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Structural vector autoregressive analysis for cointegrated variables

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  • Helmut Lütkepohl

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Abstract

Vector autoregressive (VAR) models are capable of capturing the dynamic structure of many time series variables. Impulse response functions are typically used to investigate the relationships between the variables included in such models. In this context the relevant impulses or innovations or shocks to be traced out in an impulse response analysis have to be specified by imposing appropriate identifying restrictions. Taking into account the cointegration structure of the variables offers interesting possibilities for imposing identifying restrictions. Therefore VAR models which explicitly take into account the cointegration structure of the variables, so-called vector error correction models, are considered. Specification, estimation and validation of reduced form vector error correction models is briefly outlined and imposing structural short- and long-run restrictions within these models is discussed.

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File URL: http://hdl.handle.net/10.1007/s10182-006-0222-4
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Bibliographic Info

Article provided by Springer in its journal Allgemeines Statistisches Archiv.

Volume (Year): 90 (2006)
Issue (Month): 1 (March)
Pages: 75-88

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Handle: RePEc:spr:alstar:v:90:y:2006:i:1:p:75-88

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Related research

Keywords: Cointegration; vector autoregressive process; vector error correction model JEL C32;

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References

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  1. Gonzalo, J. & Ng, S., 1996. "A Systematic Framework for Analyzing the Dynamic Effects of Permanent and Transitory Shocks," Cahiers de recherche 9603, Universite de Montreal, Departement de sciences economiques.
  2. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
  3. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
  4. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1992. "Stochastic Trends and Economic Fluctuations," NBER Working Papers 2229, National Bureau of Economic Research, Inc.
  5. Boswijk, H Peter, 1996. "Testing Identifiability of Cointegrating Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 153-60, April.
  6. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  7. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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