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On the distribution of Dickey-Fuller unit root statistics when there is a break in the innovation variance

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  • Sen, Amit

Abstract

We show that Dickey & Fuller's [Distribution of the estimator for autoregressive time series with a unit root. J. Amer. Statist. Assoc. 74, 427-431; Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica 49, 1057-1072] normalized estimator and F-statistics for the unit root null hypothesis will spuriously reject the null hypothesis if there is a break in the innovation variance relatively early in the sample.

Suggested Citation

  • Sen, Amit, 2007. "On the distribution of Dickey-Fuller unit root statistics when there is a break in the innovation variance," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 63-68, January.
  • Handle: RePEc:eee:stapro:v:77:y:2007:i:1:p:63-68
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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. Kim, Tae-Hwan & Leybourne, Stephen & Newbold, Paul, 2002. "Unit root tests with a break in innovation variance," Journal of Econometrics, Elsevier, vol. 109(2), pages 365-387, August.
    3. Hamori, Shigeyuki & Tokihisa, Akira, 1997. "Testing for a unit root in the presence of a variance shift1," Economics Letters, Elsevier, vol. 57(3), pages 245-253, December.
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    Cited by:

    1. Costantini, Mauro & Sen, Amit, 2016. "A simple testing procedure for unit root and model specification," Computational Statistics & Data Analysis, Elsevier, vol. 102(C), pages 37-54.
    2. Christoph Hanck & Robert Czudaj, 2013. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," Ruhr Economic Papers 0434, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    3. repec:zbw:rwirep:0434 is not listed on IDEAS
    4. Hanck, Christoph, 2008. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," MPRA Paper 11988, University Library of Munich, Germany.
    5. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(2), pages 161-187, April.
    6. Kalenga, John Ngoy, 2014. "Mine safety and Industrial accidents at the Générale des Carrières et des Mines, in Katanga, Democratic Republic of Congo," Discussion paper series. A 277, Graduate School of Economics and Business Administration, Hokkaido University.

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