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Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors

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  • H. Peter Boswijk

    () (University of Amsterdam)

  • Jurgen A. Doornik

    (Nuffield College)

Abstract

The distribution of a functional of two correlated vector Brownian motions isapproximated by a Gamma distribution. This functional represents the limiting distribution for cointegration tests with stationary exogenous regressors, but also for cointegration tests based on a non-Gaussian likelihood. The approximation is accurate, fast, and easy to use in comparison to both tabulated critical values and simulated p-values.

Suggested Citation

  • H. Peter Boswijk & Jurgen A. Doornik, 1999. "Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors," Tinbergen Institute Discussion Papers 99-013/4, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:19990013
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    References listed on IDEAS

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    1. Bent Nielsen, 1995. "Bartlett correction of the unit root test in autoregressive models," Economics Papers 11 & 98., Economics Group, Nuffield College, University of Oxford.
    2. Doornik, Jurgen A & Hendry, David F & Nielsen, Bent, 1998. " Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 533-572, December.
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    6. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
    7. Anders Rahbek & Rocco Mosconi, 1999. "Cointegration rank inference with stationary regressors in VAR models," Econometrics Journal, Royal Economic Society, vol. 2(1), pages 76-91.
    8. Abadir, Karim M. & Lucas, Andre, 2000. "Quantiles for t-statistics based on M-estimators of unit roots," Economics Letters, Elsevier, vol. 67(2), pages 131-137, May.
    9. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    10. Johansen, Søren & 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.
    11. Lucas, André, 1997. "Cointegration Testing Using Pseudolikelihood Ratio Tests," Econometric Theory, Cambridge University Press, vol. 13(02), pages 149-169, April.
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    Cited by:

    1. Hjelm, Goran & Johansson, Martin W., 2005. "A Monte Carlo study on the pitfalls in determining deterministic components in cointegrating models," Journal of Macroeconomics, Elsevier, vol. 27(4), pages 691-703, December.
    2. Alvaroriascos & Luis Fernando Melo Velandia, 2004. "Sobre Los Efectos Dela Politica Monetaria Encolombia," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 22(45), pages 172-221, June.
    3. Alvaro Escribano & J. Ignacio Peña & Pablo Villaplana, 2011. "Modelling Electricity Prices: International Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(5), pages 622-650, October.
    4. Randall E. Parker & Philip Rothman, 2004. "An Examination of the Asymmetric Effects of Money Supply Shocks in the Pre--World War I and Interwar Periods," Economic Inquiry, Western Economic Association International, vol. 42(1), pages 88-100, January.
    5. H. Peter Boswijk, 2000. "Testing for a Unit Root with Near-Integrated Volatility," Econometric Society World Congress 2000 Contributed Papers 1101, Econometric Society.
    6. Juhl, Ted, 2001. "Cointegration analysis using M estimators," Economics Letters, Elsevier, vol. 71(2), pages 149-154, May.
    7. Abadir, Karim M. & Lucas, Andre, 2000. "Quantiles for t-statistics based on M-estimators of unit roots," Economics Letters, Elsevier, vol. 67(2), pages 131-137, May.
    8. Óscar Reinaldo Becerra & Luis Fernando Melo Velandia., 2009. "Transmisión de Tasas de Interés bajo el Esquema de Metas de Inflación: Evidencia para Colombia," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 46(133), pages 107-134.
    9. Paolo Paruolo & Ben Murphy & Greet Janssens-Maenhout, 2011. "Do emissions and income have a common trend? A country-specific, time-series, global analysis, 1970-2008," Economics and Quantitative Methods qf1113, Department of Economics, University of Insubria.
    10. Alvaroriascos & Luis Fernando Melo Velandia, 2004. "Sobre los efectos de la política monetaria en Colombia," ENSAYOS SOBRE POLÍTICA ECONÓMICA, BANCO DE LA REPÚBLICA - ESPE, vol. 22(45), pages 172-221, June.
    11. Frank Hespeler, 2013. "A VECM evaluation of monetary transmission in Uzbekistan," Economic Change and Restructuring, Springer, vol. 46(2), pages 219-253, May.
    12. Swensen, Anders Rygh, 2011. "A bootstrap algorithm for testing cointegration rank in VAR models in the presence of stationary variables," Journal of Econometrics, Elsevier, vol. 165(2), pages 152-162.
    13. Hjelm, Göran & Johansson, Martin W, 2002. "A Monte Carlo Study on the Pitfalls in Determining Deterministic Components in Cointegrating Models," Working Papers 2002:3, Lund University, Department of Economics.
    14. Juhl, Ted & Xiao, Zhijie, 2005. "Testing for cointegration using partially linear models," Journal of Econometrics, Elsevier, vol. 124(2), pages 363-394, February.

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