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Single-equation tests for Cointegration with GLS Detrended Data

Gabriel Rodríguez () and Pierre Perron ()

No 2013-016, Boston University - Department of Economics - Working Papers Series from Boston University - Department of Economics

Abstract: We provide GLS-based versions of two widely used approaches for testing whether or not non-stationary economic time series are cointegrated: single-equation static re- gression or residual-based tests and single-equation conditional error correction model (ECM) based tests. Our approach is to consider nearly optimal tests for unit roots and apply them in the cointegration context. Our GLS versions of the tests do in- deed provide substantial improvements over their OLS counterparts. We derive the local asymptotic power functions of all tests considered for a DGP with weakly ex- ogenous regressors. This allows obtaining the relevant non-centrality parameter to quasi-di§erence the data. We investigate the e§ect of non-weakly exogenous regressors via simulations. With weakly exogenous regressors strongly correlated with the depen- dent variable, the ECM tests are clearly superior. When the regressors are potentially non-weakly exogenous, the residuals-based tests are clearly preferred.

Keywords: Cointegration; Residual-Based Unit Root Tests; ECR Tests; OLS and GLS Detrended Data; Hypothesis Testing. (search for similar items in EconPapers)
Date: 2013
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http://www.bu.edu/econ/files/2014/05/Perron-Single ... ration-Sept-2013.pdf First version, 2013 (application/pdf)

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