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TGARCH-model (Threshold GARCH)×ARCH-model (Autoregressiv Betinget Heteroskedasticitet)×ARIMA-modellen (Autoregressive Integrated Moving Average)×
FagområdeØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression model
Oprindelsesår1993-199419821970
OphavspersonZakoian (1994); Glosten, Jagannathan & Runkle (1993)Robert F. EngleGeorge Box and Gwilym Jenkins
TypeAsymmetric volatility modelConditional volatility modelTime series forecasting model
Oprindelig kildeZakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
AliasserThreshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Relaterede666
ResuméThe 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 ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering.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.
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ScholarGateSammenlign metoder: TGARCH model · ARCH model · ARIMA model. Hentet 2026-06-19 fra https://scholargate.app/da/compare