Abstract
A new formula for cumulants was given by Good (1975). A short proof is now given and the result is used to obtain a new formula for $k$-statistics. This formula can be used both for deriving the expressions of $k$-statistics in terms of power sums of the observations, and for checking and locating errors in formulae that are already in the literature.
Citation
I. J. Good. "A New Formula for $k$-Statistics." Ann. Statist. 5 (1) 224 - 228, January, 1977. https://doi.org/10.1214/aos/1176343757
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