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mcglm: Multivariate Covariance Generalized Linear Models

Fitting multivariate covariance generalized linear models (McGLMs) to data. McGLM is a general framework for non-normal multivariate data analysis, designed to handle multivariate response variables, along with a wide range of temporal and spatial correlation structures defined in terms of a covariance link function combined with a matrix linear predictor involving known matrices. The models take non-normality into account in the conventional way by means of a variance function, and the mean structure is modelled by means of a link function and a linear predictor. The models are fitted using an efficient Newton scoring algorithm based on quasi-likelihood and Pearson estimating functions, using only second-moment assumptions. This provides a unified approach to a wide variety of different types of response variables and covariance structures, including multivariate extensions of repeated measures, time series, longitudinal, spatial and spatio-temporal structures. The package offers a user-friendly interface for fitting McGLMs similar to the glm() R function. See Bonat (2018) <doi:10.18637/jss.v084.i04>, for more information and examples.

Version: 0.9.0
Depends: R (≥ 4.5.0)
Imports: stats, Matrix, assertthat, graphics, Rcpp (≥ 0.12.16)
LinkingTo: Rcpp, RcppArmadillo
Suggests: testthat, knitr, rmarkdown, MASS, mvtnorm, tweedie, devtools
Published: 2026-01-08
DOI: 10.32614/CRAN.package.mcglm
Author: Wagner Hugo Bonat [aut, cre]
Maintainer: Wagner Hugo Bonat <wbonat at ufpr.br>
BugReports: https://github.com/bonatwagner/mcglm/issues
License: GPL-3
URL: https://github.com/bonatwagner/mcglm
NeedsCompilation: yes
Materials: README
CRAN checks: mcglm results

Documentation:

Reference manual: mcglm.html , mcglm.pdf
Vignettes: Fitting generalized linear models using the mcglm package (source, R code)
Choosing link, variance and covariance functions (source, R code)

Downloads:

Package source: mcglm_0.9.0.tar.gz
Windows binaries: r-devel: mcglm_0.9.0.zip, r-release: not available, r-oldrel: not available
macOS binaries: r-release (arm64): mcglm_0.9.0.tgz, r-oldrel (arm64): not available, r-release (x86_64): mcglm_0.9.0.tgz, r-oldrel (x86_64): not available
Old sources: mcglm archive

Linking:

Please use the canonical form https://CRAN.R-project.org/package=mcglm to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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