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DCC-GARCH (dinamička uvjetna korelacija)×Model ARIMA (Autoregresivni integrirani pokretni prosjek)×Kopula modeli (Gauss, t, Clayton, Gumbel, Frank)×EGARCH (Exponential GARCH)×Teorija ekstremnih vrijednosti (EVT)×
PodručjeFinancijeEkonometrijaFinancijeEkonometrijaFinancije
ObiteljRegression modelRegression modelRegression modelRegression modelRegression model
Godina nastanka20022015195919912001
TvoracRobert F. EngleBox & Jenkins (Box-Jenkins methodology)Sklar (1959); dependence-concept treatment by Joe (1997)NelsonColes (textbook treatment); McNeil, Frey & Embrechts
VrstaMultivariate volatility modelUnivariate time-series modelDependence modelConditional volatility model (asymmetric GARCH variant)Tail / extreme-event model
Temeljni izvorEngle, R. (2002). Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models. Journal of Business & Economic Statistics, 20(3), 339-350. 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: 978-1118675021Sklar, A. (1959). Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut Statistique de l'Université de Paris, 8, 229-231. link ↗Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
Drugi nazividynamic conditional correlation, Engle DCC, multivariate GARCH, DCC-GARCH — Dinamik Koşullu KorelasyonBox-Jenkins model, ARIMA(p,d,q), ARIMA Modelicopulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank)exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHEVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
Srodne55545
SažetakDCC-GARCH is Engle's (2002) multivariate volatility model that lets the correlations between several assets change over time. A separate univariate GARCH model is fitted to each series, and then the dynamic correlation matrix is estimated in a second, separate step.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).Copula models are a family of functions that describe the dependence structure between variables separately from their individual (marginal) distributions. The foundation is Sklar's theorem (1959), which shows that any multivariate distribution can be split into its marginals plus a copula; Joe (1997) developed the modern catalogue of dependence concepts. They are central to portfolio risk and credit modelling.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.Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold.
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ScholarGateUsporedite metode: DCC-GARCH · ARIMA · Copula Models · EGARCH · Extreme Value Theory. Preuzeto 2026-06-19 s https://scholargate.app/hr/compare