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Testing for a unit root against ESTAR nonlinearity with a delay parameter greater than one

  • Stephen Norman


    (University of Washington, Tacoma)

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    In this paper, the tests of Kapetanios, Shin, and Snell (2003) and Bec, Ben Salem, and Carrasco (2004), which are designed to detect nonstationarity verses globally stationary exponential smooth transition autoregressive (ESTAR) nonlinearity, are extended to allow for a delay parameter, d, that is greater than one. Based on Monte Carlo simulations, it is shown that when the true delay parameter is greater than one, using the test with the correct value of d improves power almost uniformly compared to constraining the delay parameter to be unity. Using the tests when the delay parameter is not known and must be estimated is also addressed.

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    Article provided by AccessEcon in its journal Economics Bulletin.

    Volume (Year): 29 (2009)
    Issue (Month): 3 ()
    Pages: 2152-2173

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    Handle: RePEc:ebl:ecbull:eb-08c20060
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    1. Frédérique Bec & Mélika Ben Salem & Marine Carrasco, 2010. "Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime STAR Model," Post-Print hal-00685810, HAL.
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    5. Eitrheim, Øyvind & Teräsvirta, Timo, 1995. "Testing the Adequacy of Smooth Transition Autoregressive Models," SSE/EFI Working Paper Series in Economics and Finance 56, Stockholm School of Economics.
    6. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
    7. Christopher F. Baum & Mustafa Caglayan & John Barkoulas, 1998. "Nonlinear Adjustment to Purchasing Power Parity in the post-Bretton Woods Era," Boston College Working Papers in Economics 404., Boston College Department of Economics, revised 16 Nov 1999.
    8. 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.
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    10. 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 627-45, August.
    11. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
    12. Joon Y. Park & Peter C.B. Phillips, 1998. "Nonlinear Regressions with Integrated Time Series," Cowles Foundation Discussion Papers 1190, Cowles Foundation for Research in Economics, Yale University.
    13. Chowdhury, Ibrahim & Sarno, Lucio & Taylor, Mark P, 2002. "Non-Linear Dynamics in Deviations from the Law of One Price: A Broad-Based Empirical Study," CEPR Discussion Papers 3377, C.E.P.R. Discussion Papers.
    14. Dirk Te Velde, 2001. "Balance of payments prospects in EMU," NIESR Discussion Papers 178, National Institute of Economic and Social Research.
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