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In survival analysis it often happens that some subjects under study do not experience the event of interest; they are considered to be `cured'. The population is thus a mixture of two subpopulations: the one of cured subjects, and the one…

Statistics Theory · Mathematics 2017-01-16 Valentin Patilea , Ingrid Van Keilegom

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

Survival analysis can sometimes involve individuals who will not experience the event of interest, forming what is known as the cured group. Identifying such individuals is not always possible beforehand, as they provide only right-censored…

Methodology · Statistics 2024-01-03 Jinqing Li , Jun Ma

Mixture cure models have been widely used to analyze survival data with a cure fraction. They assume that a subgroup of the individuals under study will never experience the event (cured subjects). So, the goal is twofold: to study both the…

Methodology · Statistics 2024-02-01 Ana López-Cheda , M. Amalia Jácome , Ignacio López-de-Ullibarri

While analysing time-to-event data, it is possible that a certain fraction of subjects will never experience the event of interest and they are said to be cured. When this feature of survival models is taken into account, the models are…

Methodology · Statistics 2020-01-27 Khandoker Akib Mohammad , Yuichi Hirose , Budhi Surya , Yuan Yao

Cure models have been widely developed to estimate the cure fraction when some subjects never experience the event of interest. However these models were rarely focused on the estimation of the time-to-cure i.e. the delay elapsed between…

Cure models have been developed as an alternative modelling approach to conventional survival analysis in order to account for the presence of cured subjects that will never experience the event of interest. Mixture cure models, which model…

Methodology · Statistics 2022-07-19 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

To address an important risk classification issue that arises in clinical practice, we propose a new mixture model via latent cure rate markers for survival data with a cure fraction. In the proposed model, the latent cure rate markers are…

Applications · Statistics 2009-10-12 Sungduk Kim , Yingmei Xi , Ming-Hui Chen

In recent years, mixture cure models have gained increasing popularity in survival analysis as an alternative to the Cox proportional hazards model, particularly in settings where a subset of patients is considered cured. The proportional…

Methodology · Statistics 2025-12-10 Fatih Kızılaslan , Valeria Vitelli

In this paper, we extend the vertical modeling approach for the analysis of survival data with competing risks to incorporate a cured fraction in the population, that is, a proportion of the population for which none of the competing events…

Methodology · Statistics 2015-08-18 M. A. Nicolaie , J. M. G. Taylor , C. Legrand

Interval censored data commonly arise in medical studies when the event time of interest is only known to lie within an interval. In the presence of a cure subgroup, conventional mixture cure models typically assume a logistic model for the…

Methodology · Statistics 2026-01-21 Xiaoru Huang , Tonghui Yu , Xiaoyu Liu

The mixture cure rate model is the most commonly used cure rate model in the literature. In the context of mixture cure rate model, the standard approach to model the effect of covariates on the cured or uncured probability is to use a…

Methodology · Statistics 2022-08-23 Suvra Pal , Yingwei Peng , Sandip Barui , Pei Wang

The Mixture Cure (MC) models constitute an appropriate and easily interpretable method when studying a time-to-event variable in a population comprised of both susceptible and cured individuals. In literature, those models usually assume…

Methodology · Statistics 2024-12-10 Georgios Karakatsoulis

A challenge when dealing with survival analysis data is accounting for a cure fraction, meaning that some subjects will never experience the event of interest. Mixture cure models have been frequently used to estimate both the probability…

Methodology · Statistics 2021-06-15 Eni Musta , Valentin Patilea , Ingrid Van Keilegom

We consider survival data in the presence of a cure fraction, meaning that some subjects will never experience the event of interest. We assume a mixture cure model consisting of two sub-models: one for the probability of being uncured…

Methodology · Statistics 2023-03-17 Eni Musta , Tsz Pang Yuen

Cure models in survival analysis deal with populations in which a part of the individuals cannot experience the event of interest. Mixture cure models consider the target population as a mixture of susceptible and non-susceptible…

Computation · Statistics 2018-06-26 Elena Lázaro , Carmen Armero , Virgilio Gómez-Rubio

This paper introduces a cure rate survival model by assuming that the time to the event of interest follows a beta prime distribution and that the number of competing causes of the event of interest follows a negative binomial distribution.…

Methodology · Statistics 2018-12-20 Jeremias Leão , Marcelo Bourguignon , Manoel Santos-Neto , Helton Saulo

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

Methodology · Statistics 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

In lifetime data, like cancer studies, theremay be long term survivors, which lead to heavy censoring at the end of the follow-up period. Since a standard survival model is not appropriate to handle these data, a cure model is needed. In…

Methodology · Statistics 2024-01-31 Ana López-Cheda , M. Amalia Jácome , Ingrid Van Keilegom , Ricardo Cao

In this paper, we propose a flexible cure rate model with frailty term in latent risk, which is obtained by incorporating a frailty term in risk function of latent competing causes. The number of competing causes of the event of interest…

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