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Model ARIMA (Autoregressive Integrated Moving Average)×Model DCC-GARCH (Dynamic Conditional Correlation)×Model EGARCH (Exponential GARCH)×
BidangEkonometrikaEkonometrikaEkonometrika
KeluargaRegression modelRegression modelRegression model
Tahun asal197020021991
PencetusGeorge Box and Gwilym JenkinsRobert F. EngleDaniel B. Nelson
TipeTime series forecasting modelMultivariate volatility modelVolatility / conditional variance model
Sumber perintisBox, 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 ↗
AliasARIMA, 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
Terkait656
RingkasanThe 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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ScholarGateBandingkan metode: ARIMA model · DCC-GARCH model · EGARCH model. Diakses 2026-06-19 dari https://scholargate.app/id/compare