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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.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 99-013/4.

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Date of creation: 18 Feb 1999
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Handle: RePEc:dgr:uvatin:19990013

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  1. Nielsen, B., 1995. "Bartlett Correction of the Unit Root test in Autoregressive Models," Economics Papers 98, Economics Group, Nuffield College, University of Oxford.
  2. Lucas, André, 1997. "Cointegration Testing Using Pseudolikelihood Ratio Tests," Econometric Theory, Cambridge University Press, vol. 13(02), pages 149-169, April.
  3. 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.
  4. Bruce E. Hansen, 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Boston College Working Papers in Economics 300., Boston College Department of Economics.
  5. Jurgen A. Doornik & David F. Hendry & Bent Nielsen, 1998. "Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 533-572, December.
  6. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  7. Byeongseon, Seo, 1998. "Statistical inference on cointegration rank in error correction models with stationary covariates," Journal of Econometrics, Elsevier, vol. 85(2), pages 339-385, August.
  8. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  9. 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.
  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.
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  12. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, September.
  13. Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-99, October.
  14. Jurgen A. Doornik, 1998. "Approximations To The Asymptotic Distributions Of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
  15. Boswijk, H. Peter & Lucas, Andre, 2002. "Semi-nonparametric cointegration testing," Journal of Econometrics, Elsevier, vol. 108(2), pages 253-280, June.
  16. repec:cup:etheor:v:13:y:1997:i:2:p:149-69 is not listed on IDEAS
  17. Jeroen J.M. Kremers & Neil R. Ericsson & Juan J. Dolado, 1992. "The power of cointegration tests," International Finance Discussion Papers 431, Board of Governors of the Federal Reserve System (U.S.).
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Citations

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Cited by:
  1. Boswijk, H. Peter & Lucas, Andr‚ & Taylor, Nick, 1998. "A comparison of parametric, semi-nonparametric, adaptive and nonparametric tests," Serie Research Memoranda 0062, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  2. Alvaro Escribano & Juan Ignacio Peña & Pablo Villaplana, 2002. "Modeling Electricity Prices: International Evidence," Economics Working Papers we022708, Universidad Carlos III, Departamento de Economía.
  3. 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.
  4. Luis Fernando Melo Velandia & Alvaro José Riascos Villegas, 2004. "Sobre los Efectos de la Política Monetaria en Colombia," BORRADORES DE ECONOMIA 003511, BANCO DE LA REPÚBLICA.
  5. Juhl, Ted, 2001. "Cointegration analysis using M estimators," Economics Letters, Elsevier, vol. 71(2), pages 149-154, May.
  6. 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.
  7. H. Peter Boswijk, 2001. "Testing for a Unit Root with Near-Integrated Volatility," Tinbergen Institute Discussion Papers 01-077/4, Tinbergen Institute.
  8. H. Peter Boswijk & Andre Lucas & Nick Taylor, 1999. "A Comparison of Parametric, Semi-nonparametric, Adaptive, and Nonparametric Cointegration Tests," Tinbergen Institute Discussion Papers 99-012/4, Tinbergen Institute.
  9. Mario Nigrinis Ospina, . "Es lineal la Curva de Phillips en Colombia?," Borradores de Economia 281, Banco de la Republica de Colombia.
  10. Oscar Becerra & Luis Fernando Melo, . "Transmisión de tasas de interés bajo el esquema de metas de inflación: evidencia para Colombia," Borradores de Economia 519, Banco de la Republica de Colombia.
  11. H. Peter Boswijk & Franc Klaassen, 2005. "Why Frequency Matters for Unit Root Testing," Tinbergen Institute Discussion Papers 04-119/4, Tinbergen Institute.
  12. 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.
  13. 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.
  14. 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.
  15. 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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