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Bibliographic Details
Main Authors: Kawakami, Yuta, Kuroki, Manabu, Tian, Jin
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.11130
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Table of Contents:
  • 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.