विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| चरम मान सिद्धांत (EVT)× | एक्सपोनेंशियल GARCH (EGARCH)× | |
|---|---|---|
| क्षेत्र≠ | वित्त | अर्थमिति |
| परिवार | Regression model | Regression model |
| उद्भव वर्ष≠ | 2001 | 1991 |
| प्रवर्तक≠ | Coles (textbook treatment); McNeil, Frey & Embrechts | Nelson |
| प्रकार≠ | Tail / extreme-event model | Conditional volatility model (asymmetric GARCH variant) |
| मौलिक स्रोत≠ | 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 ↗ |
| उपनाम≠ | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH |
| संबंधित≠ | 5 | 4 |
| सारांश≠ | 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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