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We consider the problem of testing the equality of conditional distributions of a response variable given a vector of covariates between two populations. Such a hypothesis testing problem can be motivated from various machine learning and…

Methodology · Statistics 2023-02-24 Xiaoyu Hu , Jing Lei

Period-prevalent cohorts are often used for their cost-saving potential in epidemiological studies of survival outcomes. Under this design, prevalent patients allow for evaluations of long-term survival outcomes without the need for long…

Methodology · Statistics 2024-10-28 Nicholas Hartman

A key challenge in genomics is to identify genetic variants that distinguish patients with different survival time following diagnosis or treatment. While the log-rank test is widely used for this purpose, nearly all implementations of the…

Quantitative Methods · Quantitative Biology 2013-09-18 Fabio Vandin , Alexandra Papoutsaki , Benjamin J. Raphael , Eli Upfal

Survival analysis often relies on Cox models, assuming both linearity and proportional hazards (PH). This study evaluates machine and deep learning methods that relax these constraints, comparing their performance with penalized Cox models…

Machine Learning · Computer Science 2025-10-21 Ivan Rossi , Flavio Sartori , Cesare Rollo , Giovanni Birolo , Piero Fariselli , Tiziana Sanavia

In this paper we introduce a generalization of classical risk measures in which the risk is represented by a step function taking two values, corresponding to two endogenously determined market regimes. This extends the traditional…

Probability · Mathematics 2026-03-16 Mihaela-Adriana Nistor , Ionel Popescu

In Bayesian inference for the Cox proportional hazards model, modeling the baseline hazard function is challenging. Recently, direct Bayesian inference using the partial likelihood is considered in the framework of general Bayesian…

Methodology · Statistics 2026-04-29 Tomohiro Ohigashi , Shunichiro Orihara , Shonosuke Sugasawa

Massive sized survival datasets are becoming increasingly prevalent with the development of the healthcare industry. Such datasets pose computational challenges unprecedented in traditional survival analysis use-cases. A popular way for…

Methodology · Statistics 2023-05-09 Nir Keret , Malka Gorfine

Combining patient-level data from clinical trials can connect rare phenomena with clinical endpoints, but statistical techniques applied to a single trial may become problematical when trials are pooled. Estimating the hazard of a binary…

Recently Liu and Wang derived the likelihood ratio test (LRT) statistic and its asymptotic distribution for testing equality of two multinomial distributions vs. the alternative that the second distribution is larger in terms of increasing…

Statistics Theory · Mathematics 2007-06-13 Arthur Cohen , John Kolassa , Harold Sackrowitz

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

Semi-parametric survival analysis methods like the Cox Proportional Hazards (CPH) regression (Cox, 1972) are a popular approach for survival analysis. These methods involve fitting of the log-proportional hazard as a function of the…

Machine Learning · Computer Science 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

Over the past decades, various methods for comparing the means of two log-normal have been proposed. Some of them are differing in terms of how the statistic test adjust to accept or to reject the null hypothesis. In this study, a new…

Statistics Theory · Mathematics 2014-05-20 Kamel Abdollahnezhad , M. Babanezhad , Ali Akbar Jafari

In survival analysis, Cox model is widely used for most clinical trial data. Alternatives include the additive hazard model, the accelerated failure time (AFT) model and a more general transformation model. All these models assume that the…

Methodology · Statistics 2016-03-24 Cheng Zheng , Ying Qing Chen

Modern health data science applications leverage abundant molecular and electronic health data, providing opportunities for machine learning to build statistical models to support clinical practice. Time-to-event analysis, also called…

A new stochastic method for describing mortality is proposed and explored. It is based on differences of observed times series of the transform $\log(-\log x)$ of survival probabilities which seem to follow simple patterns over the years.…

Applications · Statistics 2015-02-26 Meitner Cadena

A simple and common type of medical research involves the comparison of one treatment against another. The logical aim should be both to establish which treatment is superior and the strength of evidence supporting this conclusion, a task…

Methodology · Statistics 2022-12-08 Nicholas Adams

Survival analysis aims to explore the relationship between covariates and the time until the occurrence of an event. The Cox proportional hazards model is commonly used for right-censored data, but it is not strictly limited to this type of…

Methodology · Statistics 2025-07-02 Abdoulaye Dioni , Lynne Moore , Aida Eslami

This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

Statistics Theory · Mathematics 2020-06-01 Rémy Mariétan , Stephan Morgenthaler

We introduce the concept of forward rank-dependent performance processes, extending the original notion to forward criteria that incorporate probability distortions. A fundamental challenge is how to reconcile the time-consistent nature of…

Mathematical Finance · Quantitative Finance 2019-04-04 Xue Dong He , Moris S. Strub , Thaleia Zariphopoulou

Sequential multiple assignment randomized trials mimic the actual treatment processes experienced by physicians and patients in clinical settings and inform the comparative effectiveness of dynamic treatment regimes. In such trials,…

Methodology · Statistics 2025-04-07 Zi Wang , Yu Cheng , Abdus S. Wahed