Locally- but not Globally-identified SVARs

Arbeitspapier

This paper analyzes Structural Vector Autoregressions (SVARs) where identification of structural parameters holds locally but not globally. In this case there exists a set of isolated structural parameter points that are observationally equivalent under the imposed restrictions. Although the data do not inform us which observationally equivalent point should be selected, the common frequentist practice is to obtain one as a maximum likelihood estimate and perform impulse response analysis accordingly. For Bayesians, the lack of global identification translates to non-vanishing sensitivity of the posterior to the prior, and the multi-modal likelihood gives rise to computational challenges as posterior sampling algorithms can fail to explore all the modes. This paper overcomes these challenges by proposing novel estimation and inference procedures. We characterize a class of identifying restrictions that deliver local but non-global identification, and the resulting number of observationally equivalent parameter values. We propose algorithms to exhaustively compute all admissible structural parameters given reduced-form parameters and utilize them to sample from the multi-modal posterior. In addition, viewing the set of observationally equivalent parameter points as the identified set, we develop Bayesian and frequentist procedures for inference on the corresponding set of impulse responses. An empirical example illustrates our proposal.

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• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Quaderni - Working Paper DSE ; No. 1171

Classification and Topics

• Classification: Wirtschaft ; Econometrics ; Estimation: General ; Multiple or Simultaneous Equation Models; Multiple Variables: General ; Model Construction and Estimation
• Subject: local identification ; Bayesian inference ; Markov Chain Monte Carlo ; robust Bayesian inference ; frequentist inference ; multi-modal posterior

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Bacchiocchi, Emanuele ; Kitagawa, Toru
• Event: Veröffentlichung
• (who): Alma Mater Studiorum - Università di Bologna, Dipartimento di Scienze Economiche (DSE)
• (where): Bologna
• (when): 2022

Further information

• DOI: doi:10.6092/unibo/amsacta/6925
• Handle: http://hdl.handle.net/10419/265170