NECESSARY AND SUFFICIENT CONDITIONS FOR CAUSALITY TESTING IN MULTIVARIATE ARMA MODELS
- 1 March 1981
- journal article
- Published by Wiley in Journal of Time Series Analysis
- Vol. 2 (2) , 95-101
- https://doi.org/10.1111/j.1467-9892.1981.tb00315.x
Abstract
The necessary and sufficient conditions for Granger causality are provided. The condition is that some linear combinations of certain elements of AR matrix and certain elements of MA matrix must vanish. It is less restrictive than the condition heretofore utilized in the literature which is only sufficient in which certain elements in AR matrix as well as certain elements in MA matrix themselves are zero. A proper parsimonious parametric test procedure is also established by using the necessary and sufficient condition.Keywords
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