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Detection of Stationarity in Nonlinear Processes: A Comparison between Structural Breaks and Three-Regime TAR Models

Listed author(s):
  • Maki Daiki

    ()

    (Ryukoku University)

Registered author(s):

    The three-regime threshold autoregressive (TAR) model with a unit root process in the middle regime and the structural breaks (SB) model with level shifts are important and popular models for studying economic theories such as purchasing power parity (PPP) and economic variables with regime shifts. These nonlinear models have a significant influence on unit root tests. It is possible that the persistence of a variable becomes higher and the power of the unit root tests develops distortions if the form of the regime shifts is misspecified. This paper investigates the ability of unit root tests to detect stationarity in misspecified SB and three-regime TAR models. We show that the misspecified SB model has high persistence, similar to an autoregressive (AR) model, when the true process is a three-regime TAR process. On the other hand, unlike the AR model, the misspecified three-regime TAR model does not have persistence, when the true process is one with SB. The results of the Monte Carlo simulations demonstrate that a unit root test performed in the misspecified three-regime TAR model has more power even under processes with SB, whereas a unit root test undertaken in the misspecified SB model does not perform well under three-regime TAR processes. We also provide some instances of applications in economic variables that would have regime shifts.

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    Article provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.

    Volume (Year): 14 (2010)
    Issue (Month): 4 (September)
    Pages: 1-43

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    Handle: RePEc:bpj:sndecm:v:14:y:2010:i:4:n:3
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    1. George Kapetanios & Yongcheol Shin, 2006. "Unit root tests in three-regime SETAR models," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 252-278, 07.
    2. 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.
    3. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    4. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
    5. Chi-Young Choi & Young-Kyu Moh, 2007. "How useful are tests for unit-root in distinguishing unit-root processes from stationary but non-linear processes?," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 82-112, 03.
    6. Corbae, Dean & Ouliaris, Sam, 1991. "A Test of Long-Run Purchasing Power Parity Allowing for Structural Breaks," The Economic Record, The Economic Society of Australia, vol. 67(196), pages 26-33, March.
    7. Enders, Walter & Granger, Clive W J, 1998. "Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 304-311, July.
    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(04), pages 533-576, September.
    9. Baum, Christopher F & Karasulu, Meral, 1998. "Modelling Federal Reserve Discount Policy," Computational Economics, Springer;Society for Computational Economics, vol. 11(1-2), pages 53-70, April.
    10. 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.
    11. So, Beong Soo & Shin, Dong Wan, 2001. "An invariant sign test for random walks based on recursive median adjustment," Journal of Econometrics, Elsevier, vol. 102(2), pages 197-229, June.
    12. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
    13. Papell, David H. & Prodan, Ruxandra, 2006. "Additional Evidence of Long-Run Purchasing Power Parity with Restricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1329-1349, August.
    14. Bahmani-Oskooee, Mohsen & Kutan, Ali M. & Zhou, Su, 2007. "Testing PPP in the non-linear STAR framework," Economics Letters, Elsevier, vol. 94(1), pages 104-110, January.
    15. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    16. Bahmani-Oskooee, Mohsen, 1998. "Do exchange rates follow a random walk process in Middle Eastern countries?," Economics Letters, Elsevier, vol. 58(3), pages 339-344, March.
    17. Joon Y. Park & Mototsugu Shintani, 2016. "Testing For A Unit Root Against Transitional Autoregressive Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 635-664, 05.
    18. Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-125, February.
    19. Carrasco, Marine, 2002. "Misspecified Structural Change, Threshold, and Markov-switching models," Journal of Econometrics, Elsevier, vol. 109(2), pages 239-273, August.
    20. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(02), pages 359-368, February.
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