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A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

统计方法学 · 统计学 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

Competing risk analysis considers event times due to multiple causes, or of more than one event types. Commonly used regression models for such data include 1) cause-specific hazards model, which focuses on modeling one type of event while…

应用统计 · 统计学 2017-04-27 Jiayi Hou , Anthony Paravati , Ronghui Xu , James Murphy

Forecasting with longitudinal data has been rarely studied. Most of the available studies are for continuous response and all of them are for univariate response. In this study, we consider forecasting multivariate longitudinal binary data.…

应用统计 · 统计学 2014-03-13 Ozgur Asar , Ozlem Ilk

Gaussian processes (GPs) are widely used as distributions of random effects in linear mixed models, which are fit using the restricted likelihood or the closely-related Bayesian analysis. This article addresses two problems. First, we…

统计方法学 · 统计学 2018-05-04 Maitreyee Bose , James S. Hodges , Sudipto Banerjee

This text is a conceptual introduction to mixed effects modeling with linguistic applications, using the R programming environment. The reader is introduced to linear modeling and assumptions, as well as to mixed effects/multilevel…

计算与语言 · 计算机科学 2013-08-27 Bodo Winter

Recent technological advancements have led to the rapid generation of high-throughput biological data, which can be used to address novel scientific questions in broad areas of research. These data can be thought of as a large matrix with…

统计计算 · 统计学 2021-03-01 Jane W. Liang , Saunak Sen

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

机器学习 · 统计学 2017-10-18 Sheng Chen , Arindam Banerjee

The article develops marginal models for multivariate longitudinal responses. Overall, the model consists of five regression submodels, one for the mean and four for the covariance matrix, with the latter resulting by considering various…

统计方法学 · 统计学 2020-12-18 Georgios Papageorgiou

We consider a high-dimensional multi-outcome regression in which $q,$ possibly dependent, binary and continuous outcomes are regressed onto $p$ covariates. We model the observed outcome vector as a partially observed latent realization from…

统计方法学 · 统计学 2025-11-05 Soham Ghosh , Sameer K. Deshpande

Joint modelling of longitudinal observations and event times continues to remain a topic of considerable interest in biomedical research. For example, in HIV studies, the longitudinal bio-marker such as CD4 cell count in a patient's blood…

统计方法学 · 统计学 2024-07-19 Srimanti Dutta , Arindom Chakraborty , Dipankar Bandyopadhyay

this article illustrates the use of linear and bilinear random effects models to represent statistical dependencies that often characterize dyadic data such as international relations. In particular, we show how to estimate models for…

应用统计 · 统计学 2008-01-14 S. Alimoradi , M. Khalilian

In linear models, omitting a covariate that is orthogonal to covariates in the model does not result in biased coefficient estimation. This in general does not hold for longitudinal data, where additional assumptions are needed to get…

统计理论 · 数学 2023-05-30 Zhuowei Sun , Hongyuan Cao , Li Chen , Jason P. Fine

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

统计方法学 · 统计学 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin

Joint modelling of longitudinal and survival data is increasingly used in clinical trials on cancer. In prostate cancer for example, these models permit to account for the link between longitudinal measures of prostate-specific antigen…

The known connection between shrinkage estimation, empirical Bayes, and mixed effects models is explored and applied to balanced and unbalanced designs in which the responses are correlated. As an illustration, a mixed model is proposed for…

统计方法学 · 统计学 2022-01-04 Yihan Bao , James G. Booth

Mixed-effects models are among the most commonly used statistical methods for the exploration of multispecies data. In recent years, also Joint Species Distribution Models and Generalized Linear Latent Variale Models have gained in…

统计计算 · 统计学 2025-01-31 Bert van der Veen , Robert Brian O'Hara

In medical and biological research, longitudinal data and survival data types are commonly seen. Traditional statistical models mostly consider to deal with either of the data types, such as linear mixed models for longitudinal data, and…

统计方法学 · 统计学 2021-07-12 Jizi Shangguan

A statistical model is a mathematical representation of an often simplified or idealised data-generating process. In this paper, we focus on a particular type of statistical model, called linear mixed models (LMMs), that is widely used in…

统计方法学 · 统计学 2020-01-23 Emi Tanaka , Francis K. C. Hui

This article describes a full Bayesian treatment for simultaneous fixed-effect selection and parameter estimation in high-dimensional generalized linear mixed models. The approach consists of using a Bayesian adaptive Lasso penalty for…

统计方法学 · 统计学 2016-08-31 Dao Thanh Tung , Minh-Ngoc Tran , Tran Manh Cuong

Today, generalized linear mixed models are broadly used in many fields. However, the development of tools for performing simultaneous inference has been largely neglected in this domain. A framework for joint inference is indispensable to…

应用统计 · 统计学 2021-07-12 Katarzyna Reluga , María-José Lombardía , Stefan Sperlich