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IMPORTANCE: Feature selection with respect to time-to-event outcomes is one of the fundamental problems in clinical trials and biomarker discovery studies. But it's unclear which statistical methods should be used when sample size is small…

Methodology · Statistics 2022-10-17 Rong Lu

Time-to-event endpoints show an increasing popularity in phase II cancer trials. The standard statistical tool for such one-armed survival trials is the one-sample log-rank test. Its distributional properties are commonly derived in the…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Andreas Faldum , Rene Schmidt

Covariate-adaptive randomization is popular in clinical trials with sequentially arrived patients for balancing treatment assignments across prognostic factors which may have influence on the response. However, existing theory on tests for…

Statistics Theory · Mathematics 2020-08-25 Ting Ye , Jun Shao

We address the problem of survival regression modelling with multivariate responses and nonlinear covariate effects. Our model extends the proportional hazards model by introducing several weakly-parametric elements: the marginal baseline…

Methodology · Statistics 2025-10-16 Na Lei , Mark A. Wolters , Wenqing He

Time to event outcomes are often evaluated on the hazard scale, but interpreting hazards may be difficult. Recently, there has been concern in the causal inference literature that hazards actually have a built in selection-effect that…

Methodology · Statistics 2020-02-07 Pål Christie Ryalen , Mats Julius Stensrud , Kjetil Røysland

Clinical trials are an integral component of medical research. Trials require careful design to, for example, maintain the safety of participants, use resources efficiently and allow clinically meaningful conclusions to be drawn. Adaptive…

Methodology · Statistics 2025-07-17 James M. McGree , Antony M. Overstall , Mark Jones , Robert K. Mahar

The conventional nonparametric tests in survival analysis, such as the log-rank test, assess the null hypothesis that the hazards are equal at all times. However, hazards are hard to interpret causally, and other null hypotheses are more…

Methodology · Statistics 2019-01-29 Mats Julius Stensrud , Kjetil Røysland , Pål Christie Ryalen

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

Applications · Statistics 2018-07-04 Nandini Kannan , Debasis Kundu

Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course…

Methodology · Statistics 2011-05-18 Jay Bartroff , Tze Leung Lai

Non-proportional hazards (NPH) are often observed in clinical trials with time-to-event endpoints. A common example is a long-term clinical trial with a delayed treatment effect in immunotherapy for cancer. When designing clinical trials…

Methodology · Statistics 2025-09-18 Yujie Zhao , Yilong Zhang , Larry Leon , Keaven M. Anderson

Adaptive experiments, including efficient average treatment effect estimation and multi-armed bandit algorithms, have garnered attention in various applications, such as social experiments, clinical trials, and online advertisement…

Methodology · Statistics 2021-03-24 Masahiro Kato

Several methods in survival analysis are based on the proportional hazards assumption. However, this assumption is very restrictive and often not justifiable in practice. Therefore, effect estimands that do not rely on the proportional…

Methodology · Statistics 2024-03-20 Merle Munko , Marc Ditzhaus , Dennis Dobler , Jon Genuneit

Non-proportional hazards (NPH) have been observed recently in many immuno-oncology clinical trials. Weighted log-rank tests (WLRT) with suitably chosen weights can be used to improve the power of detecting the difference of the two survival…

Methodology · Statistics 2023-01-18 Lili Wang , Xiaodong Luo , Cheng Zheng

Weighted logrank tests are a popular tool for analyzing right censored survival data from two independent samples. Each of these tests is optimal against a certain hazard alternative, for example the classical logrank test for proportional…

Statistics Theory · Mathematics 2018-07-17 Marc Ditzhaus , Sarah Friedrich

Leveraging external or historical data to improve the efficiency of randomized clinical trials without introducing bias or inflating the Type I error rate remains challenging. Recent work on externally trained prognostic scores, such as…

Methodology · Statistics 2026-05-28 Junyi Zhou , Qing Liu , May Mo , Amy Xia

Hazard models are the most commonly used tool to analyse time-to-event data. If more than one time scale is relevant for the event under study, models are required that can incorporate the dependence of a hazard along two (or more) time…

Methodology · Statistics 2025-01-14 Angela Carollo , Paul H. C. Eilers , Hein Putter , Jutta Gampe

Adaptive experiment designs can dramatically improve statistical efficiency in randomized trials, but they also complicate statistical inference. For example, it is now well known that the sample mean is biased in adaptive trials.…

Machine Learning · Statistics 2021-02-16 Vitor Hadad , David A. Hirshberg , Ruohan Zhan , Stefan Wager , Susan Athey

Survival models are a popular tool for the analysis of time to event data with applications in medicine, engineering, economics, and many more. Advances like the Cox proportional hazard model have enabled researchers to better describe…

Machine Learning · Statistics 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

We apply Gaussian process (GP) regression, which provides a powerful non-parametric probabilistic method of relating inputs to outputs, to survival data consisting of time-to-event and covariate measurements. In this context, the covariates…

Statistics Theory · Mathematics 2014-09-08 James E. Barrett , Anthony C. C. Coolen

Credit risk assessment is a crucial aspect of financial decision-making, enabling institutions to predict the likelihood of default and make informed lending decisions. Two prominent methodologies in credit risk modeling are logistic…

Applications · Statistics 2026-04-30 Cheng Lee , Hsi Lee