A refinement of the multinomial distribution with application
Probability
2025-08-19 v1
Abstract
A refinement of the multinomial distribution is presented where the number of inversions in the sequence of outcomes is tallied. This refinement of the multinomial distribution is its joint distribution with the number of inversions in the accompanying experiment. An application of this additional information is described in which the number of inversions acts as a proxy measure of homogeneity (or lack thereof) in the sequence of outcomes.
Cite
@article{arxiv.2409.05788,
title = {A refinement of the multinomial distribution with application},
author = {Andrew V. Sills},
journal= {arXiv preprint arXiv:2409.05788},
year = {2025}
}
Comments
19 pages. To appear in Applied Mathematical Analysis and Computation---First Southern Georgia Mathematics Conference, Statesboro, USA, April 2-3, 2021 (virtual)