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On the finite-sample size distortion of smooth transition unit root tests

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  • Cook, Steven
  • Vougas, Dimitrios

Abstract

The finite-sample size properties of smooth transition unit root tests are examined when applied to unit root processes subject to breaks in either level or drift. In contrast to the weighted symmetric and recursively mean-adjusted unit root tests which have been shown to be robust in these circumstances, it is found that the empirical sizes of smooth transition tests are dependent upon the form, location and magnitude of the break imposed. It is concluded that while smooth transition unit root tests are capable of capturing breaks under an alternative hypothesis of stationarity, spurious rejection can occur when breaks occur under the null.

Suggested Citation

  • Cook, Steven & Vougas, Dimitrios, 2004. "On the finite-sample size distortion of smooth transition unit root tests," Statistics & Probability Letters, Elsevier, vol. 70(3), pages 175-182, December.
  • Handle: RePEc:eee:stapro:v:70:y:2004:i:3:p:175-182
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    References listed on IDEAS

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    1. 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.
    2. Stephen J. Leybourne And Paul Newbold, 2000. "Behaviour of the standard and symmetric Dickey-Fuller-type tests when there is a break under the null hypothesis," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 1-15.
    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. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    5. Cook, Steven, 2002. "Correcting size distortion of the Dickey-Fuller test via recursive mean adjustment," Statistics & Probability Letters, Elsevier, vol. 60(1), pages 75-79, November.
    6. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
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    Cited by:

    1. Vougas, Dimitrios V., 2006. "On unit root testing with smooth transitions," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 797-800, November.
    2. P. S. Sephton, 2010. "Unit roots and purchasing power parity: another kick at the can," Applied Economics, Taylor & Francis Journals, vol. 42(27), pages 3439-3453.

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