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Model TGARCH (Threshold GARCH)×Model ARIMA (Autoregresyjny Zintegrowany Model Średniej Ruchomej)×Model EGARCH (Exponential GARCH)×
DziedzinaEkonometriaEkonometriaEkonometria
RodzinaRegression modelRegression modelRegression model
Rok powstania1993-199419701991
TwórcaZakoian (1994); Glosten, Jagannathan & Runkle (1993)George Box and Gwilym JenkinsDaniel B. Nelson
TypAsymmetric volatility modelTime series forecasting modelVolatility / conditional variance model
Źródło pierwotneZakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗
Inne nazwyThreshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCHARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
Pokrewne666
PodsumowanieThe Threshold GARCH (TGARCH) model extends the standard GARCH framework by allowing positive and negative return shocks to have asymmetric effects on conditional variance. Negative shocks — bad news — typically amplify volatility more than positive shocks of the same magnitude, a stylised fact known as the leverage effect. TGARCH captures this asymmetry through a threshold indicator that switches on when the previous period's shock was negative.The 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 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: TGARCH model · ARIMA model · EGARCH model. Pobrano 2026-06-19 z https://scholargate.app/pl/compare