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Модель ARIMA (авторегрессионная интегрированная скользящая средняя)×Модели долгой памяти (ARFIMA, FIGARCH)×
ОбластьЭконометрикаФинансы
СемействоRegression modelRegression model
Год появления20151980
Автор методаBox & Jenkins (Box-Jenkins methodology)Granger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)
ТипUnivariate time-series modelFractionally integrated time series model
Основополагающий источникBox, 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 ↗
Другие названияBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliARFIMA, FIGARCH, fractionally integrated models, fractional integration
Связанные54
СводкаARIMA 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.
ScholarGateНабор данных
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ScholarGateСравнение методов: ARIMA · Long-Memory Models. Получено 2026-06-19 из https://scholargate.app/ru/compare