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mhn: The Modified Half-Normal Distribution

Provides density, distribution, quantile, and random generation functions for the Modified Half-Normal (MHN) distribution, along with moments, mode, and the Fox-Wright Psi function used as the normalizing constant. The MHN distribution arises as a conditional posterior in Bayesian MCMC and generalizes the half-normal, truncated normal, and square-root gamma distributions. Implements efficient sampling via the Sun, Kong & Pal (2023) <doi:10.1080/03610926.2021.1934700> algorithms and the Gao & Wang (2025) <doi:10.1080/03610918.2025.2524551> RTDR method.

Version: 0.1.0
Depends: R (≥ 4.0.0)
Imports: stats, Rcpp (≥ 1.0.7)
LinkingTo: Rcpp, BH (≥ 1.78.0-0)
Suggests: testthat (≥ 3.0.0), knitr, rmarkdown, bench, Rmpfr
Published: 2026-05-27
DOI: 10.32614/CRAN.package.mhn
Author: Tomotaka Momozaki [aut, cre]
Maintainer: Tomotaka Momozaki <momozaki.stat at gmail.com>
BugReports: https://github.com/t-momozaki/mhn/issues
License: MIT + file LICENSE
URL: https://github.com/t-momozaki/mhn, https://t-momozaki.github.io/mhn/
NeedsCompilation: yes
SystemRequirements: C++17
Citation: mhn citation info
Materials: README, NEWS
CRAN checks: mhn results

Documentation:

Reference manual: mhn.html , mhn.pdf
Vignettes: Introduction to the mhn Package (source, R code)
Theoretical background of the mhn package (source, R code)

Downloads:

Package source: mhn_0.1.0.tar.gz
Windows binaries: r-devel: mhn_0.1.0.zip, r-release: mhn_0.1.0.zip, r-oldrel: mhn_0.1.0.zip
macOS binaries: r-release (arm64): mhn_0.1.0.tgz, r-oldrel (arm64): mhn_0.1.0.tgz, r-release (x86_64): mhn_0.1.0.tgz, r-oldrel (x86_64): mhn_0.1.0.tgz

Linking:

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