cumulant
Noun
Meaning
English Wikipedia has an article on:cumulantWikipedia
cumulant (plural cumulants)
(mathematics) Any of a set of parameters of a one-dimensional probability distribution of a certain form
Synonyms
Examples
Another common definition of the sample skewness is : where is the unique symmetric unbiased estimator of the third cumulant and is the symmetric unbiased estimator of the second cumulant (i.e. the variance).
Then the only free parameter is m, which controls the fourth moment (and cumulant) and hence the kurtosis.
This is analogous to the definition of kurtosis as the fourth cumulant normalized by the square of the second cumulant.