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

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  • Sen, Amit
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    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.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-442Y67R-4/2/652f7688b4954120942581f59c729ac1
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 55 (2001)
    Issue (Month): 3 (December)
    Pages: 257-268

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    Handle: RePEc:eee:stapro:v:55:y:2001:i:3:p:257-268

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    Keywords: Unit root Trend-break F-statistic;

    References

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    1. Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
    2. 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.
    3. 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.
    4. 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.
    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. 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 1057-72, June.
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