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Behaviour of Dickey-Fuller F-tests under the trend-break stationary alternative

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  • Sen, Amit

Abstract

We examine the asymptotic behaviour of Dickey and Fuller's (Econometrica 49 (1981) 1057) F-statistics under two different characterizations of the trend-break stationary alternative. While both F-statistics reject the unit root null when the break occurs according to the changing growth model, they may fail to reject the unit root null when the mixed model characterizes the alternative.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:stapro:v:55:y:2001:i:3:p:257-268
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    References listed on IDEAS

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    1. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    2. 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.
    3. 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.
    4. 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.
    5. Leybourne, Stephen J. & Newbold, Paul, 2000. "BEHAVIOR OF DICKEY FULLER t-TESTS WHEN THERE IS A BREAK UNDER THE ALTERNATIVE HYPOTHESIS," Econometric Theory, Cambridge University Press, vol. 16(05), pages 779-789, October.
    6. Montañés, Antonio & Reyes, Marcelo, 1999. "The asymptotic behaviour of the Dickey-Fuller tests under the crash hypothesis," Statistics & Probability Letters, Elsevier, vol. 42(1), pages 81-89, March.
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    Cited by:

    1. repec:sbe:breart:v:29:y:2009:i:1:a:2693 is not listed on IDEAS
    2. Ventosa-Santaulària, Daniel, 2008. "Spurious Regression," MPRA Paper 59008, University Library of Munich, Germany.

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    Keywords

    Unit root Trend-break F-statistic;

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