Forecasting Near-equivalence of Linear Dimension Reduction Methods in Large Panels of Macro-variables

IF 2 Q2 ECONOMICS
Alessandro Barbarino , Efstathia Bura
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引用次数: 0

Abstract

In an extensive pseudo out-of-sample horserace, classical estimators (dynamic factor models, RIDGE and partial least squares regression) and the novel to forecasting, Regularized Sliced Inverse Regression, exhibit almost near-equivalent forecasting accuracy in a large panel of macroeconomic variables across targets, horizons and subsamples. This finding motivates the theoretical contributions in this paper. Most widely used linear dimension reduction methods are shown to solve closely related maximization problems with solutions that can be decomposed in signal and scaling components. They are organized under a common scheme that sheds light on their commonalities and differences as well as on their functionality. Regularized Sliced Inverse Regression delivers the most parsimonious forecast model and obtains the greatest reduction of the complexity of the forecasting problem. Nevertheless, the study’s findings are that (a) the intrinsic relationship between forecast target and the other macroseries in the panel is linear and (b) targeting contributes in reducing the complexity of modeling yet does not induce significant gains in macroeconomic forecasting accuracy.

大型宏观变量面板中线性降维方法的预测近似性
在一场广泛的伪样本外赛马中,经典估计方法(动态因子模型、RIDGE 和偏最小二乘回归)和新的预测方法--正则化切片反回归--在跨目标、跨期和跨子样本的大型宏观经济变量面板中表现出几乎相等的预测准确性。这一发现激发了本文的理论贡献。大多数广泛使用的线性维度缩减方法都能解决密切相关的最大化问题,其解决方案可以分解为信号和缩放两个部分。本文根据一个共同的方案对这些方法进行了整理,从而揭示了它们之间的共性和差异,以及它们的功能。正则化切分反回归提供了最简洁的预测模型,并最大程度地降低了预测问题的复杂性。不过,本研究的结论是:(a) 预测目标与面板中其他宏观序列之间的内在关系是线性的;(b) 目标定位有助于降低建模的复杂性,但不会显著提高宏观经济预测的准确性。
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来源期刊
CiteScore
3.10
自引率
10.50%
发文量
84
期刊介绍: Econometrics and Statistics is the official journal of the networks Computational and Financial Econometrics and Computational and Methodological Statistics. It publishes research papers in all aspects of econometrics and statistics and comprises of the two sections Part A: Econometrics and Part B: Statistics.
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