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We describe a unified framework within which we can build survival models. The motivation for this work comes from a study on the prediction of relapse among breast cancer patients treated at the Curie Institute in Paris, France. Our focus…

Methodology · Statistics 2014-05-28 Cécile Chauvel , John O'Quigley

Extended cure survival models enable to separate covariates that affect the probability of an event (or `long-term' survival) from those only affecting the event timing (or `short-term' survival). We propose to generalize the bounded…

Methodology · Statistics 2023-02-03 Lambert Philippe , Kreyenfeld Michaela

We develop a multivariate cure survival model to estimate lifetime patterns of colorectal cancer screening. Screening data cover long periods of time, with sparse observations for each person. Some events may occur before the study begins…

Methodology · Statistics 2015-09-16 Yolanda Hagar , Danielle Harvey , Laurel Beckett

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

Machine Learning · Statistics 2020-11-06 Denise Rava , Jelena Bradic

Network meta-analysis (NMA) is widely used in healthcare decision-making, where estimates of the effect of multiple treatments on outcomes are required. For time-to-event outcomes such as survival or disease progression the most common…

Methodology · Statistics 2025-09-15 David M. Phillippo , Ayman Sadek , Hugo Pedder , Nicky J. Welton

We propose a Bayesian approach using improper priors for hierarchical linear mixed models with flexible random effects and residual error distributions. The error distribution is modelled using scale mixtures of normals, which can capture…

Methodology · Statistics 2018-02-06 F. J. Rubio , M. F. J. Steel

Joint models for longitudinal and survival data have gained a lot of attention in recent years, with the development of myriad extensions to the basic model, including those which allow for multivariate longitudinal data, competing risks…

Methodology · Statistics 2020-03-09 Katya Mauff , Ewout Steyerberg , Isabella Kardys , Eric Boersma , Dimitris Rizopoulos

In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ…

Methodology · Statistics 2026-01-14 Mirko Signorelli , Sophie Retif

Reliable uncertainty quantification is essential in survival prediction, particularly in clinical settings where erroneous decisions carry high risk. Conformal prediction has attracted substantial attention as it offers a model-agnostic…

Methodology · Statistics 2025-12-04 Jaeyoung Shin , Chi Hyun Lee , Sangwook Kang

In survival analysis, subjects often face competing risks; for example, individuals with cancer may also suffer from heart disease or other illnesses, which can jointly influence the prognosis of risks and censoring. Traditional survival…

Machine Learning · Statistics 2025-03-12 Xin Liu , Weijia Zhang , Min-Ling Zhang

Survival analysis is a critical tool for modeling time-to-event data. Recent deep learning-based models have reduced various modeling assumptions including proportional hazard and linearity. However, a persistent challenge remains in…

Machine Learning · Computer Science 2025-12-30 Maxmillan Ries , Sohan Seth

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

Applications · Statistics 2018-07-04 Nandini Kannan , Debasis Kundu

The conditional survival function of a time-to-event outcome subject to censoring and truncation is a common target of estimation in survival analysis. This parameter may be of scientific interest and also often appears as a nuisance in…

Methodology · Statistics 2024-08-20 Charles J. Wolock , Peter B. Gilbert , Noah Simon , Marco Carone

We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models can be efficiently treated by means of…

Statistics Theory · Mathematics 2010-10-11 Gareth O. Roberts , Laura M. Sangalli

Cure rate models address survival data in which a proportion of individuals will never experience the event of interest. Existing parametric approaches are predominantly based on finite mixtures, which impose restrictive assumptions on both…

Methodology · Statistics 2026-01-28 Martin Bladt , Jorge Yslas

Mediation analysis is one of the most widely used statistical techniques in the social, behavioral, and medical sciences. Mediation models allow to study how an independent variable affects a dependent variable indirectly through one or…

Computation · Statistics 2022-08-18 Andreas Alfons , Nüfer Y. Ateş , Patrick J. F. Groenen

Semiparametric joint models of longitudinal and competing risks data are computationally costly and their current implementations do not scale well to massive biobank data. This paper identifies and addresses some key computational barriers…

Methodology · Statistics 2022-02-10 Shanpeng Li , Ning Li , Hong Wang , Jin Zhou , Hua Zhou , Gang Li

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

Methodology · Statistics 2022-10-07 Emil Aas Stoltenberg

This paper introduces an assumption-lean method that constructs valid and efficient lower predictive bounds (LPBs) for survival times with censored data. We build on recent work by Cand\`es et al. (2021), whose approach first subsets the…

Methodology · Statistics 2023-11-08 Yu Gui , Rohan Hore , Zhimei Ren , Rina Foygel Barber

There is currently a focus on statistical methods which can use external trial information to help accelerate the discovery, development and delivery of medicine. Bayesian methods facilitate borrowing which is "dynamic" in the sense that…

Methodology · Statistics 2024-08-09 Sophia Axillus , Alex Lewin , Darren Scott