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Estimating the Fractionally Integrated Model with a Break in the Differencing Parameter

Author

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  • Terence Tai-Leung Chong

    (The Chinese University of Hong Kong)

Abstract

This note examines a new problem in the structural-change literature. A fractionally integrated model is assumed to experience a change in the differencing parameter at an unknown time. We develop consistent estimators of the change point and the pre- and post-shift differencing parameters.

Suggested Citation

  • Terence Tai-Leung Chong, 2007. "Estimating the Fractionally Integrated Model with a Break in the Differencing Parameter," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-07c20012
    as

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    References listed on IDEAS

    as
    1. Chong, Terence Tai-Leung, 2001. "Structural Change In Ar(1) Models," Econometric Theory, Cambridge University Press, vol. 17(1), pages 87-155, February.
    2. Jushan Bai & Haiqiang Chen & Terence Tai-Leung Chong & Seraph Xin Wang, 2008. "Generic consistency of the break-point estimators under specification errors in a multiple-break model," Econometrics Journal, Royal Economic Society, vol. 11(2), pages 287-307, July.
    3. Terence Tai-Leung Chong, 2006. "The polynomial aggregated AR(1) model," Econometrics Journal, Royal Economic Society, vol. 9(1), pages 98-122, March.
    4. Chong, Terence Tai-Leung, 2000. "Estimating the differencing parameter via the partial autocorrelation function," Journal of Econometrics, Elsevier, vol. 97(2), pages 365-381, August.
    5. Wright, Jonathan H., 1999. "The Local Asymptotic Power Of Certain Tests For Fractional Integration," Econometric Theory, Cambridge University Press, vol. 15(5), pages 704-709, October.
    6. Hinich Melvin J. & Chong Terence T.L., 2007. "A Class Test for Fractional Integration," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(2), pages 1-24, May.
    7. Laura Mayoral, 2007. "Minimum distance estimation of stationary and non-stationary ARFIMA processes," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 124-148, March.
    8. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    9. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
    10. Chen, Willa W. & Deo, Rohit S., 2004. "A Generalized Portmanteau Goodness-Of-Fit Test For Time Series Models," Econometric Theory, Cambridge University Press, vol. 20(2), pages 382-416, April.
    11. Terence Tai-Leung Chong, 2003. "Generic consistency of the break-point estimator under specification errors," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 167-192, June.
    12. Tieslau, Margie A. & Schmidt, Peter & Baillie, Richard T., 1996. "A minimum distance estimator for long-memory processes," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 249-264.
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    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

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