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非中心化随机波动率下结构向量自回归的部分识别

Partial identification of structural vector autoregressions with non-centred stochastic volatility
Journal of Econometrics · 2025 · Helmut Lütkepohl、Fei Shang、Luis Uzeda、Tomasz Woźniak

中文摘要

我们研究在贝叶斯估计下通过随机波动率实现识别的结构向量自回归(SVAR)。我们的分析得出三点贡献。第一,我们证明随机波动率的非中心化参数化使得结构性冲击条件方差所对应的边际先验以同方差为中心,并具有强收缩性与厚尾特征——这与常见的中心化参数化不同。这一特性使其非常适合评估任一感兴趣冲击的部分识别。第二,针对小型与大型系统的蒙特卡罗实验表明,非中心化设定能更精确地估计结构参数,并能高效地规范化条件方差。第三,通过重新考察著名的财政SVAR模型,我们展示了非中心化方法如何识别出与文献中报告的估计相一致的税收冲击。

Abstract

We consider structural vector autoregressions that are identified through stochastic volatility under Bayesian estimation. Three contributions emerge from our exercise. First, we show that a non-centred parameterization of stochastic volatility yields a marginal prior for the conditional variances of structural shocks that is centred on homoskedasticity, with strong shrinkage and heavy tails—unlike the common centred parameterization. This feature makes it well suited for assessing partial identification of any shock of interest. Second, Monte Carlo experiments on small and large systems indicate that the non-centred setup estimates structural parameters more precisely and normalizes conditional variances efficiently. Third, revisiting prominent fiscal structural vector autoregressions, we show how the non-centred approach identifies tax shocks that are consistent with estimates reported in the literature.
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