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Main Author: Tanaka, Masahiro
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.20249
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author Tanaka, Masahiro
author_facet Tanaka, Masahiro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_20249
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasi-Bayesian Local Projections: Simultaneous Inference and Extension to the Instrumental Variable Method
Tanaka, Masahiro
Econometrics
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.
title Quasi-Bayesian Local Projections: Simultaneous Inference and Extension to the Instrumental Variable Method
topic Econometrics
url https://arxiv.org/abs/2503.20249