arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.10160econ.EMstat.AP
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多指标宏观经济预测中的变量选择

Variable Selection in Macroeconomic Forecasting with Many Predictors

Zhenzhong Wang, Zhengyuan Zhu, Cindy Yu

摘要:

在数据丰富的环境下,利用多个经济预测因子对少数关键变量进行预测已成为计量经济学的新趋势。常用的方法是因子增广法(FA)。在本文中,我们追求另一个方向,变量选择(VS)的方法,处理高维预测。VS是统计学和计算机科学中的一个活跃话题。然而,它在经济学中没有像FA那样受到重视。本文介绍了几种最前沿的经济预测VS方法,包括:(1)经典贪婪算法;(2)l1正则化算法;(3)稀疏化梯度下降算法;(4)元启发式算法。通过模拟实验比较了不同情景下的变量选择精度和预测性能。在综述的方法中,称为顺序蒙特卡罗算法的元启发式算法表现最好。令人惊讶的是,经典的前向选择与它相当,并且比其他更复杂的算法更好。此外,我们将这些VS方法应用于经济预测,并与流行的FA方法进行比较。结果表明,对于就业率和CPI通胀,一些VS方法可以取得相当大的改善FA,并选择的预测因子可以很好地解释经济理论。

英文摘要:

In the data-rich environment, using many economic predictors to forecast a few key variables has become a new trend in econometrics. The commonly used approach is factor augment (FA) approach. In this paper, we pursue another direction, variable selection (VS) approach, to handle high-dimensional predictors. VS is an active topic in statistics and computer science. However, it does not receive as much attention as FA in economics. This paper introduces several cutting-edge VS methods to economic forecasting, which includes: (1) classical greedy procedures; (2) l1 regularization; (3) gradient descent with sparsification and (4) meta-heuristic algorithms. Comprehensive simulation studies are conducted to compare their variable selection accuracy and prediction performance under different scenarios. Among the reviewed methods, a meta-heuristic algorithm called sequential Monte Carlo algorithm performs the best. Surprisingly the classical forward selection is comparable to it and better than other more sophisticated algorithms. In addition, we apply these VS methods on economic forecasting and compare with the popular FA approach. It turns out for employment rate and CPI inflation, some VS methods can achieve considerable improvement over FA, and the selected predictors can be well explained by economic theories.

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。

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