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Testing Identifiability of Cointegrating Vectors


  • Boswijk, H Peter


This paper analyzes the identification and normalization of cointegrating vectors. Normalizing a cointegrating relation with respect to one of the relevant variables is with loss of generality; and restrictions which are supposed to identify a vector may fail to do so for particular parameter values. The author proposes to tackle both problems by testing whether particular rank conditions are violated. He shows that S. Johansen and K. Juselius's (1992) class of likelihood ratio statistics for structural hypotheses in a Gaussian vector autoregression may be used for this purpose. The tests are applied to a model of the demand for money in the United Kingdom.

Suggested Citation

  • Boswijk, H Peter, 1996. "Testing Identifiability of Cointegrating Vectors," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 153-160, April.
  • Handle: RePEc:bes:jnlbes:v:14:y:1996:i:2:p:153-60

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    References listed on IDEAS

    1. Ben S. Bernanke, 1990. "On the predictive power of interest rates and interest rate spreads," New England Economic Review, Federal Reserve Bank of Boston, issue Nov, pages 51-68.
    2. Spindt, Paul A, 1985. "Money Is What Money Does: Monetary Aggregation and the Equation of Exchange," Journal of Political Economy, University of Chicago Press, vol. 93(1), pages 175-204, February.
    3. Kashyap, Anil K & Stein, Jeremy C & Wilcox, David W, 1993. "Monetary Policy and Credit Conditions: Evidence from the Composition of External Finance," American Economic Review, American Economic Association, vol. 83(1), pages 78-98, March.
    4. Grossman, Sanford & Weiss, Laurence, 1983. "A Transactions-Based Model of the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 73(5), pages 871-880, December.
    5. McCallum, Bennett T., 1984. "On low-frequency estimates of long-run relationships in macroeconomics," Journal of Monetary Economics, Elsevier, vol. 14(1), pages 3-14, July.
    6. Kormendi, Roger C & Meguire, Philip G, 1984. "Cross-Regime Evidence of Macroeconomic Rationality," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 875-908, October.
    7. Lucas, Robert E, Jr, 1980. "Two Illustrations of the Quantity Theory of Money," American Economic Review, American Economic Association, vol. 70(5), pages 1005-1014, December.
    8. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    9. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
    10. Stock, James H. & Watson, Mark W., 1989. "Interpreting the evidence on money-income causality," Journal of Econometrics, Elsevier, vol. 40(1), pages 161-181, January.
    11. Barnett, William A & Offenbacher, Edward K & Spindt, Paul A, 1984. "The New Divisia Monetary Aggregates," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 1049-1085, December.
    12. Rotemberg, Julio J, 1984. "A Monetary Equilibrium Model with Transactions Costs," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 40-58, February.
    13. Serletis, Apostolos, 1988. "The Empirical Relationship between Money, Prices, and Income Revisite d," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 351-358, July.
    14. King, Robert G & Plosser, Charles I, 1984. "Money, Credit, and Prices in a Real Business Cycle," American Economic Review, American Economic Association, vol. 74(3), pages 363-380, June.
    15. Fuerst, Timothy S., 1992. "Liquidity, loanable funds, and real activity," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 3-24, February.
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    Cited by:

    1. Jorg Breitung, 2005. "A Parametric approach to the Estimation of Cointegration Vectors in Panel Data," Econometric Reviews, Taylor & Francis Journals, vol. 24(2), pages 151-173.
    2. 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.
    3. Heejoon Kang, 1999. "The Applied Cointegration Analysis for the Open Economy: A Critical Review," Open Economies Review, Springer, vol. 10(3), pages 325-346, July.
    4. Kleibergen, Frank & Paap, Richard, 2002. "Priors, posteriors and bayes factors for a Bayesian analysis of cointegration," Journal of Econometrics, Elsevier, vol. 111(2), pages 223-249, December.
    5. 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.
    6. Christophe Rault, 2007. "Une synthèse de l'exogénéité dans les modèles vectoriels à correction d'erreurs," Post-Print halshs-00202651, HAL.
    7. Helmut Lütkepohl, 2006. "Structural vector autoregressive analysis for cointegrated variables," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 75-88, March.
    8. Kerry Patterson & Michael A. Thornton, 2013. "A review of econometric concepts and methods for empirical macroeconomics," Chapters,in: Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 2, pages 4-42 Edward Elgar Publishing.
    9. Hunter, John & Menla Ali, Faek, 2014. "Money demand instability and real exchange rate persistence in the monetary model of USD–JPY exchange rate," Economic Modelling, Elsevier, vol. 40(C), pages 42-51.
    10. Pitruzzello, Salvatore, 2004. "Trade Globalization, Economic Performance, and Social Protection: Nineteenth-Century British Laissez-Faire and Post World War II U.S.-Embedded Liberalism," International Organization, Cambridge University Press, vol. 58(04), pages 705-744, October.
    11. Breitung, Jörg, 1998. "Canonical correlation statistics for testing the cointegration rank in a reversed order," SFB 373 Discussion Papers 1998,105, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    12. Strachan, Rodney W. & Inder, Brett, 2004. "Bayesian analysis of the error correction model," Journal of Econometrics, Elsevier, vol. 123(2), pages 307-325, December.
    13. Gomez-Biscarri, Javier & Hualde, Javier, 2015. "Regression-based analysis of cointegration systems," Journal of Econometrics, Elsevier, vol. 186(1), pages 32-50.

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