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Toda-Yamamoton kausaatiotesti×ARIMA-malli (Autoregressiivinen integroitu liukuva keskiarvo)×
TieteenalaEkonometriaEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi19951970
KehittäjäToda, H. Y. and Yamamoto, T.George Box and Gwilym Jenkins
TyyppiCausality testTime series forecasting model
AlkuperäislähdeToda, 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 ↗
RinnakkaisnimetToda-Yamamoto test, TY causality test, modified Wald test for Granger causality, TY-MWALDARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Liittyvät56
TiivistelmäThe 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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