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Examine os métodos selecionados lado a lado; as linhas que diferem ficam destacadas.

Teste de Cointegração (Johansen / Engle-Granger)×Teste de Causalidade de Granger×Modelo de Vetores Autorregressivos (VAR)×
ÁreaEconometriaEconometriaEconometria
FamíliaRegression modelRegression modelRegression model
Ano de origem198819692005
Autor originalEngle & Granger (1987); Johansen (1988)Clive W. J. GrangerLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
TipoTime-series cointegration testTime-series predictive causality testMultivariate time-series model
Fonte seminalJohansen, S. (1988). Statistical Analysis of Cointegration Vectors. Journal of Economic Dynamics and Control, 12(2-3), 231-254. DOI ↗Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424-438. DOI ↗Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
Outros nomesJohansen cointegration test, Engle-Granger cointegration test, long-run equilibrium test, Eşbütünleşme Testi (Johansen/Engle-Granger)Granger causality test, Granger non-causality test, predictive causality test, Granger Nedensellik Testivector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
Relacionados554
ResumoThe cointegration test examines whether non-stationary time series that each contain a unit root share a stable long-run equilibrium relationship. The single-equation residual approach was introduced by Engle and Granger (1987) and the system-based rank approach by Johansen (1988).The Granger causality test, introduced by Clive W. J. Granger in 1969, assesses whether the past values of one time series help predict another beyond what the latter's own past already explains. It defines causality in a strictly predictive sense rather than as a structural or physical cause.Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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ScholarGateComparar métodos: Cointegration Test · Granger Causality · VAR Model. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare