Assumptions and Bounds in the Instrumental Variable Model

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Thomas S. Richardson, James M. Robins

Published: 01 Jan 2024, Last Modified: 07 Aug 2024CoRR 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: In this note we give proofs for results relating to the Instrumental Variable (IV) model with binary response $Y$ and binary treatment $X$, but with an instrument $Z$ with $K$ states. These results were originally stated in Richardson & Robins (2014), "ACE Bounds; SEMS with Equilibrium Conditions," arXiv:1410.0470.