IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v11y2004i14p855-860.html
   My bibliography  Save this article

Exact distribution and critical values of a unit root test in the presence of change in variance

Author

Listed:
  • Kazuhiro Ohtani

Abstract

This paper, using the Imhof (1961) method, shows the method of evaluating numerically the exact distribution of a unit root test statistic when the error variance changes. Based on the method, the effect of the change in variance on the exact distribution is examined, and we tabulate numerically exact critical values when the sample size is small and moderate.

Suggested Citation

  • Kazuhiro Ohtani, 2004. "Exact distribution and critical values of a unit root test in the presence of change in variance," Applied Economics Letters, Taylor & Francis Journals, vol. 11(14), pages 855-860.
    • Handle: RePEc:taf:apeclt:v:11:y:2004:i:14:p:855-860
    DOI: 10.1080/1350485042000261270
    as

    Download full text from publisher

    File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/1350485042000261270&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/1350485042000261270?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. 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. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    3. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    4. Evans, G B A & Savin, N E, 1981. "Testing for Unit Roots: 1," Econometrica, Econometric Society, vol. 49(3), pages 753-779, May.
    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. Junya Masuda & Kazuhiro Ohtani, 2008. "Exact distribution and critical values of a unit root test when error terms are serially correlated," Applied Economics Letters, Taylor & Francis Journals, vol. 15(5), pages 359-362.

    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. Irvin Tucker, 2004. "Pigskins and publications revisited," Applied Economics Letters, Taylor & Francis Journals, vol. 11(13), pages 843-845.
    2. Aparicio, Felipe M. & García, Ana, 2003. "Range unit root tests," DES - Working Papers. Statistics and Econometrics. WS ws031126, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Jürgen Wolters & Uwe Hassler, 2006. "Unit root testing," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 43-58, March.
    4. 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.
    5. 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.
    6. 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.
    7. Fiteni, Inmaculada, 2004. "[tau]-estimators of regression models with structural change of unknown location," Journal of Econometrics, Elsevier, vol. 119(1), pages 19-44, March.
    8. Utku Utkulu & Durmus Özdemir, 2005. "Does Trade Liberalization Cause a Long Run Economic Growth in Turkey," Economic Change and Restructuring, Springer, vol. 37(3), pages 245-266, September.
    9. Cati, Regina Celia & Garcia, Marcio G P & Perron, Pierre, 1999. "Unit Roots in the Presence of Abrupt Governmental Interventions with an Application to Brazilian Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(1), pages 27-56, Jan.-Feb..
    10. 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.
    11. Utku Utkulu & Dilek Seymen, 2004. "Trade and Competitiveness Between Turkey and the EU: Time Series Evidence," Working Papers 2004/8, Turkish Economic Association, revised Mar 2004.
    12. Shin, Dong Wan & Sarkar, Sahadeb & Lee, Jong Hyup, 1996. "Unit root tests for time series with outliers," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 189-197, October.
    13. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    14. Joshua G. Maples & B. Wade Brorsen, 2022. "Handling the discontinuity in futures prices when time series modeling of commodity cash and futures prices," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 70(2), pages 139-152, June.
    15. Perron, Pierre & Vogelsang, Timothy J., 1993. "A Note on the Asymptotic Distributions of Unit Root Tests in the Additive Outlier Model With Breaks," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 13(2), November.
    16. Subrata Ghatak & Stephen Price, 1997. "Export composition and economic growth: Cointegration and causality evidence for India," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 133(3), pages 538-553, September.
    17. Lanne, Markku & Lutkepohl, Helmut, 2002. "Unit root tests for time series with level shifts: a comparison of different proposals," Economics Letters, Elsevier, vol. 75(1), pages 109-114, March.
    18. Tumala, Mohammed M. & Atoi, Ngozi V. & Karimo, Tari M., 2023. "Returns and Volatility Spillover between Nigeria and Selected Global Stock Markets: A Diebold-Yilmaz Approach," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 76(2), pages 173-208.
    19. Lee, Jim, 1996. "Testing for a unit root in time series with trend breaks," Journal of Macroeconomics, Elsevier, vol. 18(3), pages 503-519.
    20. Nelson, Charles R & Piger, Jeremy & Zivot, Eric, 2001. "Markov Regime Switching and Unit-Root Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 404-415, October.

    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:taf:apeclt:v:11:y:2004:i:14:p:855-860. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEL20 .

    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.