Package: rootWishartHD 0.95.2

Stepan Grinek

rootWishartHD: Exact and Log-Scale Tail Probabilities for Roy's Largest Root

Provides distribution functions and log-scale tail probabilities for Roy's largest root in single and double Wishart (Jacobi ensemble) settings. This package is derived from the 'rootWishart' package by Maxime Turgeon and extends it with numerically robust log-CDF/log-survival evaluation, tail-aware adaptive precision, and high-dimensional validation utilities, based on Chiani (2014) <doi:10.1016/j.jmva.2014.04.002> and Chiani (2016) <doi:10.1016/j.jmva.2015.10.007>.

Authors:Stepan Grinek [aut, cre], Maxime Turgeon [ctb]

rootWishartHD_0.95.2.tar.gz
rootWishartHD_0.95.2.zip(r-4.7-x86_64)rootWishartHD_0.95.2.zip(r-4.7-arm64)rootWishartHD_0.95.2.zip(r-4.6-x86_64)rootWishartHD_0.95.2.zip(r-4.6-arm64)rootWishartHD_0.95.2.zip(r-4.5-x86_64)
rootWishartHD_0.95.2.tgz(r-4.6-x86_64)rootWishartHD_0.95.2.tgz(r-4.6-arm64)rootWishartHD_0.95.2.tgz(r-4.5-x86_64)rootWishartHD_0.95.2.tgz(r-4.5-arm64)
rootWishartHD_0.95.2.tar.gz(r-4.7-arm64)rootWishartHD_0.95.2.tar.gz(r-4.7-x86_64)rootWishartHD_0.95.2.tar.gz(r-4.6-arm64)rootWishartHD_0.95.2.tar.gz(r-4.6-x86_64)
rootWishartHD_0.95.2.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
rootWishartHD/json (API)

# Install 'rootWishartHD' in R:
install.packages('rootWishartHD', repos = c('https://stepanv1.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/stepanv1/rootwisharthd/issues

Uses libs:
  • c++– GNU Standard C++ Library v3

On CRAN:

Conda:

cpp

4.00 score 233 downloads 11 exports 3 dependencies

Last updated from:9a0694133e. Checks:15 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-arm64OK169
linux-devel-x86_64OK206
source / vignettesOK287
linux-release-arm64OK139
linux-release-x86_64OK175
macos-release-arm64OK208
macos-release-x86_64OK455
macos-oldrel-arm64OK264
macos-oldrel-x86_64OK626
windows-devel-arm64OK403
windows-devel-x86_64OK216
windows-release-arm64OK375
windows-release-x86_64OK182
windows-oldrel-x86_64OK140
wasm-releaseOK145

Exports:doubleWishartdoubleWishart_logdoubleWishart_pvaluedoubleWishart_qalphadoubleWishart_robustPfaffiansdoubleWishart_scaledrootWishartHD_mpfr_enabledsingleWishart_cdfsingleWishart_logsingleWishart_pvaluesingleWishart_qalpha

Dependencies:BHRcppRcppEigen

Exact and log-scale tail probabilities for Roy's largest root with rootWishartHD
Overview | Basic usage: the CDF | Multiprecision backend | Log scale to avoid tail saturation | Regulating precision | Validation: empirical vs analytic CDF | Performance across dimensions | Reproducing the benchmarks | References
Rendered fromrootWishartHD.Rmdusingknitr::rmarkdown

Last update: 2026-07-07
Started: 2026-07-07

The rootWishartHD function family: backends, tails, p-values and critical values
Scope | A map of the family | Double-Wishart: CDF backends | Saturation and log functions | The robust-Pfaffian stress tool | Applied workflow: p-values and critical values | doubleWishart_pvalue() | doubleWishart_qalpha() | Single-Wishart family | The benchmark harness | When to call what | References
Rendered fromrootWishartHD-family.Rmdusingknitr::rmarkdown

Last update: 2026-07-07
Started: 2026-07-07