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贝叶斯局部投影

Bayesian Local Projections
Review of Economics and Statistics · 2024 · Leonardo N. Ferreira、Silvia Miranda‐Agrippino、G. Ricco

中文摘要

我们提出了一种针对局部投影(Local Projections, LPs)的贝叶斯方法,该方法最优地处理了直接法与迭代法选择中固有的经验偏差-方差权衡。贝叶斯局部投影(BLPs)通过信息先验对LP回归进行正则化,并估计脉冲响应函数,其捕捉数据性质的准确性优于迭代向量自回归(VAR)。BLPs保留了LPs的灵活性,同时保持了与采用标准宏观经济先验的贝叶斯VAR(BVAR)相当的估计不确定性程度。作为正则化的直接预测方法,BLPs也是多变量样本外预测中贝叶斯VAR(BVAR)的一个有价值的替代方案。

Abstract

Abstract We propose a Bayesian approach to Local Projections (LPs) that optimally addresses the empirical bias-variance trade-off intrinsic in the choice between direct and iterative methods. Bayesian Local Projections (BLPs) regularize LP regressions via informative priors and estimate impulse response functions that capture the properties of the data more accurately than iterative VARs. BLPs preserve the flexibility of LPs while retaining a degree of estimation uncertainty comparable to Bayesian VARs with standard macroeconomic priors. As regularized direct forecasts, BLPs are also a valuable alternative to BVARs for multivariate out-of-sample projections.
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