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Rejection Probabilities for a Battery of Unit-Root Tests

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Author Info

  • Maican, Florin G.

    ()
    (Department of Economics, School of Business, Economics and Law, Göteborg University)

  • Sweeney, Richard J.

    (Georgetown University, Washington, D.C.)

Abstract

If the researcher tests each model in a battery at the a % significance level, the probability that at least one test rejects is generally larger than a %. For five unit-root models, this paper uses Monte Carlo simulation and the inclusion-exclusion principle to show for a %=5% for each test, the probability that at least one test rejects is 16.2% rather than the upper-bound of 25% from the Bonferroni inequality. It also gives estimated probabilities that any combination two, three, four or five models all reject.

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File URL: http://hdl.handle.net/2077/32930
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Bibliographic Info

Paper provided by University of Gothenburg, Department of Economics in its series Working Papers in Economics with number 568.

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Length: 13 pages
Date of creation: 03 Jun 2013
Date of revision:
Handle: RePEc:hhs:gunwpe:0568

Contact details of provider:
Postal: Department of Economics, School of Business, Economics and Law, University of Gothenburg, Box 640, SE 405 30 GÖTEBORG, Sweden
Phone: 031-773 10 00
Web page: http://www.handels.gu.se/econ/
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Related research

Keywords: Real Exchange Rates; Unit root; Monte Carlo; Break models;

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References

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  1. Perron, P., 1994. "Further Evidence on Breaking Trend Functions in Macroeconomic Variables," Cahiers de recherche 9421, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Smeekes, Stephan & Taylor, A.M. Robert, 2012. "Bootstrap Union Tests For Unit Roots In The Presence Of Nonstationary Volatility," Econometric Theory, Cambridge University Press, vol. 28(02), pages 422-456, April.
  3. 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.
  4. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
  5. Maican, Florin G. & Sweeney, Richard J., 2013. "Real exchange rate adjustment in European transition countries," Journal of Banking & Finance, Elsevier, vol. 37(3), pages 907-926.
  6. Montanes, Antonio & Olloqui, Irene & Calvo, Elena, 2005. "Selection of the break in the Perron-type tests," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 41-64.
  7. 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.
  8. Maican, Florin G. & Sweeney, Richard J., 2012. "Cost of Misspecification in Break-Model Unit-Root Tests," Working Papers in Economics 536, University of Gothenburg, Department of Economics.
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