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Bootstrap Methods for Inference in a SUR model with Autocorrelated Disturbances

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  • Clarisse Messemer
  • Richard Parks

Abstract

Although the Parks (1967) estimator for a SUR model with AR disturbances is efficient both asymptotically and in small samples, Kmenta and Gilbert (1970) and more recently Beck and Katz (1995) note that estimated standard errors tend to be biased downward as compared with the true variability of the estimates. This bias leads to tests that show over-rejection and to confidence intervals that are too small. We suggest bootstrapping the tests to correct this inference problem. After illustrating the over rejection associated with the estimated asymptotic standard errors, we develop a bootstrap approach to inference for this model, illustrate its use, and show using Monte Carlo methods that the bootstrap gives rejection probabilities close to the nominal level chosen by the researcher.

Suggested Citation

  • Clarisse Messemer & Richard Parks, 2004. "Bootstrap Methods for Inference in a SUR model with Autocorrelated Disturbances," Working Papers UWEC-2004-24, University of Washington, Department of Economics.
    • Handle: RePEc:udb:wpaper:uwec-2004-24
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    File URL: http://www.econ.washington.edu/user/rwparks/MessemerParks1018.pdf
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    Cited by:

    1. Moundigbaye, Mantobaye & Messemer, Clarisse & Parks, Richard W. & Reed, W. Robert, 2020. "Bootstrap methods for inference in the Parks model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 14, pages 1-18.
    2. Cela, Enian & Kaneko, Shinji, 2011. "Determining the effectiveness of the Danish packaging tax policy: The case of paper and paperboard packaging imports," Resources, Conservation & Recycling, Elsevier, vol. 55(9), pages 836-841.
    3. Ana Rodríguez-Álvarez & Ignacio Rosal & José Baños-Pino, 2007. "The cost of strikes in the Spanish mining sector: modelling an undesirable input with a distance function," Journal of Productivity Analysis, Springer, vol. 27(1), pages 73-83, February.

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