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

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