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Cross-sectional dependence robust block bootstrap panel unit root tests

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  • Palm, Franz C.
  • Smeekes, Stephan
  • Urbain, Jean-Pierre

Abstract

In this paper we consider the issue of unit root testing in cross-sectionally dependent panels. We consider panels that may be characterized by various forms of cross-sectional dependence including (but not exclusive to) the popular common factor framework. We consider block bootstrap versions of the group-mean (Im et al., 2003) and the pooled (Levin et al., 2002) unit root coefficient DF tests for panel data, originally proposed for a setting of no cross-sectional dependence beyond a common time effect. The tests, suited for testing for unit roots in the observed data, can be easily implemented as no specification or estimation of the dependence structure is required. Asymptotic properties of the tests are derived for T going to infinity and N finite. Asymptotic validity of the bootstrap tests is established in very general settings, including the presence of common factors and cointegration across units. Properties under the alternative hypothesis are also considered. In a Monte Carlo simulation, the bootstrap tests are found to have rejection frequencies that are much closer to nominal size than the rejection frequencies for the corresponding asymptotic tests. The power properties of the bootstrap tests appear to be similar to those of the asymptotic tests.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 163 (2011)
Issue (Month): 1 (July)
Pages: 85-104

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Handle: RePEc:eee:econom:v:163:y:2011:i:1:p:85-104

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Web page: http://www.elsevier.com/locate/jeconom

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Keywords: Block bootstrap Panel unit root test Cross-sectional dependence;

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References

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  1. Yoosoon Chang, 2000. "Bootstrap Unit Root Tests in Panels with Cross-Sectional Dependency," Econometric Society World Congress 2000 Contributed Papers 1585, Econometric Society.
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Citations

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Cited by:
  1. Di Iorio, Francesca & Triacca, Umberto, 2013. "Testing for Granger non-causality using the autoregressive metric," Economic Modelling, Elsevier, vol. 33(C), pages 120-125.
  2. MOON, H.R. & PERRON, Benoit, 2010. "Beyond Panel Unit Root Tests : Using Multiple Testing to Determine the Non-Stationarity Properties of Individual Series in a Panel," Cahiers de recherche 10-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Omer, Muhammad & de Haan, Jakob & Scholtens, Bert, 2013. "Does Uncovered Interest rate Parity Hold After All?," MPRA Paper 47572, University Library of Munich, Germany.
  4. Pesaran, M. Hashem & Smith, L. Vanessa & Yamagata, Takashi, 2007. "Panel Unit Root Tests in the Presence of a Multifactor Error Structure," IZA Discussion Papers 3254, Institute for the Study of Labor (IZA).
  5. Eijffinger, Sylvester C. W. & Qian, Zongxin, 2010. "Globalization and the Output-inflation Tradeoff: New Time Series Evidence," CEPR Discussion Papers 7718, C.E.P.R. Discussion Papers.
  6. BODART, Vincent & CANDELON, Bertrand & CARPANTIER, Jean - François, 2011. "Real exchanges rates in commodity producing countries : A reappraisal," CORE Discussion Papers 2011006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Muhammad Omer & Jakob de Haan & Bert Scholtens, 2012. "Testing Uncovered Interest Rate Parity Using LIBOR," CESifo Working Paper Series 3839, CESifo Group Munich.
  8. Iorio, Francesca Di & Fachin, Stefano, 2014. "Savings and investments in the OECD, 1970–2007: A test of panel cointegration with regime changes," The North American Journal of Economics and Finance, Elsevier, vol. 28(C), pages 59-76.
  9. 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).
  10. 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.
  11. Smeekes Stephan & Urbain Jean-Pierre, 2011. "On the Applicability of the Sieve Bootstrap in Time series Panels," Research Memorandum 055, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  12. Francesca Di Iorio & Stefano Fachin, 2012. "Savings and Investments in the OECD: a panel cointegration study with a new bootstrap test," DSS Empirical Economics and Econometrics Working Papers Series 2012/2, Centre for Empirical Economics and Econometrics, Department of Statistics, "Sapienza" University of Rome.
  13. Hanck, Christoph & Demetrescu, Matei & Tarcolea, Adina, 2012. "IV-Based Cointegration Testing in Dependent Panels with Time-Varying Variance," Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62072, Verein für Socialpolitik / German Economic Association.
  14. Yushu Li & Ghazi Shukur, 2013. "Testing for Unit Roots in Panel Data Using a Wavelet Ratio Method," Computational Economics, Society for Computational Economics, vol. 41(1), pages 59-69, January.
  15. Moon, H.R. & Perron, B., 2012. "Beyond panel unit root tests: Using multiple testing to determine the nonstationarity properties of individual series in a panel," Journal of Econometrics, Elsevier, vol. 169(1), pages 29-33.
  16. 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.

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