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Robustni autoregresivni model×ARIMA model (Autoregressive Integrated Moving Average)×Model ARMA (Autoregresivni pokretni prosjek)×
PodručjeEkonometrijaEkonometrijaEkonometrija
ObiteljRegression modelRegression modelRegression model
Godina nastanka198619701970
TvoracMartin & Yohai (influential early work); broader robust time series literatureGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. Jenkins
VrstaRobust time series modelTime series forecasting modelTime series model
Temeljni izvorMartin, 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 ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Drugi nazivirobust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
Srodne665
SažetakThe 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 ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.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.
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ScholarGateUsporedite metode: Robust AR model · ARIMA model · ARMA model. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare