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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

In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ…

Methodology · Statistics 2026-01-14 Mirko Signorelli , Sophie Retif

Marginal structural models (MSMs) are often used to estimate causal effects of treatments on survival time outcomes from observational data when time-dependent confounding may be present. They can be fitted using, e.g., inverse probability…

Methodology · Statistics 2023-12-27 Shaun R Seaman , Ruth H Keogh

Predicting the timing and occurrence of events is a major focus of data science applications, especially in the context of biomedical research. Performance for models estimating these outcomes, often referred to as time-to-event or survival…

Methodology · Statistics 2024-06-07 Ying Jin , Andrew Leroux

Adoptive Cell Transfer therapy of cancer is currently in full development and mathematical modeling is playing a critical role in this area. We study a stochastic model developed by Baar et al. in 2015 for modeling immunotherapy against…

Populations and Evolution · Quantitative Biology 2020-03-09 Modibo Diabate , Loren Coquille , Adeline Samson

We estimate a general mixture of Markov jump processes. The key novel feature of the proposed mixture is that the transition intensity matrices of the Markov processes comprising the mixture are entirely unconstrained. The Markov processes…

Methodology · Statistics 2022-04-12 Halina Frydman , Budhi Surya

In clinical trials with recurrent events, such as repeated hospitalizations terminating with death, it is important to consider the patient events overall history for a thorough assessment of treatment effects. The occurrence of fewer…

Methodology · Statistics 2025-09-08 Alessandra Ragni , Torben Martinussen , Thomas Scheike

In this paper, we propose a maximum smoothed likelihood method to estimate the component density functions of mixture models, in which the mixing proportions are known and may differ among observations. The proposed estimates maximize a…

Methodology · Statistics 2014-07-14 Tao Yu , Pengfei Li , Jing Qin

Background Survival extrapolation is essential in the cost-effectiveness analysis to quantify the lifetime survival benefit associated with a new intervention, due to the restricted duration of randomized controlled trials (RCTs). Current…

Methodology · Statistics 2022-06-02 Zhaojing Che , Nathan Green , Gianluca Baio

We propose a new procedure for inference on optimal treatment regimes in the model-free setting, which does not require to specify an outcome regression model. Existing model-free estimators for optimal treatment regimes are usually not…

Methodology · Statistics 2020-07-06 Yunan Wu , Lan Wang

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

Methodology · Statistics 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

Imputation is a popular approach to handling censored, missing, and error-prone covariates -- all coarsened data types for which the true values are unknown. However, there are nuances to imputing these different data types based on the…

Methodology · Statistics 2025-04-29 Sarah C. Lotspeich , Ethan M. Alt

Progress in immunotherapy revolutionized the treatment landscape for advanced lung cancer, raising survival expectations beyond those that were historically anticipated with this disease. In the present study, we describe the methods for…

Applications · Statistics 2019-11-25 Lizet Sanchez , Patricia Lorenzo-Luaces , Claudia Fonte , Agustin Lage

In survival analysis, the estimation of the proportion of subjects who will never experience the event of interest, termed the cure rate, has received considerable attention recently. Its estimation can be a particularly difficult task when…

Statistics Theory · Mathematics 2025-04-02 Jan Beirlant , Martin Bladt , Ingrid Van Keilegom

Predictive recursion is an accurate and computationally efficient algorithm for nonparametric estimation of mixing densities in mixture models. In semiparametric mixture models, however, the algorithm fails to account for any uncertainty in…

Methodology · Statistics 2015-03-19 Ryan Martin , Surya T. Tokdar

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 study mixture of linear regression (random coefficient) models, which capture population heterogeneity by allowing the regression coefficients to follow an unknown distribution $G^*$. In contrast to common parametric methods that fix the…

Methodology · Statistics 2025-07-01 Hansheng Jiang , Adityanand Guntuboyina

Caliper matching is used to estimate causal effects of a binary treatment from observational data by comparing matched treated and control units. Units are matched when their propensity scores, the conditional probability of receiving…

Statistics Theory · Mathematics 2023-04-18 Máté Kormos , Stéphanie van der Pas , Aad van der Vaart

As cancer patient survival improves, late effects from treatment are becoming the next clinical challenge. Chemotherapy and radiotherapy, for example, potentially increase the risk of both morbidity and mortality from second malignancies…

Breast cancer remains a significant global health challenge, with prognosis and treatment decisions largely dependent on clinical characteristics. Accurate prediction of patient outcomes is crucial for personalized treatment strategies.…