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Model ARIMA (Autoregressive Integrated Moving Average)×Model ARMA (Autoregressive Moving Average)×Model Autoregresif (AR)×Generalized Least Squares (GLS) Robust (Robust GLS)×
BidangEkonometrikaEkonometrikaEkonometrikaEkonometrika
KeluargaRegression modelRegression modelRegression modelRegression model
Tahun asal197019701970s (popularised 1976)1936 / 1980
PencetusGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
TipeTime series forecasting modelTime series modelTime series modelRobust linear regression
Sumber perintisBox, 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 ↗Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381
AliasARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR processrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
Terkait6565
RingkasanThe 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.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.Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure.
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ScholarGateBandingkan metode: ARIMA model · ARMA model · Autoregressive model · Robust GLS. Diakses 2026-06-18 dari https://scholargate.app/id/compare