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On Generalized Fractional Processes – A Correction

Author

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  • Henry L. Gray
  • Nien‐Fan Zhang
  • Wayne A. Woodward

Abstract

. A sign error in the proof of Theorem 3 of the paper by Gray et al. (1989) slightly changes a result of that theorem. In this correction we note the error along with the resulting changes that should be made in the results and the proof of the theorem. Additionally, another minor error in the proof is noted which does not effect the result.

Suggested Citation

  • Henry L. Gray & Nien‐Fan Zhang & Wayne A. Woodward, 1994. "On Generalized Fractional Processes – A Correction," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(5), pages 561-562, September.
    • Handle: RePEc:bla:jtsera:v:15:y:1994:i:5:p:561-562
    DOI: 10.1111/j.1467-9892.1994.tb00211.x
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    Cited by:

    1. Guglielmo Maria Caporale & Luis Alberiko Gil‐Alana, 2022. "Trends and cycles in macro series: The case of US real GDP," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 123-134, January.
    2. L. Gil-Alana, 2007. "Long run and cyclical strong dependence in macroeconomic time series: Nelson and Plosser revisited," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 34(2), pages 139-154, April.
    3. Guglielmo Caporale & Luis Gil-Alana, 2006. "Long memory at the long run and at the cyclical frequencies: modelling real wages in England, 1260–1994," Empirical Economics, Springer, vol. 31(1), pages 83-93, March.
    4. Guglielmo Maria Caporale & Luis A. Gil-Alana & Carlos Poza, 2021. "Cycles and Long-Range Behaviour in the European Stock Markets," Dynamic Modeling and Econometrics in Economics and Finance, in: Gilles Dufrénot & Takashi Matsuki (ed.), Recent Econometric Techniques for Macroeconomic and Financial Data, pages 293-302, Springer.
    5. Paul M. Beaumont & Aaron D. Smallwood, 2024. "Conditional sum of squares estimation of k-factor GARMA models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 108(3), pages 501-543, September.
    6. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana, 2023. "Long-Run Trends and Cycles in US House Prices," CESifo Working Paper Series 10751, CESifo.
    7. Guglielmo Caporale & Luis Gil-Alana, 2007. "Testing for deterministic and stochastic cycles in macroeconomic time series," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 34(2), pages 155-169, April.
    8. Guglielmo Maria Caporale & Luis Gil-Alana, 2012. "Long Memory and Volatility Dynamics in the US Dollar Exchange Rate," Multinational Finance Journal, Multinational Finance Journal, vol. 16(1-2), pages 105-136, March - J.
    9. Juan Carlos Cuestas & Luis A. Gil-Alana, 2012. "A Non-Linear Approach with Long Range Dependence Based on Chebyshev Polynomials," Working Papers 2012013, The University of Sheffield, Department of Economics.
    10. Aaron D. Smallwood & Stefan C. Norrbin, 2006. "Generalized long memory processes, failure of cointegration tests and exchange rate dynamics," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 409-417, May.
    11. Gil-Alana, L., 1998. "Multivariate Tests of Fractionally Integrated Hypotheses," Economics Working Papers eco98/19, European University Institute.
    12. Gil-Alana, Luis A. & Trani, Tommaso, 2019. "The cyclical structure of the UK inflation rate: 1210–2016," Economics Letters, Elsevier, vol. 181(C), pages 182-185.
    13. Giorgio Canarella & Luis A. Gil-Alana & Rangan Gupta & Stephen M. Miller, 2020. "Modeling US historical time-series prices and inflation using alternative long-memory approaches," Empirical Economics, Springer, vol. 58(4), pages 1491-1511, April.
    14. Richard Hunt & Shelton Peiris & Neville Weber, 2022. "Estimation methods for stationary Gegenbauer processes," Statistical Papers, Springer, vol. 63(6), pages 1707-1741, December.

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