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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

With known cause of death (CoD), competing risk survival methods are applicable in estimating disease-specific survival. Relative survival analysis may be used to estimate disease-specific survival when cause of death is either unknown or…

Methodology · Statistics 2021-12-10 Reuben Adatorwovor , Aurelien Latouche , Jason P. Fine

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

Relative survival represents the preferred framework for the analysis of population cancer survival data. The aim is to model the survival probability associated to cancer in the absence of information about the cause of death. Recent data…

In this paper, a long-term survival model under competing risks is considered. The unobserved number of competing risks is assumed to follow a negative binomial distribution that can capture both over- and under-dispersion. Considering the…

Methodology · Statistics 2021-07-22 Suvra Pal

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

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

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

In cancer epidemiology, the \emph{relative survival framework} is used to quantify the hazard associated with cancer by comparing the all-cause mortality hazard in cancer patients to that of the general population. This framework assumes…

Applications · Statistics 2024-11-05 Piyali Basak , Antonio R. Linero , Camille Maringe , F. Javier Rubio

In this paper we introduce a mixture cure model with a linear hazard rate regression model for the event times. Cure models are statistical models for event times that take into account that a fraction of the population might never…

Statistics Theory · Mathematics 2020-11-26 Emil Aas Stoltenberg

To make informed health policy decisions regarding a treatment, we must consider both its cost and its clinical effectiveness. In past work, we introduced the net benefit separation (NBS) as a novel measure of cost-effectiveness. The NBS is…

Methodology · Statistics 2021-01-27 Nicholas Illenberger , Nandita Mitra , Andrew J. Spieker

We develop a functional proportional hazards mixture cure (FPHMC) model with scalar and functional covariates measured at the baseline. The mixture cure model, useful in studying populations with a cure fraction of a particular event of…

Methodology · Statistics 2023-03-31 Rahul Ghosal , Marcos Matabuena , Jiajia Zhang

In this article, we develop nonparametric inference methods for comparing survival data across two samples, which are beneficial for clinical trials of novel cancer therapies where long-term survival is a critical outcome. These therapies,…

Methodology · Statistics 2024-09-05 Yi-Cheng Tai , Weijing Wang , Martin T. Wells

In cancer epidemiology using population-based data, regression models for the excess mortality hazard is a useful method to estimate cancer survival and to describe the association between prognosis factors and excess mortality. This method…

Methodology · Statistics 2019-04-19 Francisco J. Rubio , Bernard Rachet , Roch Giorgi , Camille Maringe , Aurelien Belot

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

In the presence of heterogeneity between the randomized controlled trial (RCT) participants and the target population, evaluating the treatment effect solely based on the RCT often leads to biased quantification of the real-world treatment…

Methodology · Statistics 2022-10-05 Dasom Lee , Shu Yang , Xiaofei Wang

We develop a multivariate cure survival model to estimate lifetime patterns of colorectal cancer screening. Screening data cover long periods of time, with sparse observations for each person. Some events may occur before the study begins…

Methodology · Statistics 2015-09-16 Yolanda Hagar , Danielle Harvey , Laurel Beckett

We propose a new method for the analysis of competing risks data with long term survivors. The proposed method enables us to estimate the overall survival probability and cure fraction simultaneously. We formulate the effect of covariates…

Statistics Theory · Mathematics 2022-04-28 Sudheesh K Kattumannil , Sreedevi E P , Sankaran P G

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

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
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