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Identifying, estimating and testing restricted cointegrated systems: An overview

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  • H. Peter Boswijk
  • Jurgen A. Doornik

Abstract

The notion of cointegration has lead to a renewed interest in the identification and estimation of structural relations among economic time series, a field to which Henri Theil has made many pioneering contributions. This paper reviews the different approaches that have been put forward in the literature for identifying cointegrating relationships and imposing (possibly over-identifying) restrictions on them. Next, various algorithms to obtain (approximate) maximum likelihood estimates and likelihood ratio statistics are reviewed, with an emphasis on so-called switching algorithms. The implementation of these algorithms is discussed and illustrated using an empirical example.
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Suggested Citation

  • H. Peter Boswijk & Jurgen A. Doornik, 2004. "Identifying, estimating and testing restricted cointegrated systems: An overview," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 440-465.
  • Handle: RePEc:bla:stanee:v:58:y:2004:i:4:p:440-465
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    Cited by:

    1. Boswijk, H. Peter & Cavaliere, Giuseppe & Rahbek, Anders & Taylor, A.M. Robert, 2016. "Inference on co-integration parameters in heteroskedastic vector autoregressions," Journal of Econometrics, Elsevier, vol. 192(1), pages 64-85.
    2. George Halkos & Kyriaki Tsilika, 2015. "Programming Identification Criteria in Simultaneous Equation Models," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 157-170, June.
    3. repec:gam:jecnmx:v:5:y:2017:i:2:p:19-:d:98597 is not listed on IDEAS
    4. Bertocco Giancarlo, 2006. "Are banks special? A note on Tobin’s theory of financial intermediaries," Economics and Quantitative Methods qf0605, Department of Economics, University of Insubria.
    5. Morten Ørregaard Nielsen & Michał Ksawery Popiel, 2018. "A Matlab program and user's guide for the fractionally cointegrated VAR model," Working Papers 1330, Queen's University, Department of Economics.
    6. Håvard Hungnes, 2010. "Identifying Structural Breaks in Cointegrated Vector Autoregressive Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(4), pages 551-565, August.
    7. Paolo Paruolo, 2006. "The Likelihood Ratio Test for the Rank of a Cointegration Submatrix," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 921-948, December.
    8. Cubadda, Gianluca & Guardabascio, Barbara & Hecq, Alain, 2017. "A vector heterogeneous autoregressive index model for realized volatility measures," International Journal of Forecasting, Elsevier, vol. 33(2), pages 337-344.
    9. Aloy M. & Moreno B. & Nancy G., "undated". "Does Fiscal Policy Matter in a Currency Board Regime? The Case of Argentina," EcoMod2003 330700005, EcoMod.
    10. Castle, Jennifer L. & Fawcett, Nicholas W.P. & Hendry, David F., 2010. "Forecasting with equilibrium-correction models during structural breaks," Journal of Econometrics, Elsevier, vol. 158(1), pages 25-36, September.
    11. repec:gam:jecnmx:v:5:y:2017:i:4:p:49-:d:119536 is not listed on IDEAS
    12. Raghbendra Jha, 2008. "Inflation targeting in India: issues and prospects," International Review of Applied Economics, Taylor & Francis Journals, vol. 22(2), pages 259-270.
    13. Thomas A. Knetsch & Hans-Eggert Reimers, 2009. "Dealing with Benchmark Revisions in Real-Time Data: The Case of German Production and Orders Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(2), pages 209-235, April.
    14. Abdul Qayyum, 2005. "Modelling the Demand for Money in Pakistan," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 44(3), pages 233-252.
    15. repec:eee:econom:v:198:y:2017:i:2:p:271-276 is not listed on IDEAS
    16. Jacob R. Fooks & Steven J. Dundas & Titus O. Awokuse, 2013. "Are There Efficiency Gains from the Removal of Natural Resource Export Restrictions? Evidence from British Columbia," The World Economy, Wiley Blackwell, vol. 36(8), pages 1098-1114, August.
    17. Girardi, Riccardo & Paruolo, Paolo, 2013. "Wages and prices in Europe before and after the onset of the Monetary Union," Economic Modelling, Elsevier, vol. 35(C), pages 643-653.
    18. Tom Engsted & Bent Nielsen, 2012. "Testing for rational bubbles in a coexplosive vector autoregression," Econometrics Journal, Royal Economic Society, vol. 15(2), pages 226-254, 06.

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