IDEAS home Printed from https://ideas.repec.org/a/bla/jtsera/v16y1995i5p493-498.html
   My bibliography  Save this article

Estimating Finite Sample Critical Values For Unit Root Tests Using Pure Random Walk Processes:A Note

Author

Listed:
  • Yin‐Wong Cheung
  • Kon S. Lai

Abstract

. Finite sample critical values currently available for the augmented Dickey‐Fuller test are commonly obtained via simulations using ARIMA (0, 1, 0) processes. An implicit but critical assumption is that the possible presence of nuisance nonunit roots in general processes does not affect the finite sample size property of the test. The validity of this assumption, though always presumed, has not been verified. This study shows that the use of ARIMA (0, 1, 0) processes for computing the critical values is not so restrictive as it may seem. By estimating empirical size curves as a function of nuisance root parameters, results of Monte Carlo analysis suggest that the empirical test size is not sensitive to nuisance autoregressive (AR) and moving‐average (MA) roots over a wide range of their values, except only when the AR or MA root is near unity. The results support, though not unqualifiedly, the reliability and usefulness of finite sample critical values estimated based on simple ARIMA (0, 1, 0) processes.

Suggested Citation

  • Yin‐Wong Cheung & Kon S. Lai, 1995. "Estimating Finite Sample Critical Values For Unit Root Tests Using Pure Random Walk Processes:A Note," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(5), pages 493-498, September.
    • Handle: RePEc:bla:jtsera:v:16:y:1995:i:5:p:493-498
    DOI: 10.1111/j.1467-9892.1995.tb00249.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9892.1995.tb00249.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9892.1995.tb00249.x?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
    ---><---

    References listed on IDEAS

    as
    1. Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
    2. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    3. C. Agiakloglou & P. Newbold, 1992. "Empirical Evidence On Dickey‐Fuller‐Type Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(6), pages 471-483, November.
    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. Cerra, Valerie & Saxena, Sweta Chaman, 2010. "The monetary model strikes back: Evidence from the world," Journal of International Economics, Elsevier, vol. 81(2), pages 184-196, July.

    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. David Greasley & Les Oxley, 2010. "Cliometrics And Time Series Econometrics: Some Theory And Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 24(5), pages 970-1042, December.
    2. Cook, Steven & Manning, Neil, 2004. "Lag optimisation and finite-sample size distortion of unit root tests," Economics Letters, Elsevier, vol. 84(2), pages 267-274, August.
    3. Artur Silva Lopes, 2006. "Deterministic seasonality in Dickey–Fuller tests: should we care?," Empirical Economics, Springer, vol. 31(1), pages 165-182, March.
    4. Pedersen, Thomas Quistgaard & Schütte, Erik Christian Montes, 2020. "Testing for explosive bubbles in the presence of autocorrelated innovations," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 207-225.
    5. Gadea, Maria-Dolores & Montanes, Antonio & Reyes, Marcelo, 2004. "The European Union currencies and the US dollar: from post-Bretton-Woods to the Euro," Journal of International Money and Finance, Elsevier, vol. 23(7-8), pages 1109-1136.
    6. Samuel Showalter & Jeffrey Gropp, 2019. "Validating Weak-form Market Efficiency in United States Stock Markets with Trend Deterministic Price Data and Machine Learning," Papers 1909.05151, arXiv.org.
    7. Franses,Philip Hans & Dijk,Dick van & Opschoor,Anne, 2014. "Time Series Models for Business and Economic Forecasting," Cambridge Books, Cambridge University Press, number 9780521520911.
    8. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, August.
    9. S. Zhou, 2003. "Evidence on the stationarity of ERM exchange rates," Applied Economics Letters, Taylor & Francis Journals, vol. 10(4), pages 231-233.
    10. Kristian Jönsson, 2011. "Testing Stationarity in Small‐ and Medium‐Sized Samples when Disturbances are Serially Correlated," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(5), pages 669-690, October.
    11. Baumöhl, Eduard, 2013. "Stock market integration between the CEE-4 and the G7 markets: Asymmetric DCC and smooth transition approach," MPRA Paper 43834, University Library of Munich, Germany.
    12. Schindler, Felix & Voronkova, Svitlana, 2010. "Linkages between international securitized real estate markets: Further evidence from time-varying and stochastic cointegration," ZEW Discussion Papers 10-051, ZEW - Leibniz Centre for European Economic Research.
    13. 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.
    14. Gianfreda, Angelica & Maranzano, Paolo & Parisio, Lucia & Pelagatti, Matteo, 2023. "Testing for integration and cointegration when time series are observed with noise," Economic Modelling, Elsevier, vol. 125(C).
    15. Abdol Soofi, 1998. "A fractional cointegration test of purchasing power parity: the case of selected members of OPEC," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 559-566.
    16. Lyócsa, Štefan & Baumöhl, Eduard, 2012. "Testing the covariance stationarity of CEE stocks," MPRA Paper 43432, University Library of Munich, Germany.
    17. Santos, João & Domingos, Tiago & Sousa, Tânia & St. Aubyn, Miguel, 2016. "Does a small cost share reflect a negligible role for energy in economic production? Testing for aggregate production functions including capital, labor, and useful exergy through a cointegration-base," MPRA Paper 70850, University Library of Munich, Germany.
    18. Mark J Holmes & Jesús Otero & Theodore Panagiotidis, 2018. "Climbing the property ladder: An analysis of market integration in London property prices," Urban Studies, Urban Studies Journal Limited, vol. 55(12), pages 2660-2681, September.
    19. Bierens, H.J. & Broersma, L., 1991. "The relation between unemployment and interest rate : some international evidence," Serie Research Memoranda 0112, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    20. GUO-FITOUSSI, Liang, 2013. "A Comparison of the Finite Sample Properties of Selection Rules of Factor Numbers in Large Datasets," MPRA Paper 50005, University Library of Munich, Germany.

    More about this item

    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:bla:jtsera:v:16:y:1995:i:5:p:493-498. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0143-9782 .

    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.