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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…

Machine Learning · Statistics 2020-11-06 Denise Rava , Jelena Bradic

Cox models with time-dependent coefficients and covariates are widely used in survival analysis. In high-dimensional settings, sparse regularization techniques are employed for variable selection, but existing methods for time-dependent Cox…

In clinical or epidemiological follow-up studies, methods based on time scale indicators such as the restricted mean survival time (RMST) have been developed to some extent. Compared with traditional hazard rate indicator system methods,…

Methodology · Statistics 2022-05-26 Chengfeng Zhang , Hongji Wu , Baoyi Huang , Hao Yuan , Yawen Hou , Zheng Chen

Advancement in sequencing technology enables the study of association between complex disorders and rare variants with low minor allele frequencies. One of the major challenges in rare variant testing is lack of statistical power of…

Quantitative Methods · Quantitative Biology 2016-07-27 Rui Sun , Haoyi Weng , Inchi Hu , Junfeng Guo , William K. K. Wu , Benny Chung-Ying Zee , Maggie Haitian Wang

Objective: In randomized clinical trials, prediction models can be used to explore the relationships between patients' variables (e.g., clinical, pathological, or lifestyle variables, and also biomarker or genomic data) and treatment effect…

Quantitative Methods · Quantitative Biology 2026-02-03 Elvire Roblin , Paul-Henry Cournède , Stefan Michiels

In observational studies with survival or time-to-event outcomes, a propensity score weighted marginal Cox proportional hazard model with the treatment variable as the only predictor is commonly used to estimate the causal marginal hazard…

Methodology · Statistics 2026-02-02 Zixian Zhao , Chengxin Yang , Fan Li

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

Methodology · Statistics 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

The relationship between a time-dependent covariate and survival times is usually evaluated via the Cox model. Time-dependent covariates are generally available as longitudinal data collected regularly during the course of the study. A…

Statistics Theory · Mathematics 2007-06-13 Jean-François Dupuy , Ion Grama , Mounir Mesbah

Background: The concept of combinatorial biomarkers was conceived around 2010: it was noticed that simple biomarkers are often inadequate for recognizing and characterizing complex diseases. Methods: Here we present an algorithmic search…

Neurons and Cognition · Quantitative Biology 2013-12-09 Balazs Szalkai , Vince K. Grolmusz , Vince I. Grolmusz , Coalition Against Major Diseases

Estimating causal effects from randomized experiments is central to clinical research. Reducing the statistical uncertainty in these analyses is an important objective for statisticians. Registries, prior trials, and health records…

Machine Learning · Statistics 2021-12-06 Alejandro Schuler , David Walsh , Diana Hall , Jon Walsh , Charles Fisher

To adapt kernel two-sample and independence testing to complex structured data, aggregation of multiple kernels is frequently employed to boost testing power compared to single-kernel tests. However, we observe a phenomenon that directly…

Machine Learning · Computer Science 2025-10-14 Zhijian Zhou , Xunye Tian , Liuhua Peng , Chao Lei , Antonin Schrab , Danica J. Sutherland , Feng Liu

In this study, we address the challenge of survival analysis within heterogeneous patient populations, where traditional reliance on a single regression model such as the Cox proportional hazards (Cox PH) model often falls short.…

Methodology · Statistics 2025-04-15 Ahmad Talafha

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Identifying and utilising various biomarkers for tracking Alzheimer's disease (AD) progression have received many recent attentions and enable helping clinicians make the prompt decisions. Traditional progression models focus on extracting…

Machine Learning · Computer Science 2023-11-08 Xulong Wang , Yu Zhang , Menghui Zhou , Tong Liu , Jun Qi , Po Yang

Predicting the risk of clinical progression from cognitively normal (CN) status to mild cognitive impairment (MCI) or Alzheimer's disease (AD) is critical for early intervention in Alzheimer's disease (AD). Traditional survival models often…

Applications · Statistics 2025-03-24 Dhrubajyoti Ghosh , Samhita Pal , Michael Lutz , Sheng Luo

Imaging genetics aims to uncover the hidden relationship between imaging quantitative traits (QTs) and genetic markers (e.g. single nucleotide polymorphism (SNP)), and brings valuable insights into the pathogenesis of complex diseases, such…

Methodology · Statistics 2025-04-30 Zhibin Pu , Shufei Ge

When using the Cox model to analyze the effect of a time-varying treatment on a survival outcome, treatment is commonly included, using only the current level as a time-dependent covariate. Such a model does not necessarily assume that past…

Analysing subgroups defined by biomarkers is of increasing importance in clinical research. In some situations the biomarker is subject to misclassification error, meaning the true subgroups are identified with imperfect sensitivity and…

Methodology · Statistics 2018-01-16 Fang Wan , Andrew C. Titman , Thomas F. Jaki

Accelerated degradation tests are used to provide accurate estimation of lifetime properties of highly reliable products within a relatively short testing time. There data from particular tests at high levels of stress (e.\,g.\ temperature,…

Applications · Statistics 2021-10-13 Helmi Shat , Rainer Schwabe

In contrast to the popular Cox model which presents a multiplicative covariate effect specification on the time to event hazards, the semiparametric additive risks model (ARM) offers an attractive additive specification, allowing for direct…

Methodology · Statistics 2022-03-21 Tong Wang , Dipankar Bandyopadhyay , Samiran Sinha
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