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In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

Applications · Statistics 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado

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

We propose a two-stage estimation procedure for a copula-based model with semi-competing risks data, where the non-terminal event is subject to dependent censoring by the terminal event, and both events are subject to independent censoring.…

Methodology · Statistics 2024-10-28 Sakie J. Arachchige , Xinyuan Chen , Qian M. Zhou

Vine copulas are a flexible tool for multivariate non-Gaussian distributions. For data from an observational study where the explanatory variables and response variables are measured together, a proposed vine copula regression method uses…

Methodology · Statistics 2019-10-30 Bo Chang , Harry Joe

Multivariate datasets are common in various real-world applications. Recently, copulas have received significant attention for modeling dependencies among random variables. A copula-based information measure is required to quantify the…

Methodology · Statistics 2024-08-06 Mohd. Arshad , Swaroop Georgy Zachariah , Ashok Kumar Pathak

We address causal estimation in semi-competing risks settings, where a non-terminal event may be precluded by one or more terminal events. We define a principal-stratification causal estimand for treatment effects on the non-terminal event,…

Methodology · Statistics 2025-06-27 Karina Gelis-Cadena , Michael Daniels , Juned Siddique

Diagnostic test accuracy studies observe the result of a gold standard procedure that defines the presence or absence of a disease and the result of a diagnostic test. They typically report the number of true positives, false positives,…

Methodology · Statistics 2020-08-19 Aristidis K. Nikoloulopoulos

Understanding multivariate extreme events play a crucial role in managing the risks of complex systems since extremes are governed by their own mechanisms. Conditional on a given variable exceeding a high threshold (e.g.\ traffic…

Methodology · Statistics 2021-06-28 Valentin Courgeau , Almut E. D. Veraart

We demonstrate how the uncertainty of parameter point estimates can be assessed in a maximum likelihood framework in order to prevent overfitting and erroneous detection of time-inhomogeneity. The class of models we consider are regular…

Computation · Statistics 2012-05-23 Jakob Stöber , Ulf Schepsmeier

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

Methodology · Statistics 2012-04-05 Eike Christian Brechmann , Claudia Czado

It is often of interest to study the association between covariates and the cumulative incidence of a right-censored time-to-event outcome. When time-varying covariates are measured on a fixed discrete time scale, it is desirable to account…

Methodology · Statistics 2026-04-28 Hongxiang Qiu , Marco Carone , Alex Luedtke , Peter B. Gilbert

To draw real-world evidence about the comparative effectiveness of multiple time-varying treatments on patient survival, we develop a joint marginal structural survival model and a novel weighting strategy to account for time-varying…

Methodology · Statistics 2023-08-08 Liangyuan Hu , Jiayi Ji , Himanshu Joshi , Erick Scott , Fan Li

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

Methodology · Statistics 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

In this paper, we present a variable ranking approach established on a novel measure to select important variables in bivariate Copula Link-Based Additive Models (Marra & Radice, 2020). The proposal allows for identifying two sets of…

Methodology · Statistics 2024-10-14 Danilo Petti , Marcella Niglio , Marialuisa Restaino

This paper proposes a modelling strategy to infer the impact of a covariate on the dependence structure of right-censored clustered event time data. The joint survival function of the event times is modelled using a parametric conditional…

Methodology · Statistics 2016-06-07 Candida Geerdens , Elif Fidan Acar , Paul Janssen

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

Methodology · Statistics 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

Electronic health records (EHR) store hundreds of demographic and laboratory variables from large patient populations. Traditional statistical methods have limited capacity in processing mixed-type data (continuous, ordinal) and capturing…

Computation · Statistics 2026-04-10 Manar D. Samad , Yina Hou , Megan A. Witherow , Norou Diawara

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

Methodology · Statistics 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay
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