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Main Authors: Xu, Wenfu, Zhang, Yi, Gerhard, Tobias, Tan, Zhiqiang
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.15702
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author Xu, Wenfu
Zhang, Yi
Gerhard, Tobias
Tan, Zhiqiang
author_facet Xu, Wenfu
Zhang, Yi
Gerhard, Tobias
Tan, Zhiqiang
contents Causal inference with time-to-event outcomes is fundamental in various scientific studies. In a static setup with fitted propensity scores, weighted Kaplan-Meier estimation for survival probabilities and weighted Breslow-Peto estimation for hazard ratios have been widely used, but their statistical properties have been overlooked or studied only to a limited extent. We re-examine the weighted Kaplan-Meier method by formally linking it with the general framework of augmented inverse probability weighted estimation including both point and variance estimation. Furthermore, to address limitations of existing weighted methods for survival analysis, we develop new methods and associated theory through calibrated estimation in both low-dimensional and high-dimensional settings. We present a simulation study and an empirical application on the effectiveness of adjunctive psychotropic treatments for patients with schizophrenia. The calibrated methods yield coverage proportions closer to target ones in the simulation study, and produce shorter confidence intervals in both simulation and empirical studies.
format Preprint
id arxiv_https___arxiv_org_abs_2605_15702
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Re-examining and calibrating weighted survival analysis for causal inference
Xu, Wenfu
Zhang, Yi
Gerhard, Tobias
Tan, Zhiqiang
Methodology
Causal inference with time-to-event outcomes is fundamental in various scientific studies. In a static setup with fitted propensity scores, weighted Kaplan-Meier estimation for survival probabilities and weighted Breslow-Peto estimation for hazard ratios have been widely used, but their statistical properties have been overlooked or studied only to a limited extent. We re-examine the weighted Kaplan-Meier method by formally linking it with the general framework of augmented inverse probability weighted estimation including both point and variance estimation. Furthermore, to address limitations of existing weighted methods for survival analysis, we develop new methods and associated theory through calibrated estimation in both low-dimensional and high-dimensional settings. We present a simulation study and an empirical application on the effectiveness of adjunctive psychotropic treatments for patients with schizophrenia. The calibrated methods yield coverage proportions closer to target ones in the simulation study, and produce shorter confidence intervals in both simulation and empirical studies.
title Re-examining and calibrating weighted survival analysis for causal inference
topic Methodology
url https://arxiv.org/abs/2605.15702