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A Note On The Power Of Bootstrap Unit Root Tests

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  • Swensen, Anders Rygh
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    Abstract

    In this note we consider the asymptotic power functions of some bootstrap unit root tests under local alternatives and show that they are in fact the same as for ordinary unit root tests. This is regardless of whether the differences of the observations, i.e., the so-called restricted residuals, or the ordinary least squares residuals are used to construct the resampled observations. We also consider models containing a constant and a linear trend and the DF-GLS tests proposed by Elliott, Rothenberg, and Stock (1996, Econometrica 64, 813 836). A small Monte Carlo experiment is included.I thank the associate editor, Bruce E. Hansen, and three anonymous referees for very constructive comments on the previous versions of the manuscript.

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    Bibliographic Info

    Article provided by Cambridge University Press in its journal Econometric Theory.

    Volume (Year): 19 (2003)
    Issue (Month): 01 (February)
    Pages: 32-48

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    Handle: RePEc:cup:etheor:v:19:y:2003:i:01:p:32-48_19

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    Cited by:
    1. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2006. "Bootstrap Unit Root Tests: Comparison and Extensions," Research Memorandum 015, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Pesavento, Elena, 2000. "Analytical Evaluation of the Power of Tests for the Absence of Cointegration," University of California at San Diego, Economics Working Paper Series qt4cq4773c, Department of Economics, UC San Diego.
    3. Smeekes Stephan, 2009. "Detrending Bootstrap Unit Root Tests," Research Memorandum 056, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    4. Elena Pesavento, 2007. "Residuals-based tests for the null of no-cointegration: an Analytical comparison," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(1), pages 111-137, 01.
    5. Parker, Cameron & Paparoditis, Efstathios & Politis, Dimitris N., 2006. "Unit root testing via the stationary bootstrap," Journal of Econometrics, Elsevier, vol. 133(2), pages 601-638, August.

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