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Estimating and Testing Threshold Regression Models with Multiple Threshold Variables

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  • Chong, Terence Tai Leung
  • Yan, Isabel K.

Abstract

Conventional threshold models contain only one threshold variable. This paper provides the theoretical foundation for threshold models with multiple threshold variables. The new model is very different from a model with a single threshold variable as several novel problems arisefrom having an additional threshold variable. First, the model is not analogous to a change-point model. Second, the asymptotic joint distribution of the threshold estimators is difficult to obtain. Third, the estimation time increases exponentially with the number of threshold variables. This paper derives the consistency and the asymptotic joint distribution of the threshold estimators. A fast estimation algorithm to estimate the threshold values is proposed. We also develop tests for the number of threshold variables. The theoretical results are supported by simulation experiments. Our model is applied to the study of currency crises.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 54732.

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Date of creation: 24 Mar 2014
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Handle: RePEc:pra:mprapa:54732

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Keywords: Threshold Model; Multiple Threshold Variables; Currency Crisis; Panel Data;

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  1. Roley, V Vance & Wheatley, Simon M, 1996. "Shifts in the Interest-Rate Response to Money Announcements: What Can We Say about When They Occur?," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 14(1), pages 135-38, January.
  2. Vikas Kakkar & Isabel Yan, 2012. "Real Exchange Rates and Productivity: Evidence from Asia," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 44, pages 301-322, 03.
  3. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 11(3), pages 311-25, August.
  4. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 10(4), pages 365-84, Oct.-Dec..
  5. Mishkin, F.S., 1988. "What Does The Term Structure Tell Us About Future Inflation?," Papers, Columbia - Graduate School of Business fb-_88-29, Columbia - Graduate School of Business.
  6. Kumhof, Michael & Li, Shujing & Yan, Isabel, 2007. "Balance of payments crises under inflation targeting," Journal of International Economics, Elsevier, Elsevier, vol. 72(1), pages 242-264, May.
  7. Garcia, R. & Perron, P., 1990. "An Anlysis Of The Real Interest Rate Under Regime Shifts," Papers, Princeton, Department of Economics - Econometric Research Program 353, Princeton, Department of Economics - Econometric Research Program.
  8. N. Gregory Mankiw & David Romer & David N. Weil, 1990. "A Contribution to the Empirics of Economic Growth," NBER Working Papers, National Bureau of Economic Research, Inc 3541, National Bureau of Economic Research, Inc.
  9. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 10(3), pages 237-50, July.
  10. Quintos, Carmela & Fan, Zhenhong & Phillips, Peter C B, 2001. "Structural Change Tests in Tail Behaviour and the Asian Crisis," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 68(3), pages 633-63, July.
  11. Jushan Bai, 1995. "Estimating Multiple Breaks One at a Time," Working papers, Massachusetts Institute of Technology (MIT), Department of Economics 95-18, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Perron, P. & Bai, J., 1995. "Estimating and Testing Linear Models with Multiple Structural Changes," Cahiers de recherche, Universite de Montreal, Departement de sciences economiques 9552, Universite de Montreal, Departement de sciences economiques.
  13. Graciela L. Kaminsky, 1998. "Currency and banking crises: the early warnings of distress," International Finance Discussion Papers, Board of Governors of the Federal Reserve System (U.S.) 629, Board of Governors of the Federal Reserve System (U.S.).
  14. Chen, Haiqiang & Chong, Terence Tai Leung & Bai, Jushan, 2012. "Theory and Applications of TAR Model with Two Threshold Variables," MPRA Paper, University Library of Munich, Germany 54527, University Library of Munich, Germany.
  15. Bruce E. Hansen, 1997. "Threshold effects in non-dynamic panels: Estimation, testing and inference," Boston College Working Papers in Economics, Boston College Department of Economics 365, Boston College Department of Economics.
  16. Reinhart, Carmen & Kaminsky, Graciela & Lizondo, Saul, 1998. "Leading Indicators of Currency Crises," MPRA Paper, University Library of Munich, Germany 6981, University Library of Munich, Germany.
  17. Simon M. Potter, 1993. "A Nonlinear Approach to U.S. GNP," UCLA Economics Working Papers, UCLA Department of Economics 693, UCLA Department of Economics.
  18. Bruce E. Hansen, 1996. "Sample Splitting and Threshold Estimation," Boston College Working Papers in Economics, Boston College Department of Economics 319., Boston College Department of Economics, revised 12 May 1998.
  19. Astatkie, T. & Watts, D. G. & Watt, W. E., 1997. "Nested threshold autoregressive (NeTAR) models," International Journal of Forecasting, Elsevier, Elsevier, vol. 13(1), pages 105-116, March.
  20. Obstfeld, Maurice, 1986. "Rational and Self-fulfilling Balance-of-Payments Crises," American Economic Review, American Economic Association, American Economic Association, vol. 76(1), pages 72-81, March.
  21. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, Elsevier, vol. 110(2), pages 319-352, October.
  22. Flood, Robert P. & Garber, Peter M., 1984. "Collapsing exchange-rate regimes : Some linear examples," Journal of International Economics, Elsevier, Elsevier, vol. 17(1-2), pages 1-13, August.
  23. Henry, Olan T & Olekalns, Nilss & Summers, Peter M, 2001. "Exchange Rate Instability: A Threshold Autoregressive Approach," The Economic Record, The Economic Society of Australia, The Economic Society of Australia, vol. 77(237), pages 160-66, June.
  24. Morris Goldstein & Carmen M. Reinhart, 2000. "Assessing Financial Vulnerability: An Early Warning System for Emerging Markets," Peterson Institute Press: All Books, Peterson Institute for International Economics, Peterson Institute for International Economics, number 100, July.
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