IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-06c20065.html
   My bibliography  Save this article

On the Distribution of the Break-Date Estimator Implied by the Perron-Type Statistics When the Form of Break is Misspecified

Author

Listed:
  • Amit Sen

    (Xavier University)

Abstract

Montañés, Olloqui, and Calvo (2005, Journal of Econometrics) argue that use of the Perron-type minimum t-statistics will lead the practitioner to incorrectly assess the time series properties of the variable under investigation when the form of break is misspecified. However, their simulations do not provide insight into the distribution of the estimated break-date implied by the unknown break-date Perron-type statistics when the form of break is misspecified. Using finite sample simulations, we show that the break-date implied by the Mixed model will tend to estimate the break-date consistently even when the form of break is misspecified. The practitioner should, therefore, use the Mixed model as the appropriate trend-break stationary alternative when testing for a unit root with an endogenous break-date.

Suggested Citation

  • Amit Sen, 2007. "On the Distribution of the Break-Date Estimator Implied by the Perron-Type Statistics When the Form of Break is Misspecified," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-19.
  • Handle: RePEc:ebl:ecbull:eb-06c20065
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2007/Volume3/EB-06C20065A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    2. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    3. Sen, Amit, 2003. "On Unit-Root Tests When the Alternative Is a Trend-Break Stationary Process," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 174-184, January.
    4. Montanes, Antonio & Olloqui, Irene & Calvo, Elena, 2005. "Selection of the break in the Perron-type tests," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 41-64.
    5. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    6. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-250, July.
    7. Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
    8. Montañés, Antonio & Reyes, Marcelo, 1998. "Effect Of A Shift In The Trend Function On Dickey–Fuller Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 14(3), pages 355-363, June.
    9. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    10. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    11. 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.
    12. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    13. Montañés, Antonio & Reyes, Marcelo, 1999. "The asymptotic behaviour of the Dickey-Fuller tests under the crash hypothesis," Statistics & Probability Letters, Elsevier, vol. 42(1), pages 81-89, March.
    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. repec:ebl:ecbull:v:3:y:2007:i:6:p:1-19 is not listed on IDEAS
    2. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    3. Skrobotov, Anton, 2020. "Survey on structural breaks and unit root tests," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 58, pages 96-141.
    4. Kim, Dukpa & Perron, Pierre, 2009. "Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses," Journal of Econometrics, Elsevier, vol. 148(1), pages 1-13, January.
    5. Paulo M. M. Rodrigues, 2013. "Recursive adjustment, unit root tests and structural breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(1), pages 62-82, January.
    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. Montanes, Antonio & Olloqui, Irene & Calvo, Elena, 2005. "Selection of the break in the Perron-type tests," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 41-64.
    8. Monojit Chatterji & Homagni Choudhury, 2010. "Growth Rate Estimation in the presence of Unit Roots," Dundee Discussion Papers in Economics 245, Economic Studies, University of Dundee.
    9. John Dawson & Amit Sen, 2007. "New evidence on the convergence of international income from a group of 29 countries," Empirical Economics, Springer, vol. 33(2), pages 199-230, September.
    10. Brittle, Shane, 2009. "Ricardian Equivalence and the Efficacy of Fiscal Policy in Australia," Economics Working Papers wp09-10, School of Economics, University of Wollongong, NSW, Australia.
    11. Darne, Olivier & Diebolt, Claude, 2004. "Unit roots and infrequent large shocks: new international evidence on output," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1449-1465, October.
    12. Monojit Chatterji & Homagni Choudhury, 2010. "The Changing Inter-Industry Wage Structure of the Organised Manufacturing Sector in India, 1973-74 to 2003-04," Dundee Discussion Papers in Economics 244, Economic Studies, University of Dundee.
    13. Ikerne del Valle & Jordi Guillen & Kepa Astorkiza, 2017. "Substituting hake with sardines? Economic crisis and fish demand in Spain," Agribusiness, John Wiley & Sons, Ltd., vol. 33(4), pages 600-610, September.
    14. Verma, R. & Wilson, E.J., 2005. "Savings, Investment, Foreign Inflows and Economic Growth of the Indian Economy 1950-2001," Economics Working Papers wp05-23, School of Economics, University of Wollongong, NSW, Australia.
    15. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
    16. Russo, Emanuele & Foster-McGregor, Neil & Verspagen, Bart, 2019. "Characterizing growth instability: new evidence on unit roots and structural breaks in long run time series," MERIT Working Papers 2019-026, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    17. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, December.
    18. Brodsky, Boris, 2008. "Structural Changes and Unit Roots: Distinguishing Models of Nonstationary Time Series," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 11(3), pages 52-63.
    19. Gary L. Shelley & Frederick H. Wallace, 2004. "Testing for Long Run Neutrality of Money in Mexico," Macroeconomics 0402003, University Library of Munich, Germany.
    20. Paresh Kumar Narayan, 2005. "New evidence on purchasing power parity from 17 OECD countries," Applied Economics, Taylor & Francis Journals, vol. 37(9), pages 1063-1071.
    21. Marashdeh, Hazem & Wilson, E.J., 2005. "Structural Changes in the Middle East Stock Markets: The case of Israel and Arab Countries," Economics Working Papers wp05-22, School of Economics, University of Wollongong, NSW, Australia.

    More about this item

    Keywords

    Break-Date;

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

    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:ebl:ecbull:eb-06c20065. 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: John P. Conley (email available below). General contact details of provider: .

    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.