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Accelerated failure time (AFT) models provide a direct and interpretable time-scale description of covariate effects in lifetime data analysis, but classical formulations rely on linear predictors and are therefore limited in their ability…

Machine Learning · Statistics 2026-03-20 Mebin Jose , Jisha Francis , Sudheesh Kumar Kattumannil

We introduce a numerically tractable formulation of Bayesian joint models for longitudinal and survival data. The longitudinal process is modelled using generalised linear mixed models, while the survival process is modelled using a…

Methodology · Statistics 2021-04-23 Danilo Alvares , Francisco Javier Rubio

There is wide interest in studying how the distribution of a continuous response changes with a predictor. We are motivated by environmental applications in which the predictor is the dose of an exposure and the response is a health…

Methodology · Statistics 2018-05-10 Antonio Canale , Daniele Durante , David Dunson

Not only does mobile health technology enable researchers to track changes in multiple longitudinal outcomes of interest and to record the occurrence of health-related events over time, but it also allows for the delivery of repeated…

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

Methodology · Statistics 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Although treatment effects can be estimated from observed outcome distributions obtained from proper randomization in clinical trials, covariate adjustment is recommended to increase precision. For important treatment effects, such as odds…

Methodology · Statistics 2025-07-03 Susanne Dandl , Torsten Hothorn

In randomized trials and observational studies, it is often necessary to evaluate the extent to which an intervention affects a time-to-event outcome, which is only partially observed due to right censoring. For instance, in infectious…

Methodology · Statistics 2024-12-16 Yutong Jin , Peter B. Gilbert , Aaron Hudson

Motivated by genetic fine-mapping applications, we introduce a new approach to Bayesian variable selection regression (BVSR) for time-to-event (TTE) outcomes. This new approach is designed to deal with the specific challenges that arise in…

Methodology · Statistics 2025-06-09 Yunqi Yang , Karl Tayeb , Peter Carbonetto , Xiaoyuan Zhong , Carole Ober , Matthew Stephens

This paper explores foundational and applied aspects of survival analysis, using fall risk assessment as a case study. It revisits key time-related probability distributions and statistical methods, including logistic regression, Poisson…

Machine Learning · Computer Science 2025-01-07 Tianhua Chen

In biomedical studies it is of substantial interest to develop risk prediction scores using high-dimensional data such as gene expression data for clinical endpoints that are subject to censoring. In the presence of well-established…

Applications · Statistics 2011-11-24 Qi Long , Matthias Chung , Carlos S. Moreno , Brent A. Johnson

Palliative medicine is an interdisciplinary specialty focusing on improving quality of life (QOL) for patients with serious illness and their families. Palliative care programs are available or under development at over 80% of large US…

Background: Accurate survival prediction in breast cancer is essential for patient stratification and personalized therapy. Integrating gene expression data with clinical factors may enhance prognostic performance and support precision…

Quantitative Methods · Quantitative Biology 2025-08-26 Robert Amevor , Emmanuel Kubuafor , Dennis Baidoo , Junaidu Salifu , Koshali Muthunama Gonnage , Onyedikachi Joshua Okeke

It is standard practice for covariates to enter a parametric model through a single distributional parameter of interest, for example, the scale parameter in many standard survival models. Indeed, the well-known proportional hazards model…

Methodology · Statistics 2020-08-10 Kevin Burke , Gilbert MacKenzie

Survival analysis aims to explore the relationship between covariates and the time until the occurrence of an event. The Cox proportional hazards model is commonly used for right-censored data, but it is not strictly limited to this type of…

Methodology · Statistics 2025-07-02 Abdoulaye Dioni , Lynne Moore , Aida Eslami

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. This paper develops a sparse additive model focused on estimation of treatment effect-modification with simultaneous…

Methodology · Statistics 2020-06-02 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

We propose a multivariate framework for modeling dependent default times that extends the classical Cox process by incorporating both common and idiosyncratic shocks. Our construction uses c\`adl\`ag, increasing processes to model…

Probability · Mathematics 2025-08-08 Djibril Gueye , Alejandra Quintos

We consider the situation of estimating Cox regression in which some covariates are subject to missing, and there exists additional information (including observed event time, censoring indicator and fully observed covariates) which may be…

Methodology · Statistics 2017-10-16 Chiu-Hsieh Hsu , Mandi Yu

Cox proportional hazard model (CPH) is commonly used in clinical research for survival analysis. In quantitative medical imaging (radiomics) studies, CPH plays an important role in feature reduction and modeling. However, the underlying…

Quantitative Methods · Quantitative Biology 2019-06-27 Yucheng Zhang , Edrise M. Lobo-Mueller , Paul Karanicolas , Steven Gallinger , Masoom A. Haider , Farzad Khalvati

In multivariate regression, when covariates are numerous, it is often reasonable to assume that only a small number of them has predictive information. In some medical applications for instance, it is believed that only a few genes out of…

Methodology · Statistics 2022-07-12 Sylvain Sardy , Xiaoyu Ma

The case-cohort design obtains complete covariate data only on cases and on a random sample (the subcohort) of the entire cohort. Subsequent publications described the use of stratification and weight calibration to increase efficiency of…

Methodology · Statistics 2023-04-10 Lola Etievant , Mitchell H. Gail