IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v159y2017icp128-133.html
   My bibliography  Save this article

Behavior of the standard Dickey–Fuller test when there is a Fourier-form break under the null hypothesis

Author

Listed:
  • Yang, Lixiong
  • Lee, Chingnun
  • Su, Jen-Je

Abstract

We derive the null asymptotic distribution of the standard Dickey–Fuller test with the existence of an unnoticed Fourier component. The so-called converse Perron phenomenon might occur, but only in the trend-case with a low-frequency Fourier component and small error variance.

Suggested Citation

  • Yang, Lixiong & Lee, Chingnun & Su, Jen-Je, 2017. "Behavior of the standard Dickey–Fuller test when there is a Fourier-form break under the null hypothesis," Economics Letters, Elsevier, vol. 159(C), pages 128-133.
    • Handle: RePEc:eee:ecolet:v:159:y:2017:i:c:p:128-133
    DOI: 10.1016/j.econlet.2017.07.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176517302963
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2017.07.016?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. Chingnun Lee & Jyh-Lin Wu & Lixiong Yang, 2016. "A Simple Panel Unit-Root Test with Smooth Breaks in the Presence of a Multifactor Error Structure," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 78(3), pages 365-393, June.
    2. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    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. 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.
    5. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    6. 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.
    7. Stephen J. Leybourne And Paul Newbold, 2000. "Behaviour of the standard and symmetric Dickey-Fuller-type tests when there is a break under the null hypothesis," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 1-15.
    8. 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.
    9. Leybourne, Stephen J. & Newbold, Paul, 2000. "BEHAVIOR OF DICKEY–FULLER t-TESTS WHEN THERE IS A BREAK UNDER THE ALTERNATIVE HYPOTHESIS," Econometric Theory, Cambridge University Press, vol. 16(5), pages 779-789, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ren, Weijie & Li, Baisong & Han, Min, 2020. "A novel Granger causality method based on HSIC-Lasso for revealing nonlinear relationship between multivariate time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    2. Omay, Tolga & Shahbaz, Muhammad & Stewart, Chris, 2021. "Is There Really Hysteresis in OECD Countries’ Unemployment Rates? New Evidence Using a Fourier Panel Unit Root Test," MPRA Paper 107691, University Library of Munich, Germany, revised 10 May 2021.
    3. Tolga Omay & Perihan Iren, 2023. "Controlling Heterogeneous Structure of Smooth Breaks in Panel Unit Root and Cointegration Testing," Computational Economics, Springer;Society for Computational Economics, vol. 61(1), pages 233-265, January.

    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. Martin B. Schmidt, 2021. "On the evolution of athlete anthropometric measurements: racial integration, expansion, and steroids," Empirical Economics, Springer, vol. 61(6), pages 3419-3443, December.
    4. Hung, Ying-Shu & Lee, Chingnun & Chen, Pei-Fen, 2022. "China’s monetary policy and global stock markets: A new cointegration approach with smoothing structural changes," Economic Analysis and Policy, Elsevier, vol. 76(C), pages 643-666.
    5. 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.
    6. 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.
    7. 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.
    8. Gormus, Alper & Nazlioglu, Saban & Soytas, Ugur, 2018. "High-yield bond and energy markets," Energy Economics, Elsevier, vol. 69(C), pages 101-110.
    9. Tsong Ching-Chuan & Lee Cheng-Feng & Tsai Li Ju, 2019. "A parametric stationarity test with smooth breaks," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(2), pages 1-14, April.
    10. Veli Yilanci & Muhammed Sehid Gorus & Sakiru Adebola Solarin, 2022. "Convergence in per capita carbon footprint and ecological footprint for G7 countries: Evidence from panel Fourier threshold unit root test," Energy & Environment, , vol. 33(3), pages 527-545, May.
    11. Yilanci, Veli & Aydin, Mücahit & Aydin, Mehmet, 2019. "Residual Augmented Fourier ADF Unit Root Test," MPRA Paper 96797, University Library of Munich, Germany.
    12. Tolga Omay & Perihan Iren, 2023. "Controlling Heterogeneous Structure of Smooth Breaks in Panel Unit Root and Cointegration Testing," Computational Economics, Springer;Society for Computational Economics, vol. 61(1), pages 233-265, January.
    13. Silva Lopes, Artur, 2021. "Non-convergent incomes with a new DF-Fourier test: most likely you go your way (and I'll go mine)," MPRA Paper 120171, University Library of Munich, Germany, revised 09 Oct 2023.
    14. Hasanov, Fakhri J. & Aliyev, Ruslan & Taskin, Dilvin & Suleymanov, Elchin, 2023. "Oil rents and non-oil economic growth in CIS oil exporters. The role of financial development," Resources Policy, Elsevier, vol. 82(C).
    15. Yushi Jiang & Yifei Cai & Yi-Ting Peng & Tsangyao Chang, 2019. "Testing Hysteresis in Unemployment in G7 Countries Using Quantile Unit Root Test with both Sharp Shifts and Smooth Breaks," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 142(3), pages 1211-1229, April.
    16. Omay, Tolga & Shahbaz, Muhammad & Stewart, Chris, 2021. "Is There Really Hysteresis in OECD Countries’ Unemployment Rates? New Evidence Using a Fourier Panel Unit Root Test," MPRA Paper 107691, University Library of Munich, Germany, revised 10 May 2021.
    17. 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.
    18. 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.
    19. Tsangyao Chang & Tsung-Pao Wu & Rangan Gupta, 2015. "Are house prices in South Africa really nonstationary? Evidence from SPSM-based panel KSS test with a Fourier function," Applied Economics, Taylor & Francis Journals, vol. 47(1), pages 32-53, January.
    20. Sen, Amit, 2008. "Behaviour of Dickey-Fuller tests when there is a break under the unit root null hypothesis," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 622-628, April.

    More about this item

    Keywords

    Structural break; Fourier approximation; Unit root test;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

    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:159:y:2017:i:c:p:128-133. 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.