विधियों की तुलना करें

	मजबूत मूविंग एवरेज (MA) मॉडल	Robust ARIMA मॉडल
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	1979–2009	1986–1993
प्रवर्तक	Denby & Martin (1979); Muler, Pena & Yohai (2009)	Tsay (1986); Chen & Liu (1993)
प्रकार	Robust time series model	Robust time series model
मौलिक स्रोत	Denby, L., & Martin, R. D. (1979). Robust estimation of the first-order autoregressive parameter. Journal of the American Statistical Association, 74(365), 140–146.	Tsay, R. S. (1986). Time series model specification in the presence of outliers. Journal of the American Statistical Association, 81(393), 132–141.
उपनाम	robust MA, robust moving average, M-estimation MA, bounded-influence MA	robust ARIMA, outlier-resistant ARIMA, robust time series estimation, ARIMA with outlier detection
संबंधित	6	4
सारांश	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.	Robust ARIMA extends the classical ARIMA framework to detect and correct the influence of outliers and structural breaks during estimation. By jointly identifying anomalous observations and re-estimating model parameters, it produces coefficient estimates and forecasts that are far less distorted by isolated shocks or data errors than standard ARIMA.