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Central and noncentral moments of the multivariate hypergeometric distribution

Central and noncentral moments of the multivariate hypergeometric distribution

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.