A tutorial on frailty models

TA Balan, H Putter - Statistical methods in medical research, 2020 - journals.sagepub.com
The hazard function plays a central role in survival analysis. In a homogeneous population,
the distribution of the time to event, described by the hazard, is the same for each individual …

The Frailty syndrome: clinical measurements and basic underpinnings in humans and animals

MJ Mohler, MJ Fain, AM Wertheimer, B Najafi… - Experimental …, 2014 - Elsevier
Frailty is an increasingly recognized syndrome resulting in age-related decline in function
and reserve across multiple physiologic systems. It presents as a hyperinflammable state …

Bayesian bivariate survival analysis using the power variance function copula

JS Romeo, R Meyer, DI Gallardo - Lifetime data analysis, 2018 - Springer
Copula models have become increasingly popular for modelling the dependence structure
in multivariate survival data. The two-parameter Archimedean family of Power Variance …

A time-varying Bayesian joint hierarchical copula model for analysing recurrent events and a terminal event: an application to the Cardiovascular Health Study

Z Li, VM Chinchilli, M Wang - Journal of the Royal Statistical …, 2020 - academic.oup.com
Recurrent events could be stopped by a terminal event, which commonly occurs in
biomedical and clinical studies. Taking the Cardiovascular Health Study as a motivating …

On the Addams family of discrete frailty distributions for modeling multivariate case I interval-censored data

M Bardo, N Hens, S Unkel - Biostatistics, 2024 - academic.oup.com
Random effect models for time-to-event data, also known as frailty models, provide a
conceptually appealing way of quantifying association between survival times and of …

Time varying frailty models and the estimation of heterogeneities in transmission of infectious diseases

S Unkel, CP Farrington, HJ Whitaker… - Journal of the Royal …, 2014 - academic.oup.com
A frailty modelling framework is presented for representing and making inference on
individual heterogeneities that are relevant to the transmission of infectious diseases …

Dynamic frailty models based on compound birth–death processes

H Putter, HC Van Houwelingen - Biostatistics, 2015 - academic.oup.com
Frailty models are used in survival analysis to model unobserved heterogeneity. They
accommodate such heterogeneity by the inclusion of a random term, the frailty, which is …

Correlated infections: quantifying individual heterogeneity in the spread of infectious diseases

CP Farrington, HJ Whitaker, S Unkel… - American journal of …, 2013 - academic.oup.com
In this paper, we propose new methods for investigating the extent of heterogeneity in
effective contact rates relevant to the transmission of infections. These methods exploit the …

The shape of the relative frailty variance induced by discrete random effect distributions in univariate and multivariate survival models

M Bardo, S Unkel - arXiv preprint arXiv:2303.04915, 2023 - arxiv.org
In statistical models for the analysis of time-to-event data, individual heterogeneity is usually
accounted for by means of one or more random effects, also known as frailties. In the vast …

Generalized inverse-Gaussian frailty models with application to TARGET neuroblastoma data

LSC Piancastelli, W Barreto-Souza… - Annals of the Institute of …, 2021 - Springer
A new class of survival frailty models based on the generalized inverse-Gaussian (GIG)
distributions is proposed. We show that the GIG frailty models are flexible and …