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GJR-GARCH (Asymmetrisk GARCH)×ARCH-model (Autoregressiv Betinget Heteroskedasticitet)×ARIMA (Autoregressive Integrated Moving Average) Model×Exponential GARCH (EGARCH)×
FagområdeØkonometriØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression modelRegression model
Oprindelsesår1993198220151991
OphavspersonGlosten, Jagannathan & Runkle (1993); Zakoian (1994)Robert F. EngleBox & Jenkins (Box-Jenkins methodology)Nelson
TypeAsymmetric conditional volatility modelConditional volatility modelUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)
Oprindelig kildeGlosten, L. R., Jagannathan, R. & Runkle, D. E. (1993). On the Relation Between the Expected Value and the Volatility of the Nominal Excess Return on Stocks. The Journal of Finance, 48(5), 1779-1801. 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., 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 ↗
Aliasserasymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle)ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH
Relaterede5654
ResuméGJR-GARCH is a variant of the GARCH conditional-volatility model that captures the asymmetric effect of negative shocks on volatility using an indicator variable. It was introduced by Glosten, Jagannathan and Runkle (1993), with a closely related threshold formulation by Zakoian (1994).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.ARIMA 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.
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ScholarGateSammenlign metoder: GJR-GARCH · ARCH model · ARIMA · EGARCH. Hentet 2026-06-19 fra https://scholargate.app/da/compare