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Effect of the order of fractional integration on impulse responses

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  • Hassler, Uwe
  • Hosseinkouchack, Mehdi

Abstract

For a fractional time series model integrated of order d we derive two results. First, it is obtained how a change in d affects the coefficients of the integration filter. For long memory (d>0), the effect is always positive; in the case of anti-persistence (d<0) the effect may be positive or negative depending on d. Second, those results are extended to the sequence of autocorrelations for fractionally integrated noise.

Suggested Citation

  • Hassler, Uwe & Hosseinkouchack, Mehdi, 2014. "Effect of the order of fractional integration on impulse responses," Economics Letters, Elsevier, vol. 125(2), pages 311-314.
    • Handle: RePEc:eee:ecolet:v:125:y:2014:i:2:p:311-314
    DOI: 10.1016/j.econlet.2014.09.010
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    References listed on IDEAS

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    1. Hassler, Uwe, 2012. "Impulse responses of antipersistent processes," Economics Letters, Elsevier, vol. 116(3), pages 454-456.
    2. Bent Jesper Christensen & Morten Ørregaard Nielsen, 2007. "The Effect of Long Memory in Volatility on Stock Market Fluctuations," The Review of Economics and Statistics, MIT Press, vol. 89(4), pages 684-700, November.
    3. Hassler, Uwe & Wolters, Jurgen, 1995. "Long Memory in Inflation Rates: International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 37-45, January.
    4. Ivan Paya & Agustin Duarte & Ken Holden, 2007. "On the Relationship between Inflation Persistence and Temporal Aggregation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1521-1531, September.
    5. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
    6. John Y. Campbell & N. Gregory Mankiw, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 857-880.
    7. Hassler, Uwe & Kokoszka, Piotr, 2010. "Impulse Responses Of Fractionally Integrated Processes With Long Memory," Econometric Theory, Cambridge University Press, vol. 26(6), pages 1855-1861, December.
    8. Timothy Cogley & Thomas J. Sargent, 2005. "Drift and Volatilities: Monetary Policies and Outcomes in the Post WWII U.S," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 262-302, April.
    9. David Byers & James Davidson & David Peel, 1997. "Modelling Political Popularity: an Analysis of Long‐range Dependence in Opinion Poll Series," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 160(3), pages 471-490, September.
    10. Laura Mayoral & Juan J. Dolado & Jesús Gonzalo, 2003. "Long-range dependence in Spanish political opinion poll series," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 137-155.
    11. Erhard Reschenhofer & Benedikt M. Pötscher & Michael A. Hauser, 1999. "Measuring persistence in aggregate output: ARMA models, fractionally integrated ARMA models and nonparametric procedures," Empirical Economics, Springer, vol. 24(2), pages 243-269.
    12. David Byers & James Davidson & David Peel, 2007. "The long memory model of political support: some further results," Applied Economics, Taylor & Francis Journals, vol. 39(20), pages 2547-2552.
    13. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    14. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
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    More about this item

    Keywords

    Long memory; Anti-persistence; Decay of autocorrelation;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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