Assumptions and Bounds in the Instrumental Variable Model
arXiv:2401.13758v21 citations
Originality Synthesis-oriented
AI Analysis
This is an incremental contribution, offering formal proofs for existing theoretical results in causal inference.
The paper provides proofs for results in the Instrumental Variable model with binary response and treatment, and an instrument with multiple states, originally stated in a prior work.
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.