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We consider the problem of estimating the distribution of time-to-event data that are subject to censoring and for which the event of interest might never occur, i.e., some subjects are cured. To model this kind of data in the presence of…

Statistics Theory · Mathematics 2018-06-05 François Portier , Ingrid Van Keilegom , Anouar El Ghouch

Survival time prediction from medical images is important for treatment planning, where accurate estimations can improve healthcare quality. One issue affecting the training of survival models is censored data. Most of the current survival…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Renato Hermoza , Gabriel Maicas , Jacinto C. Nascimento , Gustavo Carneiro

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

Variable selection naturally arises as a useful subject when faced with data with massive predictor space. In addition to the massive dimensionality, the data may be characterized by intra-subject correlation, and cure fraction, which are…

Methodology · Statistics 2025-12-24 Richard Tawiah , Shu Kay Ng , Geoffrey J. McLachlan

The cluster-weighted model (CWM) is a mixture model with random covariates which allows for flexible clustering and density estimation of a random vector composed by a response variable and by a set of covariates. In this class of models,…

Methodology · Statistics 2013-08-06 Salvatore Ingrassia , Antonio Punzo

Time-to-event endpoints are frequently used as outcomes in oncology and other disease areas where the outcome of interest may not be observed within a predetermined period. Although many analytical methods address the challenges of…

Methodology · Statistics 2026-04-14 Chen-Yen Lin , Susan Halabi , Taehwa Choi

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

Methodology · Statistics 2025-09-04 J. T. Korley

Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

Machine Learning · Computer Science 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

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

We propose a censored quantile regression estimator motivated by unbiased estimating equations. Under the usual conditional independence assumption of the survival time and the censoring time given the covariates, we show that the proposed…

Statistics Theory · Mathematics 2013-02-04 Chenlei Leng , Xingwei Tong

A constrained multivariate linear model is a multivariate linear model with the columns of its coefficient matrix constrained to lie in a known subspace. This class of models includes those typically used to study growth curves and…

Methodology · Statistics 2021-01-05 Dennis Cook , Liliana Forzani , Lan Liu

We propose a semiparametric model to study the effect of covariates on the distribution of a censored event time while making minimal assumptions about the censoring mechanism. The result is a partially identified model, in the sense that…

Methodology · Statistics 2025-03-19 Ilias Willems , Jad Beyhum , Ingrid Van Keilegom

To draw real-world evidence about the comparative effectiveness of multiple time-varying treatments on patient survival, we develop a joint marginal structural survival model and a novel weighting strategy to account for time-varying…

Methodology · Statistics 2023-08-08 Liangyuan Hu , Jiayi Ji , Himanshu Joshi , Erick Scott , Fan Li

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

In medical and biological research, longitudinal data and survival data types are commonly seen. Traditional statistical models mostly consider to deal with either of the data types, such as linear mixed models for longitudinal data, and…

Methodology · Statistics 2021-07-12 Jizi Shangguan

In survival analysis, estimating the fraction of 'immune' or 'cured' subjects who will never experience the event of interest, requires a sufficiently long follow-up period. A few statistical tests have been proposed to test the assumption…

Methodology · Statistics 2026-01-13 Tsz Pang Yuen , Eni Musta , Ingrid Van Keilegom

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

We study inference for censored survival data where some covariates are distorted by some unknown functions of an observable confounding variable in a multiplicative form. Example of this kind of data in medical studies is the common…

Methodology · Statistics 2020-06-03 Yanyan Liu , Yuanshan Wu , Jing Zhang , Haibo Zhou

In medical settings, treatment assignment may be determined by a clinically important covariate that predicts patients' risk of event. There is a class of methods from the social science literature known as regression discontinuity (RD)…

Methodology · Statistics 2019-08-13 Youngjoo Cho , Chen Hu , Debashis Ghosh

Structural Nested Mean Models (SNMMs) are useful for causal inference of treatment effects in longitudinal observational studies. Most existing works assume that the data are collected at pre-fixed time points for all subjects, which,…

Methodology · Statistics 2020-01-13 Shu Yang