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Autoregresja Wektorowa (VAR)×Model ARIMA (Autoregresyjny Zintegrowany Model Średniej Ruchomej)×Test przyczynowości Granger×
DziedzinaEkonometriaEkonometriaEkonometria
RodzinaRegression modelRegression modelRegression model
Rok powstania198019701969
TwórcaChristopher A. SimsGeorge Box and Gwilym JenkinsClive W. J. Granger
TypMultivariate time-series modelTime series forecasting modelCausality test (F-test on VAR)
Źródło pierwotneSims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48. DOI ↗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 ↗
Inne nazwyVAR, VAR model, vector autoregressive model, multivariate autoregressionARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Granger test, GC test, predictive causality test, Granger non-causality test
Pokrewne565
PodsumowanieVector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.The 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 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.
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