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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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    References listed on IDEAS

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    2. Dreger, Christian & Wolters, Jürgen, 2015. "Unconventional monetary policy and money demand," Journal of Macroeconomics, Elsevier, vol. 46(C), pages 40-54.
    3. de Mello Luiz & Moccero Diego & Mogliani Matteo, 2013. "Do Latin American Central Bankers Behave Non-Linearly? The Experiences of Brazil, Chile, Colombia and Mexico," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 17(2), pages 141-165, April.
    4. Nowak-Lehmann D., Felicitas & Martínez-Zarzoso, Inmaculada & Cardozo, Adriana & Herzer, Dierk & Klasen, Stephan, 2011. "Does Aid translate into Bilateral Trade? Findings for Recipient Countries," Proceedings of the German Development Economics Conference, Berlin 2011 61, Verein für Socialpolitik, Research Committee Development Economics.
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    8. Koester, Gerrit B. & Priesmeier, Christoph, 2012. "Estimating dynamic tax revenue elasticities for Germany," Discussion Papers 23/2012, Deutsche Bundesbank.
    9. Raghbendra Jha & Varsha S. Kulkarni, 2013. "Inflation, its Volatility and the Inflation-Growth Tradeoff in India," ASARC Working Papers 2013-06, The Australian National University, Australia South Asia Research Centre.
    10. Konstantin A. Kholodilin & Julien Licheron, 2017. "Macroeconomic Effects of Rental Housing Regulations: The Case of Germany in 1950-2015," Discussion Papers of DIW Berlin 1649, DIW Berlin, German Institute for Economic Research.
    11. Mobeen Ur Rehman & Syed Muhammad Amir Shah, 2016. "Does Bilateral Market and Financial Integration Explains International Co-Movement Patterns 1," International Journal of Financial Studies, MDPI, Open Access Journal, vol. 4(2), pages 1-13, May.
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    13. Claus-Friedrich Laaser & Klaus Schrader, 2005. "Baltic Trade with Europe: Back to the Roots?," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 5(2), pages 15-37, July.
    14. Morten Hansen, 2005. "The Irosh Growth Miracle: Can Latvia Replicate?," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 5(2), pages 3-14, July.
    15. Garfa, Kamel, 2011. "MENA aggregate cycle and world conjuncture: Episodes of volatility and symmetry, and an ADL cointegration test," MPRA Paper 32247, University Library of Munich, Germany, revised Mar 2011.
    16. repec:eee:eneeco:v:66:y:2017:i:c:p:116-121 is not listed on IDEAS
    17. Ambachew, Mekonnen Sisay, 2010. "Determinants of Private Investment in Ethiopia: a Time Series Study," Ethiopian Journal of Economics, Ethiopian Economics Association, vol. 19(1).

    More about this item

    Keywords

    Error-correction ; asymptotically normal inference ; cointegration testing;

    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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