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arXiv 2206.09092stat.MEmath.STstat.TH
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具有突变的动态和异质处理效应

Dynamic and heterogeneous treatment effects with abrupt changes

Oscar Hernan Madrid Padilla, Yi Yu

摘要:

从个性化医疗到定向广告,提供一系列具有历史协变量和结果数据的决策是一项固有的任务。这需要理解处理效应的动力学和异质性。在本文中,我们关注的是检测突然变化的处理效应的条件平均处理效应(CATE)在一个连续的方式。更具体地说,在每个时间点,我们考虑非参数模型,以实现最大的灵活性和鲁棒性。随着时间的推移,我们允许时间依赖于历史协变量和噪声函数。我们提供了一个基于核的变点估计,这是一致的,在其检测延迟,平均运行长度控制。数值结果支持我们的理论研究结果。

英文摘要:

From personalised medicine to targeted advertising, it is an inherent task to provide a sequence of decisions with historical covariates and outcome data. This requires understanding of both the dynamics and heterogeneity of treatment effects. In this paper, we are concerned with detecting abrupt changes in the treatment effects in terms of the conditional average treatment effect (CATE) in a sequential fashion. To be more specific, at each time point, we consider a nonparametric model to allow for maximal flexibility and robustness. Along the time, we allow for temporal dependence on historical covariates and noise functions. We provide a kernel-based change point estimator, which is shown to be consistent in terms of its detection delay, under an average run length control. Numerical results are provided to support our theoretical findings.

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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