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Local Asymptotic Power of Breitung's Test

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  • Mehdi Hosseinkouchack

Abstract

type="main" xml:lang="en"> In this article, we derive the local asymptotic power function of the unit root test proposed by Breitung [Journal of Econometrics (2002) Vol. 108, pp. 343–363]. Breitung's test is a non-parametric test and is free of nuisance parameters. We compare the local power curve of the Breitungs’ test with that of the Dickey–Fuller test. This comparison is in fact a quantification of the loss of power that one has to accept when applying a non-parametric test.

Suggested Citation

  • Mehdi Hosseinkouchack, 2014. "Local Asymptotic Power of Breitung's Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(3), pages 456-462, June.
  • Handle: RePEc:bla:obuest:v:76:y:2014:i:3:p:456-462
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    File URL: http://hdl.handle.net/10.1111/obes.12020
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    1. Nabeya, Seiji & Tanaka, Katsuto, 1990. "A General Approach to the Limiting Distribution for Estimators in Time Series Regression with Nonstable Autoregressive Errors," Econometrica, Econometric Society, vol. 58(1), pages 145-163, January.
    2. Davidson, James & Magnus, Jan R. & Wiegerinck, Jan, 2008. "Notes And Problems A General Bound For The Limiting Distribution Of Breitung'S Statistic," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1443-1455, October.
    3. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.
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    Cited by:

    1. Karsten Reichold, 2022. "A Residuals-Based Nonparametric Variance Ratio Test for Cointegration," Papers 2211.06288, arXiv.org, revised Dec 2022.
    2. Karsten Reichold, 2024. "A residual‐based nonparametric variance ratio no‐cointegration test," Journal of Time Series Analysis, Wiley Blackwell, vol. 45(5), pages 847-856, September.
    3. Mehdi Hosseinkouchack & Uwe Hassler, 2016. "Powerful Unit Root Tests Free of Nuisance Parameters," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(4), pages 533-554, July.

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