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Flexible Parametric Accelerated Failure Time Models With Cure.

Birzhan Akynkozhayev1, Benjamin Christoffersen1, Xingrong Liu2

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|September 10, 2025
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Summary
This summary is machine-generated.

Accelerated failure time (AFT) models offer a collapsible and interpretable alternative to Cox models. Enhanced AFT models improve clinical research by incorporating time-varying effects and cure models, showing robustness in covariate estimation.

Keywords:
accelerated failure time modelscure modelsflexible parametric modelssplines

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Area of Science:

  • Biostatistics
  • Survival Analysis
  • Clinical Research Methodology

Background:

  • Accelerated failure time (AFT) models are an alternative to Cox proportional hazards models.
  • AFT models offer collapsible effect measures and direct interpretation on the survival time scale.
  • Recent smooth parametric AFT models have limitations and require extensions for broader application.

Purpose of the Study:

  • To enhance flexible parametric accelerated failure time (AFT) models for improved clinical research applications.
  • To address limitations in existing smooth parametric AFT models by introducing new features.
  • To provide a robust and interpretable survival analysis tool.

Main Methods:

  • Adopted monotone natural splines for log cumulative hazard.
  • Incorporated time-varying acceleration factors and cure models (mixture and non-mixture).
  • Implemented extensions in the publicly available rstpm2 R package.

Main Results:

  • Simulations showed variable success in estimating cure fractions.
  • Flexible AFT models demonstrated greater robustness than Cox models for covariate-effect estimation, even with high cure proportions.
  • Extensions were successfully applied to real-world survival data.

Conclusions:

  • The developed flexible parametric AFT models offer significant improvements for survival data analysis in clinical research.
  • These enhanced AFT models provide a more robust and interpretable alternative to traditional Cox models, especially in the presence of cured individuals.
  • The rstpm2 package facilitates the application of these advanced AFT models.