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מודל ARIMA (Autoregressive Integrated Moving Average)×מודל אוטורגרסיבי (AR)×ריבועים פחותים מוכללים עמידים (Robust GLS)×
תחוםאקונומטריקהאקונומטריקהאקונומטריקה
משפחהRegression modelRegression modelRegression model
שנת המקור19701970s (popularised 1976)1936 / 1980
הוגה השיטהGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
סוגTime series forecasting modelTime series modelRobust linear regression
מקור מכונןBox, 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
כינוייםARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR processrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
קשורות665
תקצירThe 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.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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ScholarGateהשוואת שיטות: ARIMA model · Autoregressive model · Robust GLS. אוחזר בתאריך 2026-06-18 מתוך https://scholargate.app/he/compare