Moments and -commutators of noncommutative random vectors
arXiv:1104.4395
Abstract
A method for computing the mixed moments of (not necessarily commutative) random vectors from the first order moments, the -commutators between the annihilation and creation operators, and the -commutators between the annihilation and preservation operators, is presented. The method is illustrated by a relevant characterization of -Gaussian vectors.
14 pages, 1 figure