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Bias In An Estimator Of The Fractional Difference Parameter

Author

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  • Christos Agiakloglou
  • Paul Newbold
  • Mark Wohar

Abstract

Abstract. An estimator of the difference parameter in a class of long‐memory time series models is examined. It is shown that, in particular circumstances, the estimator can be badly biased, and tests based on it consequently seriously misleading. The source of this bias is identified, and it is shown that its magnitude can readily be predicted through straightforward analytical arguments.

Suggested Citation

  • Christos Agiakloglou & Paul Newbold & Mark Wohar, 1993. "Bias In An Estimator Of The Fractional Difference Parameter," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(3), pages 235-246, May.
  • Handle: RePEc:bla:jtsera:v:14:y:1993:i:3:p:235-246
    DOI: 10.1111/j.1467-9892.1993.tb00141.x
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    Citations

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    Cited by:

    1. David G. McMillan, 2010. "Level-shifts and non-linearity in US financial ratios: Implications for returns predictability and the present value model," Review of Accounting and Finance, Emerald Group Publishing, vol. 9(2), pages 189-207, May.
    2. John T. Barkoulas & Christopher F. Baum, 1997. "Fractional Differencing Modeling And Forecasting Of Eurocurrency Deposit Rates," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(3), pages 355-372, September.
    3. Valerie Mignon & Sandrine Lardic, 2004. "The exact maximum likelihood estimation of ARFIMA processes and model selection criteria: A Monte Carlo study," Economics Bulletin, AccessEcon, vol. 3(21), pages 1-16.
    4. John T. Barkoulas & Christopher F. Baum & Mustafa Caglayan & Atreya Chakraborty, 1998. "Persistent Dependence in Foreign Exchange Rates? A Reexamination," Boston College Working Papers in Economics 377, Boston College Department of Economics, revised 21 Apr 2000.
    5. Maharaj, E.A., 1999. "A Test for the Difference Parameter of the ARFIMA Model Using the Moving Blocks Bootstrap," Monash Econometrics and Business Statistics Working Papers 11/99, Monash University, Department of Econometrics and Business Statistics.
    6. John Barkoulas & Christopher Baum & Nickolaos Travlos, 2000. "Long memory in the Greek stock market," Applied Financial Economics, Taylor & Francis Journals, vol. 10(2), pages 177-184.
    7. Cheung, Yin-Wong & Lai, Kon S., 1995. "A search for long memory in international stock market returns," Journal of International Money and Finance, Elsevier, vol. 14(4), pages 597-615, August.
    8. repec:psc:journl:v:10:y:2018:i:1:p:1-25 is not listed on IDEAS
    9. John Barkoulas & Christopher F. Baum, 1997. "Long Memory and Forecasting in Euroyen Deposit Rates," Boston College Working Papers in Economics 361, Boston College Department of Economics.
    10. Leïla Nouira & Mohamed Boutahar & Vêlayoudom Marimoutou, 2009. "The effect of tapering on the semiparametric estimators for nonstationary long memory processes," Statistical Papers, Springer, vol. 50(2), pages 225-248, March.

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