השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| תורת הערכים הקיצוניים (EVT)× | Exponential GARCH (EGARCH)× | |
|---|---|---|
| תחום≠ | מימון | אקונומטריקה |
| משפחה | Regression model | Regression model |
| שנת המקור≠ | 2001 | 1991 |
| הוגה השיטה≠ | Coles (textbook treatment); McNeil, Frey & Embrechts | Nelson |
| סוג≠ | Tail / extreme-event model | Conditional volatility model (asymmetric GARCH variant) |
| מקור מכונן≠ | Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598 | Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗ |
| כינויים≠ | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH |
| קשורות≠ | 5 | 4 |
| תקציר≠ | 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. | 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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