qfratio

Moments and Distributions of Ratios of Quadratic Forms Using Recursion

CRAN Package

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.


Documentation


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Insights

Last 30 days

This package has been downloaded 194 times in the last 30 days. More than a random curiosity, but not quite a blockbuster. Still, it's gaining traction! The following heatmap shows the distribution of downloads per day. Yesterday, it was downloaded 6 times.

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0 downloadsMar 2, 2025
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9 downloadsMar 4, 2025
13 downloadsMar 5, 2025
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6 downloadsApr 2, 2025
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The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.

Last 365 days

This package has been downloaded 2,601 times in the last 365 days. Consider this 'mid-tier influencer' status—if it were a TikTok, it would get a nod from nieces and nephews. The day with the most downloads was Jul 23, 2024 with 87 downloads.

The following line graph shows the downloads per day. You can hover over the graph to see the exact number of downloads per day.

Data provided by CRAN


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Dependencies

  • Imports2 packages
  • Suggests5 packages
  • Linking To2 packages