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Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors

Author

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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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    Cited by:

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    2. H. Peter Boswijk, 2000. "Testing for a Unit Root with Near-Integrated Volatility," Econometric Society World Congress 2000 Contributed Papers 1101, Econometric Society.
    3. Juhl, Ted, 2001. "Cointegration analysis using M estimators," Economics Letters, Elsevier, vol. 71(2), pages 149-154, May.
    4. 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.
    5. 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.
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    9. Cosimo Magazzino & Gordon L. Brady, 2018. "The relationship among renewable energy, economic growth, labor and capital formation in Italy," RIVISTA DI STUDI SULLA SOSTENIBILITA', FrancoAngeli Editore, vol. 2018(1), pages 35-48.
    10. Juhl, Ted & Xiao, Zhijie, 2005. "Testing for cointegration using partially linear models," Journal of Econometrics, Elsevier, vol. 124(2), pages 363-394, February.
    11. 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.
    12. 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.
    13. Takamitsu Kurita & Bent Nielsen, 2019. "Partial Cointegrated Vector Autoregressive Models with Structural Breaks in Deterministic Terms," Econometrics, MDPI, vol. 7(4), pages 1-35, October.
    14. 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.
    15. 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.
    16. Takamitsu Kurita & B. Nielsen, 2018. "Partial cointegrated vector autoregressive models with structural breaks in deterministic terms," Economics Papers 2018-W03, Economics Group, Nuffield College, University of Oxford.

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