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.

The hex sticker features the “draw monster”, a concept introduced in Hankin (2020) as a reified entity, representing the winner of a drawn chess game. The character was visualized and sketched by my daughter Annabel. In the chess world, draws are often seen as dull and undesirable, and the draw monster embodies this sentiment: he is a dampening presence, a metaphorical wet blanket. The drawing conveys this lack of fighting spirit well, capturing the essence of an uninspired and anticlimactic outcome.

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