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ОбластИконометрияИконометрия
СемействоRegression modelRegression model
Година на възникване19861970
СъздателMartin & Yohai (influential early work); broader robust time series literatureGeorge E. P. Box and Gwilym M. Jenkins
ТипRobust time series modelTime series model
Основополагащ източникMartin, R. D., & Yohai, V. J. (1986). Influence functionals for time series. Annals of Statistics, 14(3), 781–818. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Други названияrobust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Свързани65
РезюмеThe robust AR model fits an autoregressive time series specification using estimation methods — typically M-estimators or bounded-influence estimators — that resist distortion from outliers and heavy-tailed error distributions. Unlike OLS-based AR estimation, robust variants down-weight extreme observations so that a small number of contaminated data points cannot dominate the fitted dynamics.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.
ScholarGateНабор от данни
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  2. 2 Източници
  3. PUBLISHED
  1. v1
  2. 2 Източници
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ScholarGateСравнение на методи: Robust AR model · ARMA model. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare