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A bootstrap view on dickey-fuller control charts for AR(1) series

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  • Steland, Ansgar

Abstract

Dickey-Fuller control charts aim at monitoring a random walk until a given time horizon to detect stationarity as early as possible. That problem appears in many fields, especially in econometrics and the analysis of economic equilibria. To improve upon asymptotic control limits (critical values), we study the bootstrap and establish its a.s. consistency for fixed alternatives. Simulations indicate that the bootstrap control chart works very well.

Suggested Citation

  • Steland, Ansgar, 2006. "A bootstrap view on dickey-fuller control charts for AR(1) series," Technical Reports 2006,01, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200601
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    References listed on IDEAS

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    1. Joon Y. Park, 2003. "Bootstrap Unit Root Tests," Econometrica, Econometric Society, vol. 71(6), pages 1845-1895, November.
    2. Ansgar Steland, 2005. "Random Walks with Drift – A Sequential Approach," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(6), pages 917-942, November.
    3. Ansgar Steland, 2004. "Sequential control of time series by functionals of kernal-weighted empirical processes under local alternatives," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(3), pages 229-249, November.
    4. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
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    Cited by:

    1. Marie Hušková & Claudia Kirch, 2012. "Bootstrapping sequential change-point tests for linear regression," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(5), pages 673-708, July.

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