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

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  • Montañés, Antonio
  • Reyes, Marcelo

Abstract

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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Bibliographic Info

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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Related research

Keywords: Unit root Crash hypothesis Wiener processes;

References

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  1. Lucrezia Reichlin & Peter Rappoport, 1989. "Segmented trends and non-stationary time series," ULB Institutional Repository 2013/10169, ULB -- Universite Libre de Bruxelles.
  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. Eric Zivot & Donald W.K. Andrews, 1990. "Further Evidence on the Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Cowles Foundation Discussion Papers 944, Cowles Foundation for Research in Economics, Yale University.
  4. Schwert, G William, 1989. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(2), pages 147-59, April.
  5. Anindya Banerjee & Robin L. Lumsdaine & James H. Stock, 1990. "Recursive and Sequential Tests of the Unit Root and Trend Break Hypothesis: Theory and International Evidence," NBER Working Papers 3510, National Bureau of Economic Research, Inc.
  6. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-20, July.
  7. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
  8. Perron, P., 1989. "Testing For A Unit Root In A Time Series With A Changing Mean," Papers 347, Princeton, Department of Economics - Econometric Research Program.
  9. 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.
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Citations

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Cited by:
  1. Artur C. B. da Silva Lopes & Antonio Montañés, 2004. "The Behavior of HEGY Tests for Quarterly Time Series with Seasonal Mean Shifts," Econometrics 0411010, EconWPA.
  2. Brodsky, Boris, 2008. "Structural Changes and Unit Roots: Distinguishing Models of Nonstationary Time Series," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 11(3), pages 52-63.
  3. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2012. "Unit roots, nonlinearities and structural breaks," CREATES Research Papers 2012-14, School of Economics and Management, University of Aarhus.
  4. Amit Sen, 2007. "On the Distribution of the Break-Date Estimator Implied by the Perron-Type Statistics When the Form of Break is Misspecified," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-19.
  5. Sen, Amit, 2008. "Behaviour of Dickey-Fuller tests when there is a break under the unit root null hypothesis," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 622-628, April.
  6. Clemente, Jesus & Lanaspa, Luis & Montañés, Antonio, 2002. "The unemployment structure of the US States," ERSA conference papers ersa02p081, European Regional Science Association.
  7. Montañés, Antonio & Reyes, Marcelo, 2000. "Structural breaks, unit roots and methods for removing the autocorrelation pattern," Statistics & Probability Letters, Elsevier, vol. 48(4), pages 401-409, July.
  8. repec:ebl:ecbull:v:3:y:2007:i:6:p:1-19 is not listed on IDEAS
  9. Psaradakis, Zacharias, 2002. "On the asymptotic behaviour of unit-root tests in the presence of a Markov trend," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 101-109, March.
  10. Mohitosh Kejriwal & Pierre Perron, 2006. "Unit Root Tests Allowing for a Break in the Trend Function at an Unknown Time Under Both the Null and Alternative Hypotheses," Boston University - Department of Economics - Working Papers Series WP2006-052, Boston University - Department of Economics.
  11. Sen, Amit, 2001. "Behaviour of Dickey-Fuller F-tests under the trend-break stationary alternative," Statistics & Probability Letters, Elsevier, vol. 55(3), pages 257-268, December.

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