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ARIMA mudel (autoregressiivne integreeritud libisev keskmine)×Robustne üldistatud vähimruutude meetod (Robust GLS)×
ValdkondÖkonomeetriaÖkonomeetria
PerekondRegression modelRegression model
Tekkeaasta19701936 / 1980
LoojaGeorge Box and Gwilym JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
TüüpTime series forecasting modelRobust linear regression
AlgallikasBox, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381
RööpnimetusedARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
Seotud65
KokkuvõteThe 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.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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ScholarGateVõrdle meetodeid: ARIMA model · Robust GLS. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare