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The asymptotic behaviour of the Dickey-Fuller tests under the crash hypothesis

  • Montañés, Antonio
  • Reyes, Marcelo

This paper considers the behaviour of the Dickey-Fuller tests when the variable being studied is generated according to Perron's (1989) crash hypothesis. We show that these statistics tend towards the Dickey-Fuller distributions under the null hypothesis and diverge towards -[infinity] under the alternative.

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Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 42 (1999)
Issue (Month): 1 (March)
Pages: 81-89

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Handle: RePEc:eee:stapro:v:42:y:1999:i:1:p:81-89
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  1. Monta s, 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(03), pages 355-363, June.
  2. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-50, July.
  3. 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 271-87, July.
  4. G. William Schwert, 1988. "Tests For Unit Roots: A Monte Carlo Investigation," NBER Technical Working Papers 0073, National Bureau of Economic Research, Inc.
  5. 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.
  6. Lucrezia Reichlin & Peter Rappoport, 1989. "Segmented trends and non-stationary time series," ULB Institutional Repository 2013/10169, ULB -- Universite Libre de Bruxelles.
  7. Vogelsang, T.I. & Perron, P., 1991. "Nonstationary and Level Shifts With An Application To Purchasing Power Parity," Papers 359, Princeton, Department of Economics - Econometric Research Program.
  8. 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.
  9. 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 153-62, April.
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