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TGARCH-mudel (Threshold GARCH)×Autoregressiivse tingimusliku heteroskedastilisuse (ARCH) mudel×ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×DCC-GARCH mudel (dünaamiline tingimuslik korrelatsioon)×
ValdkondÖkonomeetriaÖkonomeetriaÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression modelRegression modelRegression model
Tekkeaasta1993-1994198219702002
LoojaZakoian (1994); Glosten, Jagannathan & Runkle (1993)Robert F. EngleGeorge Box and Gwilym JenkinsRobert F. Engle
TüüpAsymmetric volatility modelConditional volatility modelTime series forecasting modelMultivariate volatility model
AlgallikasZakoian, 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 ↗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 ↗
RööpnimetusedThreshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCHARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance modelARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)DCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC
Seotud6665
KokkuvõteThe 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.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.
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ScholarGateVõrdle meetodeid: TGARCH model · ARCH model · ARIMA model · DCC-GARCH model. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare