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长记忆模型(ARFIMA, FIGARCH)×ARIMA(自回归积分滑动平均)模型×普通最小二乘法 (OLS) 回归×
领域金融学计量经济学计量经济学
方法族Regression modelRegression modelRegression model
起源年份198020152019
提出者Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)Box & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squares
类型Fractionally integrated time series modelUnivariate time-series modelLinear regression
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: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
别名ARFIMA, FIGARCH, fractionally integrated models, fractional integrationBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
相关455
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).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGate方法对比: Long-Memory Models · ARIMA · OLS Regression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare