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Testing for a unit root in a stationary ESTAR process

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  • Rehim Kılıc

Abstract

This article develops a statistic for testing the null of a linear unit root process against the alternative of a stationary exponential smooth transition autoregressive model. The asymptotic distribution of the test is shown to be nonstandard but nuisance parameter-free and hence critical values are obtained by simulations. Simulations show that the proposed statistic has considerable power under various data generating scenarios. Applications to real exchange rates also illustrate the ability of our test to reject null of unit root when some of the alternative tests do not.

Suggested Citation

  • Rehim Kılıc, 2011. "Testing for a unit root in a stationary ESTAR process," Econometric Reviews, Taylor & Francis Journals, vol. 30(3), pages 274-302.
    • Handle: RePEc:taf:emetrv:v:30:y:2011:i:3:p:274-302
    DOI: 10.1080/07474938.2011.553511
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    References listed on IDEAS

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    1. George Kapetanios & Yongcheol Shin, 2003. "GLS Detrending-Based Unit Root Tests in Nonlinear STAR and SETAR Frameworks," Edinburgh School of Economics Discussion Paper Series 108, Edinburgh School of Economics, University of Edinburgh.
    2. Joon Y. Park & Mototsugu Shintani, 2005. "Testing for a Unit Root against Transitional Autoregressive Models," Vanderbilt University Department of Economics Working Papers 05010, Vanderbilt University Department of Economics.
    3. Robinson Kruse, 2011. "A new unit root test against ESTAR based on a class of modified statistics," Statistical Papers, Springer, vol. 52(1), pages 71-85, February.
    4. Dominguez, Kathryn M.E., 2006. "When do central bank interventions influence intra-daily and longer-term exchange rate movements?," Journal of International Money and Finance, Elsevier, vol. 25(7), pages 1051-1071, November.
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    1. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    2. Zhang, Lingxiang, 2013. "Modeling China's inflation dynamics: An MRSTAR approach," Economic Modelling, Elsevier, vol. 31(C), pages 440-446.
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    4. Zhang, Lingxiang, 2013. "Revisiting the empirics of inflation in China: A smooth transition error correction approach," Economics Letters, Elsevier, vol. 119(1), pages 68-71.

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