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Granger Causal Priority and Choice of Variables in Vector Autoregressions

Marek Jarociński1; Bartosz Maćkowiak

1 European Central Bank

The Review of Economics and Statistics 2017 open access

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.

DOI
10.1162/rest_a_00601
Volume
99 (2)
Pages
319-329
Language
en
Export
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