arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2301.13604econ.EM
收藏

基于大数据分位数回归的宏观经济尾部风险非线性研究

Nonlinearities in Macroeconomic Tail Risk through the Lens of Big Data Quantile Regressions

Jan Prüser, Florian Huber

AI总结:

本文利用大规模数据集结合分位数回归、收缩先验和变分贝叶斯方法预测美国GDP增长的条件分布,并通过非线性设定和高斯过程显著提升尾部预测精度。

摘要:

对GDP极端变动进行建模和预测历来极为困难,而选择合适的协变量和/或可能的非线性形式是获得精确预测的关键。本文重点研究在大规模数据集中使用分位数回归模型来预测美国GDP增长率的条件分布。为捕捉可能的非线性,我们引入了几种非线性设定。由此得到的模型维度极高,因此我们依赖一组收缩先验。由于马尔可夫链蒙特卡洛估计在这些维度下速度过慢,我们采用快速的变分贝叶斯近似来逼近系数和潜在状态的后验分布。我们发现所提出的一组模型能够产生精确的预测,这些收益在尾部尤为明显。使用高斯过程来近似模型的非线性成分进一步改善了良好表现,尤其是在右尾。

英文摘要:

Modeling and predicting extreme movements in GDP is notoriously difficult and the selection of appropriate covariates and/or possible forms of nonlinearities are key in obtaining precise forecasts. In this paper, our focus is on using large datasets in quantile regression models to forecast the conditional distribution of US GDP growth. To capture possible non-linearities, we include several nonlinear specifications. The resulting models will be huge dimensional and we thus rely on a set of shrinkage priors. Since Markov Chain Monte Carlo estimation becomes slow in these dimensions, we rely on fast variational Bayes approximations to the posterior distribution of the coefficients and the latent states. We find that our proposed set of models produces precise forecasts. These gains are especially pronounced in the tails. Using Gaussian processes to approximate the nonlinear component of the model further improves the good performance, in particular in the right tail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑