Exact Distributions of Some Functions of the Ordered Multinomial Counts R package XOMultinom version 0.9.0-2 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. Software Depends: R (>= 3.6.0), utils Imports: ggplot2 (>= 3.5.1), graphics, methods, Rcpp, rlang, stats, tools LinkingTo: Rcpp, RcppProgress Sergio Venturini <sergio.venturini@unicatt.it> Comprehensive R Archive Network (CRAN) Sergio Venturini [aut, cre], Marco Bonetti [ctb] GPL-3 2026-07-20 application/tgz https://CRAN.R-project.org/package=XOMultinom doi:10.32614/CRAN.package.XOMultinom