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Note on Fully Modified Estimation for Three-Regime Threshold Cointegration Model

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DOI: 10.4236/tel.2014.46063    3,759 Downloads   5,144 Views  
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In this paper we consider a three-regime threshold cointegration model. The fully modified ordinary least squares (FM-OLS) regression of Phillips and Hansen [1] is used to develop new methods for estimating cointegrating coefficients. After we remove the second-order biases of parameter estimates from the three-regime threshold cointegration model, FM-OLS estimates have a limit distribution that is mixed normal for all the nonstationary coefficients.

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The authors declare no conflicts of interest.

Cite this paper

Wang, C. (2014) Note on Fully Modified Estimation for Three-Regime Threshold Cointegration Model. Theoretical Economics Letters, 4, 506-512. doi: 10.4236/tel.2014.46063.


[1] Phillips, P. and Hansen, B. (1990) Statistical Inference in Instrumental Variables Regression with I(1) Processes. Review of Economic Studies, 57, 99-125.
[2] Balke, N. and Fomby, T. (1997) Threshold Cointegration. International Economic Review, 38, 627-645.
[3] Choi, I. and Saikkonen, P. (2004) Testing Linearity in Cointegrating Smooth Transition Regressions. The Econometrics Journal, 7, 341-365.
[4] Hansen, B. and Seo, B. (2002) Testing for Two-Regime Threshold Cointegration in Vector Error Correction Models. Journal of Econometrics, 110, 293-318.
[5] Gaul, J. (2006) Estimation and Testing in a Three Regime Vector Error Correction Model. University of Bonn, Bonn.
[6] Gonzalo, J. and Pitarakis, J.-Y. (2006) Threshold Effects in Multivariate Error Correction Models. In: Mills, T. and Patterson, K., Eds., Palgrave Handbook of Econometrics: Econometric Theory Volume 1, Palgrave MacMillan, New York, 578-609.
[7] Gonzalo, J. and Pitarakis, J.-Y. (2006) Threshold Effects in Cointegration Relationships. Oxford Bulletin of Economics and Statistics, 68, 813-833.
[8] Kilic, R. (2011) Testing for Co-Integration and Nonlinear Adjustment in a Smooth Transition Error Correction Model. Journal of Time Series Analysis, 32, 647-660.
[9] Li, J. and Lee, J. (2010) ADL Tests for Threshold Cointegration. Journal of Time Series Analysis, 31, 241-254.
[10] Seo, M. (2006) Bootstrap Testing for the Null of No Cointegration in a Threshold Vector Error Correction Models. Journal of Econometrics, 134, 129-150.
[11] Lo, M. and Zivot, E. (2001) Threshold Cointegration and Nonlinear Adjustment to the Law of One Price. Macroeconomic Dynamics, 5, 533-576.
[12] Bec, F. and Rahbek, A. (2004) Vector Equilibrium Correction Models with Non-Linear Discontinuous Adjustments. The Econometrics Journal, 7, 628-651.
[13] De Jong, R. (2002) Nonlinear Minimization Estimators in the Presence of Cointegrating Relationships. Journal of Econometrics, 110, 241-259.
[14] Phillips, P. (1995) Fully Modified Least Squares and Vector Autoregression. Econometrica, 63, 1023-1078.

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