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Testing for Seasonal Unit Roots in Monthly Panels of Time Series

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  • Robert M. Kunst
  • Philip Hans Franses

Abstract

We consider the problem of testing for seasonal unit roots in monthly panel data. To this aim, we generalize the quarterly CHEGY test to the monthly case. This parametric test is contrasted with a new nonparametric test, which is the panel counterpart to the univariate RURS test that relies on counting extrema in time series. All methods are applied to an empirical data set on tourism in Austrian provinces. The power properties of the tests are evaluated in simulation experiments that are tuned to the tourism data.
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Suggested Citation

  • Robert M. Kunst & Philip Hans Franses, 2011. "Testing for Seasonal Unit Roots in Monthly Panels of Time Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(4), pages 469-488, August.
    • Handle: RePEc:bla:obuest:v:73:y:2011:i:4:p:469-488
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    1. Otero, Jesus & Smith, Jeremy & Giulietti, Monica, 2007. "Testing for seasonal unit roots in heterogeneous panels in the presence of cross section dependence," Economics Letters, Elsevier, vol. 97(2), pages 179-184, November.
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    6. Otero, Jesus & Smith, Jeremy & Giulietti, Monica, 2005. "Testing for seasonal unit roots in heterogeneous panels," Economics Letters, Elsevier, vol. 86(2), pages 229-235, February.
    7. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328.
    8. Chi-Young Choi & Young-Kyu Moh, 2007. "How useful are tests for unit-root in distinguishing unit-root processes from stationary but non-linear processes?," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 82-112, March.
    9. Philip Hans Franses & Robert M. Kunst, 1999. "On the Role of Seasonal Intercepts in Seasonal Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(3), pages 409-433, August.
    10. Ghysels,Eric & Osborn,Denise R., 2001. "The Econometric Analysis of Seasonal Time Series," Cambridge Books, Cambridge University Press, number 9780521565882.
    11. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    12. Kunst, Robert M., 2009. "A Nonparametric Test for Seasonal Unit Roots," Economics Series 233, Institute for Advanced Studies.
    13. Reimers, Hans-Eggert & Dreger, Christian, 2004. "Panel Seasonal Unit Root Test With An Application for Unemployment Data," IWH Discussion Papers 191/2004, Halle Institute for Economic Research (IWH).
    14. Ucar, Nuri & Guler, Huseyin, 2010. "Testing stochastic income convergence in seasonal heterogeneous panels," Economic Modelling, Elsevier, vol. 27(1), pages 422-431, January.
    15. Jaroslava Hlouskova & Martin Wagner, 2006. "The Performance of Panel Unit Root and Stationarity Tests: Results from a Large Scale Simulation Study," Econometric Reviews, Taylor & Francis Journals, vol. 25(1), pages 85-116.
    16. Felipe Aparicio & Alvaro Escribano & Ana E. Sipols, 2006. "Range Unit‐Root (RUR) Tests: Robust against Nonlinearities, Error Distributions, Structural Breaks and Outliers," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(4), pages 545-576, July.
    17. repec:bla:obuest:v:61:y:1999:i:3:p:409-33 is not listed on IDEAS
    18. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.
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    Cited by:

    1. Tiwari, Aviral, 2010. "Is trade deficit sustainable in India? An inquiry," MPRA Paper 24451, University Library of Munich, Germany.
    2. Méndez Parra, Maximiliano, 2015. "Futures prices, trade and domestic supply of agricultural commodities," Economics PhD Theses 0115, Department of Economics, University of Sussex Business School.
    3. Hsu Shih-Hsun, 2021. "Disentangling the source of non-stationarity in a panel of seasonal data," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 25(1), pages 1-18, February.
    4. Cáceres Hernández, J.J., 2001. "Optimalidad del patrón estacional de las exportaciones canarias de tomate," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 18, pages 41-66, Agosto.
    5. Kunst, Robert M., 2014. "A Combined Nonparametric Test for Seasonal Unit Roots," Economics Series 303, Institute for Advanced Studies.

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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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