مقایسهٔ روشها
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| مدل میانگین متحرک قوی (MA)× | مدل میانگین متحرک (MA)× | |
|---|---|---|
| حوزه | اقتصادسنجی | اقتصادسنجی |
| خانواده | Regression model | Regression model |
| سال پیدایش≠ | 1979–2009 | 1970 |
| پدیدآور≠ | Denby & Martin (1979); Muler, Pena & Yohai (2009) | Box and Jenkins |
| نوع≠ | Robust time series model | Linear time series model |
| منبع بنیادین≠ | Denby, L., & Martin, R. D. (1979). Robust estimation of the first-order autoregressive parameter. Journal of the American Statistical Association, 74(365), 140–146. DOI ↗ | Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744 |
| نامهای دیگر | robust MA, robust moving average, M-estimation MA, bounded-influence MA | MA model, MA(q) process, moving-average process, Box-Jenkins MA |
| مرتبط≠ | 6 | 5 |
| خلاصه≠ | 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. |
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