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arXiv · 2012.13777

General formulas for the central and non-central moments of the multinomial distribution

Frédéric Ouimet
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Abstract

We present the first general formulas for the central and non-central moments of the multinomial distribution, using a combinatorial argument and the factorial moments previously obtained in Mosimann (1962). We use the formulas to give explicit expressions for all the non-central moments up to order 8 and all the central moments up to order 4. These results expand significantly on those in Newcomer (2008) and Newcomer et al. (2008), where the non-central moments were calculated up to order 4.

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Frédéric Ouimet. 2020-12-26. General formulas for the central and non-central moments of the multinomial distribution. https://doi.org/10.3390/stats4010002

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