IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v12y2005i4p203-206.html
   My bibliography  Save this article

Estimating the autoregressive parameter: recursive mean adjustment and the initial condition

Author

Listed:
  • Steven Cook

Abstract

The simulation results of Shin and So (2001) are revisited. It is shown that the properties of the initial condition of a time series have a substantial impact on the ability of recursive mean adjustment to reduce the negative bias associated with estimation of the autoregressive parameter. Interestingly, it is found that recursive mean adjustment can generate positive bias for a range of values of the initial condition.

Suggested Citation

  • Steven Cook, 2005. "Estimating the autoregressive parameter: recursive mean adjustment and the initial condition," Applied Economics Letters, Taylor & Francis Journals, vol. 12(4), pages 203-206.
  • Handle: RePEc:taf:apeclt:v:12:y:2005:i:4:p:203-206
    DOI: 10.1080/1350485052000337761
    as

    Download full text from publisher

    File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/1350485052000337761&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/1350485052000337761?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. Dong Wan Shin & Beong Soo So, 2001. "recursive Mean Adjustment for Unit Root Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(5), pages 595-612, September.
    2. Leybourne, S J, 1995. "Testing for Unit Roots Using Forward and Reverse Dickey-Fuller Regressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(4), pages 559-571, November.
    3. 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.
    4. repec:ebl:ecbull:v:3:y:2004:i:11:p:1-9 is not listed on IDEAS
    5. Steven Cook, 2004. "On the finite-sample power of modified Dickey-Fuller tests: The role of the initial condition," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-9.
    6. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-459, October.
    7. Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, July.
    8. Heon Jin Park & Wayne A. Fuller, 1995. "Alternative Estimators And Unit Root Tests For The Autoregressive Process," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(4), pages 415-429, July.
    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. Cook, Steven, 2008. "Joint maximum likelihood estimation of unit root testing equations and GARCH processes: Some finite-sample issues," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 109-116.
    2. repec:ebl:ecbull:v:3:y:2004:i:11:p:1-9 is not listed on IDEAS
    3. 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.
    4. Cook, Steven, 2003. "Modified unit root tests and momentum threshold autoregressive processes," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 83-88, August.
    5. Steven Cook, 2004. "On the finite-sample power of modified Dickey-Fuller tests: The role of the initial condition," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-9.
    6. Christoph Hanck, 2012. "Multiple unit root tests under uncertainty over the initial condition: some powerful modifications," Statistical Papers, Springer, vol. 53(3), pages 767-774, August.
    7. Tilak Abeysinghe & Gulasekaran Rajaguru, 2009. "A Gaussian Test for Cointegration," Microeconomics Working Papers 22013, East Asian Bureau of Economic Research.
    8. Steven Cook, 2003. "The nonstationarity of the consumption-income ratio: Evidence from more powerful Dickey-Fuller tests," Applied Economics Letters, Taylor & Francis Journals, vol. 10(7), pages 393-395.
    9. Stephen Leybourne & Tae‐Hwan Kim & Paul Newbold, 2005. "Examination of Some More Powerful Modifications of the Dickey–Fuller Test," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(3), pages 355-369, May.
    10. Cook, Steven, 2004. "A momentum-threshold autoregressive unit root test with increased power," Statistics & Probability Letters, Elsevier, vol. 67(4), pages 307-310, May.
    11. Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Marina (Турунцева, Марина), 2017. "Testing the Hypothesis of a Unit Root for Independent Panels [Тестирование Гипотезы О Наличии Единичного Корня Для Независимых Панелей]," Working Papers 021707, Russian Presidential Academy of National Economy and Public Administration.
    12. Filippo di Mauro & L. Vanessa Smith & Stephane Dees & M. Hashem Pesaran, 2007. "Exploring the international linkages of the euro area: a global VAR analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 1-38.
    13. Rodrigues, Paulo M. M. & Taylor, A. M. Robert, 2004. "Alternative estimators and unit root tests for seasonal autoregressive processes," Journal of Econometrics, Elsevier, vol. 120(1), pages 35-73, May.
    14. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    15. Pesaran, M. Hashem & Vanessa Smith, L. & Yamagata, Takashi, 2013. "Panel unit root tests in the presence of a multifactor error structure," Journal of Econometrics, Elsevier, vol. 175(2), pages 94-115.
    16. Alessandro Rebucci & Ambrogio Cesa-Bianchi & M. Hashem Pesaran & TengTeng Xu, 2012. "China's Emergence in the World Economy and Business Cycles in Latin America," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Spring 20), pages 1-75, January.
    17. Stephan Smeekes, 2013. "Detrending Bootstrap Unit Root Tests," Econometric Reviews, Taylor & Francis Journals, vol. 32(8), pages 869-891, November.
    18. Jerry Coakley & Stuart Snaith, 2004. "Testing for Long Run Relative PPP in Europe," Money Macro and Finance (MMF) Research Group Conference 2004 34, Money Macro and Finance Research Group.
    19. Steven Cook, 2003. "Empirical evidence on the robustness of the weighted symmetric unit root test," Applied Economics Letters, Taylor & Francis Journals, vol. 10(12), pages 761-763.
    20. Taipalus, Katja, 2012. "Signaling asset price bubbles with time-series methods," Research Discussion Papers 7/2012, Bank of Finland.
    21. Meng, Ming & Lee, Hyejin & Cho, Myeong Hyeon & Lee, Junsoo, 2013. "Impacts of the initial observation on unit root tests using recursive demeaning and detrending procedures," Economics Letters, Elsevier, vol. 120(2), pages 195-199.

    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:12:y:2005:i:4:p:203-206. 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.