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Teoria Valorilor Extreme (EVT)×Modelul ARIMA (Autoregresiv Integrat cu Medii Mobile)×GARCH Exponențial (EGARCH)×Volatilitatea Realizată și Modelul HAR×
DomeniuFinanțeEconometrieEconometrieFinanțe
FamilieRegression modelRegression modelRegression modelRegression model
Anul apariției2001201519912009
Autorul originalColes (textbook treatment); McNeil, Frey & EmbrechtsBox & Jenkins (Box-Jenkins methodology)NelsonCorsi (HAR model); Andersen, Bollerslev, Diebold & Labys (realized volatility)
TipTail / extreme-event modelUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Time-series regression of realized variance
Sursa seminalăColes, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598Box, 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 ↗Corsi, F. (2009). A Simple Approximate Long-Memory Model of Realized Volatility. Journal of Financial Econometrics, 7(2), 174-196. DOI ↗
Denumiri alternativeEVT, generalized extreme value, generalized Pareto distribution, peaks over thresholdBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHrealized variance, HAR model, heterogeneous autoregressive model of realized volatility, HAR-RV
Înrudite5545
RezumatExtreme 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.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.Realized volatility estimates an asset's variance directly from high-frequency intraday returns rather than from a parametric latent process. The Heterogeneous Autoregressive (HAR) model of Corsi (2009), building on the realized-volatility framework of Andersen, Bollerslev, Diebold and Labys (2003), forecasts this measure by combining daily, weekly, and monthly volatility components, and is a strong alternative to GARCH for volatility prediction.
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ScholarGateCompară metode: Extreme Value Theory · ARIMA · EGARCH · Realized Volatility. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare