# Identification and Estimation of Conditional Average Partial Causal Effects via Instrumental Variable

arXiv: https://arxiv.org/abs/2401.11130 · HTML: https://mlsanity.com/paper/2401.11130/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Jan 2024.

## Built on by (most cited first, 1 of 1)

- [Moments of Causal Effects](https://mlsanity.com/paper/2505.04971/) (2025)

## Abstract (arXiv)

There has been considerable recent interest in estimating heterogeneous causal effects. In this paper, we study conditional average partial causal effects (CAPCE) to reveal the heterogeneity of causal effects with continuous treatment. We provide conditions for identifying CAPCE in an instrumental variable setting. Notably, CAPCE is identifiable under a weaker assumption than required by a commonly used measure for estimating heterogeneous causal effects of continuous treatment. We develop three families of CAPCE estimators: sieve, parametric, and reproducing kernel Hilbert space (RKHS)-based, and analyze their statistical properties. We illustrate the proposed CAPCE estimators on synthetic and real-world data.