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Testing of unit roots and other fractionally integrated hypotheses in the presence of structural breaks

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  • Gil-Alaña, Luis A.

Abstract

Tests for unit roots and other nonstationary hypotheses that were proposed by Robinson (1994) are applied in this article to the Nelson and Plosser's (1982) series. The tests can be expressed in a way allowing for structural breaks under both the null and the alternative hypotheses. When applying the tests to the same dataset as in Perron (1989) we observe that our results might be consistent with them when testing the nulls of trendstationarity or a unit-root. However, we also observe that fractionally integrated hypotheses may be plausible alternatives in this context of structural breaks at a known period of time.

Suggested Citation

  • Gil-Alaña, Luis A., 2000. "Testing of unit roots and other fractionally integrated hypotheses in the presence of structural breaks," SFB 373 Discussion Papers 2000,13, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:200013
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    References listed on IDEAS

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    1. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-250, July.
    2. Demery, D & Duck, N W, 1992. "Are Economic Fluctuations Really Persistent? A Reinterpretation of Some International Evidence," Economic Journal, Royal Economic Society, vol. 102(414), pages 1094-1101, September.
    3. Krol, Robert, 1992. "Trends, Random Walks and Persistence: An Empirical Study of Disaggregated U.S. Industrial Production," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 154-159, February.
    4. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    5. 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.
    6. Apostolos Serletis, 1992. "The Random Walk in Canadian Output," Canadian Journal of Economics, Canadian Economics Association, vol. 25(2), pages 392-406, May.
    7. Terence C. Mills, 1994. "Infrequent Permanent Shocks And The Unit Root In Quarterly Uk Output," Bulletin of Economic Research, Wiley Blackwell, vol. 46(1), pages 91-94, January.
    8. 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.
    9. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
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    Cited by:

    1. Gadea, Maria Dolores & Sabate, Marcela & Serrano, Jose Maria, 2004. "Structural breaks and their trace in the memory: Inflation rate series in the long-run," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 14(2), pages 117-134, April.

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    Keywords

    unit roots; long memory; structural breaks;

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