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Rejection Probabilities for a Battery of Unit-Root Tests

Author

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  • 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.

Suggested Citation

  • Maican, Florin G. & Sweeney, Richard J., 2013. "Rejection Probabilities for a Battery of Unit-Root Tests," Working Papers in Economics 568, University of Gothenburg, Department of Economics.
    • Handle: RePEc:hhs:gunwpe:0568
    as

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    File URL: http://hdl.handle.net/2077/32930
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    References listed on IDEAS

    as
    1. 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(2), pages 422-456, April.
    2. 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.
    3. Florin G. Maican & Richard J. Sweeney, 2014. "Costs of misspecification in break-model unit-root tests," Applied Economics, Taylor & Francis Journals, vol. 46(1), pages 111-118, January.
    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. 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.
    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. 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.
    8. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    9. Pierre Perron, 1994. "Trend, Unit Root and Structural Change in Macroeconomic Time Series," Palgrave Macmillan Books, in: B. Bhaskara Rao (ed.), Cointegration, chapter 4, pages 113-146, Palgrave Macmillan.
    10. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2009. "Unit Root Testing In Practice: Dealing With Uncertainty Over The Trend And Initial Condition," Econometric Theory, Cambridge University Press, vol. 25(3), pages 587-636, June.
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    More about this item

    Keywords

    Real Exchange Rates; Unit root; Monte Carlo; Break models;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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