# Cure Models in Survival Analysis

@inproceedings{Amico2018CureMI, title={Cure Models in Survival Analysis}, author={Ma{\"i}lis Amico and Ingrid Van Keilegom}, year={2018} }

When analyzing time-to-event data, it often happens that a certain fraction of the data corresponds to subjects who will never experience the event of interest. These event times are considered as infinite and the subjects are said to be cured. Survival models that take this feature into account are commonly referred to as cure models. This article reviews the literature on cure regression models in which the event time (response) is subject to random right censoring and has a positive…

## 55 Citations

A general approach for cure models in survival analysis

- MathematicsThe Annals of Statistics
- 2020

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…

Joint longitudinal and time-to-event cure models for the assessment of being cured

- PsychologyStatistical methods in medical research
- 2019

This research focuses on the conditional probability of being cured after a medical intervention given survival until a certain time and considers joint models for longitudinal and survival data given a cure fraction.

Assessing cure status prediction from survival data using receiver operating characteristic curves

- Computer Science
- 2020

A Roc curve estimator is proposed that aims to evaluate the cured/noncured status classification performance from cure survival data and is compared with the classical Roc curve nonparametric estimator that would be obtained if the cure status was fully observed.

Efficient Estimation For The Cox Proportional Hazards Cure Model

- Mathematics
- 2019

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…

Dealing with Heterogeneity in Discrete Survival Analysis using the Cure Model

- Mathematics
- 2019

Patients with no positive lymph nodes, a very small tumor, which can be well differentiated from healthy cells and with ethnicity which is neither black or white have the best estimated chances to belong to the long-term survivors of breast cancer.

Nonparametric covariate hypothesis tests for the cure rate in mixture cure models

- MathematicsStatistics in medicine
- 2020

This work proposes a nonparametric covariate hypothesis test for the probability of cure in mixture cure models, and proposes a bootstrap method to approximate the null distribution of the test statistic.

Nonparametric estimation of conditional cure models for heavy-tailed distributions and under insufficient follow-up

- Mathematics
- 2019

When analyzing time-to-event data, it often happens that some subjects do not experience the event of interest. Survival models that take this feature into account (called `cure models') have been…

Applying mixture cure survival modeling to medication persistence analysis

- BiologyPharmacoepidemiology and drug safety
- 2022

This work aimed to introduce a mixture cure model in the medication persistence analysis to describe the characteristics of long‐term and short‐term persistent patients, and demonstrate its application using a real‐world data analysis.

Cure models to estimate time until hospitalization due to COVID-19

- Computer ScienceAppl. Intell.
- 2022

The main conclusions are presented, illustrating the usefulness of cure models in this kind of studies, where the influence of age and sex on the time to hospital admission is shown.

Extremes of censored and uncensored lifetimes in survival data

- MathematicsExtremes
- 2021

We consider a random censoring model for survival analysis, allowing the possibility that only a proportion of individuals in the population are susceptible to death or failure, and the remainder are…

## References

SHOWING 1-10 OF 84 REFERENCES

Cure Rate Model with Measurement Error

- MathematicsCommun. Stat. Simul. Comput.
- 2007

This article considers the approach of Chen et al. (1999) for censored data, and discusses the case where covariates may be measured with error, and simulations and an application to a real dataset are presented.

Variable selection in a flexible parametric mixture cure model with interval‐censored data

- MathematicsStatistics in medicine
- 2016

A parametric but flexible statistical model to analyze data that are interval‐censored and include a fraction of cured individuals when the number of potential covariates may be large, along with an accelerated failure time regression model for the survival and the extended generalized gamma for the error term is developed.

A general approach for cure models in survival analysis

- MathematicsThe Annals of Statistics
- 2020

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…

Estimating the proportion of cured patients in a censored sample

- MathematicsStatistics in medicine
- 2005

A simple multiple imputation algorithm is proposed for the analysis of censored data which combines a binary regression formulation for the probability of occurrence of an event, say recurrence of the breast cancer tumour, and a Cox's proportional hazards regression model for the time to occurrence of the event if it does.

Inference in a Survival Cure Model with Mismeasured Covariates using a SIMEX Approach

- Mathematics
- 2014

In many situations in survival analysis, it may happen that a fraction of individuals will never experience the event of interest: they are considered to be cured. The promotion time cure model is…

The accelerated failure time model: a useful alternative to the Cox regression model in survival analysis.

- MathematicsStatistics in medicine
- 1992

In this article, some newly developed linear regression methods for analysing failure time observations have sound theoretical justification and can be implemented with an efficient numerical method.

Robustness of estimation methods in a survival cure model with mismeasured covariates

- MathematicsComput. Stat. Data Anal.
- 2017

A semi‐parametric accelerated failure time cure model

- Computer ScienceStatistics in medicine
- 2002

A semi‐parametric cure model in which covariates can affect both the incidence and the latency is proposed and applied to a data set of tonsil cancer patients treated with radiation therapy.

A Bayesian Long‐term Survival Model Parametrized in the Cured Fraction

- MathematicsBiometrical journal. Biometrische Zeitschrift
- 2009

This work investigates a cure rate model that comprehends some well-known proposals found in the literature and explores the use of Markov chain Monte Carlo methods to develop a Bayesian analysis in the proposed model.