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Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

机器学习 · 统计学 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Nonlinear mixed effects models have received a great deal of attention in the statistical literature in recent years because of their flexibility in handling longitudinal studies, including human immunodeficiency virus viral dynamics,…

统计方法学 · 统计学 2021-09-28 Fernanda L. Schumacher , Dipak K. Dey , Victor H. Lachos

Various data modalities are common in real-world applications (e.g., electronic health records, medical images and clinical notes in healthcare). It is essential to develop multimodal learning methods to aggregate various information from…

机器学习 · 计算机科学 2025-11-06 Feng Wu , Tsai Hor Chan , Fuying Wang , Guosheng Yin , Lequan Yu

In clinical trials, studies often present longitudinal data or clustered data. These studies are commonly analyzed using linear mixed models (LMMs), usually considering Gaussian assumptions for random effect and error terms. Recently,…

统计方法学 · 统计学 2021-09-28 Fernanda L. Schumacher , Larissa A. Matos , Celso R. B. Cabral

We introduce an extension of finite mixture models by incorporating skew-normal distributions within a Hidden Markov Model framework. By assuming a constant transition probability matrix and allowing emission distributions to vary according…

统计方法学 · 统计学 2025-09-25 Andrea Nigri , Marco Forti , Han Lin Shang

Copula-based methods provide a flexible approach to build missing data imputation models of multivariate data of mixed types. However, the choice of copula function is an open question. We consider a Bayesian nonparametric approach by using…

统计方法学 · 统计学 2019-10-15 Jiali Wang , Anton Westveld , Bronwyn Loong , Alan Welsh

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),…

For a particular disease there may be two diagnostic tests developed, where each of the tests is subject to several studies. A quadrivariate generalized linear mixed model (GLMM) has been recently proposed to joint meta-analyse and compare…

统计方法学 · 统计学 2019-12-03 Aristidis K. Nikoloulopoulos

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

统计理论 · 数学 2015-08-18 M. Wojtyś , G. Marra

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

机器学习 · 统计学 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

This article proposes a graphical model that handles mixed-type, multi-group data. The motivation for such a model originates from real-world observational data, which often contain groups of samples obtained under heterogeneous conditions…

统计方法学 · 统计学 2023-01-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear…

应用统计 · 统计学 2016-05-02 Rui Martins

Copulas, generalized estimating equations, and generalized linear mixed models promote the analysis of grouped data where non-normal responses are correlated. Unfortunately, parameter estimation remains challenging in these three…

统计方法学 · 统计学 2024-10-16 Sarah S. Ji , Benjamin B. Chu , Hua Zhou , Kenneth Lange

We propose a Bayesian approach using improper priors for hierarchical linear mixed models with flexible random effects and residual error distributions. The error distribution is modelled using scale mixtures of normals, which can capture…

统计方法学 · 统计学 2018-02-06 F. J. Rubio , M. F. J. Steel

Many types of bounded data defined on the unit interval arise naturally as ratios of the form $X/(X + Y)$. In the existing literature, the main statistical models proposed for this type of bounded data typically based on the assumption that…

统计方法学 · 统计学 2026-03-04 Roberto Vila , Felipe Quintino , Marcelo Bourguignon

As the global HIV pandemic enters its fourth decade, increasing numbers of surveillance sites have been established which allows countries to look into the epidemics at a finer scale, e.g. at sub-national levels. Currently, the epidemic…

应用统计 · 统计学 2015-08-27 Le Bao , Xiaoyue Niu , Mary Mahy , Peter D. Ghys

We develop Graph-Coupled Hidden Markov Models (GCHMMs) for modeling the spread of infectious disease locally within a social network. Unlike most previous research in epidemiology, which typically models the spread of infection at the level…

社会与信息网络 · 计算机科学 2012-10-19 Wen Dong , Alex Pentland , Katherine A. Heller

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

统计方法学 · 统计学 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

We introduce a copula mixture model to perform dependency-seeking clustering when co-occurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend…

统计方法学 · 统计学 2012-07-03 Melanie Rey , Volker Roth

Model-based clustering techniques have been widely applied to various application areas, while most studies focus on canonical mixtures with unique component distribution form. However, this strict assumption is often hard to satisfy. In…

计算机视觉与模式识别 · 计算机科学 2025-02-13 Fei Zheng , Nicolas Duchateau