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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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    4. 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.
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    8. 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.
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    12. 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.
    13. Peter Martey Addo, 2014. "Multivariate Self-Exciting Threshold Autoregressive Models with eXogenous Input," Papers 1407.7738, arXiv.org.
    14. 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.
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    16. Holm, T. & Loy, J.-P. & Steinhagen, C., 2013. "Bio auch bei der Preissetzung: Konsummilch in Deutschland," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 48, March.
    17. Gulasekaran Rajaguru & Safdar Ullah Khan & Habib-Ur Rahman, 2021. "Analysis of Australia’s Fiscal Vulnerability to Crisis," JRFM, MDPI, vol. 14(7), pages 1-13, June.
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