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长记忆模型(ARFIMA, FIGARCH)×ARIMA(自回归积分滑动平均)模型×
领域金融学计量经济学
方法族Regression modelRegression model
起源年份19802015
提出者Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Box & Jenkins (Box-Jenkins methodology)
类型Fractionally integrated time series modelUnivariate time-series model
开创性文献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 ↗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
别名ARFIMA, FIGARCH, fractionally integrated models, fractional integrationBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeli
相关45
摘要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.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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ScholarGate方法对比: Long-Memory Models · ARIMA. 于 2026-06-17 检索自 https://scholargate.app/zh/compare