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Explicit formulas for the joint third and fourth central moments of the multinomial distribution

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arxiv 2006.09059 v2 pith:3K3IZVC5 submitted 2020-06-16 stat.OT math.PR

Frédéric Ouimet This is my paper · ORCID
classification stat.OTmath.PR
keywords jointmomentscentraldistributionexplicitformulasfourthmultinomial
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We give the first explicit formulas for the joint third and fourth central moments of the multinomial distribution, by differentiating the moment generating function. A general formula for the joint factorial moments was previously given in Mosimann (1962).

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  1. Reassessing Muon for Matrix Factorization

    cs.LG 2026-07 conditional novelty 6.0 of 10

    Muon's advantage over AdamW is problem-dependent: it loses or ties on plain low-rank factorization and completion but wins on nonnegative matrix factorization.

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