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In time-to-event analyses in social sciences, there often exist endogenous time-varying variables, where the event status is correlated with the trajectory of the covariate itself. Ignoring this endogeneity will result in biased estimates.…

应用统计 · 统计学 2025-04-28 Sophie Potts , Anja Rappl , Karin Kurz , Elisabeth Bergherr

In survival studies it is important to record the values of key longitudinal covariates until the occurrence of event of a subject. For this reason, it is essential to study the association between longitudinal and time-to-event outcomes…

统计方法学 · 统计学 2021-06-09 Khandoker Akib Mohammad , Yuichi Hirose , Yuan Yao , Budhi Surya

Often in Phase 3 clinical trials measuring a long-term time-to-event endpoint, such as overall survival or progression-free survival, investigators also collect repeated measures on biomarkers which may be predictive of the primary…

统计方法学 · 统计学 2022-11-30 Abigail J. Burdon , Lisa V. Hampson , Christopher Jennison

This article considers the joint modeling of longitudinal covariates and partly-interval censored time-to-event data. Longitudinal time-varying covariates play a crucial role in obtaining accurate clinically relevant predictions using a…

统计方法学 · 统计学 2024-12-05 Annabel Webb , Nan Zou , Serigne Lo , Jun Ma

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

机器学习 · 统计学 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

This paper presents the first application of Gaussian Mixture Copula Models to the statistical modeling of driving scenarios for the safety validation of automated driving systems. Knowledge of the joint probability distribution of scenario…

机器人学 · 计算机科学 2026-01-27 Christian Reichenbächer , Philipp Rank , Jochen Hipp , Oliver Bringmann

We present a non-parametric prognostic framework for individualized event prediction based on joint modeling of both longitudinal and time-to-event data. Our approach exploits a multivariate Gaussian convolution process (MGCP) to model the…

机器学习 · 统计学 2023-07-04 Xubo Yue , Raed Kontar

Joint Models for longitudinal and time-to-event data have gained a lot of attention in the last few years as they are a helpful technique to approach common a data structure in clinical studies where longitudinal outcomes are recorded…

In biomedical studies it is common to collect data on multiple biomarkers during study follow-up for dynamic prediction of a time-to-event clinical outcome. The biomarkers are typically intermittently measured, missing at some event times,…

统计方法学 · 统计学 2021-07-05 Ning Li , Yi Liu , Shanpeng Li , Robert M. Elashoff , Gang Li

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…

统计理论 · 数学 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

Collecting multiple longitudinal measurements and time-to-event outcomes is a common practice in clinical and epidemiological studies, often focusing on exploring associations between them. Joint modeling is the standard analytical tool for…

统计方法学 · 统计学 2024-12-10 Taban Baghfalaki , Reza Hashemi , Catherine Helmer , Helene Jacqmin-Gadda

Increasing evidence suggests that variability in longitudinal biomarkers, in addition to their mean trajectory, carries prognostic information for time-to-event outcomes. However, standard joint models typically capture only the expected…

统计方法学 · 统计学 2026-05-08 Felix Boakye Oppong , Dimitris Rizopoulos , Thierry Gorlia , Nicole Erler

In longitudinal studies, time-varying covariates are often endogenous, meaning their values depend on both their own history and that of the outcome variable. This violates key assumptions of Generalized Linear Mixed Effects Models (GLMMs),…

We introduce a numerically tractable formulation of Bayesian joint models for longitudinal and survival data. The longitudinal process is modelled using generalised linear mixed models, while the survival process is modelled using a…

统计方法学 · 统计学 2021-04-23 Danilo Alvares , Francisco Javier Rubio

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

应用统计 · 统计学 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Dependence modeling of multivariate count data has garnered significant attention in recent years. Multivariate elliptical copulas are typically preferred in statistical literature to analyze dependence between repeated measurements of…

统计方法学 · 统计学 2025-01-22 Subhajit Chattopadhyay

Joint models for longitudinal and time-to-event data have seen many developments in recent years. Though spatial joint models are still rare and the traditional proportional hazards formulation of the time-to-event part of the model is…

统计方法学 · 统计学 2024-06-25 Anja Rappl , Thomas Kneib , Stefan Lang , Elisabeth Bergherr

In various data situations joint models are an efficient tool to analyze relationships between time dependent covariates and event times or to correct for event-dependent dropout occurring in regression analysis. Joint modeling connects a…

统计方法学 · 统计学 2018-10-25 Colin Griesbach , Andreas Mayr , Elisabeth Waldmann

We exploit Gaussian copulas to specify a class of multivariate circular distributions and obtain parametric models for the analysis of correlated circular data. This approach provides a straightforward extension of traditional multivariate…

统计方法学 · 统计学 2024-06-07 Francesco Lagona , Marco Mingione

This work introduces a novel approach for generating conditional probabilistic rainfall forecasts with temporal and spatial dependence. A two-step procedure is employed. Firstly, marginal location-specific distributions are jointly…

统计方法学 · 统计学 2025-03-31 David Huk , Rilwan A. Adewoyin , Ritabrata Dutta