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Modèle ARIMA (Autoregressive Integrated Moving Average)×Exponential GARCH (EGARCH)×Autoregressive Conditional Heteroskedasticity généralisée (GARCH)×Régression par Moindres Carrés Ordinaires (MCO)×
DomaineÉconométrieÉconométrieÉconométrieÉconométrie
FamilleRegression modelRegression modelRegression modelRegression model
Année d'origine2015199119862019
Auteur d'origineBox & Jenkins (Box-Jenkins methodology)NelsonTim BollerslevWooldridge (textbook treatment); classical least squares
TypeUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Conditional volatility modelLinear regression
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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
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 Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Apparentées5455
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.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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ScholarGateComparer des méthodes: ARIMA · EGARCH · GARCH · OLS Regression. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare