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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.
Version: | 1.1.1 |
Imports: | Rcpp, MASS, stats |
LinkingTo: | Rcpp, RcppEigen |
Suggests: | mvtnorm, CompQuadForm, graphics, testthat (≥ 3.0.0), knitr, rmarkdown |
Published: | 2024-02-09 |
DOI: | 10.32614/CRAN.package.qfratio |
Author: | Junya Watanabe [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 <Junya.Watanabe at uab.cat> |
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 qfratio_distr |
Package source: | qfratio_1.1.1.tar.gz |
Windows binaries: | r-devel: qfratio_1.1.1.zip, r-release: qfratio_1.1.1.zip, r-oldrel: qfratio_1.1.1.zip |
macOS binaries: | r-release (arm64): qfratio_1.1.1.tgz, r-oldrel (arm64): qfratio_1.1.1.tgz, r-release (x86_64): qfratio_1.1.1.tgz, r-oldrel (x86_64): qfratio_1.1.1.tgz |
Old sources: | qfratio archive |
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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.