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The flexible Fourier form and Dickey–Fuller type unit root tests

Author

Listed:
  • Enders, Walter
  • Lee, Junsoo

Abstract

We suggest a new unit-root test with a Fourier function in the deterministic term in a Dickey–Fuller type regression framework. Our suggested test can complement the Fourier LM and DF-GLS unit root tests. They have good size and power properties.

Suggested Citation

  • Enders, Walter & Lee, Junsoo, 2012. "The flexible Fourier form and Dickey–Fuller type unit root tests," Economics Letters, Elsevier, vol. 117(1), pages 196-199.
  • Handle: RePEc:eee:ecolet:v:117:y:2012:i:1:p:196-199
    DOI: 10.1016/j.econlet.2012.04.081
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Prodan, Ruxandra, 2008. "Potential Pitfalls in Determining Multiple Structural Changes With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 50-65, January.
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    Cited by:

    1. Andrew Phiri, 2018. "How sustainable are fiscal budgets in the Kingdom of Swaziland?," Working Papers 1810, Department of Economics, Nelson Mandela University, revised Mar 2018.
    2. Claudio Morana, 2014. "Factor Vector Autoregressive Estimation of Heteroskedastic Persistent and Non Persistent Processes Subject to Structural Breaks," Working Papers 273, University of Milano-Bicocca, Department of Economics, revised May 2014.
    3. Güriş, Burak, 2017. "A Flexible Fourier Form Nonlinear Unit Root Test Based on ESTAR Model," MPRA Paper 83472, University Library of Munich, Germany.
    4. Tolga Omay & Rangan Gupta & Giovanni Bonaccolto, 2017. "The US real GNP is trend-stationary after all," Applied Economics Letters, Taylor & Francis Journals, vol. 24(8), pages 510-514, May.
    5. Teterin, Pavel & Brooks, Robert & Enders, Walter, 2016. "Smooth volatility shifts and spillovers in U.S. crude oil and corn futures markets," Journal of Empirical Finance, Elsevier, vol. 38(PA), pages 22-36.
    6. Shahzad, Syed Jawad Hussain & Nor, Safwan Mohd & Hammoudeh, Shawkat & Shahbaz, Muhammad, 2017. "Directional and bidirectional causality between U.S. industry credit and stock markets and their determinants," International Review of Economics & Finance, Elsevier, vol. 47(C), pages 46-61.
    7. Bakas, Dimitrios & Papapetrou, Evangelia, 2014. "Unemployment in Greece: Evidence from Greek regions using panel unit root tests," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(4), pages 551-562.
    8. Omay, Tolga, 2015. "Fractional Frequency Flexible Fourier Form to approximate smooth breaks in unit root testing," Economics Letters, Elsevier, vol. 134(C), pages 123-126.
    9. Shyh-Wei Chen & Chi-Sheng Hsu & Cyun-Jhen Pen, 2016. "Are Inflation Rates Mean-reverting Processes? Evidence from Six Asian Countries," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 12(1), pages 119-155, February.
    10. Nazlioglu, Saban & Gormus, N. Alper & Soytas, Uğur, 2016. "Oil prices and real estate investment trusts (REITs): Gradual-shift causality and volatility transmission analysis," Energy Economics, Elsevier, vol. 60(C), pages 168-175.
    11. Güriş, Burak, 2017. "A New Nonlinear Unit Root Test with Fourier Function," MPRA Paper 82260, University Library of Munich, Germany.
    12. Tiwari, Aviral Kumar & Albulescu, Claudiu Tiberiu, 2016. "Renewable-to-total electricity consumption ratio: Estimating the permanent or transitory fluctuations based on flexible Fourier stationarity and unit root tests," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1409-1427.
    13. repec:eee:ecolet:v:159:y:2017:i:c:p:128-133 is not listed on IDEAS
    14. Fathali Firoozi & Donald Lien, 2016. "A Modified ADF Test for Geometric ARMA Processes," International Journal of Business and Economics, College of Business and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 15(2), pages 173-179, December.
    15. repec:eee:finana:v:52:y:2017:i:c:p:9-26 is not listed on IDEAS
    16. Nazlioglu, Saban & Karul, Cagin, 2017. "A panel stationarity test with gradual structural shifts: Re-investigate the international commodity price shocks," Economic Modelling, Elsevier, vol. 61(C), pages 181-192.
    17. Furuoka, Fumitaka, 2014. "Hysteresis in European labour market," MPRA Paper 60946, University Library of Munich, Germany.
    18. repec:eee:ecmode:v:67:y:2017:i:c:p:114-124 is not listed on IDEAS
    19. Su, Jen-Je & Nguyen, Jeremy K., 2013. "Alternative unit root testing strategies using the Fourier approximation," Economics Letters, Elsevier, vol. 121(1), pages 8-11.
    20. Furuoka, Fumitaka, 2014. "Unemployment hysteresis in Central Asia," MPRA Paper 60323, University Library of Munich, Germany.
    21. repec:spr:empeco:v:53:y:2017:i:3:d:10.1007_s00181-016-1164-7 is not listed on IDEAS

    More about this item

    Keywords

    Neglected nonlinearity; Fourier approximation; Unit root;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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