Regression model
ARFIMA: Fractionally Integrated ARMA Model
ARFIMA is a time series model that captures long-memory behaviour using a fractional differencing parameter d, generalising the integer differencing of ARIMA. It was introduced by Granger and Joyeux (1980) and formalised by Hosking (1981) to describe series whose autocorrelations decay slowly rather than abruptly.
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Sources
- Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15–29. DOI: 10.1111/j.1467-9892.1980.tb00297.x ↗
- Hosking, J. R. M. (1981). Fractional Differencing. Biometrika, 68(1), 165–176. DOI: 10.1093/biomet/68.1.165 ↗