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The behaviour of Dickey-Fuller and Phillips-Perron tests under the alternative hypothesis

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  • STEPHEN J. LEYBOURNE
  • PAUL NEWBOLD

Abstract

The two most commonly applied tests of the null hypothesis of a unit autoregres-sive root in a time series generating process are examined. Simple theoretical calculations, confirmed by simulation evidence, suggest that the probabilities of rejection of the null hy-pothesis of those tests can differ substantially when the true generating process is a stationary second-order autoregression.

Suggested Citation

  • Stephen J. Leybourne & Paul Newbold, 1999. "The behaviour of Dickey-Fuller and Phillips-Perron tests under the alternative hypothesis," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 92-106.
    • Handle: RePEc:ect:emjrnl:v:2:y:1999:i:1:p:92-106
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    Cited by:

    1. George, Halkos & Ilias, Kevork, 2005. "Το Υπόδειγμα Τυχαίου Περιπάτου Με Αυτοπαλίνδρομα Σφάλματα [The random walk model with autoregressive errors]," MPRA Paper 33312, University Library of Munich, Germany.
    2. Ringlund, Guro Bornes & Rosendahl, Knut Einar & Skjerpen, Terje, 2008. "Does oilrig activity react to oil price changes An empirical investigation," Energy Economics, Elsevier, vol. 30(2), pages 371-396, March.
    3. Nielsen, Morten Ørregaard, 2009. "A Powerful Test Of The Autoregressive Unit Root Hypothesis Based On A Tuning Parameter Free Statistic," Econometric Theory, Cambridge University Press, vol. 25(6), pages 1515-1544, December.
    4. Md. Emran Hossain & Ehsan Ullah & Mohd Ziaur Rehman & Mohammad Haseeb & Miguel Angel Esquivias, 2024. "Going Sustainable or Going Extinct: The Consequences of Clean Technologies, Green Finance, and Natural Resources on the Environment," Sustainability, MDPI, vol. 16(14), pages 1-18, July.
    5. Rey, Serge & Varachaud, Pascal, 2000. "Le comportement des taux de change réels européens de la fin Bretton Woods à l’adoption de l’euro [The behavior of European real exchange rates from the Bretton Woods system end to the adoption of ," MPRA Paper 49502, University Library of Munich, Germany.
    6. Nielsen, Morten, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 08-05, Cornell University, Center for Analytic Economics.
    7. George Halkos & Ilias Kevork, 2005. "A comparison of alternative unit root tests," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(1), pages 45-60.
    8. Kyriaki G. Louka & Nektarios A. Michail, 2024. "Oil prices and the euro exchange rate," International Economics and Economic Policy, Springer, vol. 21(4), pages 969-983, October.

    More about this item

    Keywords

    Power comparisons; Unit root tests.;

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