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Toda-Yamamoto 인과관계 검정×ARIMA 모형 (자기회귀 누적 이동평균)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19951970
창시자Toda, H. Y. and Yamamoto, T.George Box and Gwilym Jenkins
유형Causality testTime series forecasting model
원전Toda, H. Y., & Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. Journal of Econometrics, 66(1-2), 225-250. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
별칭Toda-Yamamoto test, TY causality test, modified Wald test for Granger causality, TY-MWALDARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
관련56
요약The Toda-Yamamoto (TY) causality test is a modified Wald procedure for testing Granger causality in vector autoregressions (VARs) estimated in levels, even when variables are nonstationary or cointegrated. By intentionally over-fitting the VAR with extra lags equal to the maximum integration order, it restores the standard chi-squared asymptotic distribution of the Wald statistic without requiring prior unit-root or cointegration pretesting.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.
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