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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.

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  • 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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    References listed on IDEAS

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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. 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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