পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| কপूला মডেল (গাউসিয়ান, t, ক্লেটন, গাম্বেল, ফ্র্যাঙ্ক)× | এক্সপোনেনশিয়াল GARCH (EGARCH)× | চরম মান তত্ত্ব (Extreme Value Theory - EVT)× | |
|---|---|---|---|
| ক্ষেত্র≠ | অর্থায়ন | অর্থমিতি | অর্থায়ন |
| পরিবার | Regression model | Regression model | Regression model |
| উদ্ভবের বছর≠ | 1959 | 1991 | 2001 |
| প্রবর্তক≠ | Sklar (1959); dependence-concept treatment by Joe (1997) | Nelson | Coles (textbook treatment); McNeil, Frey & Embrechts |
| ধরন≠ | Dependence model | Conditional volatility model (asymmetric GARCH variant) | Tail / extreme-event model |
| মৌলিক উৎস≠ | Sklar, 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 |
| অপর নাম≠ | copulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank) | exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCH | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold |
| সম্পর্কিত≠ | 5 | 4 | 5 |
| সারসংক্ষেপ≠ | 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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