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Bias correcting adjustment coefficients in a cointegrated VAR with known cointegrating vectors


  • Kees Jan van Garderen
  • H. Peter Boswijk


The maximum likelihood estimator of the adjustment coefficient in a cointegrated vector autoregressive model (CVAR) is generally biased. For the case where the cointegrating vector is known in a first-order CVAR with no intercept, we derive a condition for the unbiasedness of the maximum likelihood estimator of the adjustment coefficients, and provide a simple characterization of the bias in case this condition is violated. A feasible bias correction method is shown to virtually eliminate the bias over a large part of the parameter space.

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  • Kees Jan van Garderen & H. Peter Boswijk, 2013. "Bias correcting adjustment coefficients in a cointegrated VAR with known cointegrating vectors," UvA-Econometrics Working Papers 13-05, Universiteit van Amsterdam, Dept. of Econometrics.
  • Handle: RePEc:ame:wpaper:1305

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    1. repec:adr:anecst:y:1986:i:4:p:05 is not listed on IDEAS
    2. Magnus, J.R., 1986. "The exact moments of a ratio of quadratic forms in normal variables," Other publications TiSEM c6725407-ac3c-44fd-b6d1-5, Tilburg University, School of Economics and Management.
    3. Karim M. Abadir & Kaddour Hadri & Elias Tzavalis, 1999. "The Influence of VAR Dimensions on Estimator Biases," Econometrica, Econometric Society, vol. 67(1), pages 163-182, January.
    4. van GARDEREN, Kees Jan, 1997. "Exact geometry of explosive autoregressive models," CORE Discussion Papers 1997068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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