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mixqr: Extensible Finite Mixtures of Quantile and Expectile Regressions

An extensible expectation-maximization (EM) framework for finite mixtures of quantile regressions (clusterwise / mixture-of-experts quantile regression). A single EM substrate with an engine/extension contract carries a family of capabilities: the core free-weight mixture of Wu and Yao (2016) <doi:10.1016/j.csda.2014.04.014> – a fast asymmetric-Laplace path and the nonparametric kernel-density EM with components constrained to have their tau-quantile equal to zero (Hall and Presnell 1999 device); expectile and M-quantile component-loss families (Newey and Powell 1987; Breckling and Chambers 1988); component-specific penalized variable selection (SCAD / adaptive-LASSO, the quantile analogue of Khalili and Chen 2007); and joint multi-quantile estimation with a shared latent classification and non-crossing component curves. Provides classification-aware standard errors (sparsity and stochastic-EM multiple imputation), multi-start estimation, component-count selection, and prediction. The companion package 'mixqrgate' adds location-varying gating.

Version: 0.2.0
Depends: R (≥ 4.1)
Imports: quantreg, stats, graphics, utils
Suggests: ggplot2, rqPen, testthat (≥ 3.0.0), knitr, rmarkdown
Published: 2026-06-25
DOI: 10.32614/CRAN.package.mixqr (may not be active yet)
Author: Kailas Venkitasubramanian [aut, cre, cph]
Maintainer: Kailas Venkitasubramanian <kailasv at gmail.com>
BugReports: https://github.com/kvenkita/mixqr/issues
License: MIT + file LICENSE
URL: https://github.com/kvenkita/mixqr, https://kvenkita.github.io/mixqr/
NeedsCompilation: no
Citation: mixqr citation info
Materials: README, NEWS
CRAN checks: mixqr results

Documentation:

Reference manual: mixqr.html , mixqr.pdf
Vignettes: Get started with mixqr (source, R code)
A Tutorial on Mixtures of Quantile Regressions (source, R code)

Downloads:

Package source: mixqr_0.2.0.tar.gz
Windows binaries: r-devel: mixqr_0.2.0.zip, r-release: not available, r-oldrel: not available
macOS binaries: r-release (arm64): mixqr_0.2.0.tgz, r-oldrel (arm64): mixqr_0.2.0.tgz, r-release (x86_64): mixqr_0.2.0.tgz, r-oldrel (x86_64): mixqr_0.2.0.tgz

Linking:

Please use the canonical form https://CRAN.R-project.org/package=mixqr 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.