Implements exact algorithms for computing the distributions of the maximum, the minimum, the range, and the sum of the J largest order statistics of a multinomial random vector. Two complementary algorithm families are provided: the recursive tree-traversal method of Bonetti, Cirillo, and Ogay (2019) <doi:10.1098/rsos.190198>, which covers all four statistics under the equiprobable hypothesis; and the stochastic matrix method of Corrado (2011) <doi:10.1007/s11222-010-9174-3>, which handles the maximum, minimum, and range for arbitrary probability vectors. Functions for power evaluation and sample size determination for goodness-of-fit tests based on these order statistics are also provided. Computationally intensive routines are implemented in 'C++' for efficiency.
| Version: | 0.8.7 |
| Depends: | R (≥ 3.6.0), utils |
| Imports: | ggplot2 (≥ 3.5.1), graphics, methods, Rcpp, rlang, stats, tools |
| LinkingTo: | Rcpp, RcppProgress |
| Published: | 2026-06-01 |
| DOI: | 10.32614/CRAN.package.XOMultinom |
| Author: | Sergio Venturini [aut, cre], Marco Bonetti [ctb] |
| Maintainer: | Sergio Venturini <sergio.venturini at unicatt.it> |
| BugReports: | https://github.com/sergioventurini/XOMultinom/issues |
| License: | GPL-3 |
| URL: | https://github.com/sergioventurini/XOMultinom |
| NeedsCompilation: | yes |
| CRAN checks: | XOMultinom results |
| Reference manual: | XOMultinom.html , XOMultinom.pdf |
| Package source: | XOMultinom_0.8.7.tar.gz |
| Windows binaries: | r-devel: XOMultinom_0.8.7.zip, r-release: XOMultinom_0.8.7.zip, r-oldrel: XOMultinom_0.8.7.zip |
| macOS binaries: | r-release (arm64): XOMultinom_0.8.7.tgz, r-oldrel (arm64): XOMultinom_0.8.7.tgz, r-release (x86_64): XOMultinom_0.8.7.tgz, r-oldrel (x86_64): XOMultinom_0.8.7.tgz |
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