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Survival is poor for patients with metastatic cancer, and it is vital to examine new biomarkers that can improve patient prognostication and identify those who would benefit from more aggressive therapy. In metastatic prostate cancer, two…

Methodology · Statistics 2024-08-07 Glenn Heller , Sean M. Devlin

This paper presents and derives the interrelations between survival analysis and master equation. Survival analysis deals with modeling the transitions between succeeding states of a system in terms of hazard rates. Questions related with…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

In semicompeting risks problems, nonterminal time-to-event outcomes such as time to hospital readmission are subject to truncation by death. These settings are often modeled with illness-death models for the hazards of the terminal and…

Methodology · Statistics 2019-02-27 Leah Comment , Fabrizia Mealli , Sebastien Haneuse , Corwin Zigler

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

Covariate imbalance between treatment groups makes it difficult to compare cumulative incidence curves in competing risk analyses. In this paper we discuss different methods to estimate adjusted cumulative incidence curves including inverse…

In many applications, it is important to identify subpopulations that survive longer or shorter than the rest of the population. In medicine, for example, it allows determining which patients benefit from treatment, and in predictive…

Machine Learning · Computer Science 2026-02-26 Mhd Jawad Al Rahwanji , Sascha Xu , Nils Philipp Walter , Jilles Vreeken

We introduce a general, flexible, parametric survival modelling framework which encompasses key shapes of hazard function (constant, increasing, decreasing, up-then-down, down-then-up), various common survival distributions (log-logistic,…

Methodology · Statistics 2019-01-11 Kevin Burke , M. C. Jones , Angela Noufaily

It is common in medical studies that the outcome of interest is truncated by death, meaning that a subject has died before the outcome could be measured. In this case, restricted analysis among survivors may be subject to selection bias.…

Methodology · Statistics 2018-04-25 Linbo Wang , Xiao-Hua Zhou , Thomas S. Richardson

Time-to-event prediction, e.g. cancer survival analysis or hospital length of stay, is a highly prominent machine learning task in medical and healthcare applications. However, only a few interpretable machine learning methods comply with…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Hubert Baniecki , Bartlomiej Sobieski , Patryk Szatkowski , Przemyslaw Bombinski , Przemyslaw Biecek

Estimating causal effects on time-to-event outcomes from observational data is particularly challenging due to censoring, limited sample sizes, and non-random treatment assignment. The need for answering such "when-if" questions--how the…

Machine Learning · Computer Science 2025-11-19 Jessy Xinyi Han , Devavrat Shah

While randomized controlled trials (RCTs) are the gold standard for estimating treatment effects in medical research, there is increasing use of and interest in using real-world data for drug development. One such use case is the…

Methodology · Statistics 2021-10-11 Devin Incerti , Michael T Bretscher , Ray Lin , Chris Harbron

The assessment of safety is an important aspect of the evaluation of new therapies in clinical trials, with analyses of adverse events being an essential part of this. Standard methods for the analysis of adverse events such as the…

Comparative binary outcome data are of fundamental interest in statistics and are often pooled in meta-analyses. Here we examine the simplest case where for each study there are two patient groups and a binary event of interest, giving rise…

Methodology · Statistics 2018-06-12 Rose Baker , Dan Jackson

Excess hazard modeling is one of the main tools in population-based cancer survival research. Indeed, this setting allows for direct modeling of the survival due to cancer even in the absence of reliable information on the cause of death,…

Methodology · Statistics 2022-04-12 A. Eletti , G. Marra , M. Quaresma , R. Radice , F. J. Rubio

Stratifying factors, like age and gender, can modify the effect of treatments and exposures on risk of a studied outcome. Several effect measures, including the relative risk, hazard ratio, odds ratio, and risk difference, can be used to…

Methodology · Statistics 2021-11-05 Jake Shannin , Babette A. Brumback

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

Methodology · Statistics 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Analyses of adverse events (AEs) are an important aspect of the evaluation of experimental therapies. The SAVVY (Survival analysis for AdVerse events with Varying follow-up times) project aims to improve the analyses of AE data in clinical…

Popular parametric and semiparametric hazards regression models for clustered survival data are inappropriate and inadequate when the unknown effects of different covariates and clustering are complex. This calls for a flexible modeling…

Applications · Statistics 2021-03-16 Piyali Basak , Antonio R. Linero , Debajyoti SInha , Stuart Lipsitz

Mediation analysis seeks to identify and quantify the paths by which an exposure affects an outcome. Intermediate variables which are effected by the exposure and which effect the outcome are known as mediators. There exists extensive work…

Methodology · Statistics 2020-11-13 James P. Long , Ehsan Irajizad , James D. Doecke , Kim-Anh Do , Min Jin Ha

Meta-analysis aims to combine effect measures from several studies. For continuous outcomes, the most popular effect measures use simple or standardized differences in sample means. However, a number of applications focus on the absolute…

Methodology · Statistics 2023-10-03 Elena Kulinskaya , David C. Hoaglin