论文标题

具有随机波动率的大贝叶斯VAR的快速准确推断

Fast and Accurate Variational Inference for Large Bayesian VARs with Stochastic Volatility

论文作者

Chan, Joshua C. C., Yu, Xuewen

论文摘要

我们提出了在大贝叶斯var的背景下对数挥发性的联合后验分布的新变异近似。与基于本地近似值的现有方法相反,新提案提供了一个全球近似值,考虑了联合分布的全部支持。在一项蒙特卡洛(Monte Carlo)研究中,我们表明,与现有替代方案相比,新的全球近似值超过了一个数量级。我们用96个变量的VAR具有随机波动率来衡量全球银行网络连接性,以说明了提出的方法。

We propose a new variational approximation of the joint posterior distribution of the log-volatility in the context of large Bayesian VARs. In contrast to existing approaches that are based on local approximations, the new proposal provides a global approximation that takes into account the entire support of the joint distribution. In a Monte Carlo study we show that the new global approximation is over an order of magnitude more accurate than existing alternatives. We illustrate the proposed methodology with an application of a 96-variable VAR with stochastic volatility to measure global bank network connectedness.

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