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A Residual-Based Cointegration test with a Fourier Approximation

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  • Yilanci, Veli

Abstract

This paper proposes a residual-based cointegration test in the presence of smooth structural changes approximated by a Fourier function. The test offers a simple way to accommodate unknown number and form of structural breaks and have good size and power properties in the presence of breaks.

Suggested Citation

  • Yilanci, Veli, 2019. "A Residual-Based Cointegration test with a Fourier Approximation," MPRA Paper 95395, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:95395
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    File URL: https://mpra.ub.uni-muenchen.de/117146/2/LV.pdf
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    References listed on IDEAS

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    1. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-277, August.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    4. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    5. Banerjee, Piyali & Arčabić, Vladimir & Lee, Hyejin, 2017. "Fourier ADL cointegration test to approximate smooth breaks with new evidence from Crude Oil Market," Economic Modelling, Elsevier, vol. 67(C), pages 114-124.
    6. Paulo M. M. Rodrigues & A. M. Robert Taylor, 2012. "The Flexible Fourier Form and Local Generalised Least Squares De-trended Unit Root Tests-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(5), pages 736-759, October.
    7. Abdulnasser Hatemi-J, 2008. "Tests for cointegration with two unknown regime shifts with an application to financial market integration," Empirical Economics, Springer, vol. 35(3), pages 497-505, November.
    8. Gregory, Allan W & Hansen, Bruce E, 1996. "Tests for Cointegration in Models with Regime and Trend Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 555-560, August.
    9. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    10. Stephen Leybourne & Paul Newbold, 2003. "Spurious rejections by cointegration tests induced by structural breaks," Applied Economics, Taylor & Francis Journals, vol. 35(9), pages 1117-1121.
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    Cited by:

    1. Veli Yilanci & Recep Ulucak & Yaoqi Zhang & Valeria Andreoni, 2023. "The role of affluence, urbanization, and human capital for sustainable forest management in China: Robust findings from a new method of Fourier cointegration," Sustainable Development, John Wiley & Sons, Ltd., vol. 31(2), pages 812-824, April.

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    More about this item

    Keywords

    cointegration test; Fourier function; structural breaks.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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