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Regression Of Spectral Estimators With Fractionally Integrated Time Series


  • Uwe Hassler


Abstract. Assuming a normal distribution we supplement the proof of periodogram regression suggested by Geweke and Porter‐Hudak (J. Time Ser. Anal. 4 (1983) 221–38) in order to estimate and test the difference parameter of fractionally integrated autoregressive moving‐average models. The procedure proposed by Kashyap and Eom (J. Time Ser. Anal. 9 (1988) 35–41) arises as a special case and is found to be correct if the true parameter value is negative. Regression of the smoothed periodogram yields estimators for the difference parameter with much faster vanishing variance; no asymptotic distribution can be derived, however. In computer experiments we find that the smoothed periodogram regression may be superior to pure periodogram regression when we have to discriminate between autoregression and fractional integration

Suggested Citation

  • Uwe Hassler, 1993. "Regression Of Spectral Estimators With Fractionally Integrated Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(4), pages 369-380, July.
  • Handle: RePEc:bla:jtsera:v:14:y:1993:i:4:p:369-380
    DOI: 10.1111/j.1467-9892.1993.tb00151.x

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    1. 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.
    2. John Barkoulas & Christopher Baum & Mustafa Caglayan, 1999. "Fractional monetary dynamics," Applied Economics, Taylor & Francis Journals, vol. 31(11), pages 1393-1400.
    3. John Barkoulas & Christopher F. Baum & Gurkan S. Oguz, 1996. "Fractional Cointegration Analysis of Long Term International Interest Rates," Boston College Working Papers in Economics 315., Boston College Department of Economics.
    4. Barkoulas, John T. & Baum, Christopher F., 1996. "Long-term dependence in stock returns," Economics Letters, Elsevier, vol. 53(3), pages 253-259, December.
    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. 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.

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