Package: qfratio
Type: Package
Title: Moments and Distributions of Ratios of Quadratic Forms Using
        Recursion
Version: 1.1.1.9000
Date: 2026-05-20
Authors@R: c(person("Junya", "Watanabe",
                    email = "Junya.Watanabe@vetmeduni.ac.at",
                    role = c("aut", "cre", "cph"),
                    comment = c(ORCID = "0000-0002-9810-5286")),
             person("Patrick", "Alken", role = "cph",
                    comment = "Author of bundled C codes from GSL"),
             person("Brian", "Gough", role = "cph",
                    comment = "Author of bundled C codes from GSL"),
             person("Pavel", "Holoborodko", role = "cph",
                    comment = "Author of bundled C codes from GSL"),
             person("Gerard", "Jungman", role = "cph",
                    comment = "Author of bundled C codes from GSL"),
             person("Reid", "Priedhorsky", role = "cph",
                    comment = "Author of bundled C codes from GSL"),
             person("Free Software Foundation, Inc.", role = "cph",
                    comment = "Copyright holder of some bundled scripts"))
Description: 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,
        quantile, 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.
License: GPL (>= 3)
URL: https://github.com/watanabe-j/qfratio
BugReports: https://github.com/watanabe-j/qfratio/issues
Imports: Rcpp, MASS, stats
LinkingTo: Rcpp, RcppEigen
Suggests: mvtnorm, CompQuadForm, graphics, testthat (>= 3.0.0), knitr,
        rmarkdown
Encoding: UTF-8
Roxygen: list(markdown = TRUE)
RoxygenNote: 7.3.3
Config/testthat/edition: 3
VignetteBuilder: knitr, rmarkdown
Repository: https://watanabe-j.r-universe.dev
Date/Publication: 2026-05-20 08:10:37 UTC
RemoteUrl: https://github.com/watanabe-j/qfratio
RemoteRef: HEAD
RemoteSha: 4c906aadb6717c9e8fd1c885ae36c5c47e98513b
NeedsCompilation: yes
Packaged: 2026-06-19 07:09:06 UTC; root
Author: Junya Watanabe [aut, cre, cph] (ORCID:
    <https://orcid.org/0000-0002-9810-5286>),
  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 <Junya.Watanabe@vetmeduni.ac.at>