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Some Identification Problems in the Cointegrated Vector Autoregressive Model

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Author Info
Søren Johansen (Department of Economics, University of Copenhagen)

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Abstract

An analysis of some identification problems in the cointegrated VAR is given. We give a new criteria for identification by linear restrictions on individual relations which is equivalent to the rank condition. We compare the asymptotic distribution of the estimators of a and ß; when they are identified by linear restrictions on ß; and when they are identified by linear restrictions on a; in which case a component of ß^ is asymptotically Gaussian. Finally we discuss identification of shocks by introducing the contemporaneous and permanent effect of a shock and the distinction between permanent and transitory shocks, which allows one to identify permanent shocks from the long-run variance and transitory shocks from the short-run variance.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 07-24.

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Length: 26 pages
Date of creation: Oct 2007
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Handle: RePEc:kud:kuiedp:0724

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Related research
Keywords: identification; cointegration; common trends;

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  1. Johansen, Soren, 1995. "Identifying restrictions of linear equations with applications to simultaneous equations and cointegration," Journal of Econometrics, Elsevier, vol. 69(1), pages 111-132, September. [Downloadable!] (restricted)
  2. repec:cup:etheor:v:13:y:1997:i:1:p:79-118 is not listed on IDEAS
  3. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-73, September. [Downloadable!] (restricted)
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  4. Paruolo, Paolo, 2002. "Asymptotic Inference On The Moving Average Impact Matrix In Cointegrated I (2) Var Systems," Econometric Theory, Cambridge University Press, vol. 18(03), pages 673-690, June. [Downloadable!]
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