Package: qfratio 1.1.1.9000

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.

Authors:Junya Watanabe [aut, cre, cph], Patrick Alken [cph], Brian Gough [cph], Pavel Holoborodko [cph], Gerard Jungman [cph], Reid Priedhorsky [cph], Free Software Foundation, Inc. [cph]

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Bug tracker:https://github.com/watanabe-j/qfratio/issues

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quadratic-formsrcpprcppeigenzonal-polynomials

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Exports:dqfrpqfrqfm_Ap_intqfmrmqfmrm_ApBDqr_intqfmrm_ApBDqr_npiqfmrm_ApBIqr_intqfmrm_ApBIqr_npiqfmrm_IpBDqr_genqfpm_ABDpqr_intqfpm_ABpq_intqfrmqfrm_ApBq_intqfrm_ApBq_npiqfrm_ApIq_intqfrm_ApIq_npiqqfrrqfmrrqfprqfr

Dependencies:MASSRcppRcppEigen