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Testing for multiple level shifts in I(0) and I(1) stochastic processes

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  • Josep Lluís Carrion-i-Silvestre
  • Maria Dolores Gadea

Abstract

The paper analyzes the detection and estimation of multiple level shifts regardless of the order of integration of the time series. We show that it is possible to extend the sequential testing procedure of Bai and Perron (1998) to the I(1) non-stationary case so that a unified framework based on this approach can be applied. The performance of the test statistic is carried out, establishing a comparison with other existing proposals in the literature.Developing of a sup test statistic for detecting multiple leve shifts for I(1) processes.Simulations are reported on the finite sample performance of the statistic. Further details in the uploaded paper.

Suggested Citation

  • Josep Lluís Carrion-i-Silvestre & Maria Dolores Gadea, 2015. "Testing for multiple level shifts in I(0) and I(1) stochastic processes," EcoMod2015 8702, EcoMod.
    • Handle: RePEc:ekd:008007:8702
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    References listed on IDEAS

    as
    1. Kejriwal, Mohitosh & Perron, Pierre, 2010. "Testing for Multiple Structural Changes in Cointegrated Regression Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(4), pages 503-522.
    2. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2010. "Robust methods for detecting multiple level breaks in autocorrelated time series," Journal of Econometrics, Elsevier, vol. 157(2), pages 342-358, August.
    3. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    4. 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.
    5. Perron, Pierre & Yabu, Tomoyoshi, 2009. "Testing for Shifts in Trend With an Integrated or Stationary Noise Component," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(3), pages 369-396.
    6. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    7. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    8. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    9. Montañés, 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(3), pages 355-363, June.
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    Keywords

    No empirical application in the paper.; Macroeconometric modeling; Modeling: new developments;
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