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Autoregressive distributed lag models and cointegration

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  • Hassler, Uwe
  • Wolters, Jürgen

Abstract

This paper considers cointegration analysis within an autoregressive distributed lag (ADL) framework. First, different reparameterizations and interpretations are reviewed. Then we show that the estimation of a cointegrating vector from an ADL specification is equivalent to that from an error-correction (EC) model. Therefore, asymptotic normality available in the ADL model under exogeneity carries over to the EC estimator. Next, we review cointegration tests based on EC regressions. Special attention is paid to the effect of linear time trends in case of regressions without detrending. Finally, the relevance of our asymptotic results in finite samples is investigated by means of computer experiments. In particular, it turns out that the conditional EC model is superior to the unconditional one.

Suggested Citation

  • Hassler, Uwe & Wolters, Jürgen, 2005. "Autoregressive distributed lag models and cointegration," Discussion Papers 2005/22, Free University Berlin, School of Business & Economics.
    • Handle: RePEc:zbw:fubsbe:200522
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    More about this item

    Keywords

    Error-correction ; asymptotically normal inference ; cointegration testing;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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