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.
