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Cross-sectional dependence robust block bootstrap panel unit root tests

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  • Palm, F.C.

    (Quantitative Economics)

  • Smeekes, S.

    (Quantitative Economics)

  • Urbain, J.R.Y.J.

    (Quantitative Economics)

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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Suggested Citation

  • Palm, F.C. & Smeekes, S. & Urbain, J.R.Y.J., 2008. "Cross-sectional dependence robust block bootstrap panel unit root tests," Research Memorandum 048, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2008048
    DOI: 10.26481/umamet.2008048
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