Sensitivity Analysis for the Average Treatment Effect under Discrete Unobserved Confounders
离散未观测混杂下平均处理效应的敏感性分析
We model unobserved confounding through an unknown finite number of latent types. This assumption induces finite-mixture representations of the treated and control outcome distributions. Using the identified mixture components, we characterize the sharp identified set for the number of latent types and derive the sharp identified set for the average treatment effect (ATE) corresponding to each admissible value, thereby providing a natural framework for sensitivity analysis.…