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XOMultinom  

Exact Distributions of Some Functions of the Ordered Multinomial Counts
View on CRAN: Click here


Download and install XOMultinom package within the R console
Install from CRAN:
install.packages("XOMultinom")

Install from Github:
library("remotes")
install_github("cran/XOMultinom")

Install by package version:
library("remotes")
install_version("XOMultinom", "0.9.0-2")



Attach the package and use:
library("XOMultinom")
Maintained by
Sergio Venturini
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-06-01
Latest Update: 2026-06-01
Description:
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.
How to cite:
Sergio Venturini (2026). XOMultinom: Exact Distributions of Some Functions of the Ordered Multinomial Counts. R package version 0.9.0-2, https://cran.r-project.org/web/packages/XOMultinom. Accessed 25 Oct. 2026.
Previous versions and publish date:
(2026-07-20 15:00), 0.8.7 (2026-06-01 10:40), 0.9.0 (2026-06-21 15:40)
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Complete documentation for XOMultinom
Functions, R codes and Examples using the XOMultinom R package
Full XOMultinom package functions and examples
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