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Model ARIMA (Autoregresyjny Zintegrowany Model Średniej Ruchomej)×Model DCC-GARCH (Dynamic Conditional Correlation)×Model EGARCH (Exponential GARCH)×
DziedzinaEkonometriaEkonometriaEkonometria
RodzinaRegression modelRegression modelRegression model
Rok powstania197020021991
TwórcaGeorge Box and Gwilym JenkinsRobert F. EngleDaniel B. Nelson
TypTime series forecasting modelMultivariate volatility modelVolatility / conditional variance model
Źródło pierwotneBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗
Inne nazwyARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCCExponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
Pokrewne656
PodsumowanieThe ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.The DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series.The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets.
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ScholarGatePorównaj metody: ARIMA model · DCC-GARCH model · EGARCH model. Pobrano 2026-06-19 z https://scholargate.app/pl/compare