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arXiv 1805.09397econ.EMstat.APstat.ME
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动态处理效应的非参数模型辨识

Identification in Nonparametric Models for Dynamic Treatment Effects

Sukjin Han

摘要:

本文开发了一个非参数模型,代表了如何在一个动态的方式相互影响的结果和治疗选择的序列。在这种情况下,我们感兴趣的是确定在每个阶段的个人的平均结果,有一个特定的治疗序列被分配。该量的识别允许我们识别平均处理效应(ATE)和关于转变的ATE,以及最佳处理方案,即,使平均潜在结果的(加权)和最大化的方案,可能更少的处理成本。本文的主要贡献是放松序列随机化假设广泛使用的生物统计学文献中引入一个灵活的选择理论框架的内源性治疗序列。我们表明,感兴趣的参数下确定每个时期的双向排除限制,即,结果确定过程中排除了工具,治疗选择过程中排除了其他外生变量。我们还考虑部分识别的情况下,后者的变量是不可用的。最后,我们将我们的结果扩展到一个设置,治疗不出现在每个时期。

英文摘要:

This paper develops a nonparametric model that represents how sequences of outcomes and treatment choices influence one another in a dynamic manner. In this setting, we are interested in identifying the average outcome for individuals in each period, had a particular treatment sequence been assigned. The identification of this quantity allows us to identify the average treatment effects (ATE's) and the ATE's on transitions, as well as the optimal treatment regimes, namely, the regimes that maximize the (weighted) sum of the average potential outcomes, possibly less the cost of the treatments. The main contribution of this paper is to relax the sequential randomization assumption widely used in the biostatistics literature by introducing a flexible choice-theoretic framework for a sequence of endogenous treatments. We show that the parameters of interest are identified under each period's two-way exclusion restriction, i.e., with instruments excluded from the outcome-determining process and other exogenous variables excluded from the treatment-selection process. We also consider partial identification in the case where the latter variables are not available. Lastly, we extend our results to a setting where treatments do not appear in every period.

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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