قارن الطرق

	نموذج SARIMA القوي	نموذج SARIMA
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1979–2009	1970 (first edition); 1976 (revised)
صاحب الطريقة	Muler, Peña & Yohai (robust ARMA); earlier foundation by Denby & Martin (1979)	Box, Jenkins, and Reinsel
النوع	Robust time-series model	Seasonal time series model
المصدر التأسيسي	Muler, N., Peña, D., & Yohai, V. J. (2009). Robust estimation for ARMA models. The Annals of Statistics, 37(2), 816–840.	Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
الأسماء البديلة	robust SARIMA, outlier-resistant SARIMA, robust seasonal ARIMA, M-estimator SARIMA	SARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
ذات صلة	4	5
الملخص	Robust SARIMA extends the classical Seasonal ARIMA framework by replacing the standard least-squares criterion with a robust loss function — such as an M-estimator — so that outliers and heavy-tailed innovations in seasonal time series cannot distort parameter estimates or invalidate forecasts.	SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.