2024/28 | LEM Working Paper Series | ||||||||||||||||
Identification of one independent shock in structural VARs |
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Gabriele Fiorentini, Alessio Moneta and Francesca Papagni |
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Keywords | |||||||||||||||||
Independent component analysis, Non-Gaussian maximum likelihood, Impact multipliers, Economic policy uncertainty.
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JEL Classifications | |||||||||||||||||
C32, C52
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Abstract | |||||||||||||||||
We establish the identification of a specific shock in a structural
vector autoregressive model under the assumption that this shock is
independent of the other shocks in the system, without requiring the
latter shocks to be mutually independent, unlike the typical
assumptions in the independent component analysis literature. The
shock of interest can be either non-Gaussian or Gaussian, but, in the
latter case, the other shocks must be jointly non-Gaussian. We
formally prove the global identification of the shock and the
associated column of the impact multiplier matrix, and discuss
parameter estimation by maximum likelihood. We conduct a detailed
Monte Carlo simulation to illustrate the finite sample behavior of our
identification and estimation procedure. Finally, we estimate the
dynamic effect of a contraction in economic activity on some measures
of economic policy uncertainty.
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