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, 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 |
| 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 |
Documentation:
| Reference manual: | qfratio.pdf |
| Vignettes: |
qfratio qfratio_distr |
Downloads:
| Package source: | qfratio_1.1.1.tar.gz |
| Windows binaries: | r-prerel: qfratio_1.1.1.zip, r-release: qfratio_1.1.1.zip, r-oldrel: qfratio_1.1.1.zip |
| macOS binaries: | r-prerel (arm64): qfratio_1.1.1.tgz, r-release (arm64): qfratio_1.1.1.tgz, r-oldrel (arm64): qfratio_1.1.1.tgz, r-prerel (x86_64): qfratio_1.1.1.tgz, r-release (x86_64): qfratio_1.1.1.tgz |
| Old sources: | qfratio archive |
Linking:
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