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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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    Cited by:

    1. Uwe Hassler & Matei Demetrescu & Adina Tarcolea, 2011. "Asymptotic normal tests for integration in panels with cross-dependent units," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(2), pages 187-204, June.
    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. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Hassler, Uwe & Breitung, Jörg, 2002. "A Residual-Based LM Test for Fractional Cointegration," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 37318, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    11. 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.
    12. 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.
    13. 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).
    14. repec:sek:ibmpro:3004657 is not listed on IDEAS
    15. 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.
    16. 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.
    17. Matei Demetrescu, 2009. "Panel unit root testing and the martingale difference hypothesis for German stocks," Economics Bulletin, AccessEcon, vol. 29(3), pages 1749-1759.
    18. 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).
    19. 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.

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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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