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Quasi-Bayesian Local Projections: Simultaneous Inference and Extension to the Instrumental Variable Method

Masahiro Tanaka

arXiv 26 Mar 2025 · Econometrics

arXiv:2503.20249 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Local projections (LPs) are widely used for impulse response analysis, but Bayesian methods face challenges due to the absence of a likelihood function. Existing approaches rely on pseudo-likelihoods, which often result in poorly calibrated posteriors. We propose a quasi-Bayesian method based on the Laplace-type estimator, where a quasi-likelihood is constructed using a generalized method of moments criterion. This approach avoids strict distributional assumptions, ensures well-calibrated inferences, and supports simultaneous credible bands. Additionally, it can be naturally extended to the instrumental variable method. We validate our approach through Monte Carlo simulations.

Citation extraction

32
references
50
in-text mentions
32
distinct cited
2
self-citations
3,167
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Ferreira, Miranda-Agrippino and Ricco Bayesian Local Projections1.00063100%
2Tanaka (2020) Bayesian Inference of Local Projections with Roughness Penalty Priors self1.00063100%
3Müller (2013) Risk of Bayesian Inference in Misspecified Models, and the Sandwich Covariance Matrix0.84333100%
4Stock and Watson (2018) Identification and Estimation of Dynamic Causal Effects in Macroeconomics Using External Instruments0.73732100%
5Chernozhukov and Hong (2003) An MCMC Approach to Classical Estimation0.64422100%
6Hansen (1982) Large Sample Properties of Generalized Method of Moments Estimators0.64422100%
7Kim (2002) Limited Information Likelihood and Bayesian Analysis0.64422100%
8Montiel Olea and Plagborg-Mller (2019) Simultaneous Confidence Bands: Theory, Implementation, and an Application to SVARs0.64422100%
9Conley, Hansen, McCulloch and Rossi (2008) A Semi-parametric Bayesian Approach to the Instrumental Variable Problem0.40511100%
10Frazier, Drovandi and Kohn (2024) Calibrated generalized Bayesian inference0.40511100%

Showing the top 10 of 32 scored citations.