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Fractional integration and the augmented Dickey-Fuller Test

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  • Kramer, Walter

Abstract

This note shows that the Augmented Dickey-Fuller test is consistent against fractional alternatives if the order of the autoregression does not tend to infinity too fast.
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Suggested Citation

  • Kramer, Walter, 1998. "Fractional integration and the augmented Dickey-Fuller Test," Economics Letters, Elsevier, vol. 61(3), pages 269-272, December.
    • Handle: RePEc:eee:ecolet:v:61:y:1998:i:3:p:269-272
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    1. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    2. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    3. Hassler, Uwe & Wolters, Jurgen, 1994. "On the power of unit root tests against fractional alternatives," Economics Letters, Elsevier, vol. 45(1), pages 1-5, May.
    4. Sowell, Fallaw, 1990. "The Fractional Unit Root Distribution," Econometrica, Econometric Society, vol. 58(2), pages 495-505, March.
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    2. Walter Krämer, 1999. "Kointegration von Aktienkursen," Schmalenbach Journal of Business Research, Springer, vol. 51(10), pages 915-936, October.
    3. George, Halkos & Ilias, Kevork, 2005. "Το Υπόδειγμα Τυχαίου Περιπάτου Με Αυτοπαλίνδρομα Σφάλματα [The random walk model with autoregressive errors]," MPRA Paper 33312, University Library of Munich, Germany.
    4. Lima, Luiz Renato & Notini, Hilton Hostalácio & Reis Gomes, Fábio Augusto, 2010. "Empirical Evidence on Convergence Across Brazilian States," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 64(2), June.
    5. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
    6. Bisaglia, Luisa & Procidano, Isabella, 2002. "On the power of the Augmented Dickey-Fuller test against fractional alternatives using bootstrap," Economics Letters, Elsevier, vol. 77(3), pages 343-347, November.
    7. Wenying Zeng & Songbai Song & Yan Kang & Xuan Gao & Rui Ma, 2022. "Response of Runoff to Meteorological Factors Based on Time-Varying Parameter Vector Autoregressive Model with Stochastic Volatility in Arid and Semi-Arid Area of Weihe River Basin," Sustainability, MDPI, vol. 14(12), pages 1-12, June.
    8. Galeotti, Marzio & Manera, Matteo & Lanza, Alessandro, 2006. "On the Robustness of Robustness Checks of the Environmental Kuznets Curve," Climate Change Modelling and Policy Working Papers 12045, Fondazione Eni Enrico Mattei (FEEM).
    9. Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "What is what?: A simple time-domain test of long-memory vs. structural breaks," Economics Working Papers 954, Department of Economics and Business, Universitat Pompeu Fabra.
    10. Li, Jie & Cheng, Pengfei & Qian, Xingyue, 2023. "Do mineral rents endowment and agricultural raw material imports determine natural resource management in the United States?," Resources Policy, Elsevier, vol. 85(PA).
    11. Hassler, Uwe & Breitung, Jörg, 2002. "A Residual-Based LM Test for Fractional Cointegration," Darmstadt Discussion Papers in Economics 114, Darmstadt University of Technology, Department of Law and Economics.
    12. Franco, G.C. & Reisen, V.A. & Alves, F.A., 2013. "Bootstrap tests for fractional integration and cointegration: A comparison study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 87(C), pages 19-29.
    13. Kramer, Walter & Marmol, Francesc, 2004. "The power of residual-based tests for cointegration when residuals are fractionally integrated," Economics Letters, Elsevier, vol. 82(1), pages 63-69, January.
    14. V. A. Reisen & C. Lévy-Leduc & M. Bourguignon & H. Boistard, 2017. "Robust Dickey–Fuller tests based on ranks for time series with additive outliers," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(1), pages 115-131, January.
    15. Guglielmo Maria Caporale & Luis A. Gil-Alana & OlaOluwa Simon Yaya, 2022. "Modelling Persistence and Non-Linearities in the US Treasury 10-Year Bond Yields," CESifo Working Paper Series 9554, CESifo.
    16. Krämer Walter, 2002. "Statistische Besonderheiten von Finanzzeitreihen / Statistical Properties of Financial Time Series," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 222(2), pages 210-229, April.
    17. repec:sek:ibmpro:3004657 is not listed on IDEAS
    18. Guglielmo Maria Caporale & Luis A Gil-Alana & Olaoluwa Simon Yaya, 2022. "Modeling persistence and non-linearities in the US treasury 10-year bond yields," Economics Bulletin, AccessEcon, vol. 42(3), pages 1221-1229.
    19. Marzio Galeotti & Matteo Manera & Alessandro Lanza, 2009. "On the Robustness of Robustness Checks of the Environmental Kuznets Curve Hypothesis," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(4), pages 551-574, April.
    20. Matei Demetrescu, 2009. "Panel unit root testing and the martingale difference hypothesis for German stocks," Economics Bulletin, AccessEcon, vol. 29(3), pages 1749-1759.

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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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