hand concern the moments and free cumulants
of familiar random variables
It follows that the cumulants
of the stochastic variable X([theta]) are given by
34] provided an interesting algebraic approach to overcomplete ICA of three sources and two mixtures by solving a system of linear equations in the third and fourth-order cumulants
, and Bofill and Zibulevsky  treated a special case ('delta-like' source distributions) of source signals after Fourier transformation.
Ian Martin (18) uses higher order cumulants
to derive asset prices and returns in a model of disasters.
Contracted Schrodinger equation topics include the purification of correlated and reduced density matrices, cumulants
, extensivity and the connected formulation, generalized normal ordering, antihermitian formulations and canonical transformation theory for dynamic correlations in multireference problems.
The first three cumulants
are the mean, variance, and third moment about the mean.
CHAPTER 10: CUMULANTS
, EXTENSIVITY, AND THE CONNECTED FORMULATION OF THE CONTRACTED SCHRO?
Inspired by the case [alpha] = 1 (which corresponds to the usual characters of the symmetric groups), Lassalle  suggested to express Jack characters in terms of, so called, free cumulants
of the transition measure of the Young diagram [lambda].
Comon in  has used higher-order cumulants
whereas, Gaeta et al in  used ML estimation framework for BSS.
In the third step we make use of Condition 1 and show that the cumulants
of order m [greater than or equal to] 3 (abbreviated by the symbol [Cum.
Zonal polynomials via Stanley's coordinates and free cumulants
In this method, a combination of higher order moments (HOM) and higher order cumulants
(HOC) are used as the features.