wsgnstat: The Wrapped Skew Generalised Normal Distribution

The skew generalised normal distribution on the line, constructed as a scale mixture of a uniform and a generalised gamma variable, and its wrapped version on the circle, with density, distribution and quantile functions, characteristic function, trigonometric moments, random generation, and estimation by the method of trigonometric moments (minimum distance, with sandwich standard errors) and by maximum likelihood. The characteristic function is evaluated through absolutely convergent integrals (the Fox H-function route), so every routine is available for all positive shape parameters, not only where the Fox-Wright series converges. A pure-C back-end does the numerics and also backs the 'Python' package 'wsgnstat'.

Version: 0.1.0
Depends: R (≥ 3.5.0)
Imports: stats
Suggests: circular, knitr, rmarkdown, testthat (≥ 3.0.0)
Published: 2026-11-14
DOI: 10.32614/CRAN.package.wsgnstat (may not be active yet)
Author: M. Theodor Loots ORCID iD [aut, cre, cph]
Maintainer: M. Theodor Loots <theo.loots at gmail.com>
BugReports: https://github.com/mtloots/wsgnstat/issues
License: GPL-3
URL: https://github.com/mtloots/wsgnstat
NeedsCompilation: yes
Language: en-GB
Citation: wsgnstat citation info
Materials: README, NEWS
CRAN checks: wsgnstat results

Documentation:

Reference manual: wsgnstat.html , wsgnstat.pdf
Vignettes: wsgnstat: the wrapped skew generalised normal distribution (source, R code)

Downloads:

Package source: wsgnstat_0.1.0.tar.gz
Windows binaries: r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries: r-release (arm64): not available, r-oldrel (arm64): not available, r-release (x86_64): not available, r-oldrel (x86_64): wsgnstat_0.1.0.tgz

Linking:

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