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.

翻译：本文简要推导了多元超几何分布的中心矩与非中心矩的显式公式，并提供了基于Mathematica的数值实现以支持快速计算。本研究补充了Ouimet（2021）的工作——该文针对多项分布推导了类似公式并在Mathematica中实现。