
    3. Alexander Bick & Dieter Nautz, 2008. "Inflation Thresholds and Relative Price Variability: Evidence from U.S. Cities," International Journal of Central Banking, International Journal of Central Banking, vol. 4(3), pages 61-76, September.
    4. Peter Martey Addo, 2014. "Multivariate Self-Exciting Threshold Autoregressive Models with eXogenous Input," Papers 1407.7738, arXiv.org.
    5. Eric Hillebrand & Marcelo C. Medeiros, 2016. "Nonlinearity, Breaks, and Long-Range Dependence in Time-Series Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 34(1), pages 23-41, January.
    6. Ellen Hamaker & Zhiyong Zhang & Han Maas, 2009. "Using Threshold Autoregressive Models to Study Dyadic Interactions," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 727-745, December.
    7. Kirstin Hubrich & Timo Teräsvirta, 2013. "Thresholds and Smooth Transitions in Vector Autoregressive Models," CREATES Research Papers 2013-18, Department of Economics and Business Economics, Aarhus University.
    8. Holm, Thore & Loy, Jens-Peter & Steinhagen, Carsten, 2012. "Bio Auch Bei Der Preissetzung: Konsummilch In Deutschland," 52nd Annual Conference, Stuttgart, Germany, September 26-28, 2012 137159, German Association of Agricultural Economists (GEWISOLA).
    9. Loy, Jens-Peter & Weiss, Christoph R. & Glauben, Thomas, 2016. "Asymmetric cost pass-through? Empirical evidence on the role of market power, search and menu costs," Journal of Economic Behavior & Organization, Elsevier, vol. 123(C), pages 184-192.
    10. repec:eee:ecmode:v:70:y:2018:i:c:p:310-319 is not listed on IDEAS
    11. repec:ags:gewipr:260881 is not listed on IDEAS
    12. Loy, Jens-Peter & Holm, Thore & Steinhagen, Carsten, 2012. "Vertical Price Transmission In Differentiated Product Markets: A Disaggregated Study For Milk And Butter," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 123284, Agricultural and Applied Economics Association.
    13. Loy, Jens-Peter & Holm, Thore & Steinhagen, Carsten & Glauben, Thomas, 2014. "Cost Pass-Through In Differentiated Product Markets: A Disaggregated Study For Milk And Butter," 88th Annual Conference, April 9-11, 2014, AgroParisTech, Paris, France 169762, Agricultural Economics Society.
    14. Wei-han Liu & Zhefang Zhou, 2009. "Inflation-hedging Behavior of a Securitized Real Estate Market," International Real Estate Review, Asian Real Estate Society, vol. 12(3), pages 221-251.

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