$L_2$Boosting for Economic Applications

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Tác giả: Ye Luo, Martin Spindler

Ngôn ngữ: eng

Ký hiệu phân loại: 338.45 Production efficiency

Thông tin xuất bản: 2017

Mô tả vật lý:

Bộ sưu tập: Metadata

ID: 161536

Comment: Submitted to American Economic Review, Papers and Proceedings 2017. arXiv admin note: text overlap with arXiv:1602.08927In the recent years more and more high-dimensional data sets, where the number of parameters $p$ is high compared to the number of observations $n$ or even larger, are available for applied researchers. Boosting algorithms represent one of the major advances in machine learning and statistics in recent years and are suitable for the analysis of such data sets. While Lasso has been applied very successfully for high-dimensional data sets in Economics, boosting has been underutilized in this field, although it has been proven very powerful in fields like Biostatistics and Pattern Recognition. We attribute this to missing theoretical results for boosting. The goal of this paper is to fill this gap and show that boosting is a competitive method for inference of a treatment effect or instrumental variable (IV) estimation in a high-dimensional setting. First, we present the $L_2$Boosting with componentwise least squares algorithm and variants which are tailored for regression problems which are the workhorse for most Econometric problems. Then we show how $L_2$Boosting can be used for estimation of treatment effects and IV estimation. We highlight the methods and illustrate them with simulations and empirical examples. For further results and technical details we refer to Luo and Spindler (2016, 2017) and to the online supplement of the paper.
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