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Related papers: Component-based regularisation of multivariate gen…

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We address the component-based regularisation of a multivariate Generalized Linear Mixed Model (GLMM). A set of random responses Y is modelled by a GLMM, using a set X of explanatory variables, a set T of additional covariates, and random…

Methodology · Statistics 2019-08-22 Jocelyn Chauvet , Catherine Trottier , Xavier Bry , Frederic Mortier

We address component-based regularisation of a multivariate Generalized Linear Mixed Model. A set of random responses Y is modelled by a GLMM, using a set X of explanatory variables and a set T of additional covariates. Variables in X are…

Methodology · Statistics 2018-01-23 Jocelyn Chauvet , Catherine Trottier , Xavier Bry , Frédéric Mortier

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time-points). A random response y is…

Methodology · Statistics 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

This paper introduces a method for studying the correlation structure of a range of responses modelled by a multivariate generalised linear mixed model (MGLMM). The methodology requires the existence of clusters of observations and that…

Methodology · Statistics 2021-08-02 Jeanett S. Pelck , Rodrigo Labouriau

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time points). A random response y is…

Methodology · Statistics 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

Conditional Gaussian graphical models (cGGM) are a recent reparametrization of the multivariate linear regression model which explicitly exhibits $i)$ the partial covariances between the predictors and the responses, and $ii)$ the partial…

Methodology · Statistics 2014-09-26 Julien Chiquet , Tristan Mary-Huard , Stéphane Robin

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

Methodology · Statistics 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau

We propose an approach for fitting linear regression models that splits the set of covariates into groups. The optimal split of the variables into groups and the regularized estimation of the regression coefficients are performed by…

Methodology · Statistics 2019-12-13 Anthony Christidis , Ruben Zamar , Laks V. S. Lakshmanan , Ezequiel Smucler

Here we propose an algorithm, named generalized orthogonal components regression (GOCRE), to explore the relationship between a categorical outcome and a set of massive variables. A set of orthogonal components are sequentially constructed…

Methodology · Statistics 2013-04-18 Yanzhu Lin , Min Zhang , Dabao Zhang

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

Methodology · Statistics 2020-09-11 Rong Liu , Wolfgang Karl Härdle

ProfileGLMM is an R package integrating Generalised Linear Mixed Models (GLMMs) as the outcome model for Bayesian profile regression. This statistical framework simultaneously i) explains the variation in the outcome and ii) clusters the…

Methodology · Statistics 2026-04-23 Matteo Amestoy , Mark A. van de Wiel , Wessel N. van Wieringen

The Generalized Linear Model (GLM) for the Gamma distribution (glmGamma) is widely used in modeling continuous, non-negative and positive-skewed data, such as insurance claims and survival data. However, model selection for GLM depends on…

Methodology · Statistics 2018-04-24 Xin Chen , Aleksandr Y. Aravkin , R. Douglas Martin

We propose an L1-penalized algorithm for fitting high-dimensional generalized linear mixed models. Generalized linear mixed models (GLMMs) can be viewed as an extension of generalized linear models for clustered observations. This…

Computation · Statistics 2014-06-03 Jürg Schelldorfer , Lukas Meier , Peter Bühlmann

We consider the consistency properties of a regularised estimator for the simultaneous identification of both changepoints and graphical dependency structure in multivariate time-series. Traditionally, estimation of Gaussian Graphical…

Statistics Theory · Mathematics 2017-12-18 Alex J. Gibberd , Sandipan Roy

Regularized regression models are well studied and, under appropriate conditions, offer fast and statistically interpretable results. However, large data in many applications are heterogeneous in the sense of harboring distributional…

Methodology · Statistics 2022-10-25 Konstantinos Perrakis , Thomas Lartigue , Frank Dondelinger , Sach Mukherjee

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

Computation · Statistics 2024-03-15 Samuel I. Watson

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

Methodology · Statistics 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

Generalized linear mixed-effects models (GLMMs) are widely used to analyze grouped and hierarchical data. In a GLMM, each response is assumed to follow an exponential-family distribution where the natural parameter is given by a linear…

Machine Learning · Statistics 2026-04-14 Yuli Slavutsky , Sebastian Salazar , David M. Blei

In the last few decades, the study of ordinal data in which the variable of interest is not exactly observed but only known to be in a specific ordinal category has become important. In Psychometrics such variables are analysed under the…

Econometrics · Economics 2025-01-22 Bernard M. S. van Praag , J. Peter Hop , William H. Greene

We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

Methodology · Statistics 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen
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