So sánh phương pháp

	SARIMAX	Mô hình Tự hồi quy Vector Bayes (BVAR)
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	2015	1986
Người khởi xướng	Box & Jenkins (ARIMA framework); SARIMAX extension with exogenous regressors	Litterman (1986); Bańbura, Giannone & Reichlin (2010)
Loại	Seasonal time-series regression model	Bayesian multivariate time-series model
Công trình gốc	Hyndman, R. J. & Athanasopoulos, G. (2021). Forecasting: Principles and Practice (3rd ed.). OTexts.	Litterman, R. B. (1986). Forecasting with Bayesian Vector Autoregressions—Five Years of Experience. Journal of Business & Economic Statistics, 4(1), 25-38.
Tên gọi khác	seasonal ARIMA with exogenous variables, SARIMA with regressors, ARIMAX, SARIMAX — Dışsal Değişkenli Mevsimsel ARIMA	BVAR, Bayesian vector autoregression, Minnesota prior VAR, Bayesian VAR (BVAR)
Liên quan	4	5
Tóm tắt	SARIMAX extends the seasonal ARIMA (Box-Jenkins) model by adding exogenous explanatory variables, so it can capture the effect of holidays, economic indicators, or policy variables on a time series. It combines non-seasonal and seasonal autoregressive and moving-average dynamics with external regressors, and is estimated by maximum likelihood in state-space form.	Bayesian VAR adds Minnesota or other prior distributions to a vector autoregressive model to control over-parameterisation. Introduced by Litterman (1986) and extended to high dimensions by Bańbura, Giannone and Reichlin (2010), it outperforms classical VAR on short series and high-dimensional macroeconomic forecasts.