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Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

Machine Learning · Statistics 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

In this paper we consider how to evaluate survival distribution predictions with measures of discrimination. This is a non-trivial problem as discrimination measures are the most commonly used in survival analysis and yet there is no clear…

Machine Learning · Statistics 2022-03-10 Raphael Sonabend , Andreas Bender , Sebastian Vollmer

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

Survival time is the primary endpoint of many randomized controlled trials, and a treatment effect is typically quantified by the hazard ratio under the assumption of proportional hazards. Awareness is increasing that in many settings this…

Methodology · Statistics 2023-10-04 Robin Ristl , Heiko Götte , Armin Schüler , Martin Posch , Franz König

The difference in restricted mean survival time (RMST) is a clinically meaningful measure to quantify treatment effect in randomized controlled trials, especially when the proportional hazards assumption does not hold. Several frequentist…

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

Assessing whether two patient populations exhibit comparable event dynamics is essential for evaluating treatment equivalence, pooling data across cohorts, or comparing clinical pathways across hospitals or strategies. We introduce a…

Methodology · Statistics 2026-04-10 Zoe Kristin Lange , Maryam Farhadizadeh , Holger Dette , Nadine Binder

The proportional hazards model represents the most commonly assumed hazard structure when analysing time to event data using regression models. We study a general hazard structure which contains, as particular cases, proportional hazards,…

Methodology · Statistics 2018-05-24 Francisco J. Rubio , Laurent Remontet , Nicholas P. Jewell , Aurélien Belot

In epidemiological or demographic studies, with variable age at onset, a typical quantity of interest is the incidence of a disease (for example the cancer incidence). In these studies, the individuals are usually highly heterogeneous in…

Statistics Theory · Mathematics 2025-05-20 Vivien Goepp , Jean-Christophe Thalabard , Grégory Nuel , Olivier Bouaziz

This paper provides guidance for researchers with some mathematical background on the conduct of time-to-event analysis in observational studies based on intensity (hazard) models. Discussions of basic concepts like time axis, event…

Gliomas are lethal type of central nervous system tumors with a poor prognosis. Recently, with the advancements in the micro-array technologies thousands of gene expression related data of glioma patients are acquired, leading for salient…

Genomics · Quantitative Biology 2020-11-03 Navodini Wijethilake , Dulani Meedeniya , Charith Chitraranjan , Indika Perera

Monitoring means to observe a system for any changes which may occur over time, using a monitor or measuring device of some sort. In this paper we formulate a problem of monitoring dates of maximal risk of a financial position. Thus, the…

Risk Management · Quantitative Finance 2009-02-17 Erick Trevino Aguilar

In clinical or epidemiological follow-up studies, methods based on time scale indicators such as the restricted mean survival time (RMST) have been developed to some extent. Compared with traditional hazard rate indicator system methods,…

Methodology · Statistics 2022-05-26 Chengfeng Zhang , Hongji Wu , Baoyi Huang , Hao Yuan , Yawen Hou , Zheng Chen

We present a neural network framework for learning a survival model to predict a time-to-event outcome while simultaneously learning a topic model that reveals feature relationships. In particular, we model each subject as a distribution…

Machine Learning · Computer Science 2024-06-06 George H. Chen , Linhong Li , Ren Zuo , Amanda Coston , Jeremy C. Weiss

We present a distribution-free CUSUM procedure designed for online change detection in a time series of low-rank images, particularly when the change causes a mean shift. We represent images as matrix data and allow for temporal dependence,…

Methodology · Statistics 2025-02-28 Tingnan Gong , Seong-Hee Kim , Yao Xie

Prediction of survival for cancer patients is an open area of research. However, many of these studies focus on datasets with a large number of patients. We present a novel method that is specifically designed to address the challenge of…

Machine Learning · Computer Science 2015-09-30 Hamid Reza Hassanzadeh , John H. Phan , May D. Wang

Mid-study design modifications are becoming increasingly accepted in confirmatory clinical trials, so long as appropriate methods are applied such that error rates are controlled. It is therefore unfortunate that the important case of…

Applications · Statistics 2014-05-08 Dominic Magirr , Thomas Jaki , Franz Koenig , Martin Posch

Antibodies, an essential part of our immune system, develop through an intricate process to bind a wide array of pathogens. This process involves randomly mutating DNA sequences encoding these antibodies to find variants with improved…

Populations and Evolution · Quantitative Biology 2018-09-24 Jean Feng , David A. Shaw , Vladimir N. Minin , Noah Simon , Frederick A. Matsen

In oncology clinical trials, tumor burden (TB) stands as a crucial longitudinal biomarker, reflecting the toll a tumor takes on a patient's prognosis. With certain treatments, the disease's natural progression shows the tumor burden…

Methodology · Statistics 2024-09-24 Ethan M. Alt , Yixiang Qu , Emily Damone , Jing-ou Liu , Chenguang Wang , Joseph G. Ibrahim

The modeling of time-to-event data, also known as survival analysis, requires specialized methods that can deal with censoring and truncation, time-varying features and effects, and that extend to settings with multiple competing events.…

Machine Learning · Statistics 2021-04-20 Andreas Bender , David Rügamer , Fabian Scheipl , Bernd Bischl
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