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We propose a method to quantify uncertainty around individual survival distribution estimates using right-censored data, compatible with any survival model. Unlike classical confidence intervals, the survival bands produced by this method…

Methodology · Statistics 2025-12-18 Matteo Sesia , Vladimir Svetnik

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.…

Many medical decisions involve the use of dynamic information collected on individual patients toward predicting likely transitions in their future health status. If accurate predictions are developed, then a prognostic mode can identify…

Methodology · Statistics 2018-02-22 Aasthaa Bansal , Patrick J. Heagerty

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

In this paper, we propose a flexible model for survival analysis using neural networks along with scalable optimization algorithms. One key technical challenge for directly applying maximum likelihood estimation (MLE) to censored data is…

Machine Learning · Statistics 2021-12-07 Weijing Tang , Jiaqi Ma , Qiaozhu Mei , Ji Zhu

We develop a Starshaped Mean Residual Life (SMEL) framework for survival data with non-monotonic hazard patterns, where early-stage attrition is followed by mid-career stabilization. Unlike Cox proportional hazards models or standard mean…

Methodology · Statistics 2026-05-19 Mohammad Sepehrifar

This paper introduces new effect parameters for factorial survival designs with possibly right-censored time-to-event data. In the special case of a two-sample design it coincides with the concordance or Wilcoxon parameter in survival…

Statistics Theory · Mathematics 2018-07-30 Dennis Dobler , Markus Pauly

We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and…

Applications · Statistics 2015-11-06 Francisco J. Rubio , Yili Hong

Survival analysis, a foundational tool for modeling time-to-event data, has seen growing integration with machine learning (ML) approaches to handle the complexities of censored data and time-varying risks. Despite these advances,…

Quantitative Methods · Quantitative Biology 2025-02-05 Giovanni Birolo , Ivan Rossi , Flavio Sartori , Cesare Rollo , Tiziana Sanavia , Piero Fariselli

When modelling competing risks survival data, several techniques have been proposed in both the statistical and machine learning literature. State-of-the-art methods have extended classical approaches with more flexible assumptions that can…

In this manuscript we demonstrate the analysis of right-censored survival outcomes using the MRH package in R. The MRH package implements the multi-resolution hazard (MRH) model, which is a Polya-tree based, Bayesian semi-parametric method…

Computation · Statistics 2016-03-02 Yolanda Hagar , Vanja Dukic

The stratified proportional hazards model represents a simple solution to account for heterogeneity within the data while keeping the multiplicative effect on the hazard function. Strata are typically defined a priori by resorting to the…

Methodology · Statistics 2021-03-18 Riccardo Corradin , Luis Enrique Nieto-Barajas , Bernardo Nipoti

The abundance of modern health data provides many opportunities for the use of machine learning techniques to build better statistical models to improve clinical decision making. Predicting time-to-event distributions, also known as…

Machine Learning · Statistics 2020-12-15 Zidi Xiu , Chenyang Tao , Benjamin A. Goldstein , Ricardo Henao

Survival analysis studies time-modeling techniques for an event of interest occurring for a population. Survival analysis found widespread applications in healthcare, engineering, and social sciences. However, the data needed to train…

Machine Learning · Computer Science 2023-02-22 Alberto Archetti , Eugenio Lomurno , Francesco Lattari , André Martin , Matteo Matteucci

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

Survival analysis using pathology images poses a considerable challenge, as it requires the localization of relevant information from the multitude of tiles within whole slide images (WSIs). Current methods typically resort to a two-stage…

Image and Video Processing · Electrical Eng. & Systems 2024-09-09 Zhongwei Qiu , Hanqing Chao , Wenbin Liu , Yixuan Shen , Le Lu , Ke Yan , Dakai Jin , Yun Bian , Hui Jiang

Survival analysis has been developed and applied in the number of areas including manufacturing, finance, economics and healthcare. In healthcare domain, usually clinical data are high-dimensional, sparse and complex and sometimes there…

Machine Learning · Computer Science 2018-08-13 Milad Zafar Nezhad , Najibesadat Sadati , Kai Yang , Dongxiao Zhu

Random double truncation refers a situation in which the variable of interest is observed only when it falls within two random limits. Such phenomenon occurs in many applications of Survival Analysis and Epidemiology, among many other…

Methodology · Statistics 2020-04-21 Jacobo de Uña-Álvarez

We introduce an innovative approach that incorporates a Distributionally Robust Learning (DRL) approach into Cox regression to enhance the robustness and accuracy of survival predictions. By formulating a DRL framework with a Wasserstein…

Machine Learning · Computer Science 2025-06-10 Yeping Jin , Lauren Wise , Ioannis Ch. Paschalidis

Survival analysis is an important area of medical research, yet existing models often struggle to balance simplicity with flexibility. Simple models require minimal adjustments but come with strong assumptions, while more flexible models…

Methodology · Statistics 2025-08-22 Peter Knaus , Daniel Winkler , Sebastian F. Schoppmann , Gerd Jomrich