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Bootstrapping and Bartlett corrections in the cointegrated VAR model

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  • Omtzigt Pieter

    (Department of Economics, University of Insubria, Italy)

  • Fachin Stefano

    (University of Sapienza, Rome, Italy)

Abstract

The small sample properties of tests on long-run coefficients in cointegrated systems are still a matter of concern to applied econometricians. We compare the performance of the Bartlett correction, the bootstrap and the fast double bootstrap for tests on cointegration parameters in the maximum likelihood framework. We show by means of a theorical result and simulations that all three procedures should be based on the unrestricted estimate of the cointegration vectors. The fast double bootstrap delivers superior size correction, whereas the Bartlett correction leads to the least loss of power. However all three perform much better than the asymptotic tests and difference between them are small.

Suggested Citation

  • Omtzigt Pieter & Fachin Stefano, 2002. "Bootstrapping and Bartlett corrections in the cointegrated VAR model," Economics and Quantitative Methods qf0212, Department of Economics, University of Insubria.
    • Handle: RePEc:ins:quaeco:qf0212
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    File URL: https://www.eco.uninsubria.it/RePEc/pdf/QF2002_24.pdf
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    References listed on IDEAS

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    Cited by:

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    3. Alain W. HECQ, 2005. "Common Trends and Common Cycles in Latin America: A 2-step vs an Iterative Approach," Computing in Economics and Finance 2005 258, Society for Computational Economics.
    4. H. Peter Boswijk & Jurgen A. Doornik, 2004. "Identifying, estimating and testing restricted cointegrated systems: An overview," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 440-465, November.
    5. Bruggeman, Annick & Donati, Paola & Warne, Anders, 2003. "Is the demand for euro area M3 stable?," Working Paper Series 255, European Central Bank.
    6. Davidson, Russell & MacKinnon, James G., 2007. "Improving the reliability of bootstrap tests with the fast double bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3259-3281, April.
    7. Cologni, Alessandro & Manera, Matteo, 2008. "Oil prices, inflation and interest rates in a structural cointegrated VAR model for the G-7 countries," Energy Economics, Elsevier, vol. 30(3), pages 856-888, May.
    8. Boswijk, H. Peter & Cavaliere, Giuseppe & Rahbek, Anders & Taylor, A.M. Robert, 2016. "Inference on co-integration parameters in heteroskedastic vector autoregressions," Journal of Econometrics, Elsevier, vol. 192(1), pages 64-85.
    9. James G. MacKinnon, 2006. "Applications Of The Fast Double Bootstrap," Working Paper 1023, Economics Department, Queen's University.
    10. repec:ebl:ecbull:v:3:y:2004:i:13:p:1-8 is not listed on IDEAS
    11. Stefano Fachin, 2007. "Long-run trends in internal migrations in italy: a study in panel cointegration with dependent units," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 401-428.
    12. Giuseppe Cavaliere & Anders Rahbek, 2019. "A Primer On Bootstrap Testing Of Hypotheses In Time Series Models: With An Application To Double Autoregressive Models," Discussion Papers 19-03, University of Copenhagen. Department of Economics.
    13. Eriksson , Åsa, 2004. "Testing Structural Hypotheses on Cointegration Vectors: A Monte Carlo Study," Working Papers 2004:29, Lund University, Department of Economics.
    14. H. Peter Boswijk & Jurgen A. Doornik, 2004. "Identifying, estimating and testing restricted cointegrated systems: An overview," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 440-465.

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