arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1908.02399econ.EM
收藏

高维数据条件平均处理效应的估计

Estimation of Conditional Average Treatment Effects with High-Dimensional Data

Qingliang Fan, Yu-Chin Hsu, Robert P. Lieli, Yichong Zhang

摘要:

在无混淆假设下,我们提出了降维条件平均处理效应(CATE)函数的新的非参数估计。在第一阶段中,通过机器学习方法估计识别CATE所需的滋扰函数,允许协变量的数量与样本量相当或大于样本量。第二阶段由低维局部线性回归组成,将CATE减少为感兴趣的协变量的函数。我们考虑两个变量的估计量取决于是否滋扰功能估计超过完整的样本或超过一个坚持的样本。在Belloni等人(2017)和Zhaizhukov等人(2018)的基础上,我们推导了估计量的函数极限理论,并提供了一个易于实现的基于乘数自助法的一致推理过程。实证应用重温母亲吸烟对婴儿出生体重的影响,作为母亲年龄的函数。

英文摘要:

Given the unconfoundedness assumption, we propose new nonparametric estimators for the reduced dimensional conditional average treatment effect (CATE) function. In the first stage, the nuisance functions necessary for identifying CATE are estimated by machine learning methods, allowing the number of covariates to be comparable to or larger than the sample size. The second stage consists of a low-dimensional local linear regression, reducing CATE to a function of the covariate(s) of interest. We consider two variants of the estimator depending on whether the nuisance functions are estimated over the full sample or over a hold-out sample. Building on Belloni at al. (2017) and Chernozhukov et al. (2018), we derive functional limit theory for the estimators and provide an easy-to-implement procedure for uniform inference based on the multiplier bootstrap. The empirical application revisits the effect of maternal smoking on a baby's birth weight as a function of the mother's age.

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。

↑