Linganisha mbinu

	Uchanganuzi wa Ugaidi wa Granger wenye Vigezo Vinavyobadilika kwa Wakati	Ubora wa Utegemezi wa Viga (VAR)
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	1969 (Granger); TVP extension ~2005	1980
Mwanzilishi	C.W.J. Granger (causality concept); TVP extension developed by Primiceri (2005) and subsequent literature	Christopher A. Sims
Aina	Causality test / time-varying model	Multivariate time-series model
Chanzo asilia	Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrica, 37(3), 424-438.	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
Majina mbadala	TVP Granger causality, rolling-window Granger causality, time-varying Granger test, dynamic Granger causality	VAR, VAR model, vector autoregressive model, multivariate autoregression
Zinazohusiana	4	5
Muhtasari	Time-varying parameter Granger causality extends the classical Granger causality framework by allowing the predictive relationships between time series to evolve across time. Instead of assuming fixed causal effects, the model estimates causal coefficients that can shift, capturing structural breaks, regime changes, or gradual evolution in economic or financial relationships.	Vector 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.