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Vektorautoregresjon (VAR)×ARIMA-modell (Autoregressiv Integrert Glidende Gjennomsnitt)×ARMA-modell (Autoregressiv glidende gjennomsnitt)×Granger-kausalitetstest×Strukturell Vektor Autoregresjon (SVAR)×
FagfeltØkonometriØkonometriØkonometriØkonometriØkonometri
FamilieRegression modelRegression modelRegression modelRegression modelRegression model
Opprinnelsesår19801970197019691980
OpphavspersonChristopher A. SimsGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsClive W. J. GrangerSims (1980); identification schemes by Blanchard & Quah (1989)
TypeMultivariate time-series modelTime series forecasting modelTime series modelCausality test (F-test on VAR)Multivariate time series model
Opprinnelig kildeSims, 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 ↗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 ↗
AliasVAR, VAR model, vector autoregressive model, multivariate autoregressionARIMA, 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
Relaterte56555
SammendragVector 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 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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ScholarGateSammenlign metoder: Vector Autoregression · ARIMA model · ARMA model · Granger Causality Test · Structural VAR. Hentet 2026-06-18 fra https://scholargate.app/no/compare