قارن الطرق

	نموذج المتوسط المتحرك القوي (MA)	نموذج المتوسط المتحرك (MA)
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1979–2009	1970
صاحب الطريقة	Denby & Martin (1979); Muler, Pena & Yohai (2009)	Box and Jenkins
النوع	Robust time series model	Linear time series model
المصدر التأسيسي	Denby, L., & Martin, R. D. (1979). Robust estimation of the first-order autoregressive parameter. Journal of the American Statistical Association, 74(365), 140–146.	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 MA, robust moving average, M-estimation MA, bounded-influence MA	MA model, MA(q) process, moving-average process, Box-Jenkins MA
ذات صلة	6	5
الملخص	The Robust MA model applies robust estimation — typically M-estimation or bounded-influence methods — to the Moving Average time series model. By replacing the ordinary least squares loss with a bounded loss function, it produces parameter estimates that are far less sensitive to outliers, additive noise spikes, or heavy-tailed error distributions than the classical Gaussian MA.	The Moving Average model of order q — written MA(q) — expresses the current value of a time series as a linear combination of the current and past random shocks (innovations). Unlike the AR model which uses lagged values of the series itself, the MA model uses lagged error terms, making it well-suited for capturing short-lived disturbances that dissipate over q periods.