IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v77y2007i1p63-68.html
   My bibliography  Save this article

On the distribution of Dickey-Fuller unit root statistics when there is a break in the innovation variance

Author

Listed:
  • Sen, Amit

Abstract

We show that Dickey & Fuller's [Distribution of the estimator for autoregressive time series with a unit root. J. Amer. Statist. Assoc. 74, 427-431; Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica 49, 1057-1072] normalized estimator and F-statistics for the unit root null hypothesis will spuriously reject the null hypothesis if there is a break in the innovation variance relatively early in the sample.

Suggested Citation

  • Sen, Amit, 2007. "On the distribution of Dickey-Fuller unit root statistics when there is a break in the innovation variance," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 63-68, January.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:1:p:63-68
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(06)00195-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
    2. Alastair Hall, 1992. "Joint Hypothesis Tests For A Random Walk Based On Instrumental Variable Estimators," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(1), pages 29-45, January.
    3. Kim, Tae-Hwan & Leybourne, Stephen & Newbold, Paul, 2002. "Unit root tests with a break in innovation variance," Journal of Econometrics, Elsevier, vol. 109(2), pages 365-387, August.
    4. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    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. Christoph Hanck & Robert Czudaj, 2013. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," Ruhr Economic Papers 0434, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    2. repec:zbw:rwirep:0434 is not listed on IDEAS
    3. Hanck, Christoph, 2008. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," MPRA Paper 11988, University Library of Munich, Germany.
    4. repec:hok:dpaper:277 is not listed on IDEAS
    5. Hanck, C.H., 2009. "Nonstationary-volatility robust panel unit root tests and the great moderation," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. Costantini, Mauro & Sen, Amit, 2016. "A simple testing procedure for unit root and model specification," Computational Statistics & Data Analysis, Elsevier, vol. 102(C), pages 37-54.
    7. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.

    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. Cavaliere, Giuseppe & Taylor, A.M. Robert, 2007. "Testing for unit roots in time series models with non-stationary volatility," Journal of Econometrics, Elsevier, vol. 140(2), pages 919-947, October.
    2. Ventosa-Santaulária, Daniel & Gómez-Zaldívar, Manuel, 2009. "Broken mean stationarity and the validity of the Dickey-Fuller test: the case of controlled inflation," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 29(1), May.
    3. Daiki Maki, 2015. "Wild bootstrap tests for unit root in ESTAR models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(3), pages 475-490, September.
    4. Gabriel Zsurkis & JoÃo Nicolau & Paulo M. M. Rodrigues, 2021. "A Re‐Examination of Inflation Persistence Dynamics in OECD Countries: A New Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(4), pages 935-959, August.
    5. Hao Jin & Si Zhang & Jinsuo Zhang, 2017. "Spurious regression due to neglected of non-stationary volatility," Computational Statistics, Springer, vol. 32(3), pages 1065-1081, September.
    6. Helmut Herwartz & Florian Siedenburg, 2013. "To converge or not converge: unit labor cost inflation in the Euro area," Empirical Economics, Springer, vol. 44(2), pages 455-467, April.
    7. Brandan K. Beare, 2008. "Unit Root Testing with Unstable Volatility," Economics Series Working Papers 2008-WO6, University of Oxford, Department of Economics.
    8. Cheng, Xu & Phillips, Peter C.B., 2012. "Cointegrating rank selection in models with time-varying variance," Journal of Econometrics, Elsevier, vol. 169(2), pages 155-165.
    9. Su, Jen-Je & Cheung, Adrian (Wai-Kong) & Roca, Eduardo, 2014. "Does Purchasing Power Parity hold? New evidence from wild-bootstrapped nonlinear unit root tests in the presence of heteroskedasticity," Economic Modelling, Elsevier, vol. 36(C), pages 161-171.
    10. Sven Otto, 2021. "Unit root testing with slowly varying trends," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(1), pages 85-106, January.
    11. Brendan K. Beare, 2018. "Unit Root Testing with Unstable Volatility," Journal of Time Series Analysis, Wiley Blackwell, vol. 39(6), pages 816-835, November.
    12. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.
    13. Maki, Daiki, 2008. "The size performance of a nonparametric unit root test under a variance shift," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 743-748, April.
    14. Steven Cook, 2006. "The robustness of modified unit root tests in the presence of GARCH," Quantitative Finance, Taylor & Francis Journals, vol. 6(4), pages 359-363.
    15. Cavaliere, Giuseppe & Rahbek, Anders & Taylor, A.M. Robert, 2010. "Testing for co-integration in vector autoregressions with non-stationary volatility," Journal of Econometrics, Elsevier, vol. 158(1), pages 7-24, September.
    16. D. Ventosa-Santaulària, 2009. "Spurious Regression," Journal of Probability and Statistics, Hindawi, vol. 2009, pages 1-27, August.
    17. Xu, Ke-Li & Phillips, Peter C.B., 2008. "Adaptive estimation of autoregressive models with time-varying variances," Journal of Econometrics, Elsevier, vol. 142(1), pages 265-280, January.
    18. D. Ventosa-Santaul a & M. G -Zald & F. H. Wallace, 2015. "The real exchange rate, regime changes and volatility shifts," Applied Economics, Taylor & Francis Journals, vol. 47(24), pages 2445-2454, May.
    19. Wang, Dabin & Tomek, William G., 2004. "Commodity Prices And Unit Root Tests," 2004 Annual meeting, August 1-4, Denver, CO 20141, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Hanck, Christoph, 2008. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," MPRA Paper 11988, University Library of Munich, Germany.

    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:stapro:v:77:y:2007:i:1:p:63-68. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.