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Linganisha mbinu

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Mifumo ya Kumbukumbu-Ndefu (ARFIMA, FIGARCH)×Mfumo wa ARIMA (Autoregressive Integrated Moving Average)×
NyanjaFedhaEkonometriki
FamiliaRegression modelRegression model
Mwaka wa asili19802015
MwanzilishiGranger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Box & Jenkins (Box-Jenkins methodology)
AinaFractionally integrated time series modelUnivariate time-series model
Chanzo asiliaGranger, 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 ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021
Majina mbadalaARFIMA, FIGARCH, fractionally integrated models, fractional integrationBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
Zinazohusiana45
MuhtasariLong-memory models are fractional-integration methods that capture genuine long memory through a hyperbolically decaying autocorrelation structure. ARFIMA, introduced by Granger and Joyeux (1980), models long memory in return series, while FIGARCH, introduced by Baillie, Bollerslev and Mikkelsen (1996), captures long memory in volatility series; the parameter d measures the degree of fractional integration.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).
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ScholarGateLinganisha mbinu: Long-Memory Models · ARIMA. Imepatikana 2026-06-17 kutoka https://scholargate.app/sw/compare