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Distribution approximations for cointegration tests with stationary exogenous regressors

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Author Info
Jurgen A. Doornik (Nuffield College, Oxford, UK)
H. Peter Boswijk (Department of Quantitative Economics, Universiteit van Amsterdam, The Netherlands)

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Abstract

The distribution of a functional of two correlated vector-Brownian motions is approximated 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 with both tabulated critical values and simulated p-values. The proposed procedure is applied to a UK model investigating purchasing power parity. Copyright © 2005 John Wiley & Sons, Ltd.

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File URL: http://hdl.handle.net/10.1002/jae.811
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File URL: http://qed.econ.queensu.ca:80/jae/2005-v20.6/
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Publisher Info
Article provided by John Wiley & Sons, Ltd. in its journal Journal of Applied Econometrics.

Volume (Year): 20 (2005)
Issue (Month): 6 ()
Pages: 797-810
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Handle: RePEc:jae:japmet:v:20:y:2005:i:6:p:797-810

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Boswijk, H. Peter & Lucas, Andr‚, 1997. "Semi-nonparametric cointegration testing," Serie Research Memoranda 0041, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics. [Downloadable!]
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  3. 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. [Downloadable!] (restricted)
  4. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
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  5. repec:cup:etheor:v:13:y:1997:i:2:p:149-69 is not listed on IDEAS
  6. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1148-1171, October. [Downloadable!]
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  7. Bent Nielsen, 1995. "Bartlett correction of the unit root test in autoregressive models," Economics Papers 11 & 98., Economics Group, Nuffield College, University of Oxford. [Downloadable!]
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  8. 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.
  9. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-48, August.
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  10. Doornik, Jurgen A & Hendry, David F & Nielsen, Bent, 1998. " Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Blackwell Publishing, vol. 12(5), pages 533-72, December. [Downloadable!] (restricted)
  11. repec:cup:etheor:v:11:y:1995:i:5:p:1148-71 is not listed on IDEAS
  12. 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. [Downloadable!] (restricted)
  13. Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Blackwell Publishing, vol. 12(5), pages 573-93, December. [Downloadable!] (restricted)
  14. 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.
  15. Lucas, Andr?, 1997. "Cointegration Testing Using Pseudolikelihood Ratio Tests," Econometric Theory, Cambridge University Press, vol. 13(02), pages 149-169, April. [Downloadable!]
  16. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. H. Peter Boswijk, 2000. "Testing for a Unit Root with Near-Integrated Volatility," Econometric Society World Congress 2000 Contributed Papers 1101, Econometric Society. [Downloadable!]
    Other versions:
  2. 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. [Downloadable!]
    Other versions:
  3. Mario Nigrinis Ospina, . "Es lineal la Curva de Phillips en Colombia?," Borradores de Economia 281, Banco de la Republica de Colombia. [Downloadable!]
  4. Gianluca Moretti, 2007. "Detecting long memory co-movements in macroeconomic time series," Temi di discussione (Economic working papers) 642, Bank of Italy, Economic Research Department. [Downloadable!]
  5. 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. [Downloadable!]
  6. Óscar Reinaldo Becerra & Luis Fernando Melo Velandia., 2009. "Transmisión de Tasas de Interés bajo el Esquema de Metas de Inflación: Evidencia para Colombia," Cuadernos de Economía (Latin American Journal of Economics), Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 46(133), pages 107-134. [Downloadable!]
    Other versions:
  7. Randall E. Parker & Phillip Rothman & Original: August 2000. This version: June 2003., . "An Examination of the Asymmetric Effects of Money Supply Shocks in the Pre-World War I and Interwar Periods," Working Papers 0302, East Carolina University, Department of Economics. [Downloadable!]
    Other versions:
  8. H. Peter Boswijk & Franc Klaassen, 2005. "Why Frequency Matters for Unit Root Testing," Tinbergen Institute Discussion Papers 04-119/4, Tinbergen Institute. [Downloadable!]
  9. 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.
  10. 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. [Downloadable!]
  11. Álvaro Escribano & Juan Ignacio Peña & Pablo Villaplana, 2002. "Modeling Electricity Prices: International Evidence," Economics Working Papers we022708, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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