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Power comparison among tests for fractional unit roots

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  • Lobato, Ignacio N.
  • Velasco, Carlos

Abstract

This article compares the asymptotic power properties of the Wald, the Lagrange Multiplier and the Likelihood Ratio test for fractional unit roots. The paper shows that there is an asymptotic inequality between the three tests that holds under fixed alternatives.

Suggested Citation

  • Lobato, Ignacio N. & Velasco, Carlos, 2008. "Power comparison among tests for fractional unit roots," Economics Letters, Elsevier, vol. 99(1), pages 152-154, April.
    • Handle: RePEc:eee:ecolet:v:99:y:2008:i:1:p:152-154
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    References listed on IDEAS

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    1. Robinson, P. M., 1991. "Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression," Journal of Econometrics, Elsevier, vol. 47(1), pages 67-84, January.
    2. Juan J. Dolado & Jesus Gonzalo & Laura Mayoral, 2002. "A Fractional Dickey-Fuller Test for Unit Roots," Econometrica, Econometric Society, vol. 70(5), pages 1963-2006, September.
    3. Ignacio N Lobato & Carlos Velasco, 2007. "Efficient Wald Tests for Fractional Unit Roots," Econometrica, Econometric Society, vol. 75(2), pages 575-589, March.
    4. Tanaka, Katsuto, 1999. "The Nonstationary Fractional Unit Root," Econometric Theory, Cambridge University Press, vol. 15(4), pages 549-582, August.
    5. Ignacio N. Lobato & Carlos Velasco, 2006. "Optimal Fractional Dickey-Fuller tests," Econometrics Journal, Royal Economic Society, vol. 9(3), pages 492-510, November.
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    Cited by:

    1. Jawadi, Fredj & Soparnot, Richard & Sousa, Ricardo M., 2017. "Assessing financial and housing wealth effects through the lens of a nonlinear framework," Research in International Business and Finance, Elsevier, vol. 39(PB), pages 840-850.
    2. Juan J. Dolado & Heiko Rachinger & Carlos Velasco, 2022. "LM Tests for Joint Breaks in the Dynamics and Level of a Long-Memory Time Series," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(2), pages 629-650, April.
    3. Peter Sephton, 2009. "Critical values for the augmented efficient Wald test for fractional unit roots," Empirical Economics, Springer, vol. 37(3), pages 615-626, December.

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