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Estimation of the ARFIMA (p, d, q) fractional differencing parameter (d) using the classical rescaled adjusted range technique

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  • Ellis, Craig

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  • Ellis, Craig, 1999. "Estimation of the ARFIMA (p, d, q) fractional differencing parameter (d) using the classical rescaled adjusted range technique," International Review of Financial Analysis, Elsevier, vol. 8(1), pages 53-65.
    • Handle: RePEc:eee:finana:v:8:y:1999:i:1:p:53-65
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    1. Barkoulas, John T. & Baum, Christopher F., 1996. "Long-term dependence in stock returns," Economics Letters, Elsevier, vol. 53(3), pages 253-259, December.
    2. L. C. G. Rogers, 1997. "Arbitrage with Fractional Brownian Motion," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 95-105, January.
    3. Diebold, Francis X. & Rudebusch, Glenn D., 1989. "Long memory and persistence in aggregate output," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 189-209, September.
    4. Cheung, Yin-Wong, 1993. "Long Memory in Foreign-Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 93-101, January.
    5. Jacobsen, Ben, 1996. "Long term dependence in stock returns," Journal of Empirical Finance, Elsevier, vol. 3(4), pages 393-417, December.
    6. 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.
    7. Craig Ellis, 1998. "Modelling the Expected Value of the Classical Rescaled Adjusted Range for Long-Term Dependent Series," Working Paper Series 79, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    8. Hauser, Michael A. & Reschenhofer, Erhard, 1995. "Estimation of the fractionally differencing parameter with the R/S method," Computational Statistics & Data Analysis, Elsevier, vol. 20(5), pages 569-579, November.
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    Cited by:

    1. Manuel Monge & Luis A. Gil-Alana, 2020. "The Lithium Industry and Analysis of the Beta Term Structure of Oil Companies," Risks, MDPI, vol. 8(4), pages 1-17, December.
    2. Batten, Jonathan & Ellis, Craig & Hogan, Warren, 2002. "Scaling the volatility of credit spreads: Evidence from Australian dollar eurobonds," International Review of Financial Analysis, Elsevier, vol. 11(3), pages 331-344.
    3. Ellis, Craig & Wilson, Patrick, 2004. "Another look at the forecast performance of ARFIMA models," International Review of Financial Analysis, Elsevier, vol. 13(1), pages 63-81.
    4. Ding, Liang & Luo, Yi & Lin, Yan & Huang, Yirong, 2021. "Revisiting the relations between Hurst exponent and fractional differencing parameter for long memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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