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Background: The hazard ratio of the Cox proportional hazards model is widely used in randomized controlled trials to assess treatment effects. However, two properties of the hazard ratio including the non-collapsibility and built-in…

Methodology · Statistics 2024-01-17 Helen Bian , Menglan Pang , Guanbo Wang , Zihang Lu

In the analysis of survival outcome supplemented with both clinical information and high-dimensional gene expression data, use of the traditional Cox proportional hazards model (1972) fails to meet some emerging needs in biomedical…

Computation · Statistics 2018-02-26 Jean Claude Utazirubanda , Tomas Leon , Papa Ngom

Longitudinal and high-dimensional measurements have become increasingly common in biomedical research. However, methods to predict survival outcomes using covariates that are both longitudinal and high-dimensional are currently missing. In…

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

Methodology · Statistics 2021-06-08 Lu Xia , Bin Nan , Yi Li

Accurate and transparent prediction of cancer survival times on the level of individual patients can inform and improve patient care and treatment practices. In this paper, we design a model that concurrently learns to accurately predict…

Machine Learning · Computer Science 2018-01-31 Maruan Al-Shedivat , Avinava Dubey , Eric P. Xing

Cox proportional hazards model is one of the most popular models in biomedical data analysis. There have been continuing efforts to improve the flexibility of such models for complex signal detection, for example, via additive functions.…

Methodology · Statistics 2022-05-25 Boyi Guo , Nengjun Yi

Previous studies have shown that hazard ratios between treatment groups estimated with the Cox model are uninterpretable because the unspecified baseline hazard of the model fails to identify temporal change in the risk set composition due…

Machine Learning · Statistics 2025-09-04 Takashi Hayakawa , Satoshi Asai

Bayesian predictive probabilities of success (PPoS) use interim trial data to calculate the probability of trial success. These quantities can be used to optimize trial size or to stop for futility. In this paper, we describe a…

In survival analysis, cure models have gained much importance due to rapid advancements in medical sciences. More recently, a subset of cure models, called destructive cure models, have been studied extensively under competing risks…

Methodology · Statistics 2021-09-20 Narayanaswamy Balakrishnan , Sandip Barui

When planning a clinical trial for a time-to-event endpoint, we require an estimated effect size and need to consider the type of effect. Usually, an effect of proportional hazards is assumed with the hazard ratio as the corresponding…

Methodology · Statistics 2026-03-02 Moritz Fabian Danzer , Ina Dormuth

This paper considers a proportional hazards model, which allows one to examine the extent to which covariates interact nonlinearly with an exposure variable, for analysis of lifetime data. A local partial-likelihood technique is proposed to…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Huazhen Lin , Yong Zhou

For right censored survival data, it is well known that the mean survival time can be consistently estimated when the support of the censoring time contains the support of the survival time. In practice, however, this condition can be…

Statistics Theory · Mathematics 2013-08-01 Ying Ding , Bin Nan

Recent research has shown the potential for neural networks to improve upon classical survival models such as the Cox model, which is widely used in clinical practice. Neural networks, however, typically rely on data that are centrally…

Machine Learning · Computer Science 2022-07-12 Dekai Zhang , Francesca Toni , Matthew Williams

Most prediction models that are used in medical research fail to accurately predict health outcomes due to methodological limitations. Using routinely collected patient data, we explore the use of a Cox proportional hazard (PH) model within…

Methodology · Statistics 2019-07-19 John Mbotwa , Marc de Kamps , Paul D. Baxter , Mark S. Gilthorpe

IMPORTANCE: Time-to-event outcomes are commonly used in clinical trials and biomarker discovery studies and have been primarily analyzed using Cox proportional hazards models. But it's unclear which statistical models should be recommended…

Methodology · Statistics 2022-08-23 Rong Lu

The piecewise exponential model is a flexible non-parametric approach for time-to-event data, but extrapolation beyond final observation times typically relies on random walk priors and deterministic knot locations, resulting in unrealistic…

Methodology · Statistics 2025-05-12 Luke Hardcastle , Samuel Livingstone , Gianluca Baio

Cure models have been widely developed to estimate the cure fraction when some subjects never experience the event of interest. However these models were rarely focused on the estimation of the time-to-cure i.e. the delay elapsed between…

A comprehensive, unified approach to modeling arbitrarily censored spatial survival data is presented for the three most commonly-used semiparametric models: proportional hazards, proportional odds, and accelerated failure time. Unlike many…

Applications · Statistics 2017-07-04 Haiming Zhou , Timothy Hanson

Proportional hazards (PH), proportional odds (PO) and accelerated failure time (AFT) models have been widely used to deal with survival data in different fields of knowledge. Despite their popularity, such models are not suitable to handle…

Methodology · Statistics 2019-10-08 Fabio N. Demarqui , Vinicius D. Mayrink

We explore whether survival model performance in underrepresented high- and low-risk subgroups - regions of the prognostic spectrum where clinical decisions are most consequential - can be improved through targeted restructuring of the…

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