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An alternative procedure to test for cointegration in STAR models

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  • Maki, Daiki

Abstract

This paper proposes an alternative procedure to test for cointegration in smooth transition autoregressive (STAR) models. We consider the exponential STAR (ESTAR) and double logistic STAR (D-LSTAR) models. The proposed tests are t-tests with a null hypothesis of no cointegration and an alternative hypothesis of cointegration with STAR adjustment. The procedure introduced in this paper employs a grid search to compute a test statistic. Monte Carlo simulations demonstrate that as compared to other tests, the proposed approach has better power when the persistence of the process toward equilibrium and the sample size increase.

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  • Maki, Daiki, 2010. "An alternative procedure to test for cointegration in STAR models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 999-1006.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:5:p:999-1006
    DOI: 10.1016/j.matcom.2009.12.003
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    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. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
    3. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    4. Sokbae Lee & Myung Hwan Seo & Youngki Shin, 2017. "Correction," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 883-883, April.
    5. Sarno, Lucio & Taylor, Mark P & Peel, David A, 2003. "Nonlinear Equilibrium Correction in U.S. Real Money Balances, 1869-1997," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(5), pages 787-799, October.
    6. 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.
    7. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    8. Lo, Ming Chien & Zivot, Eric, 2001. "Threshold Cointegration And Nonlinear Adjustment To The Law Of One Price," Macroeconomic Dynamics, Cambridge University Press, vol. 5(4), pages 533-576, September.
    9. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    10. Daiki Maki, 2006. "Non-linear adjustment in the term structure of interest rates: a cointegration analysis in the non-linear STAR framework," Applied Financial Economics, Taylor & Francis Journals, vol. 16(17), pages 1301-1307.
    11. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-484, November.
    12. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    13. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2006. "Testing For Cointegration In Nonlinear Smooth Transition Error Correction Models," Econometric Theory, Cambridge University Press, vol. 22(2), pages 279-303, April.
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    Cited by:

    1. Omay, Tolga & Hasanov, Mübariz & Uçar, Nuri, 2014. "Energy consumption and economic growth: Evidence from nonlinear panel cointegration and causality tests," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 34(2), pages 36-55.
    2. Omay, Tolga & Yuksel, Asli & Yuksel, Aydin, 2015. "An empirical examination of the generalized Fisher effect using cross-sectional correlation robust tests for panel cointegration," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 35(C), pages 18-29.
    3. Daiki Maki, 2013. "Detecting cointegration relationships under nonlinear models: Monte Carlo analysis and some applications," Empirical Economics, Springer, vol. 45(1), pages 605-625, August.
    4. Tipoy Christian K. & Breitenbach Marthinus C. & Zerihun Mulatu F., 2018. "Exchange rate misalignment and economic growth: evidence from nonlinear panel cointegration and granger causality tests," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 22(2), pages 1-16, April.

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    Keywords

    Cointegration; ESTAR; D-LSTAR;
    All these keywords.

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