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Analyzing Unit Root Tests in Finite Samples Using Power Profiles


  • Kilian, L.
  • Caner, M.


This study analyzes the size and power of tests of the null of stationarity against the unit root alternative. Existing evidence is limited to processes with roots between 0 and 0.7. In sharp contrast, virtually all applications of economic interest involve null hypotheses much closer to 1. We focus on the Leybourne and McCabe (1994) test because of its superior small-sample properties. We document that conventional asymptotic critical values for this test are inappropriate in small samples, and we provide finite-sample critical values for the economically relevant range of parameter values and sample sizes. Using power profiles, we show that it is very difficult to obtain meaningful results, even with large samples.

Suggested Citation

  • Kilian, L. & Caner, M., 1998. "Analyzing Unit Root Tests in Finite Samples Using Power Profiles," Papers 98-05, Michigan - Center for Research on Economic & Social Theory.
  • Handle: RePEc:fth:michet:98-05

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    References listed on IDEAS

    1. Homans, Frances R. & Wilen, James E., 2000. "Market Rent Dissipation In Regulated Open Access Fisheries," 2000 Annual meeting, July 30-August 2, Tampa, FL 21878, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 11(3), pages 311-325, August.
    3. Tornell, Aaron & Velasco, Andes, 1992. "The Tragedy of the Commons and Economic Growth: Why Does Capital Flow from Poor to Rich Countries?," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1208-1231, December.
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    5. Sinn, Hans-Werner, 1984. "Common Property Resources, Storage Facilities and Ownership Structures: A Cournot Model of the Oil Market," Economica, London School of Economics and Political Science, vol. 51(23), pages 235-252, August.
    6. Flood, Robert & Marion, Nancy, 1999. "Perspectives on the Recent Currency Crisis Literature," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(1), pages 1-26, January.
    7. Angelsen, Arild, 1999. "Agricultural expansion and deforestation: modelling the impact of population, market forces and property rights," Journal of Development Economics, Elsevier, vol. 58(1), pages 185-218, February.
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    9. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
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    Cited by:

    1. Meier Carsten-Patrick, 2001. "Trend und Zyklus im Bruttoinlandsprodukt der Bundesrepublik Deutschland. Eine Anmerkung / Trends and Cycles in Germany’s Real Gross Domestic Product. A Note," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 221(2), pages 168-178, April.
    2. Meier, Carsten-Patrick, 2000. "Trend und Zyklus im Bruttoinlandsprodukt der Bundesrepublik Deutschland - eine Anmerkung," Kiel Working Papers 993, Kiel Institute for the World Economy (IfW).

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    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes


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