IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v64y2024i2d10.1007_s10614-023-10458-4.html
   My bibliography  Save this article

Finite Sample Lag Adjusted Critical Values and Probability Values for the Fourier Wavelet Unit Root Test

Author

Listed:
  • Peter S. Sephton

    (Queen’s University)

Abstract

Inferences from tests for non-stationarity depend critically on whether and how breaks and/or non-linearities are specified. Recent work has shown that wavelet transformations that separate a variable’s high and low frequency components can enhance the performance of unit root and stationarity tests. This note provides response surface estimates of finite sample, lag-adjusted critical values and approximate probability values for an Augmented Dickey–Fuller type wavelet test that includes a Fourier term allowing for smooth breaks in the series. Applications highlight the practical benefits.

Suggested Citation

  • Peter S. Sephton, 2024. "Finite Sample Lag Adjusted Critical Values and Probability Values for the Fourier Wavelet Unit Root Test," Computational Economics, Springer;Society for Computational Economics, vol. 64(2), pages 693-705, August.
    • Handle: RePEc:kap:compec:v:64:y:2024:i:2:d:10.1007_s10614-023-10458-4
    DOI: 10.1007/s10614-023-10458-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-023-10458-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10614-023-10458-4?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. Andrea Bastianin & Alessandro Lanza & Matteo Manera, 2018. "Economic impacts of El Niño southern oscillation: evidence from the Colombian coffee market," Agricultural Economics, International Association of Agricultural Economists, vol. 49(5), pages 623-633, September.
    2. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of a Modified Dickey-Fuller Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(3), pages 411-419, August.
    3. Burak Alparslan Eroğlu & Barış Soybilgen, 2018. "On the Performance of Wavelet Based Unit Root Tests," JRFM, MDPI, vol. 11(3), pages 1-22, August.
    4. Aydin, Mucahit & Pata, Ugur Korkut, 2020. "Are shocks to disaggregated renewable energy consumption permanent or temporary for the USA? Wavelet based unit root test with smooth structural shifts," Energy, Elsevier, vol. 207(C).
    5. Peter Sephton, 2008. "Critical values of the augmented fractional Dickey–Fuller test," Empirical Economics, Springer, vol. 35(3), pages 437-450, November.
    6. Shahbaz, Muhammad & Sinha, Avik, 2019. "Environmental Kuznets Curve for CO2 emission: A survey of empirical literature," MPRA Paper 100257, University Library of Munich, Germany, revised 2019.
    7. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    8. Pierre Perron, 2017. "Unit Roots and Structural Breaks," Econometrics, MDPI, vol. 5(2), pages 1-3, May.
    9. 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.
    10. Sephton, Peter S., 2019. "El Niño, La Niña, and a cup of Joe," Energy Economics, Elsevier, vol. 84(C).
    11. Sebastian Kripfganz & Daniel C. Schneider, 2020. "Response Surface Regressions for Critical Value Bounds and Approximate p‐values in Equilibrium Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1456-1481, December.
    12. 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.
    13. Peter Sephton, 2017. "Finite Sample Critical Values of the Generalized KPSS Stationarity Test," Computational Economics, Springer;Society for Computational Economics, vol. 50(1), pages 161-172, June.
    14. Luis Fernando Melo‐Velandia & Camilo Andrés Orozco‐Vanegas & Daniel Parra‐Amado, 2022. "Extreme weather events and high Colombian food prices: A non‐stationary extreme value approach," Agricultural Economics, International Association of Agricultural Economists, vol. 53(S1), pages 21-40, November.
    15. S Cook, 2001. "Finite-sample critical values of the Augmented Dickey-Fuller statistic: a note on lag order," Economic Issues Journal Articles, Economic Issues, vol. 6(2), pages 31-46, September.
    16. David Ubilava, 2012. "El Niño, La Niña, and world coffee price dynamics," Agricultural Economics, International Association of Agricultural Economists, vol. 43(1), pages 17-26, January.
    17. Peter S. Sephton, 2022. "Finite Sample Lag Adjusted Critical Values of the ADF-GLS Test," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 177-183, January.
    18. Peter Sephton, 2009. "Critical values for the augmented efficient Wald test for fractional unit roots," Empirical Economics, Springer, vol. 37(3), pages 615-626, December.
    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. Sephton, Peter S., 2019. "El Niño, La Niña, and a cup of Joe," Energy Economics, Elsevier, vol. 84(C).
    2. Peter S. Sephton, 2022. "Finite Sample Lag Adjusted Critical Values of the ADF-GLS Test," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 177-183, January.
    3. Sebastian Kripfganz & Daniel C. Schneider, 2020. "Response Surface Regressions for Critical Value Bounds and Approximate p‐values in Equilibrium Correction Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(6), pages 1456-1481, December.
    4. Sephton, Peter S., 2022. "Revisiting the inflation-hedging properties of precious metals in Africa," Resources Policy, Elsevier, vol. 77(C).
    5. Sephton, Peter, 2023. "Threshold cointegration and asymmetries between dividends and earnings news," Finance Research Letters, Elsevier, vol. 58(PB).
    6. Sephton, Peter & Mann, Janelle, 2018. "Gold and crude oil prices after the great moderation," Energy Economics, Elsevier, vol. 71(C), pages 273-281.
    7. 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.
    8. Davinson Stev Abril‐Salcedo & Luis Fernando Melo‐Velandia & Daniel Parra‐Amado, 2020. "Nonlinear relationship between the weather phenomenon El niño and Colombian food prices," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 64(4), pages 1059-1086, October.
    9. Holmes, Mark J. & Otero, Jesús, 2023. "Psychological price barriers, El Niño, La Niña: New insights for the case of coffee," Journal of Commodity Markets, Elsevier, vol. 31(C).
    10. Luis A. Gil-Alana & OlaOluwa S. Yaya, 2021. "Testing fractional unit roots with non-linear smooth break approximations using Fourier functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(13-15), pages 2542-2559, November.
    11. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, April.
    12. Kassouri, Yacouba, 2022. "Boom-bust cycles in oil consumption: The role of explosive bubbles and asymmetric adjustments," Energy Economics, Elsevier, vol. 111(C).
    13. 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.
    14. 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.
    15. 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.
    16. Atems, Bebonchu & Sardar, Naafey, 2021. "Exploring asymmetries in the effects of El Niño-Southern Oscillation on U.S. food and agricultural stock prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 81(C), pages 1-14.
    17. Keen Meng Choy & Hwee Kwan Chow, 2004. "Forecasting the Global Electronics Cycle with Leading Indicators: A VAR Approach," Econometric Society 2004 Australasian Meetings 223, Econometric Society.
    18. Yin‐Wong Cheung & XingWang Qian, 2010. "Capital Flight: China's Experience," Review of Development Economics, Wiley Blackwell, vol. 14(2), pages 227-247, May.
    19. Mann, Janelle M., 2013. "Is there a Global Relationship Across Crude Oil Benchmarks?," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150368, Agricultural and Applied Economics Association.
    20. Chen, Shyh-Wei & Xie, Zixiong, 2017. "Asymmetric adjustment and smooth breaks in dividend yields: Evidence from international stock markets," International Review of Economics & Finance, Elsevier, vol. 48(C), pages 339-354.

    More about this item

    Keywords

    Integrated processes; Akaike information criterion; Bayesian information criterion; Wavelet; 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
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    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:kap:compec:v:64:y:2024:i:2:d:10.1007_s10614-023-10458-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.