قارن الطرق

	نمذجة التقلبات الشرطية متعددة المتغيرات BEKK-GARCH	نموذج الارتباط الشرطي الديناميكي (DCC-GARCH)	نموذج الانحدار الذاتي المتجهي (VAR)
المجال	الاقتصاد القياسي	التمويل	الاقتصاد القياسي
العائلة	Regression model	Regression model	Regression model
سنة النشأة	1995	2002	2005
صاحب الطريقة	Robert Engle & Kenneth Kroner	Robert F. Engle	Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
النوع	Multivariate conditional volatility model	Multivariate volatility model	Multivariate time-series model
المصدر التأسيسي	Engle, R. F., & Kroner, K. F. (1995). Multivariate simultaneous generalized ARCH. Econometric Theory, 11(1), 122–150.	Engle, R. (2002). Dynamic Conditional Correlation: A Simple Class of Multivariate GARCH Models. Journal of Business & Economic Statistics, 20(3), 339-350.	Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer.
الأسماء البديلة	BEKK Model, Baba-Engle-Kraft-Kroner GARCH, Multivariate BEKK, BEKK-ÇARCH Modeli	dynamic conditional correlation, Engle DCC, multivariate GARCH, DCC-GARCH — Dinamik Koşullu Korelasyon	vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
ذات صلة	3	5	4
الملخص	BEKK-GARCH, proposed by Engle and Kroner (1995), is a multivariate GARCH specification that models the time-varying conditional covariance matrix of a system of financial return series. Named after Baba, Engle, Kraft, and Kroner, it is the dominant framework for quantifying volatility spillovers and dynamic correlations across multiple assets or markets simultaneously, widely adopted by financial economists and risk managers since the mid-1990s.	DCC-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.	Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).