Year: 2025
Type: preprint
Abstract: We study the properties of the classical \emph{projection} method to conduct simultaneous inference about the coefficients of the structural impulse-response function and their identified set in Structural Vector Autoregressions. We show that -- as the sample size grows large -- projection inference produces regions for the structural parameters and their identified set with both frequentist coverage and robust Bayesian credibility of at least $1-α$. We then calibrate the radius of the Wald ellipsoid to guarantee that -- for a given posterior on the reduced-form parameters -- the robust Bayesian credibility of the projection method is exactly $1-α$. We illustrate the main results of the paper using a demand/supply model of the U.S.~labor market.
Authors: Gafarov, Bulat, Meier, Matthias, Olea, José Luis Montiel
Language: English
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W6929412141