Bayesian approach to survival analysis

In the first part of this thesis, we introduce the basics of survival analysis and its key concepts such as data censoring. We then introduce Bayesian statistics, comparing it to the frequentist approach through a simple example. We derive the exponential and Weibull models, expanding both into regression models. Here, we are met with the use of MCMC methods, which we explain in detail. Finally, we apply the developed theory to a real-world case by conducting a survival analysis of heart failure patients.

Publication Details

Journal
Repository of the University of Ljubljana (University of Ljubljana)
Published
2024-11-28
Primary Topic
Statistical Methods and Inference
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article
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article

Bayesian approach to survival analysis

Repository of the University of Ljubljana (University of Ljubljana)
Statistical Methods and Inference
article

Bayesian approach to survival analysis

article en

Abstract

In the first part of this thesis, we introduce the basics of survival analysis and its key concepts such as data censoring. We then introduce Bayesian statistics, comparing it to the frequentist approach through a simple example. We derive the exponential and Weibull models, expanding both into regression models. Here, we are met with the use of MCMC methods, which we explain in detail. Finally, we apply the developed theory to a real-world case by conducting a survival analysis of heart failure patients.

Repository of the University of Ljubljana (University of Ljubljana)
Openalex Percentile: Top 41%
Statistical Methods and Inference
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Bayesian approach to survival analysis · Repository of the University of Ljubljana (University of Ljubljana) (2024) | TGRS Research Map | TGRS