قارن الطرق

	نموذج الانحدار الذاتي البيزي (AR)	نموذج الانحدار الذاتي المتجهي (VAR)
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1971	1980
صاحب الطريقة	Arnold Zellner; foundational Bayesian time-series work by West & Harrison	Christopher A. Sims
النوع	Bayesian time-series model	Multivariate time-series model
المصدر التأسيسي	Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
الأسماء البديلة	Bayesian autoregressive model, BAR model, Bayesian AR, Bayesian time-series autoregression	VAR, VAR model, vector autoregressive model, multivariate autoregression
ذات صلة	6	5
الملخص	The Bayesian AR model estimates an autoregressive time-series process by combining a likelihood derived from the AR structure with prior distributions over the lag coefficients and error variance. Rather than producing single point estimates, it yields full posterior distributions, enabling principled uncertainty quantification and probabilistic forecasting.	Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.