The Hyperdirichlet Distribution, Mark 2

A suite of routines for the hyperdirichlet distribution and reified Bradley-Terry; supersedes the 'hyperdirichlet' package; uses 'disordR' discipline <doi:10.48550/ARXIV.2210.03856>. To cite in publications please use Hankin 2017 <doi:10.32614/rj-2017-061>, and for Generalized Plackett-Luce likelihoods use Hankin 2024 <doi:10.18637/jss.v109.i08>.

Details

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A generalization of the Dirichlet distribution, using a more computationally efficient method than the hyperdirichlet package. The software is designed for the analysis of order statistics and team games.

Author

Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>)

Maintainer: Robin K. S. Hankin <hankin.robin@gmail.com>

References

  • R. K. S. Hankin (2010). “A Generalization of the Dirichlet Distribution”, Journal of Statistical Software, 33(11), 1-18, doi:10.18637/jss.v033.i11

  • R. K. S. Hankin 2017. “Partial Rank Data with the hyper2 Package: Likelihood Functions for Generalized Bradley-Terry Models”. The R Journal 9:2, pages 429-439, doi:10.32614/rj-2017-061

  • R. K. S. Hankin 2024. “Generalized Plackett-Luce Likelihoods”, Journal of Statistical Software, 109(8), 1-17, doi:10.18637/jss.v109.i08

Examples

icons
#> log(L^24 * (L + NB + OA + THC)^-20 * (L + NB + OA + WAIS)^-9 * (L + NB
#> + THC + WAIS)^-15 * (L + OA + PB + THC)^-11 * (L + OA + PB + WAIS)^-18
#> * (L + PB + THC + WAIS)^-16 * NB^32 * (NB + OA + PB + THC)^-18 * (NB +
#> OA + PB + WAIS)^-8 * (NB + PB + THC + WAIS)^-18 * OA^14 * PB^30 *
#> THC^24 * WAIS^9)
maxp(icons)
#>         NB          L         PB        THC         OA       WAIS 
#> 0.25230411 0.17364433 0.22458188 0.17011281 0.11068604 0.06867083