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We consider a joint survival and mixed-effects model to explain the survival time from longitudinal data and high-dimensional covariates in a population. The longitudinal data is modeled using a non linear mixed-effects model to account for…

Statistics Theory · Mathematics 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

Response-biased sampling, in which samples are drawn from a popula- tion according to the values of the response variable, is common in biomedical, epidemiological, economic and social studies. In particular, the complete obser- vations in…

Methodology · Statistics 2016-10-31 Kani Chen , Yuanyuan Lin , Yuan Yao , Chaoxu Zhou

The density ratio model (DRM) is a semiparametric model that relates the distributions from multiple samples to a nonparametrically defined reference distribution via exponential tilting, with finite-dimensional parameters governing their…

Methodology · Statistics 2025-11-13 James Hugh McVittie , Archer Gong Zhang

Survival regression aims to predict the time when an event of interest will take place, typically a death or a failure. A fully parametric method [18] is proposed to estimate the survival function as a mixture of individual parametric…

Machine Learning · Computer Science 2024-04-25 Qinxin Wang , Jiayuan Huang , Junhui Li , Jiaming Liu

Application of discrete-time survival methods for continuous-time survival prediction is considered. For this purpose, a scheme for discretization of continuous-time data is proposed by considering the quantiles of the estimated event-time…

Machine Learning · Statistics 2019-10-16 Håvard Kvamme , Ørnulf Borgan

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…

Machine Learning · Statistics 2025-05-28 Ricarda Graf , Susan Todd , M. Fazil Baksh

This paper develops computationally feasible methods for estimating random effects models in the context of regression modelling of multiple independent time series of discrete valued counts in which there is serial dependence. Given…

Methodology · Statistics 2016-06-10 W. T. M. Dunsmuir , C. McKendry , R. T. Dean

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

Machine Learning · Statistics 2020-01-13 Alexander Hanbo Li , Jelena Bradic

Survival analysis is a fundamental area of focus in biomedical research, particularly in the context of personalized medicine. This prominence is due to the increasing prevalence of large and high-dimensional datasets, such as omics and…

Machine Learning · Statistics 2024-08-23 Carlos García Meixide , Marcos Matabuena , Louis Abraham , Michael R. Kosorok

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

Machine Learning · Statistics 2019-02-12 Alexander Hanbo Li , Jelena Bradic

We propose a highly flexible distributional copula regression model for bivariate time-to-event data in the presence of right-censoring. The joint survival function of the response is constructed using parametric copulas, allowing for a…

Methodology · Statistics 2024-12-23 Guillermo Briseno-Sanchez , Nadja Klein , Andreas Groll , Andreas Mayr

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

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

Statistics Theory · Mathematics 2019-12-23 Hai Shu , Bin Nan

A survival dataset describes a set of instances (e.g. patients) and provides, for each, either the time until an event (e.g. death), or the censoring time (e.g. when lost to follow-up - which is a lower bound on the time until the event).…

Machine Learning · Computer Science 2023-06-22 Ali Hossein Gharari Foomani , Michael Cooper , Russell Greiner , Rahul G. Krishnan

The inactivity time, or lost lifespan specifically for mortality data, concerns time from occurrence of an event of interest to the current time point and has recently emerged as a new summary measure for cumulative information inherent in…

Methodology · Statistics 2020-04-14 Lauren C. Balmert , Ruosha Li , Limin Peng , Jong-Hyeon Jeong

Many epidemiological and clinical studies aim at analyzing a time-to-event endpoint. A common complication is right censoring. In some cases, it arises because subjects are still surviving after the study terminates or move out of the study…

Methodology · Statistics 2024-01-10 Andrew Ying

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

Methodology · Statistics 2021-11-16 Shenyi Pan , Harry Joe

In this paper we address the challenges posed by non-proportional hazards and informative censoring, offering a path toward more meaningful causal inference conclusions. We start from the marginal structural Cox model, which has been widely…

Methodology · Statistics 2023-11-15 Jiyu Luo , Denise Rava , Jelena Bradic , Ronghui Xu

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

We study explained variation under the additive hazards regression model for right-censored data. We consider different approaches for developing such a measure, and focus on one that estimates the proportion of variation in the failure…

Applications · Statistics 2020-09-02 Denise Rava , Ronghui Xu