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The KPSS Test with Seasonal Dummies

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Abstract

It is shown that the KPSS test for stationarity may be applied without change to regressions with seasonal dummies. In particular, the limit distribution of the KPSS statistic is the same under both the null and alternative hypotheses whether or not seasonal dummies are used.

Suggested Citation

  • Sainan Jin & Peter C.B. Phillips, 2002. "The KPSS Test with Seasonal Dummies," Cowles Foundation Discussion Papers 1373, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1373
    Note: CFP 1132.
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d13/d1373.pdf
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    References listed on IDEAS

    as
    1. Lyhagen, Johan, 2000. "The seasonal KPSS statistic," SSE/EFI Working Paper Series in Economics and Finance 354, Stockholm School of Economics.
    2. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    3. Taylor, A.M.R., 1999. "Locally Optimal Tests Against Seasonal Unit Roots," Discussion Papers 99-12, Department of Economics, University of Birmingham.
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    Cited by:

    1. Joseph Ross, 2021. "Stationarity Statistics on Rolling Windows," Computational Economics, Springer;Society for Computational Economics, vol. 57(2), pages 655-691, February.
    2. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
    3. Halunga, Andreea G. & Osborn, Denise R. & Sensier, Marianne, 2009. "Changes in the order of integration of US and UK inflation," Economics Letters, Elsevier, vol. 102(1), pages 30-32, January.
    4. Lujia Bai & Weichi Wu, 2021. "Detecting long-range dependence for time-varying linear models," Papers 2110.08089, arXiv.org, revised Mar 2023.
    5. Choudhry, Taufiq, 2003. "Stock market volatility and the US consumer expenditure," Journal of Macroeconomics, Elsevier, vol. 25(3), pages 367-385, September.
    6. Vasilii Erokhin & Tianming Gao, 2020. "Impacts of COVID-19 on Trade and Economic Aspects of Food Security: Evidence from 45 Developing Countries," IJERPH, MDPI, vol. 17(16), pages 1-28, August.
    7. Andrew Harvey & Stephen Thiele, 2021. "Cointegration and control: Assessing the impact of events using time series data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(1), pages 71-85, January.
    8. Natasha Kang, Da & Marmer, Vadim, 2024. "Modeling long cycles," Journal of Econometrics, Elsevier, vol. 242(1).
    9. Matei Demetrescu & Uwe Hassler, 2007. "Effect of neglected deterministic seasonality on unit root tests," Statistical Papers, Springer, vol. 48(3), pages 385-402, September.
    10. Josep Carrion-i-Silvestre & Andreu Sansó, 2006. "A guide to the computation of stationarity tests," Empirical Economics, Springer, vol. 31(2), pages 433-448, June.

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    More about this item

    Keywords

    KPSS test; Seasonal dummies; Stationarity test; Unit root;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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