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Identifying, Estimating and Testing Restricted Cointegrated Systems: An Overview

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Author Info
H. Peter Boswijk () (Universiteit van Amsterdam)
Jurgen Doornik () (Nuffield College, Oxford University)

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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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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2003-W10.

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Length: 24 pages
Date of creation: 01 Jan 2003
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Handle: RePEc:nuf:econwp:0310

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  1. Johansen, S[empty]ren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244. [Downloadable!] (restricted)
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  4. Peter Hansen, 2002. "Generalized Reduced Rank Regression," Working Papers 2002-02, Brown University, Department of Economics. [Downloadable!]
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  7. Hendry, David F. & Ericsson, Neil R., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States," European Economic Review, Elsevier, vol. 35(4), pages 833-881, May. [Downloadable!] (restricted)
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  8. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-93, November. [Downloadable!] (restricted)
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  9. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  10. M. Hashem Pesaran & Yongcheol Shin, 2002. "Long-Run Structural Modelling," Econometric Reviews, Taylor and Francis Journals, vol. 21(1), pages 49-87. [Downloadable!] (restricted)
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  11. Elliott, Graham, 2000. "Estimating Restricted Cointegrating Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 91-99, January.
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  12. Søren Johansen, 2005. "Interpretation of Cointegrating Coefficients in the Cointegrated Vector Autoregressive Model," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(1), pages 93-104, 02. [Downloadable!] (restricted)
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  19. repec:cup:etheor:v:11:y:1995:i:5:p:888-911 is not listed on IDEAS
  20. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-91, May. [Downloadable!] (restricted)
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  22. Johansen, Soren, 2006. "Statistical analysis of hypotheses on the cointegrating relations in the I(2) model," Journal of Econometrics, Elsevier, vol. 132(1), pages 81-115, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Paruolo Paolo, 2006. "Finite sample comparison of alternative tests on the rank of a cointegration submatrix," Economics and Quantitative Methods qf0605, Department of Economics, University of Insubria. [Downloadable!]
  2. 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. [Downloadable!]
    Other versions:
  3. Zavkidjon Zavkiev, 2005. "Estimating A Model Of Inflation In Tajikistan," CAMA Working Papers 2005-27, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
  4. Paruolo Paolo, 2004. "The likelihood ratio test for the rank of a cointegration submatrix," Economics and Quantitative Methods qf04024, Department of Economics, University of Insubria. [Downloadable!]
    Other versions:
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