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Модел ARIMA (Авторегресионен интегриран плъзгащ се среден)×АРСС модел (авторегресионна плъзгаща се средна)×Робастни обобщени най-малки квадрати (Robust GLS)×
ОбластИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression model
Година на възникване197019701936 / 1980
СъздателGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
ТипTime series forecasting modelTime series modelRobust linear regression
Основополагащ източникBox, 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 ↗Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381
Други названияARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
Свързани655
РезюмеThe 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.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.
ScholarGateНабор от данни
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ScholarGateСравнение на методи: ARIMA model · ARMA model · Robust GLS. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare