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Robustni autoregresivni model×ARIMA model (Autoregressive Integrated Moving Average)×Autoregresijski model (AR)×
PodručjeEkonometrijaEkonometrijaEkonometrija
ObiteljRegression modelRegression modelRegression model
Godina nastanka198619701970s (popularised 1976)
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. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043
Drugi nazivirobust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR process
Srodne666
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.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.
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ScholarGateUsporedite metode: Robust AR model · ARIMA model · Autoregressive model. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare