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DCC-GARCH (Dynamic Conditional Correlation)×কপूला মডেল (গাউসিয়ান, t, ক্লেটন, গাম্বেল, ফ্র্যাঙ্ক)×চরম মান তত্ত্ব (Extreme Value Theory - EVT)×
ক্ষেত্রঅর্থায়নঅর্থায়নঅর্থায়ন
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর200219592001
প্রবর্তকRobert F. EngleSklar (1959); dependence-concept treatment by Joe (1997)Coles (textbook treatment); McNeil, Frey & Embrechts
ধরনMultivariate volatility modelDependence modelTail / extreme-event model
মৌলিক উৎসEngle, R. (2002). Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models. Journal of Business & Economic Statistics, 20(3), 339-350. DOI ↗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 ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
অপর নামdynamic conditional correlation, Engle DCC, multivariate GARCH, DCC-GARCH — Dinamik Koşullu Korelasyoncopulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank)EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
সম্পর্কিত555
সারসংক্ষেপDCC-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.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.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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ScholarGateপদ্ধতির তুলনা করুন: DCC-GARCH · Copula Models · Extreme Value Theory. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare