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Comparison of Tests for the Cointegrating Rank of a VAR Process with a Structural Shift

Author

Listed:
  • Helmut Luetkepohl

    (Humboldt University Berlin)

  • Pentti Saikkonen

    (University of Helsinki)

  • Carsten Trenkler

    (Humboldt University Berlin)

Abstract

Two different types of tests for the cointegrating rank of VAR processes with a deterministic shift in the level have been proposed in the literature. The first proposal is based on the LR principle using a specific Gaussian model set-up. In the second proposal the time series are adjusted for deterministic terms first and then LR type tests are applied to the adjusted series. The local power of the two types of tests is derived and compared. Moreover, the small sample size and power properties of the tests are explored. It is found that the tests based on adjusted series generally have superior local power and size properties.

Suggested Citation

  • Helmut Luetkepohl & Pentti Saikkonen & Carsten Trenkler, 2000. "Comparison of Tests for the Cointegrating Rank of a VAR Process with a Structural Shift," Econometric Society World Congress 2000 Contributed Papers 0364, Econometric Society.
    • Handle: RePEc:ecm:wc2000:0364
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    References listed on IDEAS

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    1. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    2. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    3. Søren Johansen & Rocco Mosconi & Bent Nielsen, 2000. "Cointegration analysis in the presence of structural breaks in the deterministic trend," Econometrics Journal, Royal Economic Society, vol. 3(2), pages 216-249.
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