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Residual-based tests for cointegration with three-regime TAR adjustment

Listed author(s):
  • Daiki Maki

    ()

  • Shin-ichi Kitasaka

    ()

Registered author(s):

    This paper proposes residual-based tests for cointegration with three-regime threshold autoregressive (TAR) adjustment. We propose Wald-type and $$t$$ t -type tests that have the null hypothesis of linear no cointegration and the alternative of cointegration with three-regime TAR adjustment and also derive the asymptotic distributions. Monte Carlo simulations show that the proposed tests perform better than the Engle–Granger cointegration test and the cointegration test in a two-regime TAR model introduced by Enders and Siklos (J Bus Econ Stat 19:166–176, 2001 ), under cointegration with three-regime TAR adjustment, particularly when the threshold and sample size increase. When we apply these tests to the money demand of the U.S., the proposed tests reject the null of no cointegration whereas other tests do not. Copyright Springer-Verlag Berlin Heidelberg 2015

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    File URL: http://hdl.handle.net/10.1007/s00181-014-0822-x
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    Article provided by Springer in its journal Empirical Economics.

    Volume (Year): 48 (2015)
    Issue (Month): 3 (May)
    Pages: 1013-1054

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    Handle: RePEc:spr:empeco:v:48:y:2015:i:3:p:1013-1054
    DOI: 10.1007/s00181-014-0822-x
    Contact details of provider: Web page: http://www.springer.com

    Order Information: Web: http://www.springer.com/economics/econometrics/journal/181/PS2

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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. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
    3. Frédérique Bec & Mélika Ben Salem & Marine Carrasco, 2010. "Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime star Model," Annals of Economics and Statistics, GENES, issue 99-100, pages 395-427.
    4. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    5. 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.
    6. Mizen, Paul, 1997. "Microfoundations for a Stable Demand for Money Function," Economic Journal, Royal Economic Society, vol. 107(443), pages 1202-1212, July.
    7. Sarno, Lucio, 1999. "Adjustment Costs and Nonlinear Dynamics in the Demand for Money: Italy, 1861-1991," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(2), pages 155-177, April.
    8. Daiki Maki, 2009. "Tests for a Unit Root Using Three-Regime TAR Models: Power Comparison and Some Applications," Econometric Reviews, Taylor & Francis Journals, vol. 28(4), pages 335-363.
    9. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    10. 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.
    11. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-176, April.
    12. Taylor, Alan M, 2001. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," Econometrica, Econometric Society, vol. 69(2), pages 473-498, March.
    13. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
    14. Cuthbertson, Keith & Taylor, Mark P, 1987. "The Demand for Money: A Dynamic Rational Expectations Model," Economic Journal, Royal Economic Society, vol. 97(388a), pages 65-76, Supplemen.
    15. 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.
    16. Seo, Myung Hwan, 2008. "Unit Root Test In A Threshold Autoregression: Asymptotic Theory And Residual-Based Block Bootstrap," Econometric Theory, Cambridge University Press, vol. 24(06), pages 1699-1716, December.
    17. Daiki Maki & Shin-ichi Kitasaka, 2006. "The equilibrium relationship among money, income, prices, and interest rates: evidence from a threshold cointegration test," Applied Economics, Taylor & Francis Journals, vol. 38(13), pages 1585-1592.
    18. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
    19. George Kapetanios & Yongcheol Shin, 2006. "Unit root tests in three-regime SETAR models," Econometrics Journal, Royal Economic Society, vol. 9(2), pages 252-278, July.
    20. Milbourne, Ross D, 1987. "Re-examining the Buffer-Stock Model of Money," Economic Journal, Royal Economic Society, vol. 97(388a), pages 130-142, Supplemen.
    21. Bec, Frederique & Guay, Alain & Guerre, Emmanuel, 2008. "Adaptive consistent unit-root tests based on autoregressive threshold model," Journal of Econometrics, Elsevier, vol. 142(1), pages 94-133, January.
    22. 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, March.
    23. 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.
    24. Seo, Myunghwan, 2006. "Bootstrap testing for the null of no cointegration in a threshold vector error correction model," Journal of Econometrics, Elsevier, vol. 134(1), pages 129-150, September.
    25. 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.
    26. repec:adr:anecst:y:2010:i:99-100:p:16 is not listed on IDEAS
    27. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    28. 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.
    29. Sollis, Robert & Leybourne, Stephen & Newbold, Paul, 2002. "Tests for Symmetric and Asymmetric Nonlinear Mean Reversion in Real Exchange Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(3), pages 686-700, August.
    30. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    31. Frederic Bec & Melika Ben Salem & Marine Carrasco, 2004. "Tests for Unit-Root versus Threshold Specification With an Application to the Purchasing Power Parity Relationship," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 382-395, October.
    32. Pippenger, Michael K & Goering, Gregory E, 1993. "A Note on the Empirical Power of Unit Root Tests under Threshold Processes," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(4), pages 473-481, November.
    33. Clements, Michael P. & Galv O, Ana Beatriz C., 2003. "Testing The Expectations Theory Of The Term Structure Of Interest Rates In Threshold Models," Macroeconomic Dynamics, Cambridge University Press, vol. 7(04), pages 567-585, September.
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