قارن الطرق

	نموذج الانحدار الذاتي البيزي (AR)	نموذج ARMA (متوسط متحرك ذاتي الانحدار)
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1971	1970
صاحب الطريقة	Arnold Zellner; foundational Bayesian time-series work by West & Harrison	George E. P. Box and Gwilym M. Jenkins
النوع	Bayesian time-series model	Time series model
المصدر التأسيسي	Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376	Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day.
الأسماء البديلة	Bayesian autoregressive model, BAR model, Bayesian AR, Bayesian time-series autoregression	ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
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.	The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.