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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…

统计方法学 · 统计学 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

应用统计 · 统计学 2018-10-12 Pavel Krupskii , Marc G. Genton

Copula mixed models for trivariate (or bivariate) meta-analysis of diagnostic test accuracy studies accounting (or not) for disease prevalence have been proposed in the biostatistics literature to synthesize information. However, many…

统计方法学 · 统计学 2018-07-12 Aristidis K. Nikoloulopoulos

Although the independent censoring assumption is commonly used in survival analysis, it can be violated when the censoring time is related to the survival time, which often happens in many practical applications. To address this issue, we…

统计方法学 · 统计学 2024-08-28 Huazhen Yu , Lixin Zhang

Fully describing the entire data set is essential in multivariate risk assessment, since moderate levels of one variable can influence another, potentially leading it to be extreme. Additionally, modelling both non-extreme and extreme…

统计方法学 · 统计学 2025-03-11 Lídia M. André , Jonathan A. Tawn

Statistical modelling of covariate distributions allows to generate virtual populations or to impute missing values in a covariate dataset. Covariate distributions typically have non-Gaussian margins and show nonlinear correlation…

应用统计 · 统计学 2025-03-20 Niklas Hartung , Aleksandra Khatova

In medical studies, it is common the presence of a fraction of patients who do not experience the event of interest. These patients are people who are not at risk of the event or are patients who were cured during the research. The…

We introduce a general approach for modeling the dynamic of multivariate time series when the data are of mixed type (binary/count/continuous). Our method is quite flexible and conditionally on past values, each coordinate at time $t$ can…

统计方法学 · 统计学 2021-04-05 Zinsou Max Debaly , Lionel Truquet

We propose a model for unbalanced longitudinal data, where the univariate margins can be selected arbitrarily and the dependence structure is described with the help of a D-vine copula. We show that our approach is an extremely flexible…

统计方法学 · 统计学 2017-05-18 Matthias Killiches , Claudia Czado

We study offline change-point estimation for time series data exhibiting nonlinear serial dependence. To address this problem, we propose a copula-based Markov chain model with Weibull marginal distributions, which is suitable for modeling…

统计方法学 · 统计学 2026-05-29 Li-Hsien Sun , Zong-Yuan Huang , Yi-Ling Huang , Chi-Yang Chiu , Ning Ning

Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

统计方法学 · 统计学 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

As meta-analysis of multiple diagnostic tests impacts clinical decision making and patient health, there is growing interest in statistical models that synthesize evidence from studies comparing multiple diagnostic tests. To compare the…

统计方法学 · 统计学 2026-05-19 Aristidis K. Nikoloulopoulos

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

Longitudinal and survival sub-models are two building blocks for joint modelling of longitudinal and time to event data. Extensive research indicates separate analysis of these two processes could result in biased outputs due to their…

统计方法学 · 统计学 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

统计方法学 · 统计学 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

Mixed-effects quantile regression models are widely used to capture heterogeneous responses in hierarchically structured data. The asymmetric Laplace (AL) distribution has traditionally served as the basis for quantile regression; however,…

统计方法学 · 统计学 2025-06-24 Divan A. Burger , Sean van der Merwe , Emmanuel Lesaffre

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

统计方法学 · 统计学 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

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…

统计方法学 · 统计学 2024-08-06 Mohd. Arshad , Swaroop Georgy Zachariah , Ashok Kumar Pathak

Copulas are popular as models for multivariate dependence because they allow the marginal densities and the joint dependence to be modeled separately. However, they usually require that the transformation from uniform marginals to the…

统计方法学 · 统计学 2013-06-14 Minh-Ngoc Tran , Paolo Giordani , Xiuyan Mun , Robert Kohn , Mike Pitt

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

统计方法学 · 统计学 2019-08-12 Yongqiang Tang