Central and noncentral moments of the multivariate hypergeometric distribution

Abstract

In this short note, explicit formulas are developed for the central and noncentral moments of the multivariate hypergeometric distribution. A numerical implementation is provided in Mathematica for fast evaluations. This work complements the paper by Ouimet (2021), where analogous formulas were derived and implemented in Mathematica for the multinomial distribution.Comment: 4 pages, 0 figure