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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. 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(06), pages 1515-1544, December.
    3. Morten Ørregaard Nielsen, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 1175, Queen's University, Department of Economics.
    4. 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.
    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.

    More about this item

    Keywords

    Power comparisons; Unit root tests.;

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