Granger Causal Priority and Choice of Variables in Vector Autoregressions
Marek Jarociński and
Bartosz Maćkowiak
The Review of Economics and Statistics, 2017, vol. 99, issue 2, 319-329
Abstract:
We derive a closed-form expression for the posterior probability of Granger noncausality in a gaussian vector autoregression with a conjugate prior. We also express in closed form the posterior probability of Granger causal priority, a more general relation that accounts for indirect effects between variables and therefore is suitable in a multivariate context. One can use these results to answer the classic question, “Is variable z relevant for variable x?” and to choose variables for a vector autoregression.
Date: 2017
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Related works:
Working Paper: Granger-Causal-Priority and Choice of Variables in Vector Autoregressions (2015) 
Working Paper: Granger-Causal-Priority and Choice of Variables in Vector Autoregressions (2013) 
Working Paper: Granger-causal-priority and choice of variables in vector autoregressions (2013) 
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