IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v134y2015icp123-126.html
   My bibliography  Save this article

Fractional Frequency Flexible Fourier Form to approximate smooth breaks in unit root testing

Author

Listed:
  • Omay, Tolga

Abstract

In this study, a Fractional Frequency Flexible Fourier Form DF-type unit root test is proposed. The small sample properties of the proposed test are found to be better than that of the integer frequency counterpart.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ecolet:v:134:y:2015:i:c:p:123-126
    DOI: 10.1016/j.econlet.2015.07.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176515002839
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2015.07.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, August.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nazlioglu, Saban & Gupta, Rangan & Gormus, Alper & Soytas, Ugur, 2020. "Price and volatility linkages between international REITs and oil markets," Energy Economics, Elsevier, vol. 88(C).
    2. 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.
    3. 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.
    4. Yifei Cai & Tolga Omay, 2022. "Using Double Frequency in Fourier Dickey–Fuller Unit Root Test," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 445-470, February.
    5. Nazlioglu, Saban & Payne, James E. & Lee, Junsoo & Rayos-Velazquez, Marco & Karul, Cagin, 2021. "Convergence in OPEC carbon dioxide emissions: Evidence from new panel stationarity tests with factors and breaks," Economic Modelling, Elsevier, vol. 100(C).
    6. Durusu-Ciftci, Dilek & Ispir, M. Serdar & Kok, Dundar, 2019. "Do stock markets follow a random walk? New evidence for an old question," International Review of Economics & Finance, Elsevier, vol. 64(C), pages 165-175.
    7. Gormus, Alper & Nazlioglu, Saban & Soytas, Ugur, 2018. "High-yield bond and energy markets," Energy Economics, Elsevier, vol. 69(C), pages 101-110.
    8. Yilanci, Veli & Aydin, Mücahit & Aydin, Mehmet, 2019. "Residual Augmented Fourier ADF Unit Root Test," MPRA Paper 96797, University Library of Munich, Germany.
    9. Fatih Kaplan & Ayşe E. Ünal, 2020. "Industrial Production Index - Crude Oil Price Nexus: Russia, Kazakhstan And Azerbaijan," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 65(227), pages 119-142, October –.
    10. Winkelried, Diego, 2018. "Unit roots, flexible trends, and the Prebisch-Singer hypothesis," Journal of Development Economics, Elsevier, vol. 132(C), pages 1-17.
    11. Nazlioglu, Saban & Gupta, Rangan & Bouri, Elie, 2020. "Movements in international bond markets: The role of oil prices," International Review of Economics & Finance, Elsevier, vol. 68(C), pages 47-58.
    12. Silva Lopes, Artur C., 2021. "Most likely you go your way (and I'll go mine): non-convergent incomes with a new DF-Fourier test," MPRA Paper 107676, University Library of Munich, Germany, revised 19 Mar 2021.
    13. Silva Lopes, Artur, 2020. "Revisiting income convergence with DF-Fourier tests: old evidence with a new test," MPRA Paper 102208, University Library of Munich, Germany.
    14. 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.
    15. Seda Yıldırım & Durmuş Çağrı Yıldırım & Seda H. Bostancı & Elif Nur Tarı, 2022. "Winner or loser? The asymmetric role of natural resource rents on financial development among resource‐rich countries," Sustainable Development, John Wiley & Sons, Ltd., vol. 30(6), pages 1921-1933, December.
    16. Yeonwoo Rho & Yun Liu & Hie Joo Ahn, 2020. "Revealing Cluster Structures Based on Mixed Sampling Frequencies," Papers 2004.09770, arXiv.org, revised Feb 2021.
    17. 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.
    18. Tsong, Ching-Chuan & Wu, Chien-Wei & Chiu, Hsien-Hung & Lee, Cheng-Feng, 2013. "Covariate unit root tests under structural change and asymmetric STAR dynamics," Economic Modelling, Elsevier, vol. 33(C), pages 101-112.
    19. 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.
    20. Takamitsu Kurita & Mototsugu Shintani, 2023. "Johansen Test with Fourier-Type Smooth Nonlinear Trends in Cointegrating Relations," CIRJE F-Series CIRJE-F-1216, CIRJE, Faculty of Economics, University of Tokyo.

    More about this item

    Keywords

    Fractional Frequency Flexible Fourier Form; Structural break; Nonlinear trend; Unit root;
    All these keywords.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:134:y:2015:i:c:p:123-126. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.