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A Small Sample Correction for Tests of Hypotheses on the Cointegrating Vectors

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  • Johansen, S.

Abstract

A correction factor, depending on sample size and parameters, is found for the likelihood ratio test for some linear hypotheses on the cointegrating space in a vector autoregressive model, where the adjustment coefficients are known. The main idea is to condition on the common trends when making inference on the cointegrating coefficients in order to calculate the Bartlett correction factor. Some simulation experiments illustrate the findings.

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Bibliographic Info

Paper provided by European University Institute in its series Economics Working Papers with number eco99/9.

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Length: 35 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:eui:euiwps:eco99/9

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Keywords: TESTING ; REGRESSION ANALYSIS ; ECONOMETRICS;

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References

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  1. Jacobson, Tor & Vredin, Anders & Warne, Anders, 1998. "Are Real Wages and Unemployment Related?," Economica, London School of Economics and Political Science, vol. 65(257), pages 69-96, February.
  2. Johansen, Søren, 1995. "A Stastistical Analysis of Cointegration for I(2) Variables," Econometric Theory, Cambridge University Press, vol. 11(01), pages 25-59, February.
  3. Paruolo, Paolo, 2000. "Asymptotic Efficiency Of The Two Stage Estimator In I (2) Systems," Econometric Theory, Cambridge University Press, vol. 16(04), pages 524-550, August.
  4. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  5. Tor Jacobson, 1995. "Simulating small-sample properties of the maximum likelihood cointegration method : estimation and testing," Finnish Economic Papers, Finnish Economic Association, vol. 8(2), pages 96-107, Autumn.
  6. Johansen, S ren, 2000. "A Bartlett Correction Factor For Tests On The Cointegrating Relations," Econometric Theory, Cambridge University Press, vol. 16(05), pages 740-778, October.
  7. Boswijk, H. Peter, 1995. "Efficient inference on cointegration parameters in structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 133-158, September.
  8. Rothenberg, Thomas J, 1988. "Approximate Power Functions for Some Robust Tests of Regression Coefficients," Econometrica, Econometric Society, vol. 56(5), pages 997-1019, September.
  9. Proietti, Tommaso, 1997. "Short-Run Dynamics in Cointegrated Systems," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(3), pages 405-22, August.
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Cited by:
  1. Teuku Rahmatsyah & Gulasekaran Rajaguru & Reza Siregar, 2002. "Exchange Rate Volatility, Trade and “Fixing for Life” in Thailand," Centre for International Economic Studies Working Papers 2002-12, University of Adelaide, Centre for International Economic Studies.
  2. Canepa, Alessandra, 2006. "Small sample corrections for linear restrictions on cointegrating vectors: A Monte Carlo comparison," Economics Letters, Elsevier, vol. 91(3), pages 330-336, June.
  3. Alessandra Canepa & Raymond O'Brien, 2000. "The Size and Power of Bootstrap Tests for Linear Restrictions in Misspecified Cointegrating Relationships," Econometric Society World Congress 2000 Contributed Papers 1807, Econometric Society.
  4. Guillaume Chevillon, 2013. "Robust Cointegration Testing in the Presence of Weak Trends, with an Application to the Human Origin of Global Warming," Post-Print hal-00914830, HAL.
  5. Pedro M G Martins, . "Fiscal Dynamics in Ethiopia: A Cointegrated VAR Model with Quarterly Data," Discussion Papers 10/05, University of Nottingham, CREDIT.
  6. Macchiarelli, Corrado, 2011. "Bond market co-movements, expected inflation and the equilibrium real exchange rate," Working Paper Series 1405, European Central Bank.
  7. de Mello, Luiz & Pisu, Mauro, 2010. "The bank lending channel of monetary transmission in Brazil: A VECM approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(1), pages 50-60, February.
  8. Zanetti Chini, Emilio, 2010. "Does the purchasing power parity hypothesis hold after 1998?," MPRA Paper 27225, University Library of Munich, Germany.
  9. Chevillon, Guillaume, 2012. "Local-Explosive Approximations to Null Distributions of the Johansen Cointegration Test, with an Application to Cyclical Concordance in the Euro Area," ESSEC Working Papers WP1210, ESSEC Research Center, ESSEC Business School.
  10. Bwire, Thomas & Morrissey, Oliver & Lloyd, Tim, 2013. "A timeseries analysis of the impact of foreign aid on central government.s fiscal budget in Uganda," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  11. Bwire, Thomas & Morrissey, Oliver & Lloyd, Tim, 2013. "Foreign aid, public sector and private consumption: A cointegrated vector autoregressive approach," Working Paper Series UNU-WIDER Research Paper , World Institute for Development Economic Research (UNU-WIDER).
  12. Pedro M. G. Martins, 2010. "Fiscal Dynamics in Ethiopia: The Cointegrated VAR Model with Quarterly Data," Working Paper Series 0910, Department of Economics, University of Sussex.
  13. Bjørnar Karlsen Kivedal, 2012. "A DSGE Model with Housing in the Cointegrated VAR Framework," Working Paper Series 12712, Department of Economics, Norwegian University of Science and Technology.
  14. Chevillon, Guillaume, 2007. "Inference in the Presence of Stochastic and Deterministic Trends," ESSEC Working Papers DR 07021, ESSEC Research Center, ESSEC Business School.

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