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Modèle ARIMA (Autoregressive Integrated Moving Average)×Exponential GARCH (EGARCH)×Autoregressive Conditional Heteroskedasticity généralisée (GARCH)×
DomaineÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression model
Année d'origine201519911986
Auteur d'origineBox & Jenkins (Box-Jenkins methodology)NelsonTim Bollerslev
TypeUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Conditional volatility model
Source fondatriceBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗
AliasBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHGARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli
Apparentées545
RésuméARIMA 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).EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.
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ScholarGateComparer des méthodes: ARIMA · EGARCH · GARCH. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare