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Toda-Yamamoto Granger 因果检验×向量自回归 (VAR) 模型×
领域计量经济学计量经济学
方法族Hypothesis testRegression model
起源年份19952005
提出者Hiro Toda & Taku YamamotoLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
类型Modified Wald test on augmented VARMultivariate time-series model
开创性文献Toda, H. Y., & Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. Journal of Econometrics, 66(1–2), 225–250. DOI ↗Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
别名TY Causality Test, Modified Wald Granger Causality, MWALD Test, Toda-Yamamoto Nedensellik Testivector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
相关34
摘要The Toda-Yamamoto (TY) causality test, introduced by Toda and Yamamoto (1995), provides a robust procedure for testing Granger non-causality in vector autoregressive (VAR) models when the variables may be integrated or cointegrated of arbitrary order. By intentionally over-fitting the VAR with extra lags equal to the maximum integration order, the method bypasses the need for pre-testing cointegration and preserves the standard asymptotic chi-squared distribution of the Wald statistic.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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ScholarGate方法对比: Toda-Yamamoto Causality · VAR Model. 于 2026-06-19 检索自 https://scholargate.app/zh/compare