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ARIMA(自回归积分滑动平均)模型×长记忆模型(ARFIMA, FIGARCH)×
领域计量经济学金融学
方法族Regression modelRegression model
起源年份20151980
提出者Box & Jenkins (Box-Jenkins methodology)Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)
类型Univariate time-series modelFractionally integrated time series model
开创性文献Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Granger, 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 ↗
别名Box-Jenkins model, ARIMA(p,d,q), ARIMA ModeliARFIMA, FIGARCH, fractionally integrated models, fractional integration
相关54
摘要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).Long-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.
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ScholarGate方法对比: ARIMA · Long-Memory Models. 于 2026-06-19 检索自 https://scholargate.app/zh/compare