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Confidence intervals for long memory regressions

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  • Ko, Kyungduk
  • Lee, Jaechoul
  • Lund, Robert

Abstract

This paper proposes an accurate confidence interval for the trend parameter in a linear regression model with long memory errors. The interval is based upon an equivalent sum of squares method and is shown to perform comparably to a weighted least squares interval. The advantages of the proposed interval lies in its relative ease of computation and should be attractive to practitioners.

Suggested Citation

  • Ko, Kyungduk & Lee, Jaechoul & Lund, Robert, 2008. "Confidence intervals for long memory regressions," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1894-1902, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:13:p:1894-1902
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    1. Javier Hidalgo & Peter M Robinson, 1997. "Time Series Regression with Long Range Dependence - (Now published in 'Annals of Statistics', 25, (1997)pp.2054-2083.)," STICERD - Econometrics Paper Series 318, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Kleiber, Christian, 2001. "Finite sample efficiency of OLS in linear regression models with long-memory disturbances," Economics Letters, Elsevier, vol. 72(2), pages 131-136, August.
    3. Jaechoul Lee, 2004. "Revisiting simple linear regression with autocorrelated errors," Biometrika, Biometrika Trust, vol. 91(1), pages 240-245, March.
    4. Doornik, Jurgen A. & Ooms, Marius, 2003. "Computational aspects of maximum likelihood estimation of autoregressive fractionally integrated moving average models," Computational Statistics & Data Analysis, Elsevier, vol. 42(3), pages 333-348, March.
    5. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    6. Hira Koul & Donatas Surgailis, 2000. "Asymptotic Normality of the Whittle Estimator in Linear Regression Models with Long Memory Errors," Statistical Inference for Stochastic Processes, Springer, vol. 3(1), pages 129-147, January.
    7. 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.
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    Cited by:

    1. Daron Acemoglu & James A. Robinson, 2015. "The Rise and Decline of General Laws of Capitalism," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 3-28, Winter.

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