Inferring Chronic Treatment Onset from ePrescription Data: A Renewal Process Approach

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Hauptverfasser: Poličar, Pavlin G., Stanimirović, Dalibor, Zupan, Blaž
Format: Preprint
Veröffentlicht: 2026
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author Poličar, Pavlin G.
Stanimirović, Dalibor
Zupan, Blaž
author_facet Poličar, Pavlin G.
Stanimirović, Dalibor
Zupan, Blaž
contents Longitudinal electronic health record (EHR) data are often left-censored, making diagnosis records incomplete and unreliable for determining disease onset. In contrast, outpatient prescriptions form renewal-based trajectories that provide a continuous signal of disease management. We propose a probabilistic framework to infer chronic treatment onset by modeling prescription dynamics as a renewal process and detecting transitions from sporadic to sustained therapy via change-point detection between a baseline Poisson (sporadic prescribing) regime and a regime-specific Weibull (sustained therapy) renewal model. Using a nationwide ePrescription dataset of 2.4 million individuals, we show that the approach yields more temporally plausible onset estimates than naive rule-based triggering, substantially reducing implausible early detections under strong left censoring. Detection performance varies across diseases and is strongly associated with prescription density, highlighting both the strengths and limits of treatment-based onset inference.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23824
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Inferring Chronic Treatment Onset from ePrescription Data: A Renewal Process Approach
Poličar, Pavlin G.
Stanimirović, Dalibor
Zupan, Blaž
Machine Learning
Longitudinal electronic health record (EHR) data are often left-censored, making diagnosis records incomplete and unreliable for determining disease onset. In contrast, outpatient prescriptions form renewal-based trajectories that provide a continuous signal of disease management. We propose a probabilistic framework to infer chronic treatment onset by modeling prescription dynamics as a renewal process and detecting transitions from sporadic to sustained therapy via change-point detection between a baseline Poisson (sporadic prescribing) regime and a regime-specific Weibull (sustained therapy) renewal model. Using a nationwide ePrescription dataset of 2.4 million individuals, we show that the approach yields more temporally plausible onset estimates than naive rule-based triggering, substantially reducing implausible early detections under strong left censoring. Detection performance varies across diseases and is strongly associated with prescription density, highlighting both the strengths and limits of treatment-based onset inference.
title Inferring Chronic Treatment Onset from ePrescription Data: A Renewal Process Approach
topic Machine Learning
url https://arxiv.org/abs/2602.23824