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Bias Correction of KPSS Test with Structural Break for Reducing of Size Distortion


  • Anton Skrobotov

    (Gaidar Institute for Economic Policy)


In this paper we extend the stationarity test proposed by Kurozumi and Tanaka (2010) to reduce size distortion with one structural break in data generating process. We nd the bias up to the order of 1=T for four types of models containing structural breaks. Simulations on fininite samples show a decrease of size distortions relative to other tests, thus receiving higher power.

Suggested Citation

  • Anton Skrobotov, 2012. "Bias Correction of KPSS Test with Structural Break for Reducing of Size Distortion," Working Papers 0043, Gaidar Institute for Economic Policy, revised 2013.
  • Handle: RePEc:gai:wpaper:0043

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    References listed on IDEAS

    1. Carrion-i-Silvestre, Josep LluĂ­s & Kim, Dukpa & Perron, Pierre, 2009. "Gls-Based Unit Root Tests With Multiple Structural Breaks Under Both The Null And The Alternative Hypotheses," Econometric Theory, Cambridge University Press, vol. 25(06), pages 1754-1792, December.
    2. Perron, Pierre & Zhu, Xiaokang, 2005. "Structural breaks with deterministic and stochastic trends," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 65-119.
    3. David I. Harvey & Terence C. Mills, 2003. "A Note On Busetti-Harvey Tests For Stationarity In Series With Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 159-164, March.
    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. Fabio Busetti & Andrew Harvey, 2003. "Further Comments On Stationarity Tests In Series With Structural Breaks At Unknown Points," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 137-140, March.
    6. Eiji Kurozumi & Shinya Tanaka, 2010. "Reducing the size distortion of the KPSS test," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(6), pages 415-426, November.
    7. Lee, Junsoo & Huang, Cliff J. & Shin, Yongcheol, 1997. "On stationary tests in the presence of structural breaks," Economics Letters, Elsevier, vol. 55(2), pages 165-172, August.
    8. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
    9. Junsoo Lee & Mark Strazicich, 2001. "Testing the null of stationarity in the presence of a structural break," Applied Economics Letters, Taylor & Francis Journals, vol. 8(6), pages 377-382.
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    More about this item


    Stationarity tests; KPSS test; bias correction; size distortion; structural break.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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