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On Prediction With Fractionally Differenced Arima Models

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  • M. S. Peiris
  • B. J. C. Perera

Abstract

. This paper considers some extended results associated with the predictors of long‐memory time series models. These direct methods of obtaining predictors of fractionally differenced autoregressive integrated moving‐average (ARIMA) processes have advantages from the theoretical point of view.

Suggested Citation

  • M. S. Peiris & B. J. C. Perera, 1988. "On Prediction With Fractionally Differenced Arima Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 9(3), pages 215-220, May.
    • Handle: RePEc:bla:jtsera:v:9:y:1988:i:3:p:215-220
    DOI: 10.1111/j.1467-9892.1988.tb00465.x
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    Cited by:

    1. Rob Hyndman & Heather Booth & Farah Yasmeen, 2013. "Coherent Mortality Forecasting: The Product-Ratio Method With Functional Time Series Models," Demography, Springer;Population Association of America (PAA), vol. 50(1), pages 261-283, February.
    2. Mohamed Boutahar, 2007. "Optimal prediction with nonstationary ARFIMA model," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 26(2), pages 95-111.
    3. Javier Contreras-Reyes & Wilfredo Palma, 2013. "Statistical analysis of autoregressive fractionally integrated moving average models in R," Computational Statistics, Springer, vol. 28(5), pages 2309-2331, October.
    4. Hazem Krichene & Mhamed-Ali El-Aroui, 2018. "Agent-Based Simulation and Microstructure Modeling of Immature Stock Markets," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 493-511, March.
    5. Ana Pérez & Esther Ruiz, 2002. "Modelos de memoria larga para series económicas y financieras," Investigaciones Economicas, Fundación SEPI, vol. 26(3), pages 395-445, September.
    6. Costa, Marcelo Azevedo & Ruiz-Cárdenas, Ramiro & Mineti, Leandro Brioschi & Prates, Marcos Oliveira, 2021. "Dynamic time scan forecasting for multi-step wind speed prediction," Renewable Energy, Elsevier, vol. 177(C), pages 584-595.
    7. Franses, Philip Hans & Ooms, Marius, 1997. "A periodic long-memory model for quarterly UK inflation," International Journal of Forecasting, Elsevier, vol. 13(1), pages 117-126, March.

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