قارن الطرق

	نموذج المتوسط المتحرك القوي (MA)	نموذج ARMA (متوسط متحرك ذاتي الانحدار)
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	1979–2009	1970
صاحب الطريقة	Denby & Martin (1979); Muler, Pena & Yohai (2009)	George E. P. Box and Gwilym M. Jenkins
النوع	Robust time series model	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. (1970). Time Series Analysis: Forecasting and Control. Holden-Day.
الأسماء البديلة	robust MA, robust moving average, M-estimation MA, bounded-influence MA	ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
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 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.