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Model Autoregresif Teguh×Model ARMA (Autoregresif Moving Average)×Model Autoregresif (AR)×
BidangEkonometrikEkonometrikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal198619701970s (popularised 1976)
PengasasMartin & Yohai (influential early work); broader robust time series literatureGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. Jenkins
JenisRobust time series modelTime series modelTime series model
Sumber perintisMartin, 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
Aliasrobust autoregression, outlier-robust AR, M-estimator AR, heavy-tail ARARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR process
Berkaitan656
RingkasanThe 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.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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ScholarGateBandingkan kaedah: Robust AR model · ARMA model · Autoregressive model. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare