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Residual-based block bootstrap for cointegration testing

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  • Rosa Badillo
  • Jorge Belaire-Franch
  • Carmelo Reverte

Abstract

We propose a new testing procedure to determine the rank of cointegration. This new method is based on the nonparametric resampling procedure, so-called Residual-Based Block Bootstrap (RBB), which is developed by Paparoditis and Politis (2003) in the context of unit root testing. Through Monte Carlo experiments we show that, in small samples, the RBB cointegration test has good power properties in relation to the other two well-known tests for cointegration, such as the Augmented Dickey-Fuller (ADF), applied to the residual of a cointegrating regression, and the Johansen's maximum eigenvalue tests. Likewise, this article looks at the influence played by the correlation of the 'X' variables with the errors of the cointegrating regression on the size and power properties of the above cointegration tests. In particular, we show that, when this correlation decreases, the RBB test for cointegration is the most powerful one.

Suggested Citation

  • Rosa Badillo & Jorge Belaire-Franch & Carmelo Reverte, 2010. "Residual-based block bootstrap for cointegration testing," Applied Economics Letters, Taylor & Francis Journals, vol. 17(10), pages 999-1003.
    • Handle: RePEc:taf:apeclt:v:17:y:2010:i:10:p:999-1003
    DOI: 10.1080/13504850802616468
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    References listed on IDEAS

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    1. Pesavento, Elena, 2004. "Analytical evaluation of the power of tests for the absence of cointegration," Journal of Econometrics, Elsevier, vol. 122(2), pages 349-384, October.
    2. Paparoditis, Efstathios & Politis, Dimitris N, 2001. "Unit Root Testing via the Continuous-Path Block Bootstrap," University of California at San Diego, Economics Working Paper Series qt9qb4r775, Department of Economics, UC San Diego.
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    1. Giuseppe Cavaliere & Dimitris N. Politis & Anders Rahbek & Carsten Jentsch & Dimitris N. Politis & Efstathios Paparoditis, 2015. "Recent developments in bootstrap methods for dependent data," Journal of Time Series Analysis, Wiley Blackwell, vol. 36(3), pages 416-441, May.
    2. Jentsch, Carsten & Paparoditis, Efstathios & Politis, Dimitris N., 2014. "Block Bootstrap Theory for Multivariate Integrated and Cointegrated Processes," Working Papers 14-18, University of Mannheim, Department of Economics.

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