On robust Bayesian causal inference

Fuente: arXiv
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Autori principali: Alexopoulos, Angelos, Demiris, Nikolaos
Natura: Preprint
Pubblicazione: 2025
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author Alexopoulos, Angelos
Demiris, Nikolaos
author_facet Alexopoulos, Angelos
Demiris, Nikolaos
contents This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can lead to biased causal estimands when mis-specified. We focus on directly estimating time--unit--specific causal effects and use generalised Bayesian inference to quantify model mis-specification and adjust for it, while retaining interpretable posterior inference. We select the learning rate~$ω$ based on a proper scoring rule that jointly evaluates point and interval accuracy of the causal estimand, thus providing a coherent, decision-theoretic foundation for tuning~$ω$. Simulation studies and applications to real data demonstrate improved calibration, sharpness, and robustness in estimating causal effects.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13895
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On robust Bayesian causal inference
Alexopoulos, Angelos
Demiris, Nikolaos
Methodology
This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can lead to biased causal estimands when mis-specified. We focus on directly estimating time--unit--specific causal effects and use generalised Bayesian inference to quantify model mis-specification and adjust for it, while retaining interpretable posterior inference. We select the learning rate~$ω$ based on a proper scoring rule that jointly evaluates point and interval accuracy of the causal estimand, thus providing a coherent, decision-theoretic foundation for tuning~$ω$. Simulation studies and applications to real data demonstrate improved calibration, sharpness, and robustness in estimating causal effects.
title On robust Bayesian causal inference
topic Methodology
url https://arxiv.org/abs/2511.13895