Package: XOMultinom 0.8.7

Sergio Venturini

XOMultinom: Exact Distributions of Some Functions of the Ordered Multinomial Counts

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.

Authors:Sergio Venturini [aut, cre], Marco Bonetti [ctb]

XOMultinom_0.8.7.tar.gz
XOMultinom_0.8.7.tar.gz(r-4.7-arm64)XOMultinom_0.8.7.tar.gz(r-4.7-x86_64)XOMultinom_0.8.7.tar.gz(r-4.6-arm64)XOMultinom_0.8.7.tar.gz(r-4.6-x86_64)
XOMultinom_0.8.7.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
card.svg |card.png
XOMultinom/json (API)

# Install 'XOMultinom' in R:
install.packages('XOMultinom', repos = c('https://cran.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/sergioventurini/xomultinom/issues

Uses libs:
  • c++– GNU Standard C++ Library v3
  • openmp– GCC OpenMP (GOMP) support library
Datasets:
  • leukaemia - Data: Leukaemia cases
  • mainsail - MAINSAIL trial: comparator-arm data with Halabi 2014 risk scores

On CRAN:

Conda:

cppopenmp

1.00 score 27 exports 19 dependencies

Last updated from:8234e559ef. Checks:6 OK. Indexed: no.

TargetResultTimeFilesSyslog
linux-devel-arm64OK184
linux-devel-x86_64OK181
source / vignettesOK267
linux-release-arm64OK179
linux-release-x86_64OK174
wasm-releaseOK153

Exports:autoplotdecr_2_pmindJlargemultinomdmaxmultinomdminmultinomdrangemultinomfind_gamma_probfind_k_alphafind_k_gammaincr_2_pmaxmaxmin_multinom_sizepJlargemultinompmax_2_incrpmaxmultinompmin_2_decrpminmultinomprangemultinomqJlargemultinomqmaxmultinomqminmultinomqrangemultinomrdirichletrJlargemultinomrmaxmultinomrminmultinomround_exactrrangemultinom

Dependencies:clicpp11farverggplot2gluegtableisobandlabelinglifecycleR6RColorBrewerRcppRcppProgressrlangS7scalesvctrsviridisLitewithr

Readme and manuals

Help Manual

Help pageTopics
XOMultinom: Exact distributions of ordered multinomial countsXOMultinom-package XOMultinom XOMultinom-pkg
Coerce an 'xomultinom_dist' object to a data frameas.data.frame.xomultinom_dist
Coerce an 'xomultinom_size' object to a data frameas.data.frame.xomultinom_size
ggplot2-based plot for 'xomultinom_dist' objectsautoplot.xomultinom_dist
ggplot2-based plot for 'xomultinom_size' objectsautoplot.xomultinom_size
Utility function.decr_2_pmin
PMF of the sum of J largest order statistics for a multinomial distributiondJlargemultinom
PMF of the maximum for a multinomial distributiondmaxmultinom
PMF of the minimum for a multinomial distributiondminmultinom
PMF of the range for a multinomial distributiondrangemultinom
Randomization probability for max/min multinomial testsfind_gamma_prob
Critical value for max/min multinomial testsfind_k_alpha
Critical value and randomization probability for max/min testsfind_k_gamma
Utility function.incr_2_pmax
Data: Leukaemia casesleukaemia
MAINSAIL trial: comparator-arm data with Halabi 2014 risk scoresmainsail
Sample size determination for multinomial max/min testsmaxmin_multinom_size
CDF of the sum of J largest order statistics for a multinomial distributionpJlargemultinom
Plot method for 'xomultinom_dist' objectsplot.xomultinom_dist
Plot method for 'xomultinom_size' objectsplot.xomultinom_size
Utility function.pmax_2_incr
CDF of the maximum for a multinomial distributionpmaxmultinom
Utility function.pmin_2_decr
CDF of the minimum for a multinomial distributionpminmultinom
CDF of the range for a multinomial distributionprangemultinom
Print method for 'xomultinom_dist' objectsprint.xomultinom_dist
Print method for 'xomultinom_size' objectsprint.xomultinom_size
Quantile function of the sum of J largest order statistics for a multinomial distributionqJlargemultinom
Quantile function of the maximum for a multinomial distributionqmaxmultinom
Quantile function of the minimum for a multinomial distributionqminmultinom
Quantile function of the range for a multinomial distributionqrangemultinom
Random generation from a Dirichlet distributionrdirichlet
Random generation from the distribution of the sum of J largest order statistics for a multinomial distributionrJlargemultinom
Random generation from the distribution of the multinomial maximumrmaxmultinom
Random generation from the distribution of the multinomial minimumrminmultinom
Stable rounding functionround_exact
Random generation from the distribution of the multinomial rangerrangemultinom
Summary method for 'xomultinom_dist' objectssummary.xomultinom_dist
Summary method for 'xomultinom_size' objectssummary.xomultinom_size