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Bootstrap Sequential Tests to Determine the Stationary Units in a Panel

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  • Smeekes Stephan

    (METEOR)

Abstract

We propose an approach to investigate the stationarity properties of individual units in a panel based on testing user-defined increasing proportions of hypothesized stationary units sequentially. Asymptotically valid critical values are obtained using the block bootstrap. This sequential approach has an advantage over multiple testing approaches, in particular if N is large and T is small, as it can exploit the cross-sectional dimension, which the multiple testing approaches cannot do effectively. A simulation study is conducted to analyze the relative performance of the approach in comparison with multiple testing approaches. The method is also illustrated by two empirical applications, in testing for unit roots in real exchange rates and log earnings data of households. The simulation study and applications demonstrate the usefulness of our method, in particular in panels with large N and small T.

Suggested Citation

  • Smeekes Stephan, 2011. "Bootstrap Sequential Tests to Determine the Stationary Units in a Panel," Research Memorandum 003, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2011003
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    References listed on IDEAS

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    1. Costas Meghir & Luigi Pistaferri, 2004. "Income Variance Dynamics and Heterogeneity," Econometrica, Econometric Society, vol. 72(1), pages 1-32, January.
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    Citations

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    Cited by:

    1. Christoph Hanck & Robert Czudaj, 2013. "Nonstationary-Volatility Robust Panel Unit Root Tests and the Great Moderation," Ruhr Economic Papers 0434, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    2. Francesca Iorio & Stefano Fachin, 2014. "Savings and investments in the OECD: a panel cointegration study with a new bootstrap test," Empirical Economics, Springer, vol. 46(4), pages 1271-1300, June.
    3. repec:zbw:rwirep:0434 is not listed on IDEAS
    4. Johan Blomquist & Joakim Westerlund, 2016. "Panel bootstrap tests of slope homogeneity," Empirical Economics, Springer, vol. 50(4), pages 1359-1381, June.
    5. Smeekes S. & Urbain J.R.Y.J., 2014. "A multivariate invariance principle for modified wild bootstrap methods with an application to unit root testing," Research Memorandum 008, Maastricht University, Graduate School of Business and Economics (GSBE).
    6. repec:spr:empeco:v:53:y:2017:i:2:d:10.1007_s00181-016-1123-3 is not listed on IDEAS
    7. Matsuki, Takashi & Sugimoto, Kimiko, 2013. "Stationarity of Asian real exchange rates: An empirical application of multiple testing to nonstationary panels with a structural break," Economic Modelling, Elsevier, vol. 34(C), pages 52-58.
    8. Di Iorio, Francesca & Fachin, Stefano, 2010. "A Panel Cointegration study of the long-run relationship between Savings and Investments in the OECD economies, 1970-2007," MPRA Paper 25873, University Library of Munich, Germany.
    9. Joakim Westerlund & Johan Blomquist, 2013. "A modified LLC panel unit root test of the PPP hypothesis," Empirical Economics, Springer, vol. 44(2), pages 833-860, April.
    10. Milda Norkute, 2015. "Can the sectoral New Keynesian Phillips curve explain inflation dynamics in the Euro Area?," Empirical Economics, Springer, vol. 49(4), pages 1191-1216, December.
    11. Takashi Matsuki, 2016. "Linear and nonlinear comovement in Southeast Asian local currency bond markets: a stepwise multiple testing approach," Empirical Economics, Springer, vol. 51(2), pages 591-619, September.
    12. Christoph Hanck & Robert Czudaj, 2015. "Nonstationary-volatility robust panel unit root tests and the great moderation," AStA Advances in Statistical Analysis, Springer;German Statistical Society, pages 161-187.
    13. Westerlund J. & Smeekes S., 2013. "Robust block bootstrap panel predictability tests," Research Memorandum 060, Maastricht University, Graduate School of Business and Economics (GSBE).
    14. Westerlund, Joakim & Thuraisamy, Kannan & Sharma, Susan, 2015. "On the use of panel cointegration tests in energy economics," Energy Economics, Elsevier, vol. 50(C), pages 359-363.
    15. Adiguzel, Ugur & Sahbaz, Ahmet & Ozcan, Ceyhun Can & Nazlioglu, Saban, 2014. "The behavior of Turkish exchange rates: A panel data perspective," Economic Modelling, Elsevier, vol. 42(C), pages 177-185.

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