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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," ESE Discussion Papers 108, Edinburgh School of Economics, University of Edinburgh.
    2. 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, May.
    3. 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.
    4. 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.
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    Cited by:

    1. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters,in: Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94 Edward Elgar Publishing.
    2. 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.
    3. Zhang, Lingxiang, 2013. "Modeling China's inflation dynamics: An MRSTAR approach," Economic Modelling, Elsevier, vol. 31(C), pages 440-446.
    4. Chen, Shyh-Wei, 2014. "Smooth transition, non-linearity and current account sustainability: Evidence from the European countries," Economic Modelling, Elsevier, vol. 38(C), pages 541-554.

    More about this item

    Keywords

    ESTAR model; Nonlinearity; Unit root;

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