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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…

机器学习 · 计算机科学 2025-10-21 Ivan Rossi , Flavio Sartori , Cesare Rollo , Giovanni Birolo , Piero Fariselli , Tiziana Sanavia

The Cox regression, a semi-parametric method of survival analysis, is extremely popular in biomedical applications. The proportional hazards assumption is a key requirement in the Cox model. To accommodate non-proportional hazards, we…

统计方法学 · 统计学 2022-06-13 Alexander Begun , Elena Kulinskaya

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…

机器学习 · 计算机科学 2019-05-16 Chirag Nagpal , Rohan Sangave , Amit Chahar , Parth Shah , Artur Dubrawski , Bhiksha Raj

The Cox proportional hazards model is often used to analyze data from Randomized Controlled Trials (RCT) with time-to-event outcomes. Random survival forest (RSF) is a machine-learning algorithm known for its high predictive performance. We…

机器学习 · 统计学 2025-05-28 Ricarda Graf , Susan Todd , M. Fazil Baksh

Interval-censoring frequently occurs in studies of chronic diseases where disease status is inferred from intermittently collected biomarkers. Although many methods have been developed to analyze such data, they typically assume perfect…

统计方法学 · 统计学 2026-05-26 Yuhao Deng , Donglin Zeng , Yuanjia Wang

We describe a new approach to estimating relative risks in time-to-event prediction problems with censored data in a fully parametric manner. Our approach does not require making strong assumptions of constant proportional hazard of the…

机器学习 · 计算机科学 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski

Detection limits are common in biomedical and environmental studies, where key covariates or outcomes are censored below an assay-specific threshold. Standard approaches such as complete-case analysis, single-value substitution, and…

统计方法学 · 统计学 2025-12-12 Y. Xu , S. Tu L. Shao , T. Lin , X. M. Tu

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

统计理论 · 数学 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

Time-to-event analysis, also known as survival analysis, aims to predict the time of occurrence of an event, given a set of features. One of the major challenges in this area is dealing with censored data, which can make learning algorithms…

机器学习 · 计算机科学 2023-07-25 Hyunjun Lee , Junhyun Lee , Taehwa Choi , Jaewoo Kang , Sangbum Choi

Aalen's linear hazard rate regression model is a useful and increasingly popular alternative to Cox' multiplicative hazard rate model. It postulates that an individual has hazard rate function $h(s)=z_1\alpha_1(s)+\cdots+z_r\alpha_r(s)$ in…

统计方法学 · 统计学 2026-03-04 Nils Lid Hjort , Emil Aas Stoltenberg

We introduce a semi-parametric Bayesian model for survival analysis. The model is centred on a parametric baseline hazard, and uses a Gaussian process to model variations away from it nonparametrically, as well as dependence on covariates.…

机器学习 · 统计学 2016-11-04 Tamara Fernández , Nicolás Rivera , Yee Whye Teh

The hazard ratio from the Cox proportional hazards model is a ubiquitous summary of treatment effect. However, when hazards are non-proportional, the hazard ratio can lose a stable causal interpretation and become study-dependent because it…

统计方法学 · 统计学 2026-02-17 Xiang Meng , Lu Tian , Kenneth Kehl , Hajime Uno

Survival analysis is a statistical framework for modeling time-to-event data, particularly valuable in healthcare for predicting outcomes like patient discharge or recurrence. This study implements and compares several survival models -…

Semiparametric accelerated failure time (AFT) models are a useful alternative to Cox proportional hazards models, especially when the assumption of constant hazard ratios is untenable. However, rank-based criteria for fitting AFT models are…

统计方法学 · 统计学 2022-01-20 Piotr M. Suder , Aaron J. Molstad

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales well to large data…

机器学习 · 统计学 2019-09-16 Håvard Kvamme , Ørnulf Borgan , Ida Scheel

This paper explores foundational and applied aspects of survival analysis, using fall risk assessment as a case study. It revisits key time-related probability distributions and statistical methods, including logistic regression, Poisson…

机器学习 · 计算机科学 2025-01-07 Tianhua Chen

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

机器学习 · 统计学 2020-11-06 Denise Rava , Jelena Bradic

The cause of failure in cohort studies that involve competing risks is frequently incompletely observed. To address this, several methods have been proposed for the semiparametric proportional cause-specific hazards model under a missing at…

统计方法学 · 统计学 2020-02-24 Giorgos Bakoyannis , Ying Zhang , Constantin T. Yiannoutsos

The proportional hazards assumption in the commonly used Cox model for censored failure time data is often violated in scientific studies. Yang and Prentice (2005) proposed a novel semiparametric two-sample model that includes the…

统计方法学 · 统计学 2012-06-06 Guoqing Diao , Donglin Zeng , Song Yang

Cox proportional hazard regression model is a popular tool to analyze the relationship between a censored lifetime variable with other relevant factors. The semi-parametric Cox model is widely used to study different types of data arising…

统计方法学 · 统计学 2018-10-09 Abhik Ghosh , Ayanendranath Basu
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