qfratio: Moments and Distributions of Ratios of Quadratic Forms Using Recursion

Evaluates moments of ratios (and products) of quadratic forms in normal variables, specifically using recursive algorithms developed by Bao and Kan (2013) <doi:10.1016/j.jmva.2013.03.002> and Hillier et al. (2014) <doi:10.1017/S0266466613000364>. Also provides distribution and probability density functions of simple ratios of quadratic forms in normal variables with several algorithms. Originally developed as a supplement to Watanabe (2023) <doi:10.1007/s00285-023-01930-8> for evaluating average evolvability measures in evolutionary quantitative genetics, but can be used for a broader class of statistics. Generating functions for these moments are also closely related to the top-order zonal and invariant polynomials of matrix arguments.

Version: 1.1.0
Imports: Rcpp, MASS
LinkingTo: Rcpp, RcppEigen
Suggests: gsl, mvtnorm, CompQuadForm, graphics, stats, testthat (≥ 3.0.0), rlang (≥ 0.4.7), knitr, rmarkdown
Published: 2023-10-02
Author: Junya Watanabe ORCID iD [aut, cre, cph], Patrick Alken [cph] (Author of bundled C codes from GSL), Brian Gough [cph] (Author of bundled C codes from GSL), Pavel Holoborodko [cph] (Author of bundled C codes from GSL), Gerard Jungman [cph] (Author of bundled C codes from GSL), Reid Priedhorsky [cph] (Author of bundled C codes from GSL), Free Software Foundation, Inc. [cph] (Copyright holder of some bundled scripts)
Maintainer: Junya Watanabe <jw2098 at cam.ac.uk>
BugReports: https://github.com/watanabe-j/qfratio/issues
License: GPL (≥ 3)
URL: https://github.com/watanabe-j/qfratio
NeedsCompilation: yes
Citation: qfratio citation info
Materials: README NEWS
In views: Distributions
CRAN checks: qfratio results


Reference manual: qfratio.pdf
Vignettes: qfratio


Package source: qfratio_1.1.0.tar.gz
Windows binaries: r-devel: qfratio_1.1.0.zip, r-release: qfratio_1.1.0.zip, r-oldrel: qfratio_1.1.0.zip
macOS binaries: r-release (arm64): qfratio_1.1.0.tgz, r-oldrel (arm64): qfratio_1.1.0.tgz, r-release (x86_64): qfratio_1.1.0.tgz, r-oldrel (x86_64): qfratio_1.1.0.tgz
Old sources: qfratio archive


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