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Модел ARIMA (Авторегресионен интегриран плъзгащ се среден)×АРСС модел (авторегресионна плъзгаща се средна)×Тест за причинност на Грейнджър×Структурна векторна авторегресия (SVAR)×
ОбластИконометрияИконометрияИконометрияИконометрия
СемействоRegression modelRegression modelRegression modelRegression model
Година на възникване1970197019691980
СъздателGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsClive W. J. GrangerSims (1980); identification schemes by Blanchard & Quah (1989)
ТипTime series forecasting modelTime series modelCausality test (F-test on VAR)Multivariate time series model
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 ↗Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438. DOI ↗Blanchard, O. J., & Quah, D. (1989). The dynamic effects of aggregate demand and supply disturbances. American Economic Review, 79(4), 655-673. link ↗
Други названияARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)Granger test, GC test, predictive causality test, Granger non-causality testSVAR, structural vector autoregression, identified VAR, structural VAR model
Свързани6555
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.The Granger causality test is a statistical hypothesis test that determines whether past values of one time series help predict future values of another, beyond what that series' own past already explains. Introduced by Clive Granger in 1969, it is the standard approach for assessing predictive causality in VAR-based time-series analysis.Structural VAR extends the reduced-form VAR by imposing economic theory-based restrictions that identify orthogonal structural shocks. This allows researchers to disentangle the causal effects of distinct economic disturbances — such as supply versus demand shocks — and trace their dynamic propagation through a system of variables via impulse response functions and forecast error variance decompositions.
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ScholarGateСравнение на методи: ARIMA model · ARMA model · Granger Causality Test · Structural VAR. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare