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Seasonal Misspecification in the Context of Fractionally Integrated Univariate Time Series

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  • Luis Gil-Alana

Abstract

We investigate in this article the implications that seasonal misspecificationproduces in the context of fractionally integrated models. We use a versionof the tests of Robinson (1994) that permits us to test both deterministic andstochastic seasonality. Several Monte Carlo experiments are conducted toexamine the power of the tests in the context of seasonal misspecificationand, an empirical application, using data of the U.S. monetary aggregate, isalso carried out at the end of the article. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Luis Gil-Alana, 2003. "Seasonal Misspecification in the Context of Fractionally Integrated Univariate Time Series," Computational Economics, Springer;Society for Computational Economics, vol. 22(1), pages 65-74, August.
    • Handle: RePEc:kap:compec:v:22:y:2003:i:1:p:65-74
    DOI: 10.1023/A:1024561209304
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    References listed on IDEAS

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    1. L. A. Gil‐Alana, 2001. "Testing Stochastic Cycles in Macroeconomic Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(4), pages 411-430, July.
    2. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    3. L. A. Gil-Alana & P. M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 95-114.
    4. Ray, Bonnie K., 1993. "Long-range forecasting of IBM product revenues using a seasonal fractionally differenced ARMA model," International Journal of Forecasting, Elsevier, vol. 9(2), pages 255-269, August.
    5. Carlin, J. B. & Dempster, A. P. & Jonas, A. B., 1985. "On models and methods for Bayesian time series analysis," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 67-90.
    6. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December.
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    Citations

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    Cited by:

    1. Guglielmo Maria Caporale & Luis A. Gil‐Alana, 2007. "Nonlinearities and Fractional Integration in the US Unemployment Rate," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(4), pages 521-544, August.
    2. Gil-Alana, L.A., 2008. "Testing of seasonal integration and cointegration with fractionally integrated techniques: An application to the Danish labour demand," Economic Modelling, Elsevier, vol. 25(2), pages 326-339, March.

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