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arcstat: Arc-Length Statistics: Goodness of Fit, Distributions and a Bayesian Test

Inference from the arc length of statistical functions. Three tools share one pure-C back-end: a goodness-of-fit test based on the arc length of the probability plot, with an analytic saddlepoint null and sensitivity to local density structure that the empirical-distribution tests miss; two constructions that build a distribution from the arc length of its defining curve, the arc-length generator and the quantile arc-length family estimated by L-moments; and a Bayesian nonparametric arc-length goodness-of-fit test on the Dirichlet-process posterior. The same C sources back the 'Python' package 'arcstat'.

Version: 0.3.0
Imports: stats
Suggests: MASS, knitr, rmarkdown, testthat (≥ 3.0.0)
Published: 2026-09-14
DOI: 10.32614/CRAN.package.arcstat
Author: M. Theodor Loots ORCID iD [aut, cre]
Maintainer: M. Theodor Loots <theo.loots at gmail.com>
BugReports: https://github.com/mtloots/arcstat/issues
License: GPL-3
URL: https://github.com/mtloots/arcstat
NeedsCompilation: yes
Materials: README, NEWS
CRAN checks: arcstat results

Documentation:

Reference manual: arcstat.html , arcstat.pdf
Vignettes: Arc length as a statistical functional (source, R code)

Downloads:

Package source: arcstat_0.3.0.tar.gz
Windows binaries: r-devel: not available, r-release: arcstat_0.3.0.zip, r-oldrel: arcstat_0.3.0.zip
macOS binaries: r-release (arm64): not available, r-oldrel (arm64): arcstat_0.3.0.tgz, r-release (x86_64): arcstat_0.3.0.tgz, r-oldrel (x86_64): arcstat_0.3.0.tgz
Old sources: arcstat archive

Linking:

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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.