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We propose a new likelihood-based approach for estimation, inference and variable selection for parametric cure regression models in time-to-event analysis under random right-censoring. In this context, it often happens that some subjects…

Methodology · Statistics 2020-07-17 Kevin Burke , Valentin Patilea

The mixture cure model for analyzing survival data is characterized by the assumption that the population under study is divided into a group of subjects who will experience the event of interest over some finite time horizon and another…

Methodology · Statistics 2022-03-30 Oswaldo Gressani , Christel Faes , Niel Hens

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

We propose a novel method for predicting time-to-event in the presence of cure fractions based on flexible survivals models integrated into a deep neural network framework. Our approach allows for non-linear relationships and…

Machine Learning · Statistics 2024-11-11 Victor Medina-Olivares , Stefan Lessmann , Nadja Klein

In biomedical studies, paired survival data arise naturally when two event times are observed within the same subject. Existing statistical models seldom accommodate both cure fractions and complex dependence structures. In this paper, we…

Methodology · Statistics 2026-04-28 Masaki Hino , Shogo Kato , Takeshi Emura

Multi-state models provide an extension of the usual survival/event-history analysis setting. In the medical domain, multi-state models give the possibility of further investigating intermediate events such as relapse and remission. In this…

Methodology · Statistics 2021-06-24 D. Manevski , H. Putter , M. Pohar Perme , E. F. Bonneville , J. Schetelig , L. C. de Wreede

Estimating the cure fraction in a diseased population, especially in the presence of competing mortality causes, is crucial for both patients and clinicians. It offers a valuable measure for monitoring and interpreting trends in disease…

In this article, we introduce the BNPqte R package which implements the Bayesian nonparametric approach of Xu, Daniels and Winterstein (2018) for estimating quantile treatment effects in observational studies. This approach provides…

Computation · Statistics 2021-06-29 Chuji Luo , Michael J. Daniels

Semi-competing risks refer to the setting where primary scientific interest lies in estimation and inference with respect to a non-terminal event, the occurrence of which is subject to a terminal event. In this paper, we present the R…

Computation · Statistics 2018-04-06 Danilo Alvares , Sebastien Haneuse , Catherine Lee , Kyu Ha Lee

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…

We consider survival data from a population with cured subjects in the presence of mismeasured covariates. We use the mixture cure model to account for the individuals that will never experience the event and at the same time distinguish…

Methodology · Statistics 2020-09-15 Eni Musta , Ingrid Van Keilegom

An important research topic in survival analysis is related to the modeling and estimation of the cure rate, i.e. the proportion of subjects that will never experience the event of interest. However, most estimation methods proposed so far…

Methodology · Statistics 2018-04-06 Mikael Escobar-Bach , Ingrid Van Keilegom

A novel mixture cure frailty model is introduced for handling censored survival data. Mixture cure models are preferable when the existence of a cured fraction among patients can be assumed. However, such models are heavily underexplored:…

Methodology · Statistics 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

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

The promotion time cure rate model (PCM) is an extensively studied model for the analysis of time-to-event data in the presence of a cured subgroup. There are several strategies proposed in the literature to model the latency part of PCM.…

Methodology · Statistics 2023-04-25 Suvra Pal , Wisdom Aselisewine

In survival analysis, longitudinal information on the health status of a patient can be used to dynamically update the predicted probability that a patient will experience an event of interest. Traditional approaches to dynamic prediction…

Methodology · Statistics 2025-06-16 Mirko Signorelli

Quasi-experimental evaluations are central for generating real-world causal evidence and complementing insights from randomized trials. The regression discontinuity design (RDD) is a quasi-experimental design that can be used to estimate…

Machine Learning · Statistics 2026-04-07 Maximilian Schuessler , Erik Sverdrup , Robert Tibshirani , Stefan Wager

Heterogeneous treatment effect estimation is critical in oncology, particularly in multi-arm trials with overlapping therapeutic components and long-term survivors. These shared mechanisms pose a central challenge to identifying causal…

Methodology · Statistics 2025-10-29 Peter Chang , John Kairalla , Arkaprava Roy

We consider nonparametric estimation of cure-rate based on mixture model under Case-1 interval censoring. We show that the nonparametric maximum-likelihood estimator (NPMLE) of cure-rate is non-unique as well as inconsistent, and propose…

Statistics Theory · Mathematics 2007-06-13 Arusharka Sen , Fang Tan

Health policy decisions are often informed by estimates of long-term survival based primarily on short-term data. A range of methods are available to include longer-term information, but there has previously been no comprehensive and…

Methodology · Statistics 2025-05-05 Christopher Jackson