General Formulas for the Central and Non-Central Moments of the Multinomial Distribution
Keyword(s):
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.
1954 ◽
Vol 50
(1)
◽
pp. 40-48
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1973 ◽
Vol 73
(1)
◽
pp. 111-118
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Keyword(s):